135738968990625
135,738,968,990,625 is an odd composite number composed of six prime numbers multiplied together.
135738968990625 is an odd composite number. It is composed of six distinct prime numbers multiplied together. It has a total of two thousand, one hundred sixty divisors.
Prime factorization of 135738968990625:
34 × 55 × 73 × 11 × 132 × 292
(3 × 3 × 3 × 3 × 5 × 5 × 5 × 5 × 5 × 7 × 7 × 7 × 11 × 13 × 13 × 29 × 29)See below for interesting mathematical facts about the number 135738968990625 from the Numbermatics database.
Names of 135738968990625
- Cardinal: 135738968990625 can be written as One hundred thirty-five trillion, seven hundred thirty-eight billion, nine hundred sixty-eight million, nine hundred ninety thousand, six hundred twenty-five.
Scientific notation
- Scientific notation: 1.35738968990625 × 1014
Factors of 135738968990625
Divisors of 135738968990625
- Number of divisors d(n): 2160
-
Complete list of divisors:
1 3 5 7 9 11 13 15 21 25 27 29 33 35 39 45 49 55 63 65 75 77 81 87 91 99 105 117 125 135 143 145 147 165 169 175 189 195 203 225 231 245 261 273 275 297 315 319 325 343 351 375 377 385 405 429 435 441 455 495 507 525 539 567 585 609 625 637 675 693 715 725 735 783 819 825 841 845 875 891 945 957 975 1001 1015 1029 1053 1125 1131 1155 1183 1225 1287 1305 1323 1365 1375 1421 1485 1521 1575 1595 1617 1625 1715 1755 1827 1859 1875 1885 1911 1925 2025 2079 2145 2175 2205 2233 2275 2349 2457 2475 2523 2535 2625 2639 2695 2835 2871 2925 3003 3045 3087 3125 3185 3375 3393 3465 3549 3575 3625 3675 3773 3861 3915 3969 4095 4125 4147 4205 4225 4263 4375 4455 4459 4563 4725 4785 4851 4875 4901 5005 5075 5145 5265 5481 5577 5625 5655 5733 5775 5887 5915 6125 6237 6435 6525 6615 6699 6825 6875 7007 7105 7371 7425 7569 7605 7875 7917 7975 8085 8125 8281 8575 8613 8775 9009 9135 9251 9261 9295 9375 9425 9555 9625 9947 10125 10179 10395 10647 10725 10875 10933 11025 11165 11319 11375 11583 11745 12285 12375 12441 12615 12675 12789 13013 13125 13195 13377 13475 13689 14175 14355 14553 14625 14703 15015 15225 15435 15631 15925 16443 16731 16875 16965 17199 17325 17661 17745 17875 18125 18375 18473 18865 19305 19575 19845 20097 20475 20625 20735 21021 21025 21125 21315 21875 22275 22295 22707 22815 23625 23751 23925 24255 24375 24505 24843 25025 25375 25725 25839 26325 27027 27405 27753 27783 27885 28125 28275 28665 28875 29029 29435 29575 29841 30537 30625 31185 31941 32175 32625 32799 33075 33495 33957 34125 34307 34375 35035 35525 36855 37125 37323 37845 38025 38367 39039 39375 39585 39875 40131 40425 40625 41209 41405 42875 43065 43659 43875 44109 45045 45675 46255 46305 46475 46893 47125 47775 48125 49049 49735 50193 50625 50895 51597 51975 52983 53235 53625 53911 54375 54665 55125 55419 55825 56595 56875 57915 57967 58725 60291 61425 61875 62205 63063 63075 63375 63945 64757 65065 65625 65975 66885 67375 68121 68445 70875 71253 71775 72765 73125 73515 74529 75075 76125 76531 77175 78155 79625 81081 82215 83259 83655 84375 84825 85995 86625 87087 88305 88725 89375 89523 90625 91091 91875 92365 94325 95823 96525 97875 98397 99225 100485 101871 102375 102921 103125 103675 105105 105125 105625 106575 109417 111375 111475 111969 113535 114075 115101 117117 118125 118755 119625 120263 120393 121275 121875 122525 123627 124215 125125 126875 128625 129195 129311 131625 132327 135135 137025 138765 138915 139425 140679 141375 142129 143325 144375 145145 147147 147175 147875 149205 150579 152685 153125 155925 158949 159705 160875 161733 163125 163995 165375 166257 167475 169785 170625 171535 173901 175175 177625 180873 184275 185625 186615 189189 189225 190125 191835 194271 195195 196875 197925 199375 200655 202125 203203 206045 207025 213759 214375 215325 218295 219375 220545 223587 225225 228375 229593 231275 231525 232375 234465 235625 238875 240149 240625 245245 248675 249777 250965 253125 254475 257985 259875 261261 264915 266175 268125 268569 269555 271875 273273 273325 275625 277095 279125 282975 284375 288463 289575 289835 293625 295191 301455 305613 307125 308763 309375 311025 315315 315375 316875 319725 323785 325325 328251 329875 334425 335907 336875 340605 342225 351351 354375 356265 358875 360789 361179 363825 365625 367575 370881 372645 375375 377377 380625 382655 385875 387933 390775 396981 398125 405405 411075 416295 418275 422037 424125 426387 429975 433125 435435 441441 441525 443625 446875 447615 453299 455455 459375 461825 471625 476847 479115 482625 485199 489375 491985 496125 498771 502425 509355 511875 514605 518375 521703 525525 525625 528125 532875 535717 547085 556875 557375 559845 567567 567675 570375 575505 582813 585585 590625 593775 598125 601315 601965 606375 609609 612625 618135 621075 625625 634375 637637 643125 645975 646555 658125 661635 670761 675675 685125 688779 693825 694575 697125 703395 706875 710645 716625 720447 721875 725725 735735 735875 739375 746025 749331 752895 763425 779625 783783 794745 798525 804375 805707 808665 815625 819819 819975 826875 831285 837375 841841 848925 853125 857675 865389 869505 875875 885573 888125 904365 921375 926289 928125 933075 945945 946125 950625 959175 971355 975975 984753 989625 994903 996875 1003275 1010625 1016015 1030225 1035125 1054053 1068795 1071875 1076625 1082367 1091475 1096875 1102725 1112643 1117935 1126125 1132131 1141875 1147965 1156375 1157625 1161875 1163799 1172325 1178125 1194375 1200745 1226225 1243375 1248885 1254825 1266111 1272375 1279161 1289925 1299375 1306305 1324323 1324575 1330875 1340625 1342845 1347775 1359897 1366365 1366625 1378125 1385475 1395625 1414875 1422421 1442315 1447875 1449175 1455597 1468125 1475955 1496313 1507275 1528065 1535625 1543815 1555125 1563419 1565109 1576575 1576875 1584375 1598625 1607151 1618925 1626625 1641255 1649375 1672125 1679535 1681043 1684375 1703025 1711125 1748439 1756755 1771875 1781325 1794375 1803945 1805895 1819125 1828827 1837875 1854405 1863225 1876875 1886885 1903125 1912911 1913275 1929375 1939665 1953875 1984905 1990625 2027025 2055375 2066337 2081475 2091375 2110185 2120625 2131935 2149875 2161341 2165625 2177175 2207205 2207625 2218125 2238075 2266495 2277275 2309125 2351349 2358125 2384235 2395575 2413125 2425995 2446875 2459457 2459925 2480625 2493855 2512125 2525523 2546775 2559375 2573025 2591875 2596167 2608515 2627625 2628125 2641639 2664375 2678585 2735425 2778867 2784375 2786875 2799225 2837835 2838375 2851875 2877525 2914065 2927925 2954259 2968875 2984709 2990625 3006575 3009825 3031875 3048045 3063125 3090675 3105375 3128125 3173093 3188185 3215625 3229875 3232775 3247101 3290625 3308175 3337929 3353805 3378375 3396393 3425625 3443895 3469125 3472875 3485625 3491397 3516975 3534375 3553225 3583125 3602235 3628625 3678675 3679375 3696875 3730125 3746655 3750019 3764475 3817125 3837483 3898125 3918915 3972969 3973725 3992625 4021875 4028535 4043325 4079691 4099095 4099875 4134375 4156425 4186875 4209205 4244625 4267263 4288375 4326945 4347525 4366791 4379375 4427865 4440625 4521825 4606875 4631445 4665375 4690257 4695327 4729725 4730625 4753125 4795875 4821453 4856775 4879875 4923765 4948125 4974515 5016375 5043129 5053125 5080075 5151125 5175625 5245317 5270265 5343975 5383125 5411835 5457375 5486481 5513625 5563215 5589675 5630625 5660655 5709375 5738733 5739825 5781875 5788125 5809375 5818995 5861625 5892887 5971875 6003725 6131125 6199011 6216875 6244425 6274125 6330555 6361875 6395805 6449625 6484023 6496875 6531525 6621615 6622875 6654375 6714225 6738875 6799485 6831825 6833125 6927375 6964321 6978125 7074375 7112105 7211575 7239375 7245875 7277985 7340625 7378371 7379775 7481565 7536375 7576569 7640325 7678125 7719075 7775625 7788501 7817095 7825545 7882875 7884375 7924917 7993125 8035755 8094625 8133125 8206275 8246875 8360625 8397675 8405215 8515125 8555625 8742195 8783775 8862777 8906625 8954127 8971875 9019725 9029475 9095625 9144135 9189375 9272025 9316125 9384375 9434425 9519279 9564555 9566375 9646875 9698325 9741303 9769375 9924525 10135125 10189179 10276875 10331685 10407375 10456875 10474191 10550925 10603125 10659675 10749375 10806705 10885875 10943933 11036025 11038125 11090625 11190375 11250057 11332475 11386375 11512449 11545625 11756745 11790625 11921175 11977875 12065625 12129975 12239073 12297285 12299625 12403125 12469275 12560625 12627615 12733875 12801789 12865125 12959375 12980835 13042575 13138125 13208195 13321875 13392925 13677125 13894335 13934375 13996125 14070771 14189175 14191875 14259375 14387625 14464359 14570325 14639625 14771295 14844375 14923545 15032875 15049125 15129387 15159375 15240225 15315625 15453375 15526875 15865465 15940925 16149375 16163875 16235505 16459443 16540875 16689645 16769025 16891875 16981965 17128125 17216199 17219475 17345625 17364375 17428125 17456985 17584875 17678661 17766125 17915625 18011175 18143125 18393375 18396875 18491473 18650625 18733275 18750095 18822375 19085625 19187415 19452069 19490625 19594575 19864845 19868625 19963125 20142675 20216625 20398455 20495475 20499375 20782125 20892963 20934375 21046025 21223125 21336315 21441875 21634725 21737625 21833955 21896875 22139325 22609125 22729707 23034375 23157225 23326875 23365503 23451285 23476635 23648625 23653125 23774751 23979375 24107265 24283875 24399375 24618825 24740625 24872575 25081875 25215645 25400375 25755625 25878125 26226585 26351325 26719875 26862381 26915625 27059175 27286875 27432405 27568125 27816075 27948375 28153125 28303275 28557837 28693665 28699125 28909375 28940625 29094975 29308125 29464435 30018625 30567537 30655625 30995055 31084375 31222125 31370625 31652775 31809375 31979025 32248125 32420115 32657625 32831799 33108075 33114375 33271875 33571125 33694375 33750171 33997425 34159125 34165625 34636875 34821605 35371875 35560525 36057875 36196875 36229375 36389925 36717219 36891855 36898875 37407825 37681875 37882845 38201625 38405367 38595375 38878125 38942505 39085475 39127725 39414375 39624585 39965625 40178775 40473125 40665625 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86728125 86821875 87284925 87924375 88393305 88830625 90055875 90715625 91966875 92457365 93253125 93666375 93750475 94111875 95428125 95937075 97260345 97972875 98495397 99324225 99343125 99815625 100713375 101083125 101250513 101992275 102477375 102496875 103910625 104464815 105230125 106115625 106681575 107209375 108173625 108688125 109169775 110696625 113045625 113648535 115216101 115786125 116634375 116827515 117256425 117383175 118243125 118873755 119896875 120536325 121419375 121996875 123094125 123750627 124362875 125409375 126078225 126636939 127001875 128778125 131132925 131756625 133599375 134311905 135295875 136164483 136434375 137162025 137840625 139080375 139741875 141516375 142789185 143468325 143495625 145474875 146250741 146540625 147322175 150093125 152837685 153278125 154975275 156110625 156853125 158263875 159107949 159895125 161240625 162100575 163288125 164158995 165540375 165571875 166423257 167855625 168471875 168750855 169987125 170795625 173184375 174108025 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371251881 373088625 375821875 376228125 378234675 381005625 383037655 386334375 396636625 398523125 402935715 404096875 405887625 411486075 413521875 417241125 419225625 424549125 428367555 430404975 430486875 436424625 438752223 439621875 441966525 444153125 450279375 459834375 462286825 468331875 468752375 470559375 477323847 479685375 486301725 489864375 492476985 496621125 496715625 499269771 503566875 505415625 506252565 509961375 512386875 519553125 522324075 526150625 533407875 536252717 540868125 543440625 545848875 553483125 564110001 565228125 568242675 576080505 578930625 584137575 586282125 586915875 591215625 594368775 602681625 607096875 615470625 618753135 621814375 630391125 633184695 635009375 655664625 658783125 667996875 671559525 676479375 680822415 685810125 689467779 695401875 698709375 707581875 713945925 717341625 717478125 727374375 731253705 736610875 750465625 764188425 774876375 780553125 791319375 795539745 799475625 810502875 816440625 820794975 827701875 832116285 839278125 843754275 849935625 853978125 870540125 886458573 889013125 901446875 909748125 917930475 922296375 922471875 935195625 940183335 947071125 955040625 960134175 964884375 973562625 977136875 978193125 990614625 1004469375 1025784375 1031255225 1049709375 1050651875 1055307825 1069863795 1084826925 1092774375 1097971875 1107847125 1113755643 1119265875 1127465625 1128684375 1134704025 1143016875 1149112965 1159003125 1179303125 1189909875 1195569375 1212290625 1217662875 1218756175 1240565625 1273647375 1285102665 1291214925 1291460625 1309273875 1316256669 1318865625 1325899575 1332459375 1350838125 1367991625 1379503125 1386860475 1406257125 1416559375 1439056125 1469593125 1477430955 1490146875 1497809313 1516246875 1518757695 1529884125 1537160625 1558659375 1566972225 1578451875 1600223625 1608758151 1622604375 1630321875 1651024375 1674115625 1704728025 1736791875 1758846375 1773646875 1783106325 1808044875 1821290625 1846411875 1856259405 1865443125 1891173375 1905028125 1915188275 1983183125 1992615625 2014678575 2029438125 2057430375 2068403337 2086205625 2096128125 2122745625 2141837775 2152024875 2152434375 2182123125 2193761115 2209832625 2251396875 2311434125 2341659375 2343761875 2386619235 2398426875 2431508625 2449321875 2462384925 2483105625 2496348855 2517834375 2531262825 2549806875 2561934375 2611620375 2630753125 2667039375 2681263585 2704340625 2729244375 2767415625 2820550005 2841213375 2880402525 2894653125 2920687875 2931410625 2934579375 2971843875 3013408125 3077353125 3093765675 3109071875 3151955625 3165923475 3278323125 3293915625 3341266929 3357797625 3382396875 3404112075 3429050625 3447338895 3477009375 3537909375 3569729625 3586708125 3636871875 3656268525 3683054375 3820942125 3874381875 3948770007 3956596875 3977698725 3997378125 4052514375 4103974875 4138509375 4160581425 4218771375 4249678125 4352700625 4432292865 4445065625 4548740625 4589652375 4611481875 4675978125 4700916675 4735355625 4800670875 4826274453 4867813125 4885684375 4890965625 4953073125 5022346875 5156276125 5253259375 5276539125 5349318975 5424134625 5463871875 5539235625 5568778215 5596329375 5673520125 5715084375 5745564825 5949549375 5977846875 6088314375 6093780875 6205210011 6368236875 6425513325 6456074625 6457303125 6546369375 6581283345 6629497875 6754190625 6839958125 6934302375 7031285625 7195280625 7347965625 7387154775 7489046565 7593788475 7649420625 7685803125 7834861125 7892259375 8001118125 8043790755 8113021875 8255121875 8523640125 8683959375 8794231875 8915531625 9040224375 9232059375 9281297025 9327215625 9455866875 9575941375 9915915625 10073392875 10147190625 10287151875 10342016685 10431028125 10613728125 10709188875 10760124375 10910615625 10968805575 11049163125 11557170625 11718809375 11933096175 11992134375 12157543125 12311924625 12415528125 12481744275 12656314125 12749034375 13058101875 13335196875 13406317925 13646221875 14102750025 14206066875 14402012625 14478823359 14603439375 14657053125 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62408721375 63281570625 65290509375 67031589625 70513750125 71030334375 72010063125 72394116795 73017196875 74296096875 77344141875 79148086875 83531673225 83944940625 85102801875 86183472375 89243240625 91406713125 95523553125 98719250175 99442468125 102599371875 104014535625 105469284375 110807321625 114741309375 117522916875 120016771875 120656861325 128906903125 131913478125 133732974375 135603365625 139219455375 141838003125 143639120625 152344521875 155130250275 160637833125 161401865625 164532083625 165737446875 173357559375 184678869375 187226164125 189844711875 195871528125 201094768875 213091003125 217182350385 222888290625 232032425625 239398534375 251834821875 258550417125 267729721875 274220139375 298327404375 307798115625 312043606875 316407853125 335157948125 352568750625 360050315625 361970583975 386720709375 395740434375 417658366125 425514009375 430917361875 457033565625 493596250875 497212340625 520072678125 554036608125 587614584375 603284306625 668664871875 696097276875 718195603125 775651251375 803189165625 822660418125 923394346875 936130820625 949223559375 1005473844375 1085911751925 1160162128125 1292752085625 1371100696875 1491637021875 1560218034375 1675789740625 1762843753125 1809852919875 2088291830625 2154586809375 2467981254375 2770183040625 3016421533125 3480486384375 3878256256875 4113302090625 4680654103125 5027369221875 5429558759625 6463760428125 9049264599375 10441459153125 12339906271875 15082107665625 19391281284375 27147793798125 45246322996875 135738968990625
- Sum of all divisors σ(n): 361599724886400
- Sum of proper divisors (its aliquot sum) s(n): 225860755895775
- 135738968990625 is an abundant number, because the sum of its proper divisors (225860755895775) is greater than itself. Its abundance is 90121786905150
Bases of 135738968990625
- Binary: 111101101110100001100010000011101100011101000012
- Hexadecimal: 0x7B74310763A1
- Base-36: 1C45MDGL29
Squares and roots of 135738968990625
- 135738968990625 squared (1357389689906252) is 18425067702637855331337890625
- 135738968990625 cubed (1357389689906253) is 2500999693538526053334728770340972900390625
-
The
square root of 135738968990625 is 11650706.8021912301 -
The
cube root of 135738968990625 is 51392.7095534109
Scales and comparisons
How big is 135738968990625?- 135,738,968,990,625 seconds is equal to 4,316,079 years, 17 weeks, 6 days, 20 hours, 3 minutes, 45 seconds.
-
To count from 1 to 135,738,968,990,625 would take you about ten million, seven hundred ninety thousand, one hundred ninety-eight years!
This is a very rough estimate, based on a speaking rate of half a second every third order of magnitude. If you speak quickly, you could probably say any randomly-chosen number between one and a thousand in around half a second. Very big numbers obviously take longer to say, so we add half a second for every extra x1000. (We do not count involuntary pauses, bathroom breaks or the necessity of sleep in our calculation!)
- A cube with a volume of 135738968990625 cubic inches would be around 4282.7 feet tall.
Recreational maths with 135738968990625
- 135738968990625 backwards is 526099869837531
- 135738968990625 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 135738968990625's digits is 81
- More coming soon!
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"Number 135738968990625 - Facts about the integer". Numbermatics.com. 2024. Web. 2 June 2024.
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Numbermatics. (2024). Number 135738968990625 - Facts about the integer. Retrieved 2 June 2024, from https://numbermatics.com/n/135738968990625/
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Numbermatics. 2024. "Number 135738968990625 - Facts about the integer". https://numbermatics.com/n/135738968990625/
The information we have on file for 135738968990625 includes mathematical data and numerical statistics calculated using standard algorithms and methods. We are adding more all the time. If there are any features you would like to see, please contact us. Information provided for educational use, intellectual curiosity and fun!
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