135387997606400
135,387,997,606,400 is an even composite number composed of eight prime numbers multiplied together.
135387997606400 is an even composite number. It is composed of eight distinct prime numbers multiplied together. It has a total of one thousand, nine hundred twenty divisors.
Prime factorization of 135387997606400:
29 × 52 × 7 × 11 × 17 × 29 × 79 × 3527
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 7 × 11 × 17 × 29 × 79 × 3527)See below for interesting mathematical facts about the number 135387997606400 from the Numbermatics database.
Names of 135387997606400
- Cardinal: 135387997606400 can be written as One hundred thirty-five trillion, three hundred eighty-seven billion, nine hundred ninety-seven million, six hundred six thousand, four hundred.
Scientific notation
- Scientific notation: 1.353879976064 × 1014
Factors of 135387997606400
Divisors of 135387997606400
- Number of divisors d(n): 1920
-
Complete list of divisors:
1 2 4 5 7 8 10 11 14 16 17 20 22 25 28 29 32 34 35 40 44 50 55 56 58 64 68 70 77 79 80 85 88 100 110 112 116 119 128 136 140 145 154 158 160 170 175 176 187 200 203 220 224 232 238 256 272 275 280 290 308 316 319 320 340 350 352 374 385 395 400 406 425 440 448 464 476 493 512 544 550 553 560 580 595 616 632 638 640 680 700 704 725 748 770 790 800 812 850 869 880 896 928 935 952 986 1015 1088 1100 1106 1120 1160 1190 1232 1264 1276 1280 1309 1343 1360 1400 1408 1450 1496 1540 1580 1595 1600 1624 1700 1738 1760 1792 1856 1870 1904 1925 1972 1975 2030 2176 2200 2212 2233 2240 2291 2320 2380 2464 2465 2528 2552 2560 2618 2686 2720 2765 2800 2816 2900 2975 2992 3080 3160 3190 3200 3248 3400 3451 3476 3520 3527 3584 3712 3740 3808 3850 3944 3950 4060 4345 4352 4400 4424 4466 4480 4582 4640 4675 4760 4928 4930 5056 5075 5104 5236 5372 5423 5440 5530 5600 5632 5800 5950 5984 6083 6160 6320 6380 6400 6496 6545 6715 6800 6902 6952 7040 7054 7424 7480 7616 7700 7888 7900 7975 8120 8690 8704 8800 8848 8932 8960 9164 9280 9350 9401 9520 9856 9860 10112 10150 10208 10472 10744 10846 10880 11060 11165 11200 11455 11600 11900 11968 12166 12320 12325 12640 12760 12800 12992 13090 13430 13600 13804 13825 13904 14080 14108 14773 14848 14960 15232 15400 15776 15800 15950 16037 16240 17255 17380 17600 17635 17696 17864 17920 18328 18560 18700 18802 19040 19712 19720 20224 20300 20416 20944 21488 21692 21725 21760 22120 22330 22400 22910 23200 23800 23936 24332 24640 24650 24689 25201 25280 25520 25984 26180 26860 27115 27200 27608 27650 27808 28160 28216 29546 29920 30415 30464 30800 31552 31600 31900 32074 32480 32725 33575 34510 34760 35200 35270 35392 35728 36656 37120 37400 37604 37961 38080 38797 38947 39424 39440 40448 40600 40832 41888 42976 43384 43450 43520 44240 44660 44800 45820 46400 47005 47600 47872 48664 49280 49300 49378 50402 50560 51040 51968 52360 53720 54230 54400 55216 55300 55616 55825 56432 57275 59092 59840 59959 60830 60928 61600 63104 63200 63800 64148 64960 65450 67150 69020 69520 70400 70540 70784 71456 73312 73865 74240 74800 75208 75922 76160 77594 77894 78880 80185 81200 81664 83776 85952 86275 86768 86900 88175 88480 89320 89600 91640 92800 94010 95200 95744 97328 98560 98600 98756 100804 101120 102080 102283 103411 103936 104720 107440 108460 108800 110432 110600 111232 111650 112864 114550 118184 119680 119918 121660 123200 123445 126005 126208 126400 127600 128296 129920 130900 134300 135575 138040 139040 140800 141080 141568 142912 146624 147730 149600 150416 151844 152075 152320 155188 155788 157760 160370 162400 163328 167552 171904 172550 173536 173800 176350 176407 176960 178640 183280 185600 188020 189805 190400 193985 194656 194735 197120 197200 197512 201608 202240 204160 204566 206822 209440 214880 216920 217600 220864 221200 222464 223300 225728 229100 235025 236368 239360 239836 243320 246400 246890 252010 252416 252800 255200 256592 259840 261800 268600 271150 271579 272629 276080 278080 278633 282160 283136 285824 293248 295460 299200 299795 300832 303688 304150 304640 310376 311576 315520 320740 324800 335104 343808 345100 347072 347600 352700 352814 353920 357280 366560 369325 371200 376040 379610 380800 387970 389312 389470 394400 395024 400925 403216 408320 409132 413644 418880 419713 428417 429760 433840 441728 442400 444928 446600 451456 458200 470050 472736 478720 479672 486640 492800 493780 504020 505600 510400 511415 513184 517055 519680 523600 537200 542300 543158 545258 552160 556160 557266 564320 571648 586496 590920 598400 599590 601664 607376 608300 617225 620752 623152 630025 631040 641480 649600 659549 670208 687616 690200 694144 695200 705400 705628 707840 714560 715981 733120 738650 752080 759220 761600 775940 778624 778940 788800 790048 801850 806432 816640 818264 827288 837760 839426 856834 859520 867680 882035 883456 884800 893200 902912 916400 940100 945472 949025 959344 969925 973280 973675 985600 987560 1008040 1011200 1020800 1022830 1026368 1034110 1047200 1074400 1084600 1086316 1090516 1104320 1112320 1114532 1125113 1128640 1143296 1172992 1181840 1196800 1199180 1203328 1214752 1216600 1234450 1241504 1246304 1260050 1262080 1282960 1299200 1319098 1357895 1363145 1380400 1388288 1390400 1393165 1410800 1411256 1415680 1429120 1431962 1466240 1477300 1498975 1504160 1518440 1523200 1551880 1557248 1557880 1577600 1580096 1603700 1612864 1636528 1654576 1675520 1678852 1713668 1719040 1735360 1738811 1764070 1766912 1769600 1786400 1805824 1832800 1880200 1890944 1898050 1918688 1939850 1946560 1947350 1950431 1975120 2016080 2041600 2045660 2052736 2068220 2094400 2098565 2142085 2148800 2169200 2172632 2181032 2208640 2224640 2229064 2250226 2257280 2363680 2393600 2398360 2406656 2429504 2433200 2468900 2483008 2492608 2520100 2557075 2565920 2585275 2598400 2638196 2715790 2726290 2760800 2776576 2780800 2786330 2821600 2822512 2858240 2863924 2932480 2954600 2997950 2998919 3008320 3036880 3064963 3103760 3114496 3115760 3155200 3160192 3207400 3225728 3273056 3297745 3309152 3351040 3357704 3427336 3438080 3470720 3477622 3528140 3539200 3572800 3579905 3665600 3760400 3781888 3796100 3837376 3879700 3893120 3894700 3900862 3950240 4032160 4083200 4091320 4105472 4136440 4188800 4197130 4284170 4297600 4338400 4345264 4362064 4410175 4417280 4458128 4500452 4514560 4616843 4727360 4736761 4796720 4813312 4859008 4866400 4937800 4966016 4985216 5040200 5114150 5131840 5170550 5276392 5431580 5452580 5521600 5561600 5572660 5625565 5643200 5645024 5716480 5727848 5864960 5909200 5995900 5997838 6016640 6073760 6129926 6207520 6231520 6310400 6320384 6414800 6451456 6546112 6595490 6618304 6715408 6789475 6815725 6854672 6941440 6955244 6965825 7056280 7078400 7145600 7159810 7331200 7520800 7563776 7592200 7674752 7759400 7786240 7789400 7801724 7875791 7900480 8064320 8080357 8182640 8210944 8272880 8377600 8394260 8568340 8595200 8676800 8690528 8694055 8724128 8820350 8834560 8916256 9000904 9029120 9233686 9454720 9473522 9593440 9718016 9732800 9752155 9875600 9932032 9970432 10080400 10228300 10263680 10341100 10492825 10552784 10710425 10863160 10905160 11043200 11123200 11145320 11251130 11286400 11290048 11455696 11818400 11991800 11995676 12033280 12147520 12171677 12259852 12415040 12463040 12640768 12829600 12902912 13092224 13190980 13236608 13430816 13578950 13631450 13709344 13882880 13910488 13931650 14112560 14291200 14319620 14662400 14994595 15041600 15184400 15324815 15349504 15518800 15572480 15578800 15603448 15751582 15800960 16128640 16160714 16365280 16488725 16545760 16755200 16788520 17136680 17190400 17353600 17381056 17388110 17448256 17640700 17832512 17899525 18001808 18467372 18909440 18947044 19126921 19186880 19436032 19465600 19504310 19751200 19864064 19940864 20160800 20456600 20527360 20682200 20985650 21105568 21420850 21454741 21726320 21810320 22086400 22290640 22502260 22572800 22580096 22911392 23084215 23636800 23683805 23983600 23991352 24066560 24295040 24343354 24519704 24830080 24926080 25659200 26184448 26381960 26473216 26861632 27157900 27262900 27418688 27820976 27863300 28127825 28225120 28582400 28639240 29324800 29989190 30083200 30368800 30649630 30699008 31037600 31157600 31206896 31503164 31601920 32257280 32321428 32730560 32977450 33091520 33157327 33577040 34273360 34707200 34762112 34776220 34896512 35281400 35665024 35799050 36003616 36934744 37818880 37894088 38253842 38373760 38931200 39008620 39378955 39502400 40321600 40401785 40913200 41054720 41364400 41971300 42211136 42841700 42909482 43452640 43470275 43620640 44172800 44581280 45004520 45145600 45160192 45822784 46168430 47273600 47367610 47967200 47982704 48590080 48686708 48760775 49039408 49660160 49852160 51318400 52104371 52368896 52763920 52946432 53723264 54315800 54525800 54837376 55641952 55726600 56255650 56450240 56562499 57278480 59978380 60166400 60737600 60858385 61299260 62075200 62315200 62413792 63006328 63203840 64514560 64642856 65461120 65954900 66183040 66314654 67154080 68546720 69414400 69524224 69552440 69793024 70562800 71330048 71598100 72007232 73869488 74972975 75788176 76507684 76624075 76747520 77862400 78017240 78757910 79004800 80643200 80803570 81826400 82728800 83942600 84422272 85683400 85818964 86905280 86940550 87241280 88883927 89162560 90009040 90320384 91645568 92336860 94547200 94735220 95634605 95934400 95965408 97180160 97373416 97521550 98078816 99320320 99704320 102636800 104208742 105527840 107273705 107446528 108631600 109051600 109674752 111283904 111453200 112511300 112900480 113124998 114556960 115421075 118419025 119956760 120332800 121475200 121716770 122598520 124150400 124630400 124827584 126012656 129285712 130922240 131909800 132366080 132629308 133888447 134308160 137093440 137366069 139048448 139104880 139586048 141125600 142660096 143196200 144014464 147738976 149945950 151576352 153015368 153248150 153495040 156034480 157515820 158009600 161286400 161607140 163652800 165457600 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429094820 434526400 436206400 444419635 445135616 445812800 450045200 451601920 452499992 458227840 461684300 473676100 478173025 479827040 485900800 486867080 490394080 496601600 498521600 499310336 504050624 517142848 521043710 527639200 530517232 535553788 536368525 537232640 548373760 549464276 556419520 564502400 565624990 572784800 576057856 590955904 599783800 606305408 608583850 612061472 612992600 622187489 624137920 630063280 646428560 654611200 661830400 663146540 669442235 671540800 685467200 686551712 686830345 695242240 695524400 697930240 711071416 713300480 720072320 729461194 738694880 757881760 765076840 767475200 767723264 778987328 780172400 784630528 787579100 808035700 828933175 833669936 844222720 858189640 869052800 872412800 888839270 890271232 891625600 900090400 904999984 916455680 923368600 947352200 956346050 959654080 961562483 973734160 980788160 998620672 1008101248 1034285696 1042087420 1055278400 1061034464 1071107576 1072737050 1074465280 1096747520 1098928552 1112839040 1129004800 1131249980 1145569600 1181911808 1199567600 1212610816 1217167700 1224122944 1225985200 1244374978 1248275840 1260126560 1292857120 1302609275 1309222400 1323660800 1326293080 1338884470 1343081600 1370934400 1373103424 1373660690 1391048800 1414062475 1422142832 1440144640 1458922388 1477389760 1511026759 1515763520 1530153680 1535446528 1557974656 1560344800 1569261056 1575158200 1616071400 1657866350 1667339872 1688445440 1716379280 1738105600 1744825600 1777678540 1783251200 1800180800 1809999968 1823652985 1832911360 1846737200 1894704400 1912692100 1919308160 1923124966 1947468320 1961576320 2016202496 2068571392 2084174840 2110556800 2122068928 2142215152 2145474100 2197857104 2222098175 2225678080 2258009600 2262499960 2291139200 2363823616 2399135200 2425221632 2434335400 2448245888 2451970400 2488749956 2496551680 2520253120 2585714240 2605218550 2652586160 2677768940 2686163200 2741868800 2746206848 2747321380 2782097600 2828124950 2844285664 2880289280 2917844776 2954779520 3022053518 3031527040 3060307360 3110937445 3115949312 3120689600 3150316400 3232142800 3315732700 3334679744 3347211175 3432758560 3434151725 3476211200 3489651200 3555357080 3566502400 3600361600 3619999936 3647305970 3693474400 3789408800 3825384200 3838616320 3846249932 3894936640 3923152640 4032404992 4137142784 4168349680 4221113600 4244137856 4284430304 4290948200 4395714208 4444196350 4451356160 4524999920 4582278400 4798270400 4807812415 4868670800 4896491776 4903940800 4977499912 4993103360 5040506240 5171428480 5210437100 5305172320 5355537880 5372326400 5483737600 5492413696 5494642760 5564195200 5656249900 5688571328 5835689552 5909559040 6044107036 6063054080 6120614720 6221874890 6231898624 6241379200 6300632800 6464285600 6631465400 6669359488 6694422350 6865517120 6868303450 7110714160 7200723200 7239999872 7294611940 7386948800 7555133795 7578817600 7650768400 7677232640 7692499864 7789873280 7846305280 8336699360 8442227200 8488275712 8568860608 8581896400 8791428416 8888392700 9049999840 9118264925 9164556800 9596540800 9615624830 9737341600 9792983552 9807881600 9954999824 10081012480 10342856960 10420874200 10577187313 10610344640 10711075760 10984827392 10989285520 11128390400 11312499800 11377142656 11671379104 11819118080 12088214072 12126108160 12241229440 12443749780 12482758400 12601265600 12928571200 13262930800 13338718976 13388844700 13731034240 13736606900 14221428320 14401446400 14479999744 14589223880 14773897600 15110267590 15157635200 15301536800 15384999728 15554687225 15579746560 16673398720 16976551424 17137721216 17163792800 17582856832 17776785400 18099999680 18236529850 19193081600 19231249660 19474683200 19615763200 19909999648 20162024960 20685713920 20841748400 21154374626 21220689280 21422151520 21978571040 22256780800 22624999600 22754285312 23342758208 24039062075 24176428144 24482458880 24887499560 24965516800 25202531200 25857142400 26525861600 26677437952 26777689400 27462068480 27473213800 28442856640 28959999488 29178447760 29547795200 30220535180 30315270400 30603073600 30769999456 31109374450 31159493120 33346797440 34275442432 34327585600 35165713664 35553570800 36199999360 36473059700 37775668975 38386163200 38462499320 38949366400 39231526400 39819999296 41683496800 42308749252 42441378560 42844303040 43957142080 45249999200 45508570624 46685516416 48078124150 48352856288 48964917760 49774999120 50405062400 51714284800 52885936565 53051723200 53555378800 54924136960 54946427600 56885713280 58356895520 59095590400 60441070360 60630540800 61206147200 61539998912 62218748900 66693594880 68550884864 68655171200 70331427328 71107141600 72399998720 72946119400 75551337950 76924998640 77898732800 79639998592 83366993600 84617498504 84882757120 85688606080 87914284160 90499998400 93371032832 96156248300 96705712576 99549998240 100810124800 103428569600 105771873130 106103446400 107110757600 109892855200 113771426560 116713791040 120882140720 122412294400 123079997824 124437497800 133387189760 137310342400 142214283200 144799997440 145892238800 151102675900 153849997280 155797465600 159279997184 166733987200 169234997008 171377212160 175828568320 180999996800 186742065664 192312496600 193411425152 199099996480 211543746260 212206892800 214221515200 219785710400 227542853120 233427582080 241764281440 244824588800 246159995648 248874995600 264429682825 274620684800 284428566400 291784477600 302205351800 307699994560 318559994368 333467974400 338469994016 342754424320 351657136640 361999993600 384624993200 386822850304 398199992960 423087492520 424413785600 428443030400 439571420800 466855164160 483528562880 492319991296 497749991200 528859365650 568857132800 583568955200 604410703600 615399989120 666935948800 676939988032 723999987200 769249986400 773645700608 796399985920 846174985040 856886060800 879142841600 933710328320 967057125760 995499982400 1057718731300 1137714265600 1167137910400 1208821407200 1230799978240 1353879976064 1538499972800 1592799971840 1692349970080 1713772121600 1758285683200 1934114251520 1990999964800 2115437462600 2334275820800 2417642814400 2461599956480 2707759952128 3076999945600 3384699940160 3868228503040 3981999929600 4230874925200 4668551641600 4835285628800 5415519904256 6153999891200 6769399880320 7963999859200 8461749850400 9670571257600 12307999782400 13538799760640 16923499700800 19341142515200 27077599521280 33846999401600 67693998803200 135387997606400
- Sum of all divisors σ(n): 464003101900800
- Sum of proper divisors (its aliquot sum) s(n): 328615104294400
- 135387997606400 is an abundant number, because the sum of its proper divisors (328615104294400) is greater than itself. Its abundance is 193227106688000
Bases of 135387997606400
- Binary: 111101100100010011110011000000100010010000000002
- Hexadecimal: 0x7B2279811200
- Base-36: 1BZODY5RSW
Squares and roots of 135387997606400
- 135387997606400 squared (1353879976064002) is 18329909895870572129320960000
- 135387997606400 cubed (1353879976064003) is 2481649797107652692688704683737350144000000
-
The
square root of 135387997606400 is 11635634.8175078097 -
The
cube root of 135387997606400 is 51348.3770650279
Scales and comparisons
How big is 135387997606400?- 135,387,997,606,400 seconds is equal to 4,304,919 years, 28 weeks, 1 day, 53 minutes, 20 seconds.
-
To count from 1 to 135,387,997,606,400 would take you about ten million, seven hundred sixty-two thousand, two 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 135387997606400 cubic inches would be around 4279 feet tall.
Recreational maths with 135387997606400
- 135387997606400 backwards is 004606799783531
- 135387997606400 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 135387997606400's digits is 68
- More coming soon!
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"Number 135387997606400 - Facts about the integer". Numbermatics.com. 2024. Web. 12 May 2024.
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Numbermatics. (2024). Number 135387997606400 - Facts about the integer. Retrieved 12 May 2024, from https://numbermatics.com/n/135387997606400/
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The information we have on file for 135387997606400 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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