138993091453125
138,993,091,453,125 is an odd composite number composed of six prime numbers multiplied together.
What does the number 138993091453125 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 1512 divisors.
138993091453125 is an odd composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one thousand, five hundred twelve divisors.
Prime factorization of 138993091453125:
32 × 56 × 73 × 132 × 172 × 59
(3 × 3 × 5 × 5 × 5 × 5 × 5 × 5 × 7 × 7 × 7 × 13 × 13 × 17 × 17 × 59)See below for interesting mathematical facts about the number 138993091453125 from the Numbermatics database.
Names of 138993091453125
- Cardinal: 138993091453125 can be written as One hundred thirty-eight trillion, nine hundred ninety-three billion, ninety-one million, four hundred fifty-three thousand, one hundred twenty-five.
Scientific notation
- Scientific notation: 1.38993091453125 × 1014
Factors of 138993091453125
Divisors of 138993091453125
- Number of divisors d(n): 1512
-
Complete list of divisors:
1 3 5 7 9 13 15 17 21 25 35 39 45 49 51 59 63 65 75 85 91 105 117 119 125 147 153 169 175 177 195 221 225 245 255 273 289 295 315 325 343 357 375 413 425 441 455 507 525 531 585 595 625 637 663 735 765 767 819 833 845 867 875 885 975 1003 1029 1071 1105 1125 1183 1225 1239 1275 1365 1445 1475 1521 1547 1575 1625 1715 1785 1875 1911 1989 2023 2065 2125 2205 2275 2301 2499 2535 2601 2625 2655 2873 2891 2925 2975 3009 3087 3125 3185 3315 3549 3675 3717 3757 3825 3835 4095 4165 4225 4335 4375 4425 4459 4641 4875 5015 5145 5355 5369 5525 5625 5733 5831 5915 6069 6125 6195 6375 6825 6903 7021 7225 7375 7497 7605 7735 7875 8125 8281 8575 8619 8673 8925 9027 9375 9555 9945 9971 10115 10325 10625 10647 10829 11025 11271 11375 11505 12495 12675 13005 13039 13125 13275 13377 13923 14161 14365 14455 14625 14875 15045 15435 15625 15925 16107 16575 17051 17493 17745 18207 18375 18585 18785 19125 19175 20111 20237 20475 20825 21063 21125 21675 21875 22125 22295 23205 24375 24843 25075 25725 25857 26019 26299 26775 26845 27625 28125 28665 29155 29575 29913 30345 30625 30975 31875 32487 33813 34125 34515 35105 36125 36875 37485 37583 38025 38675 39117 39375 40131 40625 41405 42483 42875 43095 43365 44625 45135 46875 47775 48321 48841 49147 49725 49855 50575 51153 51625 52479 53125 53235 54145 55125 56355 56875 57525 57967 60333 60711 62475 63189 63375 65025 65195 65625 66375 66885 69615 69797 70805 71825 72275 73125 74375 74529 75225 75803 77175 78897 79625 80535 82875 85255 87465 88725 89739 91035 91273 91875 92925 93925 95625 95875 97461 99127 100555 101185 102375 104125 105315 105625 108375 109375 110625 111475 112749 116025 117351 119357 121875 124215 125375 127449 128625 129285 130095 131495 133875 134225 138125 140625 140777 143325 145775 146523 147441 147875 149565 151725 153125 153459 154875 159375 162435 169065 169507 170625 172575 173901 175525 180625 180999 182133 184093 184375 187425 187915 190125 193375 195585 196875 200655 203125 207025 209391 212415 214375 215475 216825 221663 223125 225675 227409 236691 238875 241605 244205 245735 248625 249275 252875 255765 258125 262395 263081 265625 266175 270725 273819 275625 281775 284375 287625 289835 297381 301665 303555 312375 315945 316875 325125 325975 328125 331875 334425 338247 341887 344029 348075 348985 354025 358071 359125 361375 365625 371875 372645 376125 379015 385875 394485 398125 402675 414375 422331 426275 437325 439569 442323 443625 448695 455175 456365 459375 464625 469625 478125 479375 487305 488579 495635 502775 505925 508521 511875 520625 521703 526575 528125 541875 552279 553125 557375 563745 580125 586755 596785 609375 621075 626875 628173 637245 638911 643125 646425 650475 657475 664989 669375 671125 682227 690625 703885 716625 728875 732615 737205 739375 747825 758625 765625 767295 774375 789243 796875 812175 821457 835499 845325 847535 853125 862875 869505 877625 892143 903125 904995 910665 920465 921875 937125 939575 950625 966875 977925 984375 985439 1003275 1025661 1032087 1035125 1046955 1062075 1071875 1074213 1077375 1084125 1108315 1115625 1128375 1137045 1183455 1186549 1194375 1208025 1221025 1228675 1243125 1246375 1264375 1266993 1278825 1288651 1290625 1311975 1315405 1330875 1353625 1369095 1378125 1408875 1421875 1438125 1449175 1465737 1486905 1508325 1517775 1525563 1551641 1561875 1579725 1584375 1625625 1629875 1656837 1659375 1672125 1691235 1709435 1720145 1740375 1744925 1770125 1790355 1795625 1806875 1828125 1859375 1863225 1880625 1895075 1916733 1929375 1972425 1990625 1994967 2013375 2071875 2111655 2131375 2186625 2197845 2211615 2218125 2243475 2275875 2281825 2296875 2323125 2348125 2367729 2390625 2393209 2396875 2436525 2442895 2478175 2506497 2513875 2529625 2542605 2559375 2603125 2608515 2632875 2640625 2709375 2761395 2765625 2786875 2818725 2881619 2900625 2933775 2956317 2983925 3076983 3096261 3105375 3134375 3140865 3186225 3194555 3215625 3232125 3252375 3287375 3324945 3346875 3355625 3411135 3420053 3453125 3519425 3559647 3583125 3644375 3663075 3686025 3696875 3739125 3793125 3836475 3865953 3871875 3946215 4060875 4107285 4177495 4226625 4237675 4265625 4314375 4347525 4388125 4397211 4460715 4472377 4515625 4524975 4553325 4602325 4654923 4685625 4697875 4753125 4834375 4889625 4927195 5016375 5128305 5160435 5175625 5234775 5310375 5359375 5371065 5386875 5420625 5541575 5578125 5641875 5685225 5750199 5848493 5917275 5932745 5971875 6040125 6105125 6143375 6215625 6231875 6321875 6334965 6394125 6443255 6453125 6559875 6577025 6654375 6768125 6845475 6890625 7044375 7179627 7190625 7245875 7328685 7434525 7519491 7541625 7588875 7627815 7758205 7809375 7898625 7921875 8128125 8149375 8284185 8296875 8305843 8360625 8456175 8547175 8600725 8644857 8701875 8724625 8850625 8868951 8951775 8978125 9034375 9316125 9403125 9475375 9583665 9646875 9862125 9953125 9974835 10066875 10260159 10359375 10558275 10656875 10678941 10861487 10933125 10989225 11058075 11090625 11217375 11379375 11409125 11597859 11615625 11740625 11838645 11966045 11984375 12182625 12214475 12390875 12532485 12569375 12648125 12713025 12796875 13015625 13042575 13164375 13417131 13546875 13806975 13934375 13964769 14093625 14408095 14503125 14668875 14781585 14919625 15384915 15481305 15526875 15671875 15704325 15931125 15972775 16078125 16160625 16261875 16436875 16624725 16734375 16752463 16778125 17055675 17100265 17545479 17597125 17798235 17915625 18221875 18315375 18430125 18484375 18695625 18965625 19182375 19329765 19359375 19731075 20171333 20304375 20536425 20887475 21133125 21188375 21538881 21571875 21737625 21940625 21986055 22303575 22361885 22624875 22766625 23011625 23274615 23428125 23489375 23765625 24171875 24448125 24635975 24917529 25081875 25641525 25802175 25878125 25934571 26173875 26551875 26855325 26934375 27103125 27707875 28209375 28426125 28750995 29242465 29586375 29663725 29859375 30200625 30525625 30716875 30780477 31078125 31159375 31609375 31674825 31970625 32216275 32584461 32799375 32885125 33271875 33840625 34227375 35221875 35898135 35953125 36229375 36643425 37172625 37597455 37708125 37944375 38139075 38791025 39046875 39493125 40251393 40640625 40746875 41420925 41529215 41803125 42280875 42735875 43003625 43224285 43509375 43623125 44253125 44344755 44758875 44890625 45171875 46580625 47015625 47376875 47918325 48234375 49310625 49874175 50257389 50334375 51300795 52636437 52791375 53284375 53394705 54307435 54665625 54946125 55290375 55453125 56086875 56896875 57045625 57989295 58078125 58140901 58703125 59193225 59830225 60513999 60913125 61072375 61954375 62662425 62846875 63240625 63565125 65212875 65821875 67085655 69034875 69671875 69823845 70468125 72040475 72515625 73344375 73907925 74598125 74752587 76030409 76924575 77406525 77634375 78521625 79655625 79863875 80803125 81309375 82184375 83123625 83762315 83890625 85278375 85501325 87727395 87985625 88991175 89578125 91109375 91576875 92150625 93478125 94828125 95911875 96648825 97753383 98655375 100856665 101521875 102682125 104437375 105665625 105941875 107694405 107859375 108688125 109703125 109930275 111517875 111809425 113124375 113833125 115058125 116373075 117140625 117446875 122240625 123179875 124587645 125409375 128207625 129010875 129390625 129672855 130869375 132759375 134276625 134671875 135515625 138539375 141046875 141199331 142130625 143754975 146212325 147931875 148318625 150772167 151003125 152628125 153584375 153902385 155796875 158374125 159853125 161081375 162922305 163996875 164425625 166359375 169203125 171136875 174422703 176109375 179490675 181146875 181541997 183217125 185863125 187987275 188540625 189721875 190695375 193955125 197465625 201256965 203734375 207104625 207646075 209015625 211404375 213679375 215018125 216121425 217546875 218115625 221265625 221723775 223794375 228091227 232903125 236884375 239591625 246553125 249370875 251286945 251671875 256503975 263182185 263956875 266421875 266973525 271537175 273328125 274730625 276451875 280434375 284484375 285228125 289946475 290704505 295966125 299151125 302569995 304565625 305361875 309771875 313312125 314234375 316203125 317825625 326064375 329109375 335428275 345174375 349119225 352340625 360202375 366721875 369539625 372990625 373762935 380152045 384622875 387032625 388171875 392608125 398278125 399319375 404015625 406546875 410921875 415618125 418811575 423597993 426391875 427506625 438636975 439928125 444955875 457884375 460753125 467390625 479559375 483244125 488766915 493276875 504283325 507609375 513410625 522186875 523268109 528328125 529709375 538472025 543440625 549651375 557589375 559047125 565621875 569165625 575290625 581865375 587234375 611203125 615899375 622938225 627046875 641038125 645054375 648364275 654346875 663796875 671383125 684273681 692696875 705996655 710653125 718774875 731061625 739659375 741593125 753860835 755015625 763140625 767921875 769511925 791870625 799265625 805406875 814611525 819984375 822128125 855684375 872113515 897453375 905734375 907709985 916085625 929315625 939936375 942703125 948609375 953476875 969775625 987328125 988395317 1006284825 1035523125 1038230375 1057021875 1068396875 1075090625 1080607125 1090578125 1108618875 1118971875 1140456135 1164515625 1184421875 1197958125 1232765625 1246854375 1256434725 1270793979 1282519875 1315910925 1319784375 1334867625 1357685875 1373653125 1382259375 1402171875 1426140625 1449732375 1453522525 1479830625 1495755625 1512849975 1522828125 1526809375 1548859375 1566560625 1589128125 1630321875 1677141375 1725871875 1745596125 1761703125 1801011875 1833609375 1847698125 1864953125 1868814675 1900760225 1923114375 1935163125 1963040625 1991390625 1996596875 2078090625 2094057875 2117989965 2131959375 2137533125 2193184875 2199640625 2224779375 2289421875 2303765625 2397796875 2416220625 2443834575 2466384375 2521416625 2567053125 2610934375 2616340545 2648546875 2692360125 2717203125 2748256875 2787946875 2795235625 2828109375 2845828125 2876453125 2909326875 2965185951 3079496875 3114691125 3205190625 3225271875 3241821375 3271734375 3356915625 3421368405 3463484375 3529983275 3553265625 3593874375 3655308125 3698296875 3707965625 3769304175 3847559625 3959353125 4027034375 4073057625 4110640625 4278421875 4360567575 4487266875 4538549925 4580428125 4646578125 4699681875 4767384375 4848878125 4941976585 5031424125 5177615625 5191151875 5285109375 5341984375 5375453125 5403035625 5543094375 5594859375 5702280675 5989790625 6234271875 6282173625 6353969895 6412599375 6579554625 6598921875 6674338125 6788429375 6868265625 6911296875 7248661875 7267612625 7399153125 7478778125 7564249875 7634046875 7832803125 7945640625 8151609375 8385706875 8629359375 8727980625 8895557853 9005059375 9238490625 9344073375 9503801125 9615571875 9675815625 9815203125 9982984375 10390453125 10470289375 10589949825 10659796875 10687665625 10965924375 11123896875 12081103125 12219172875 12331921875 12607083125 12835265625 13054671875 13081702725 13461800625 13741284375 13939734375 13976178125 14546634375 14825929755 15397484375 15573455625 16025953125 16126359375 16209106875 16784578125 17106842025 17649916375 17969371875 18276540625 18539828125 18846520875 19237798125 19796765625 20135171875 20365288125 21802837875 22436334375 22692749625 22902140625 23498409375 23836921875 24244390625 24709882925 25157120625 25888078125 25955759375 27015178125 27715471875 28511403375 29948953125 31171359375 31410868125 31769849475 32062996875 32897773125 33371690625 33942146875 36243309375 36338063125 36995765625 37393890625 37821249375 39164015625 41928534375 43639903125 44477789265 45025296875 46192453125 46720366875 47519005625 48077859375 48379078125 52351446875 52949749125 53438328125 54829621875 55619484375 60405515625 61095864375 63035415625 65408513625 67309003125 68706421875 69880890625 72733171875 74129648775 77867278125 81045534375 85534210125 88249581875 89846859375 91382703125 94232604375 96188990625 101826440625 109014189375 112181671875 113463748125 117492046875 123549414625 125785603125 129778796875 135075890625 138577359375 142557016875 157054340625 158849247375 160314984375 164488865625 166858453125 169710734375 181216546875 181690315625 189106246875 209642671875 218199515625 222388946325 233601834375 237595028125 261757234375 264748745625 274148109375 305479321875 315177078125 327042568125 336545015625 370648243875 389336390625 405227671875 427671050625 441247909375 471163021875 480944953125 509132203125 545070946875 567318740625 617747073125 628928015625 712785084375 785271703125 794246236875 822444328125 908451578125 945531234375 1111944731625 1168009171875 1187975140625 1323743728125 1527396609375 1635212840625 1853241219375 2138355253125 2206239546875 2355815109375 2725354734375 2836593703125 3088735365625 3563925421875 3971231184375 5559723658125 6618718640625 8176064203125 9266206096875 10691776265625 15443676828125 19856155921875 27798618290625 46331030484375 138993091453125
- Sum of all divisors σ(n): 342348586632000
- Sum of proper divisors (its aliquot sum) s(n): 203355495178875
- 138993091453125 is an abundant number, because the sum of its proper divisors (203355495178875) is greater than itself. Its abundance is 64362403725750
Bases of 138993091453125
- Binary: 111111001101001110110011101011110100000110001012
- Hexadecimal: 0x7E69D9D7A0C5
- Base-36: 1D9OJLYEV9
Squares and roots of 138993091453125
- 138993091453125 squared (1389930914531252) is 19319079471696769924072265625
- 138993091453125 cubed (1389930914531253) is 2685218579799738952075238378437042236328125
-
The
square root of 138993091453125 is 11789533.1312620263 -
The
cube root of 138993091453125 is 51800.1564587739
Scales and comparisons
How big is 138993091453125?- 138,993,091,453,125 seconds is equal to 4,419,550 years, 19 weeks, 3 days, 6 hours, 18 minutes, 45 seconds.
-
To count from 1 to 138,993,091,453,125 would take you about eleven million, forty-eight thousand, eight hundred seventy-five 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 138993091453125 cubic inches would be around 4316.7 feet tall.
Recreational maths with 138993091453125
- 138993091453125 backwards is 521354190399831
- 138993091453125 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 138993091453125's digits is 63
- More coming soon!
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"Number 138993091453125 - Facts about the integer". Numbermatics.com. 2024. Web. 17 June 2024.
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Numbermatics. (2024). Number 138993091453125 - Facts about the integer. Retrieved 17 June 2024, from https://numbermatics.com/n/138993091453125/
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The information we have on file for 138993091453125 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!
Keywords: Divisors of 138993091453125, math, Factors of 138993091453125, curriculum, school, college, exams, university, Prime factorization of 138993091453125, STEM, science, technology, engineering, physics, economics, calculator, one hundred thirty-eight trillion, nine hundred ninety-three billion, ninety-one million, four hundred fifty-three thousand, one hundred twenty-five.