138144841429504

Names of 138144841429504

• Cardinal: 138144841429504 can be written as One hundred thirty-eight trillion, one hundred forty-four billion, eight hundred forty-one million, four hundred twenty-nine thousand, five hundred four.

Scientific notation

• Scientific notation: 1.38144841429504 × 10¹⁴

Factors of 138144841429504

• Number of distinct prime factors ω(n): 5
• Total number of prime factors Ω(n): 17
• Sum of prime factors: 3610

Divisors of 138144841429504

• Number of divisors d(n): 640
• Complete list of divisors:
  1 2 4 7 8 13 14 16 17 26 28 32 34 52 56 64 68 91 104 112 119 128 136 169 182 208 221 224 238 256 272 289 338 364 416 442 448 476 512 544 578 676 728 832 884 896 952 1088 1156 1183 1352 1456 1547 1664 1768 1792 1904 2023 2176 2197 2312 2366 2704 2873 2912 3094 3328 3536 3571 3584 3757 3808 4046 4352 4394 4624 4732 4913 5408 5746 5824 6188 6656 7072 7142 7514 7616 8092 8704 8788 9248 9464 9826 10816 11492 11648 12376 14144 14284 15028 15232 15379 16184 17576 18496 18928 19652 20111 21632 22984 23296 24752 24997 26299 28288 28568 30056 30464 30758 32368 34391 35152 36992 37349 37856 39304 40222 43264 45968 46423 46592 48841 49504 49994 52598 56576 57136 60112 60707 60928 61516 63869 64736 68782 70304 73984 74698 75712 78608 80444 86528 91936 92846 97682 99008 99988 105196 113152 114272 120224 121414 123032 127738 129472 137564 140608 147968 149396 151424 157216 160888 183872 185692 195364 198016 199976 210392 228544 240448 242828 246064 255476 258944 261443 275128 281216 298792 302848 314432 321776 324961 341887 367744 371384 390728 396032 399952 420784 424949 447083 457088 480896 485656 492128 510952 517888 522886 550256 562432 597584 603499 605696 628864 634933 643552 649922 683774 735488 742768 781456 789191 792064 799904 830297 841568 849898 894166 914176 961792 971312 984256 1021904 1032019 1035776 1045772 1100512 1124864 1195168 1206998 1257728 1269866 1287104 1299844 1367548 1470976 1485536 1562912 1578382 1599808 1660594 1683136 1699796 1788332 1828352 1923584 1942624 1968512 2043808 2064038 2091544 2201024 2390336 2413996 2515456 2539732 2574208 2599688 2735096 2971072 3125824 3156764 3199616 3321188 3366272 3399592 3576664 3885248 3937024 4087616 4128076 4183088 4224493 4402048 4444531 4780672 4827992 5079464 5148416 5199376 5470192 5524337 5812079 5942144 6251648 6313528 6399232 6642376 6732544 6799184 7153328 7224133 7770496 7845487 7874048 8175232 8256152 8366176 8448986 8804096 8889062 9561344 9655984 10158928 10259483 10296832 10398752 10793861 10940384 11048674 11624158 11884288 12503296 12627056 12798464 13284752 13416247 13465088 13598368 14306656 14448266 15540992 15690974 16350464 16512304 16732352 16897972 17544323 17608192 17778124 19122688 19311968 20317856 20518966 20797504 21587722 21880768 22097348 23248316 23768576 25006592 25254112 26569504 26832494 27196736 28613312 28896532 31081984 31381948 32700928 33024608 33464704 33795944 35088646 35556248 38623936 40635712 41037932 41595008 43175444 43761536 44194696 46496632 50508224 53139008 53664988 54393472 54918409 57226624 57793064 62763896 66049216 66929408 67591888 70177292 71112496 71816381 75557027 77247872 81271424 82075864 83190016 86350888 87523072 88389392 92993264 93913729 101016448 106278016 107329976 108786944 109836818 114453248 115586128 122810261 125527792 132098432 133373279 133858816 135183776 140354584 142224992 143632762 151114054 154495744 162542848 164151728 166380032 172701776 174411211 175046144 176778784 185986528 187827458 202032896 212556032 214659952 217573888 219673636 228076199 228906496 231172256 245620522 251055584 264196864 266746558 270367552 280709168 284449984 287265524 302228108 308991488 325085696 328303456 345403552 348822422 353557568 371973056 375654916 404065792 425112064 429319904 439347272 456152398 462344512 491241044 502111168 528393728 533493116 540735104 561418336 568899968 574531048 604456216 656606912 690807104 697644844 707115136 743946112 751309832 858639808 878694544 912304796 924689024 933612953 982482088 1004222336 1066986232 1081470208 1122836672 1137799936 1149062096 1208912432 1220878477 1313213824 1381614208 1395289688 1414230272 1487892224 1502619664 1596533393 1717279616 1757389088 1824609592 1849378048 1867225906 1964964176 2008444672 2133972464 2162940416 2245673344 2267345743 2275599872 2298124192 2417824864 2441756954 2626427648 2763228416 2790579376 2828460544 2964990587 2975784448 3005239328 3193066786 3434559232 3514778176 3649219184 3698756096 3734451812 3929928352 4016889344 4267944928 4491346688 4534691486 4596248384 4835649728 4883513908 5252855296 5526456832 5581158752 5929981174 6010478656 6386133572 6869118464 7029556352 7298438368 7468903624 7859856704 8535889856 8982693376 9069382972 9192496768 9671299456 9767027816 11162317504 11859962348 12020957312 12772267144 14059112704 14596876736 14937807248 15719713408 15871420201 17071779712 18138765944 18384993536 19342598912 19534055632 20754934109 22324635008 23719924696 24041914624 25544534288 28118225408 29193753472 29875614496 31439426816 31742840402 34143559424 36277531888 36769987072 38544877631 38685197824 39068111264 41509868218 44649270016 47439849392 48083829248 51089068576 58387506944 59751228992 62878853632 63485680804 68287118848 72555063776 77089755262 78136222528 83019736436 89298540032 94879698784 102178137152 116775013888 119502457984 126971361608 145110127552 154179510524 156272445056 166039472872 189759397568 204356274304 239004915968 253942723216 269814143417 290220255104 308359021048 312544890112 332078945744 379518795136 408712548608 478009831936 507885446432 539628286834 580440510208 616718042096 625089780224 664157891488 759037590272 817425097216 1015770892864 1079256573668 1160881020416 1233436084192 1328315782976 1518075180544 2031541785728 2158513147336 2466872168384 2656631565952 4063083571456 4317026294672 4933744336768 5313263131904 8126167142912 8634052589344 9867488673536 10626526263808 17268105178688 19734977347072 34536210357376 69072420714752 138144841429504
• Sum of all divisors σ(n): 363182179852800
• Sum of proper divisors (its aliquot sum) s(n): 225037338423296
• 138144841429504 is an abundant number, because the sum of its proper divisors (225037338423296) is greater than itself. Its abundance is 86892496993792

Bases of 138144841429504

• Binary: 11111011010010001011010001100110111001000000000₂
• Hexadecimal: 0x7DA45A337200
• Base-36: 1CYUV3SJR4

Squares and roots of 138144841429504

• 138144841429504 squared (138144841429504²) is 19083997213582804762201686016
• 138144841429504 cubed (138144841429504³) is 2636355768911492743431063701196916406616064
• The square root of 138144841429504 is 11753503.3683367785
• The cube root of 138144841429504 is 51694.5656635389

Scales and comparisons

• 138,144,841,429,504 seconds is equal to 4,392,578 years, 33 weeks, 4 days, 15 hours, 45 minutes, 4 seconds.
• To count from 1 to 138,144,841,429,504 would take you about ten million, nine hundred eighty-one thousand, four hundred forty-six 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 138144841429504 cubic inches would be around 4307.9 feet tall.

Recreational maths with 138144841429504

• 138144841429504 backwards is 405924148441831
• The number of decimal digits it has is: 15
• The sum of 138144841429504's digits is 58
• More coming soon!