137931300364416

Names of 137931300364416

• Cardinal: 137931300364416 can be written as One hundred thirty-seven trillion, nine hundred thirty-one billion, three hundred million, three hundred sixty-four thousand, four hundred sixteen.

Scientific notation

• Scientific notation: 1.37931300364416 × 10¹⁴

Factors of 137931300364416

• Number of distinct prime factors ω(n): 6
• Total number of prime factors Ω(n): 14
• Sum of prime factors: 5939

Divisors of 137931300364416

• Number of divisors d(n): 512
• Complete list of divisors:
  1 2 3 4 6 8 12 13 16 24 26 29 32 39 48 52 58 64 78 87 96 104 116 128 156 174 192 199 208 232 312 348 377 384 398 416 464 597 624 696 754 796 832 841 928 1131 1194 1248 1392 1508 1592 1664 1682 1856 2262 2388 2496 2523 2587 2784 3016 3184 3364 3712 4524 4776 4992 5046 5174 5568 5693 5771 6032 6368 6728 7761 9048 9552 10092 10348 10933 11136 11386 11542 12064 12736 13456 15522 17079 17313 18096 19104 20184 20696 21866 22772 23084 24128 24389 25472 26912 31044 32799 34158 34626 36192 38208 40368 41392 43732 45544 46168 48256 48778 53824 62088 65598 68316 69252 72384 73167 74009 75023 76416 80736 82784 87464 91088 92336 97556 107648 124176 131196 136632 138504 144768 146334 148018 150046 161472 165097 165568 167359 174928 182176 184672 195112 222027 225069 248352 262392 273264 277008 292668 296036 300092 317057 322944 330194 331136 334718 349856 364352 369344 390224 444054 450138 495291 496704 502077 524784 546528 554016 585336 592072 600184 634114 660388 669436 699712 728704 738688 780448 888108 900276 951171 990582 993408 1004154 1049568 1093056 1108032 1132907 1170672 1184144 1200368 1268228 1320776 1338872 1399424 1560896 1776216 1800552 1902342 1981164 2008308 2099136 2146261 2175667 2186112 2216064 2265814 2341344 2368288 2400736 2536456 2641552 2677744 3121792 3398721 3552432 3601104 3804684 3962328 4016616 4198272 4292522 4351334 4531628 4682688 4736576 4787813 4801472 4853411 5072912 5283104 5355488 6438783 6527001 6797442 7104864 7202208 7609368 7924656 8033232 8585044 8702668 9063256 9365376 9473152 9575626 9602944 9706822 10145824 10566208 10710976 12877566 13054002 13594884 14209728 14363439 14404416 14560233 14727791 15218736 15849312 16066464 17170088 17405336 18126512 19151252 19413644 20291648 21132416 21421952 25755132 26108004 27189768 28419456 28726878 28808832 29120466 29455582 30437472 31698624 32132928 32854303 34340176 34810672 36253024 38302504 38827288 40583296 44183373 51510264 52216008 54379536 57453756 58240932 58911164 60874944 62241569 63094343 63397248 64265856 65708606 68680352 69621344 72506048 76605008 77654576 88366746 98562909 103020528 104432016 108759072 114907512 116481864 117822328 121749888 124483138 126188686 131417212 137360704 138846577 139242688 145012096 153210016 155309152 176733492 186724707 189283029 197125818 206041056 208864032 217518144 229815024 232963728 235644656 248966276 252377372 262834424 274721408 277693154 278485376 306420032 310618304 353466984 373449414 378566058 394251636 412082112 416539731 417728064 427105939 435036288 459630048 465927456 471289312 497932552 504754744 525668848 555386308 612840064 621236608 706933968 746898828 757132116 788503272 824164224 833079462 835456128 854211878 919260096 931854912 942578624 952774787 995865104 1009509488 1051337696 1110772616 1281317817 1413867936 1493797656 1514264232 1577006544 1666158924 1708423756 1805005501 1838520192 1863709824 1885157248 1905549574 1991730208 2019018976 2102675392 2221545232 2562635634 2827735872 2858324361 2987595312 3028528464 3154013088 3332317848 3416847512 3610011002 3811099148 3983460416 4038037952 4205350784 4443090464 5125271268 5415016503 5655471744 5716648722 5975190624 6057056928 6308026176 6664635696 6833695024 7220022004 7622198296 7966920832 8076075904 8886180928 10250542536 10830033006 11433297444 11950381248 12114113856 12386072231 12616052352 13329271392 13667390048 14440044008 15244396592 17772361856 20501085072 21660066012 22866594888 23900762496 24228227712 24772144462 26658542784 27334780096 27630468823 28880088016 30488793184 37158216693 41002170144 43320132024 45733189776 49544288924 53317085568 54669560192 55260937646 57760176032 60977586368 74316433386 82004340288 82891406469 86640264048 91466379552 99088577848 110521875292 115520352064 121955172736 148632866772 164008680576 165782812938 173280528096 182932759104 198177155696 221043750584 231040704128 297265733544 331565625876 346561056192 359196094699 365865518208 396354311392 442087501168 594531467088 663131251752 693122112384 718392189398 792708622784 884175002336 1077588284097 1189062934176 1326262503504 1436784378796 1585417245568 1768350004672 2155176568194 2378125868352 2652525007008 2873568757592 3536700009344 4310353136388 4756251736704 5305050014016 5747137515184 8620706272776 10610100028032 11494275030368 17241412545552 22988550060736 34482825091104 45977100121472 68965650182208 137931300364416
• Sum of all divisors σ(n): 410779736640000
• Sum of proper divisors (its aliquot sum) s(n): 272848436275584
• 137931300364416 is an abundant number, because the sum of its proper divisors (272848436275584) is greater than itself. Its abundance is 134917135911168

Bases of 137931300364416

• Binary: 11111010111001010100010001010010110000010000000₂
• Hexadecimal: 0x7D72A2296080
• Base-36: 1CW4RIYFEO

Squares and roots of 137931300364416

• 137931300364416 squared (137931300364416²) is 19025043620218745374399021056
• 137931300364416 cubed (137931300364416³) is 2624149006026508129765478007338446457143296
• The square root of 137931300364416 is 11744415.7097922927
• The cube root of 137931300364416 is 51667.9158437217

Scales and comparisons

• 137,931,300,364,416 seconds is equal to 4,385,788 years, 36 weeks, 3 days, 13 hours, 13 minutes, 36 seconds.
• To count from 1 to 137,931,300,364,416 would take you about ten million, nine hundred sixty-four thousand, four hundred seventy-one 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 137931300364416 cubic inches would be around 4305.7 feet tall.

Recreational maths with 137931300364416

• 137931300364416 backwards is 614463003139731
• The number of decimal digits it has is: 15
• The sum of 137931300364416's digits is 51
• More coming soon!