137147544376128

Names of 137147544376128

• Cardinal: 137147544376128 can be written as One hundred thirty-seven trillion, one hundred forty-seven billion, five hundred forty-four million, three hundred seventy-six thousand, one hundred twenty-eight.

Scientific notation

• Scientific notation: 1.37147544376128 × 10¹⁴

Factors of 137147544376128

• Number of distinct prime factors ω(n): 6
• Total number of prime factors Ω(n): 14
• Sum of prime factors: 110635

Divisors of 137147544376128

• Number of divisors d(n): 756
• Complete list of divisors:
  1 2 3 4 6 8 9 11 12 13 16 18 22 24 26 32 33 36 37 39 44 48 52 64 66 72 74 78 88 96 99 104 111 117 121 132 143 144 148 156 176 192 198 208 222 234 242 264 286 288 296 312 333 352 363 396 407 416 429 444 468 481 484 528 572 576 592 624 666 704 726 792 814 832 858 888 936 962 968 1056 1089 1144 1184 1221 1248 1287 1332 1369 1443 1452 1573 1584 1628 1716 1776 1872 1924 1936 2112 2178 2288 2368 2442 2496 2574 2664 2738 2886 2904 3146 3168 3256 3432 3552 3663 3744 3848 3872 4107 4329 4356 4477 4576 4719 4884 5148 5291 5328 5476 5772 5808 6292 6336 6512 6864 7104 7326 7488 7696 7744 8214 8658 8712 8954 9152 9438 9768 10296 10582 10656 10952 11544 11616 12321 12584 13024 13431 13728 14157 14652 15059 15392 15873 16428 17316 17424 17797 17908 18876 19536 20592 21164 21312 21904 23088 23232 24642 25168 26048 26862 27456 28314 29304 30118 30784 31746 32856 34632 34848 35594 35816 37752 39072 40293 41184 42328 43808 45177 46176 47619 49284 50336 53391 53724 56628 58201 58608 60236 63492 65712 69264 69696 71188 71632 75504 78144 80586 82368 84656 87616 90354 92352 95238 98568 100672 106782 107448 110569 113256 116402 117216 120472 126984 131424 135531 138528 142376 143264 151008 160173 161172 165649 169312 174603 180708 190476 195767 197136 213564 214896 221138 226512 232804 234432 240944 253968 262848 271062 277056 284752 286528 302016 320346 322344 331298 331707 338624 349206 361416 380952 391534 394272 427128 429792 442276 453024 465608 481888 496947 507936 523809 542124 569504 587301 640692 644688 662596 663414 698412 722832 761904 783068 788544 854256 859584 884552 906048 931216 963776 993894 995121 1015872 1047618 1084248 1139008 1174602 1216259 1281384 1289376 1325192 1326828 1396824 1437397 1445664 1490841 1523808 1566136 1708512 1761903 1769104 1862432 1987788 1990242 2095236 2153437 2168496 2349204 2432518 2562768 2578752 2650384 2653656 2793648 2874794 2891328 2981682 3047616 3132272 3417024 3523806 3538208 3648777 3724864 3975576 3980484 4091053 4190472 4306874 4312191 4336992 4698408 4865036 5125536 5300768 5307312 5587296 5749588 5963364 6264544 6460311 7047612 7076416 7297554 7951152 7960968 8182106 8380944 8613748 8624382 8673984 9396816 9730072 10251072 10601536 10614624 10946331 11174592 11499176 11926728 12273159 12529088 12920622 12936573 13378849 14095224 14595108 15811367 15902304 15921936 16364212 16761888 17227496 17248764 18793632 19380933 19460144 21229248 21892662 22998352 23853456 24546318 25841244 25873146 26757698 28190448 29190216 31622734 31804608 31843872 32728424 33523776 34454992 34497528 36819477 37587264 38761866 38920288 40136547 43785324 45001583 45996704 47434101 47706912 49092636 51682488 51746292 53183689 53515396 56380896 58380432 63245468 63687744 65456848 68909984 68995056 73638954 77523732 77840576 80273094 87570648 90003166 91993408 94868202 95413824 98185272 103364976 103492584 106367378 107030792 112761792 116760864 120409641 126490936 130913696 135004749 137819968 137990112 142302303 147277908 151368961 155047464 159551067 160546188 173925037 175141296 180006332 189736404 196370544 206729952 206985168 212734756 214061584 233521728 240819282 252981872 261827392 270009498 275980224 284604606 294555816 302737922 310094928 319102134 321092376 347850074 350282592 360012664 379472808 392741088 405014247 413459904 413970336 425469512 428123168 454106883 478653201 481638564 495017413 505963744 521775111 540018996 569209212 585020579 589111632 605475844 620189856 638204268 642184752 695700148 700565184 720025328 758945616 785482176 810028494 827940672 850939024 856246336 908213766 957306402 963277128 990034826 1011927488 1043550222 1080037992 1138418424 1170041158 1178223264 1210951688 1240379712 1276408536 1284369504 1362320649 1391400296 1440050656 1485052239 1517891232 1565325333 1620056988 1665058571 1701878048 1755061737 1816427532 1914612804 1926554256 1967796493 1980069652 2087100444 2160075984 2276836848 2340082316 2356446528 2421903376 2552817072 2568739008 2724641298 2782800592 2880101312 2970104478 3035782464 3130650666 3240113976 3330117142 3403756096 3510123474 3632855064 3829225608 3853108512 3935592986 3960139304 4174200888 4320151968 4455156717 4553673696 4680164632 4843806752 4995175713 5105634144 5265185211 5449282596 5565601184 5903389479 5940208956 6261301332 6435226369 6480227952 6660234284 7020246948 7265710128 7658451216 7706217024 7871185972 7920278608 8348401776 8640303936 8910313434 9107347392 9360329264 9687613504 9990351426 10211268288 10530370422 10898565192 11131202368 11806778958 11880417912 12522602664 12870452738 12960455904 13320468568 14040493896 14531420256 14985527139 15316902432 15742371944 15840557216 16696803552 17710168437 17820626868 18315644281 18720658528 19305679107 19980702852 21060740844 21645761423 21797130384 23613557916 23760835824 25045205328 25740905476 25920911808 26640937136 28080987792 29062840512 29971054278 30633804864 31484743888 31681114432 33393607104 35420336874 35641253736 36631288562 37441317056 38611358214 39961405704 42121481688 43291522846 43594260768 47227115832 47521671648 50090410656 51481810952 53281874272 54946932843 56161975584 57917037321 59942108556 62969487776 64937284269 70840673748 71282507472 73262577124 77222716428 79922811408 84242963376 86583045692 87188521536 94454231664 95043343296 100180821312 102963621904 106563748544 109893865686 112323951168 115834074642 119884217112 125938975552 129874568538 141681347496 142565014944 146525154248 154445432856 159845622816 164840798529 168485926752 173166091384 188908463328 194811852807 205927243808 219787731372 231668149284 238103375653 239768434224 259749137076 283362694992 285130029888 293050308496 308890865712 319691245632 329681597058 336971853504 346332182768 377816926656 389623705614 411854487616 439575462744 463336298568 476206751306 479536868448 519498274152 566725389984 586100616992 617781731424 659363194116 692664365536 714310126959 779247411228 879150925488 926672597136 952413502612 959073736896 1038996548304 1133450779968 1172201233984 1235563462848 1318726388232 1385328731072 1428620253918 1558494822456 1758301850976 1853345194272 1904827005224 2077993096608 2142930380877 2637452776464 2857240507836 3116989644912 3516603701952 3706690388544 3809654010448 4155986193216 4285860761754 5274905552928 5714481015672 6233979289824 7619308020896 8571721523508 10549811105856 11428962031344 12467958579648 15238616041792 17143443047016 22857924062688 34286886094032 45715848125376 68573772188064 137147544376128
• Sum of all divisors σ(n): 478253499922380
• Sum of proper divisors (its aliquot sum) s(n): 341105955546252
• 137147544376128 is an abundant number, because the sum of its proper divisors (341105955546252) is greater than itself. Its abundance is 203958411170124

Bases of 137147544376128

• Binary: 11111001011110000100110101010100001001101000000₂
• Hexadecimal: 0x7CBC26AA1340
• Base-36: 1CM4PMVKG0

Squares and roots of 137147544376128

• 137147544376128 squared (137147544376128²) is 18809448928401999000736272384
• 137147544376128 cubed (137147544376128³) is 2579669731598526414183421029329557555249152
• The square root of 137147544376128 is 11711000.9980414569
• The cube root of 137147544376128 is 51569.8670760667

Scales and comparisons

• 137,147,544,376,128 seconds is equal to 4,360,867 years, 35 weeks, 4 days, 16 hours, 28 minutes, 48 seconds.
• To count from 1 to 137,147,544,376,128 would take you about ten million, nine hundred two thousand, one hundred sixty-nine 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 137147544376128 cubic inches would be around 4297.5 feet tall.

Recreational maths with 137147544376128

• 137147544376128 backwards is 821673445741731
• The number of decimal digits it has is: 15
• The sum of 137147544376128's digits is 63
• More coming soon!