137742092665632

Names of 137742092665632

• Cardinal: 137742092665632 can be written as One hundred thirty-seven trillion, seven hundred forty-two billion, ninety-two million, six hundred sixty-five thousand, six hundred thirty-two.

Scientific notation

• Scientific notation: 1.37742092665632 × 10¹⁴

Factors of 137742092665632

• Number of distinct prime factors ω(n): 7
• Total number of prime factors Ω(n): 13
• Sum of prime factors: 35296

Divisors of 137742092665632

• Number of divisors d(n): 768
• Complete list of divisors:
  1 2 3 4 6 7 8 9 12 13 14 16 18 21 24 26 27 28 32 36 39 42 48 52 54 56 63 72 78 84 91 96 104 108 112 117 126 127 144 156 168 182 189 208 216 224 234 252 254 273 288 312 336 351 364 378 381 397 416 432 468 504 508 546 624 672 702 728 756 762 794 819 864 889 936 1008 1016 1092 1143 1191 1248 1404 1456 1512 1524 1588 1638 1651 1778 1872 2016 2032 2184 2286 2382 2457 2667 2779 2808 2912 3024 3048 3176 3276 3302 3429 3556 3573 3744 4064 4368 4572 4764 4914 4953 5161 5334 5558 5616 6048 6096 6352 6552 6604 6858 7112 7146 8001 8337 8736 9144 9528 9828 9906 10322 10668 10719 11116 11232 11557 12192 12704 13104 13208 13716 14224 14292 14859 15483 16002 16674 18288 19056 19656 19812 20644 21336 21438 22232 23114 24003 25011 26208 26416 27432 28448 28584 29718 30966 32004 33348 34671 34747 36127 36576 38112 39312 39624 41288 42672 42876 44464 44577 46228 46449 48006 50022 50419 52832 54864 57168 59436 61932 64008 66696 69342 69494 72254 75033 78624 79248 82576 85344 85752 88928 89154 92456 92898 96012 100044 100838 104013 104241 108381 109728 114336 118872 123864 128016 133392 138684 138988 139347 144508 150066 151257 158496 165152 171504 178308 184912 185796 192024 200088 201676 208026 208482 216762 237744 243229 247728 256032 266784 277368 277976 278694 289016 300132 302514 312039 312723 325143 343008 352933 356616 369824 371592 384048 400176 403352 416052 416964 433524 451711 453771 475488 486458 495456 554736 555952 557388 578032 600264 605028 624078 625446 650286 655447 705866 713232 729687 743184 768096 800352 806704 832104 833928 867048 903422 907542 938169 972916 975429 1058799 1109472 1111904 1114776 1156064 1200528 1210056 1248156 1250892 1300572 1310894 1355133 1361313 1411732 1426464 1459374 1486368 1613408 1664208 1667856 1734096 1806844 1815084 1876338 1945832 1950858 1966341 2117598 2189061 2229552 2401056 2420112 2496312 2501784 2601144 2621788 2710266 2722626 2823464 2918748 3161977 3176397 3328416 3335712 3468192 3613688 3630168 3752676 3891664 3901716 3932682 4065399 4235196 4378122 4412869 4459104 4588129 4840224 4992624 5003568 5202288 5243576 5420532 5445252 5646928 5837496 5899023 6323954 6352794 6567183 7227376 7260336 7505352 7783328 7803432 7865364 8130798 8470392 8756244 8825738 9176258 9485931 9529191 9985248 10007136 10404576 10487152 10841064 10890504 11293856 11674992 11798046 12196197 12647908 12705588 13134366 13238607 13764387 13794559 14454752 14520672 15010704 15606864 15730728 16261596 16940784 17512488 17651476 17697069 18352516 18971862 19058382 20974304 21682128 21781008 23349984 23596092 24392394 25295816 25411176 26268732 26477214 27528774 27589118 28457793 30021408 30890083 31213728 31461456 32523192 33881568 35024976 35302952 35394138 36705032 37943724 38116764 39715821 41293161 41383677 43364256 43562016 47192184 48784788 50591632 50822352 52537464 52954428 55057548 55178236 56915586 57367297 61780166 62922912 65046384 70049952 70605904 70788276 73410064 75887448 76233528 79431642 82586322 82767354 85373379 92670249 94384368 96561913 97569576 101183264 101644704 105074928 105908856 110115096 110356472 113831172 114734594 119147463 123560332 123879483 124151031 130092768 141211808 141576552 146820128 151774896 152467056 158863284 165172644 165534708 170746758 172101891 179329267 185340498 188768736 193123826 195139152 210149856 211817712 220230192 220712944 227662344 229469188 238294926 247120664 247758966 248302062 278010747 283153104 289685739 303549792 304934112 317726568 330345288 331069416 341493516 344203782 358658534 370680996 372453093 386247652 390278304 401571079 423635424 440460384 441425888 455324688 458938376 476589852 494241328 495517932 496604124 516305673 537987801 556021494 566306208 579371478 635453136 660690576 662138832 682987032 688407564 717317068 741361992 744906186 772495304 803142158 834032241 869057217 910649376 917876752 953179704 988482656 991035864 993208248 1032611346 1075975602 1112042988 1158742956 1204713237 1255304869 1270906272 1321381152 1324277664 1365974064 1376815128 1434634136 1482723984 1489812372 1544990608 1548917019 1606284316 1613963403 1668064482 1738114434 1751908993 1835753504 1906359408 1982071728 1986416496 2065222692 2151951204 2224085976 2317485912 2409426474 2510609738 2607171651 2731948128 2753630256 2869268272 2965447968 2979624744 3089981216 3097834038 3212568632 3227926806 3336128964 3476228868 3503817986 3614139711 3765914607 3812718816 3964143456 3972832992 4130445384 4303902408 4448171952 4634971824 4818852948 4841890209 5021219476 5214343302 5255726979 5507260512 5738536544 5959249488 6195668076 6425137264 6455853612 6672257928 6952457736 7007635972 7228279422 7531829214 8260890768 8607804816 8896343904 9269943648 9637705896 9683780418 10042438952 10428686604 10511453958 10842419133 11297743821 11918498976 12263362951 12391336152 12850274528 12911707224 13344515856 13904915472 14015271944 14456558844 15063658428 15767180937 16521781536 17215609632 19275411792 19367560836 20084877904 20857373208 21022907916 21684838266 22595487642 22774816909 24526725902 24782672304 25823414448 26689031712 27809830944 28030543888 28913117688 30127316856 31534361874 33893231463 36790088853 38550823584 38735121672 40169755808 41714746416 42045815832 43369676532 45190975284 45549633818 47301542811 49053451804 49565344608 51646828896 56061087776 57826235376 60254633712 63068723748 67786462926 68324450727 73580177706 77470243344 83429492832 84091631664 86739353064 90381950568 91099267636 94603085622 98106903608 110370266559 115652470752 120509267424 126137447496 135572925852 136648901454 147160355412 154940486688 159423718363 168183263328 173478706128 180763901136 182198535272 189206171244 196213807216 204973352181 220740533118 252274894992 271145851704 273297802908 294320710824 318847436726 331110799677 346957412256 361527802272 364397070544 378412342488 392427614432 409946704362 441481066236 478271155089 504549789984 542291703408 546595605816 588641421648 614920056543 637694873452 662221599354 728794141088 756824684976 819893408724 882962132472 956542310178 1084583406816 1093191211632 1177282843296 1229840113086 1275389746904 1324443198708 1434813465267 1513649369952 1639786817448 1765924264944 1913084620356 2186382423264 2459680226172 2550779493808 2648886397416 2869626930534 3279573634896 3531848529888 3826169240712 4304440395801 4919360452344 5101558987616 5297772794832 5739253861068 6559147269792 7652338481424 8608880791602 9838720904688 10595545589664 11478507722136 15304676962848 17217761583204 19677441809376 22957015444272 34435523166408 45914030888544 68871046332816 137742092665632
• Sum of all divisors σ(n): 499621844090880
• Sum of proper divisors (its aliquot sum) s(n): 361879751425248
• 137742092665632 is an abundant number, because the sum of its proper divisors (361879751425248) is greater than itself. Its abundance is 224137658759616

Bases of 137742092665632

• Binary: 11111010100011010010100100000010000001100100000₂
• Hexadecimal: 0x7D4694810320
• Base-36: 1CTPUDKSO0

Squares and roots of 137742092665632

• 137742092665632 squared (137742092665632²) is 18972884091907552807353959424
• 137742092665632 cubed (137742092665632³) is 2613364758721825378150015545809505727315968
• The square root of 137742092665632 is 11736357.7257014453
• The cube root of 137742092665632 is 51644.2798236811

Scales and comparisons

• 137,742,092,665,632 seconds is equal to 4,379,772 years, 25 weeks, 15 hours, 7 minutes, 12 seconds.
• To count from 1 to 137,742,092,665,632 would take you about ten million, nine hundred forty-nine thousand, four hundred thirty-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 137742092665632 cubic inches would be around 4303.7 feet tall.

Recreational maths with 137742092665632

• 137742092665632 backwards is 236566290247731
• 137742092665632 is a Harshad number.
• The number of decimal digits it has is: 15
• The sum of 137742092665632's digits is 63
• More coming soon!