137363781992256

Names of 137363781992256

• Cardinal: 137363781992256 can be written as One hundred thirty-seven trillion, three hundred sixty-three billion, seven hundred eighty-one million, nine hundred ninety-two thousand, two hundred fifty-six.

Scientific notation

• Scientific notation: 1.37363781992256 × 10¹⁴

Factors of 137363781992256

• Number of distinct prime factors ω(n): 5
• Total number of prime factors Ω(n): 15
• Sum of prime factors: 146

Divisors of 137363781992256

• Number of divisors d(n): 756
• Complete list of divisors:
  1 2 3 4 6 8 9 12 16 18 24 29 32 36 48 53 58 59 64 72 87 96 106 116 118 144 159 174 177 192 212 232 236 261 288 318 348 354 424 464 472 477 522 531 576 636 696 708 841 848 928 944 954 1044 1062 1272 1392 1416 1537 1682 1696 1711 1856 1888 1908 2088 2124 2523 2544 2784 2809 2832 3074 3127 3364 3392 3422 3481 3776 3816 4176 4248 4611 5046 5088 5133 5568 5618 5664 6148 6254 6728 6844 6962 7569 7632 8352 8427 8496 9222 9381 10092 10176 10266 10443 11236 11328 12296 12508 13456 13688 13833 13924 15138 15264 15399 16704 16854 16992 18444 18762 20184 20532 20886 22472 24389 24592 25016 25281 26912 27376 27666 27848 28143 30276 30528 30798 31329 33708 33984 36888 37524 40368 41064 41772 44573 44944 48778 49184 49619 50032 50562 53824 54752 55332 55696 56286 60552 61596 62658 67416 73167 73776 75048 80736 81461 82128 83544 89146 89888 90683 97556 98368 99238 100064 100949 101124 109504 110664 111392 112572 121104 123192 125316 133719 134832 146334 147552 148857 150096 161472 162922 164256 165731 167088 178292 179776 181366 184493 195112 198476 200128 201898 202248 219501 221328 222784 225144 242208 244383 246384 250632 267438 269664 272049 292668 295104 297714 300192 302847 325844 328512 331462 334176 356584 362732 368986 390224 396952 401157 403796 404496 439002 442656 446571 450288 484416 488766 492768 497193 501264 534876 539328 544098 553479 585336 595428 600384 605694 651688 662924 668352 713168 725464 733149 737972 780448 793904 802314 807592 808992 816147 878004 885312 893142 900576 908541 977532 985536 994386 1002528 1069752 1088196 1106958 1170672 1190856 1211388 1292617 1303376 1325848 1426336 1438951 1450928 1466298 1475944 1491579 1560896 1587808 1604628 1615184 1617984 1632294 1660437 1756008 1786284 1801152 1817082 1955064 1988772 2005056 2139504 2176392 2213916 2341344 2362369 2381712 2422776 2585234 2606752 2629807 2651696 2852672 2877902 2901856 2927521 2932596 2951888 2983158 3175616 3209256 3230368 3264588 3320874 3512016 3572568 3634164 3877851 3910128 3977544 4279008 4316853 4352784 4427832 4682688 4724738 4763424 4806199 4845552 5170468 5213504 5259614 5303392 5350297 5755804 5803712 5855042 5865192 5903776 5966316 6418512 6460736 6529176 6641748 7024032 7087107 7145136 7268328 7755702 7820256 7889421 7955088 8558016 8633706 8705568 8782563 8855664 9449476 9526848 9612398 9691104 9778129 10340936 10519228 10606784 10700594 11511608 11633553 11710084 11730384 11807552 11932632 12837024 12950559 13058352 13283496 14048064 14174214 14290272 14418597 14536656 15511404 15640512 15778842 15910176 16050891 17267412 17411136 17565126 17711328 18898952 19224796 19382208 19556258 20681872 21038456 21261321 21401188 23023216 23267106 23420168 23460768 23668263 23865264 25674048 25901118 26116704 26347689 26566992 28348428 28580544 28837194 29073312 29334387 31022808 31557684 31820352 32101782 34534824 35130252 35422656 37797904 38449592 39112516 41363744 42076912 42522642 42802376 43255791 46046432 46534212 46840336 46921536 47336526 47730528 48152673 51802236 52233408 52695378 53133984 56696856 57674388 58146624 58668774 62045616 63115368 64203564 68508701 69069648 70260504 75595808 76264403 76899184 78225032 82727488 84153824 84898109 85045284 85604752 86511582 88003161 92092864 93068424 93680672 94673052 95461056 96305346 103604472 105390756 106267968 113393712 115348776 117337548 124091232 126230736 128407128 137017402 138139296 139379771 140521008 151191616 152528806 153798368 155158613 156450064 168307648 169796218 170090568 171209504 173023164 176006322 186136848 187361344 189346104 192610692 205526103 207208944 210781512 226787424 228793209 230697552 234675096 248182464 252461472 254694327 256814256 274034804 276278592 278759542 281042016 283565741 305057612 307596736 310317226 312900128 339592436 340181136 342419008 346046328 352012644 372273696 378692208 385221384 411052206 414417888 418139313 421563024 453574848 457586418 461395104 465475839 469350192 504922944 509388654 513628512 548069608 557519084 562084032 567131482 610115224 616578309 620634452 625800256 679184872 680362272 686379627 692092656 704025288 744547392 757384416 764082981 770442768 822104412 828835776 836278626 843126048 850697223 915172836 922790208 930951678 938700384 1018777308 1027257024 1096139216 1115038168 1134262964 1220230448 1233156618 1241268904 1254417939 1358369744 1360724544 1372759254 1384185312 1396427517 1408050576 1514768832 1528165962 1540885536 1644208824 1672557252 1686252096 1701394446 1830345672 1861903356 1877400768 2037554616 2192278432 2230076336 2268525928 2440460896 2466313236 2482537808 2508835878 2552091669 2716739488 2745518508 2768370624 2792855034 2816101152 3056331924 3081771072 3288417648 3345114504 3402788892 3660691344 3723806712 4042013359 4075109232 4384556864 4460152672 4499599777 4537051856 4880921792 4932626472 4965075616 5017671756 5104183338 5433478976 5491037016 5585710068 5632202304 6112663848 6576835296 6690229008 6805577784 7321382688 7447613424 8084026718 8150218464 8223406489 8920305344 8999199554 9074103712 9865252944 9930151232 10035343512 10208366676 10982074032 11171420136 12126040077 12225327696 13153670592 13380458016 13498799331 13611155568 14642765376 14895226848 16168053436 16300436928 16446812978 17998399108 18148207424 19730505888 20070687024 20416733352 21964148064 22342840272 24252080154 24450655392 24670219467 26760916032 26997598662 27222311136 29790453696 32336106872 32893625956 35996798216 36378120231 39461011776 40141374048 40496397993 40833466704 43928296128 44685680544 48504160308 48901310784 49340438934 53995197324 54444622272 64672213744 65787251912 71993596432 72756240462 74010658401 80282748096 80992795986 81666933408 89371361088 97008320616 98680877868 107990394648 129344427488 131574503824 143987192864 145512480924 148021316802 161985591972 163333866816 194016641232 197361755736 215980789296 238478788181 258688854976 263149007648 287974385728 291024961848 296042633604 323971183944 388033282464 394723511472 431961578592 476957576362 526298015296 582049923696 592085267208 647942367888 715436364543 776066564928 789447022944 863923157184 953915152724 1164099847392 1184170534416 1295884735776 1430872729086 1578894045888 1907830305448 2146309093629 2328199694784 2368341068832 2591769471552 2861745458172 3815660610896 4292618187258 4736682137664 5723490916344 7631321221792 8585236374516 11446981832688 15262642443584 17170472749032 22893963665376 34340945498064 45787927330752 68681890996128 137363781992256
• Sum of all divisors σ(n): 422792908481580
• Sum of proper divisors (its aliquot sum) s(n): 285429126489324
• 137363781992256 is an abundant number, because the sum of its proper divisors (285429126489324) is greater than itself. Its abundance is 148065344497068

Bases of 137363781992256

• Binary: 11111001110111001111111011011100011111101000000₂
• Hexadecimal: 0x7CEE7F6E3F40
• Base-36: 1COW1T64W0

Squares and roots of 137363781992256

• 137363781992256 squared (137363781992256²) is 18868808603216033744443969536
• 137363781992256 cubed (137363781992256³) is 2591890911425771704353140177240771051913216
• The square root of 137363781992256 is 11720229.6049290775
• The cube root of 137363781992256 is 51596.9558817837

Scales and comparisons

• 137,363,781,992,256 seconds is equal to 4,367,743 years, 19 weeks, 2 days, 20 hours, 57 minutes, 36 seconds.
• To count from 1 to 137,363,781,992,256 would take you about ten million, nine hundred nineteen thousand, three hundred fifty-eight 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 137363781992256 cubic inches would be around 4299.7 feet tall.

Recreational maths with 137363781992256

• 137363781992256 backwards is 652299187363731
• 137363781992256 is a Harshad number.
• The number of decimal digits it has is: 15
• The sum of 137363781992256's digits is 72
• More coming soon!