137408918876768

Names of 137408918876768

• Cardinal: 137408918876768 can be written as One hundred thirty-seven trillion, four hundred eight billion, nine hundred eighteen million, eight hundred seventy-six thousand, seven hundred sixty-eight.

Scientific notation

• Scientific notation: 1.37408918876768 × 10¹⁴

Factors of 137408918876768

• Number of distinct prime factors ω(n): 6
• Total number of prime factors Ω(n): 14
• Sum of prime factors: 251

Divisors of 137408918876768

• Number of divisors d(n): 720
• Complete list of divisors:
  1 2 4 7 8 11 14 16 22 28 32 44 56 61 73 77 88 97 112 121 122 146 154 176 194 224 242 244 292 308 352 388 427 484 488 511 584 616 671 679 776 803 847 854 968 976 1022 1067 1168 1232 1331 1342 1358 1552 1606 1694 1708 1936 1952 2044 2134 2336 2464 2662 2684 2716 3104 3212 3388 3416 3872 4088 4268 4453 4697 5324 5368 5432 5621 5917 6424 6776 6832 7081 7381 7469 8176 8536 8833 8906 9317 9394 9409 10648 10736 10864 11242 11737 11834 12848 13552 13664 14162 14641 14762 14938 16352 17072 17666 17812 18634 18788 18818 21296 21472 21728 22484 23474 23668 25696 27104 28324 29282 29524 29876 31171 34144 35332 35624 37268 37576 37636 41419 42592 44968 46948 47336 48983 49567 51667 56648 58564 59048 59752 61831 62342 65087 65863 70664 71248 74536 75152 75272 77891 81191 82159 82838 89936 93896 94672 97163 97966 99134 102487 103334 103499 113296 117128 118096 119504 123662 124684 129107 130174 131726 141328 142496 149072 150304 150544 155782 162382 164318 165676 179872 187792 189344 194326 195932 198268 204974 206668 206998 226592 234256 236192 239008 247324 249368 258214 260348 263452 282656 298144 301088 311564 324764 328636 331352 342881 375584 388652 391864 396536 409948 413336 413996 431941 455609 468512 494648 498736 516428 520696 526904 538813 545237 568337 573949 623128 649528 657272 662704 680141 685762 686857 715957 724493 777304 783728 793072 819896 826672 827992 856801 863882 893101 903749 911218 989296 997472 1032856 1041392 1053808 1068793 1077626 1090474 1136674 1138489 1147898 1246256 1299056 1314544 1325408 1360282 1371524 1373714 1420177 1431914 1448986 1554608 1567456 1586144 1639792 1653344 1655984 1713602 1727764 1786202 1807498 1822436 1978592 2065712 2082784 2107616 2137586 2155252 2180948 2273348 2276978 2295796 2492512 2598112 2629088 2720564 2743048 2747428 2840354 2863828 2897972 3023587 3109216 3279584 3311968 3427204 3455528 3572404 3614996 3644872 3771691 4017643 4131424 4275172 4310504 4361896 4546696 4553956 4591592 4751351 4807999 5011699 5441128 5486096 5494856 5680708 5727656 5795944 5926943 5997607 6047174 6251707 6313439 6854408 6911056 7144808 7229992 7289744 7481551 7543382 7555427 7875527 7969423 8035286 8550344 8621008 8723792 9093392 9107912 9183184 9424811 9502702 9615998 9941239 10023398 10882256 10972192 10989712 11361416 11455312 11591888 11853886 11995214 12094348 12503414 12523379 12626878 13708816 13822112 14289616 14459984 14579488 14963102 15086764 15110854 15751054 15938846 16070572 17100688 17242016 17447584 18186784 18215824 18366368 18849622 19005404 19231996 19882478 20046796 21764512 21979424 22722832 22910624 23183776 23707772 23990428 24188696 25006828 25046758 25253756 27417632 28579232 28919968 29926204 30173528 30221708 31502108 31877692 32141144 33259457 34201376 36431648 37699244 38010808 38463992 39764956 40093592 41488601 41898277 44194073 45445664 47415544 47980856 48377392 50013656 50093516 50507512 52264861 52887989 55128689 59852408 60347056 60443416 63004216 63755384 64282288 65196373 65973677 66518914 69447829 75398488 76021616 76927984 79529912 80187184 82977202 83109697 83796554 86630797 87663653 88388146 94831088 95961712 96754784 100027312 100187032 101015024 103672921 104529722 105775978 110257378 119704816 120694112 120886832 126008432 127510768 128564576 130392746 131947354 133037828 137757169 138895658 150796976 152043232 153855968 159059824 160374368 165954404 166219394 167593108 173261594 175327306 176776292 189662176 191923424 200054624 200374064 202030048 207345842 209059444 211551956 220514756 239409632 241773664 252016864 255021536 260785492 263894708 266075656 275514338 277791316 293287939 301593952 318119648 331908808 332438788 335186216 346523188 350654612 353552584 365854027 400748128 414691684 418118888 423103912 441029512 456374611 460881047 486134803 521570984 527789416 532151312 551028676 555582632 574913471 581767879 586575878 606415579 663817616 664877576 670372432 693046376 701309224 707105168 725710447 731708054 763926119 829383368 836237776 846207824 882059024 912749222 914206667 921762094 964300183 972269606 1043141968 1055578832 1064302624 1102057352 1111165264 1149826942 1163535758 1173151756 1212831158 1327635232 1329755152 1340744864 1386092752 1402618448 1414210336 1451420894 1463416108 1527852238 1658766736 1672475552 1692415648 1764118048 1825498444 1828413334 1843524188 1928600366 1944539212 2086283936 2111157664 2204114704 2222330528 2299653884 2327071516 2346303512 2425662316 2659510304 2772185504 2805236896 2902841788 2926832216 3055704476 3226167329 3317533472 3650996888 3656826668 3687048376 3857200732 3889078424 4024394297 4408229408 4599307768 4654143032 4692607024 4851324632 5069691517 5347482833 5805683576 5853664432 6111408952 6324048181 6399446669 6452334658 7301993776 7313653336 7374096752 7714401464 7778156848 8048788594 8403187309 9198615536 9308286064 9385214048 9702649264 10056273337 10139383034 10694965666 11611367152 11707328864 12222817904 12648096362 12798893338 12904669316 14603987552 14627306672 14748193504 15428802928 15556313696 16097577188 16806374618 18397231072 18616572128 19405298528 20112546674 20278766068 21389931332 23222734304 24445635808 25296192724 25597786676 25809338632 29254613344 30857605856 32195154376 33612749236 35487840619 40225093348 40557532136 42779862664 44268337267 50592385448 51195573352 51618677264 55766606687 58822311163 64390308752 67225498472 70393913359 70975681238 80450186696 81115064272 85559725328 88536674534 101184770896 102391146704 103237354528 111533213374 117644622326 128780617504 134450996944 140787826718 141951362476 160900373392 162230128544 171119450656 177073349068 202369541792 204782293408 223066426748 235289244652 268901993888 281575653436 283902724952 321800746784 354146698136 390366246809 446132853496 470578489304 563151306872 567805449904 613432673557 708293396272 780732493618 892265706992 941156978608 1126302613744 1135610899808 1226865347114 1416586792544 1561464987236 1784531413984 1882313957216 2252605227488 2453730694228 3122929974472 4294028714899 4907461388456 6245859948944 8588057429798 9814922776912 12491719897888 17176114859596 19629845553824 34352229719192 68704459438384 137408918876768
• Sum of all divisors σ(n): 354044758122720
• Sum of proper divisors (its aliquot sum) s(n): 216635839245952
• 137408918876768 is an abundant number, because the sum of its proper divisors (216635839245952) is greater than itself. Its abundance is 79226920369184

Bases of 137408918876768

• Binary: 11111001111100100000001110011000111001001100000₂
• Hexadecimal: 0x7CF901CC7260
• Base-36: 1CPGSAI7VK

Squares and roots of 137408918876768

• 137408918876768 squared (137408918876768²) is 18881210986882209202770125824
• 137408918876768 cubed (137408918876768³) is 2594446788791638154549026390494056110456832
• The square root of 137408918876768 is 11722155.0440509015
• The cube root of 137408918876768 is 51602.6067424919

Scales and comparisons

• 137,408,918,876,768 seconds is equal to 4,369,178 years, 30 weeks, 3 days, 12 hours, 26 minutes, 8 seconds.
• To count from 1 to 137,408,918,876,768 would take you about ten million, nine hundred twenty-two thousand, nine 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 137408918876768 cubic inches would be around 4300.2 feet tall.

Recreational maths with 137408918876768

• 137408918876768 backwards is 867678819804731
• The number of decimal digits it has is: 15
• The sum of 137408918876768's digits is 83
• More coming soon!