137334172965968

Names of 137334172965968

• Cardinal: 137334172965968 can be written as One hundred thirty-seven trillion, three hundred thirty-four billion, one hundred seventy-two million, nine hundred sixty-five thousand, nine hundred sixty-eight.

Scientific notation

• Scientific notation: 1.37334172965968 × 10¹⁴

Factors of 137334172965968

• Number of distinct prime factors ω(n): 7
• Total number of prime factors Ω(n): 11
• Sum of prime factors: 5070

Divisors of 137334172965968

• Number of divisors d(n): 480
• Complete list of divisors:
  1 2 4 8 11 16 17 22 34 44 61 68 88 97 121 122 136 149 176 187 194 242 244 272 298 374 388 484 488 596 671 748 776 968 976 1037 1067 1192 1342 1496 1552 1639 1649 1936 2057 2074 2134 2384 2533 2684 2992 3278 3298 4114 4148 4268 4733 5066 5368 5917 6556 6596 7381 8228 8296 8536 9089 9466 10132 10736 11407 11737 11834 13112 13192 14453 14762 16456 16592 17072 18029 18139 18178 18932 20264 22814 23474 23668 26224 26384 27863 28906 29524 32912 36058 36278 36356 37864 40528 45628 46948 47336 52063 55726 57812 59048 65087 72116 72556 72712 75728 80461 91256 93896 94672 99979 100589 104126 111452 115624 118096 125477 130174 144232 145112 145424 154513 158983 160922 182512 187792 199529 199958 201178 208252 222904 231248 245701 250954 260348 288464 288713 290224 306493 309026 317966 321844 399058 399916 402356 416504 445808 459101 491402 501908 520696 572693 577426 612986 618052 635932 643688 705217 715957 798116 799832 804712 833008 881633 885071 918202 982804 1003816 1041392 1099769 1106479 1145386 1154852 1225972 1236104 1271864 1287376 1410434 1431914 1596232 1599664 1609424 1699643 1748813 1763266 1770142 1836404 1965608 2007632 2199538 2212958 2290772 2309704 2451944 2472208 2543728 2702711 2820868 2863828 3175843 3192464 3399286 3497626 3526532 3540284 3672808 3931216 4399076 4425916 4581544 4619408 4903888 4908121 5050111 5405422 5641736 5727656 6351686 6798572 6995252 7053064 7080568 7345616 7757387 7804717 8798152 8851832 9163088 9697963 9735781 9816242 10100222 10810844 11283472 11455312 11988689 12171269 12703372 13597144 13990504 14106128 14161136 14987761 15514774 15609434 17596304 17703664 18696073 19395926 19471562 19632484 20200444 21621688 23977378 24342538 25406744 27194288 27981008 28005161 29729821 29975522 31029548 31218868 34934273 37392146 38791852 38943124 39264968 40400888 43018237 43243376 47954756 48685076 50813488 53989331 55551221 56010322 59459642 59951044 62059096 62437736 68406049 69868546 74784292 77583704 77886248 78529936 80801776 85331257 85851887 86036474 95909512 97370152 106677593 107978662 111102442 112020644 118919284 119902088 124118192 124875472 131875579 136812098 139737092 149568584 155167408 155772496 164865371 170662514 171703774 172072948 191819024 194740304 213355186 215957324 222204884 224041288 237838568 239804176 263751158 273624196 279474184 299137168 308056771 329730742 341325028 343407548 344145896 426710372 431914648 444409768 448082576 473200607 475677136 476087737 527502316 547248392 558948368 593882641 616113542 659461484 682650056 686815096 688291792 731310029 752466539 853420744 863829296 888819536 944370757 946401214 952175474 1055004632 1094496784 1162902833 1187765282 1232227084 1318922968 1365300112 1373630192 1450631369 1462620058 1504933078 1706841488 1813519081 1888741514 1892802428 1904350948 2110009264 2325805666 2375530564 2464454168 2637845936 2901262738 2925240116 3009866156 3388624481 3627038162 3777483028 3785604856 3808701896 4172768989 4651611332 4751061128 4928908336 5205206677 5236965107 5802525476 5850480232 6019732312 6777248962 7254076324 7554966056 7571209712 7617403792 8044410319 8277131929 8345537978 9303222664 9502122256 10410413354 10473930214 11605050952 11700960464 12039464624 12791931163 13554497924 14508152648 15109932112 16088820638 16554263858 16691075956 18606445328 20820826708 20947860428 23210101904 25583862326 27108995848 29016305296 32177641276 33108527716 33382151912 41641653416 41895720856 45900458879 51167724652 54217991696 57606616177 64355282552 66217055432 66764303824 70937072813 83283306832 83791441712 88488513509 91800917758 102335449304 115213232354 128710565104 132434110864 140711242793 141874145626 176977027018 183601835516 204670898608 230426464708 281422485586 283748291252 353954054036 367203671032 460852929416 504905047669 562844971172 567496582504 707908108072 734407342064 780307800943 921705858832 1009810095338 1125689942344 1134993165008 1415816216144 1560615601886 2019620190676 2251379884688 3121231203772 4039240381352 6242462407544 8078480762704 8583385810373 12484924815088 17166771620746 34333543241492 68667086482984 137334172965968
• Sum of all divisors σ(n): 320201319866400
• Sum of proper divisors (its aliquot sum) s(n): 182867146900432
• 137334172965968 is an abundant number, because the sum of its proper divisors (182867146900432) is greater than itself. Its abundance is 45532973934464

Bases of 137334172965968

• Binary: 11111001110011110011010100110000101110001010000₂
• Hexadecimal: 0x7CE79A985C50
• Base-36: 1COIG4PXZK

Squares and roots of 137334172965968

• 137334172965968 squared (137334172965968²) is 18860675064246415850086177024
• 137334172965968 cubed (137334172965968³) is 2590215211528136895199243076112508375519232
• The square root of 137334172965968 is 11718966.3778836741
• The cube root of 137334172965968 is 51593.2483411621

Scales and comparisons

• 137,334,172,965,968 seconds is equal to 4,366,801 years, 46 weeks, 4 days, 19 hours, 26 minutes, 8 seconds.
• To count from 1 to 137,334,172,965,968 would take you about ten million, nine hundred seventeen thousand and four 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 137334172965968 cubic inches would be around 4299.4 feet tall.

Recreational maths with 137334172965968

• 137334172965968 backwards is 869569271433731
• The number of decimal digits it has is: 15
• The sum of 137334172965968's digits is 74
• More coming soon!