137306920608

Names of 137306920608

• Cardinal: 137306920608 can be written as One hundred thirty-seven billion, three hundred six million, nine hundred twenty thousand, six hundred eight.

Scientific notation

• Scientific notation: 1.37306920608 × 10¹¹

Factors of 137306920608

• Number of distinct prime factors ω(n): 7
• Total number of prime factors Ω(n): 15
• Sum of prime factors: 212

Divisors of 137306920608

• Number of divisors d(n): 1152
• Complete list of divisors:
  1 2 3 4 6 8 9 11 12 13 16 18 19 22 24 26 27 32 33 36 38 39 44 48 52 54 57 66 67 72 76 78 81 88 96 97 99 104 108 114 117 132 134 143 144 152 156 162 171 176 194 198 201 208 209 216 228 234 243 247 264 268 286 288 291 297 304 312 324 342 351 352 388 396 402 416 418 429 432 456 468 486 494 513 528 536 572 582 594 603 608 624 627 648 684 702 737 741 776 792 804 836 858 864 871 873 891 912 936 972 988 1026 1053 1056 1067 1072 1144 1164 1188 1206 1248 1254 1261 1273 1287 1296 1368 1404 1474 1482 1539 1552 1584 1608 1672 1716 1742 1746 1782 1809 1824 1843 1872 1881 1944 1976 2052 2106 2134 2144 2211 2223 2288 2328 2376 2412 2508 2522 2546 2574 2592 2613 2619 2673 2717 2736 2808 2948 2964 3078 3104 3159 3168 3201 3216 3344 3432 3484 3492 3564 3618 3686 3744 3762 3783 3819 3861 3888 3952 4104 4212 4268 4422 4446 4576 4617 4656 4752 4824 5016 5044 5092 5148 5226 5238 5346 5427 5434 5472 5529 5616 5643 5896 5928 6156 6318 6402 6432 6499 6633 6669 6688 6864 6968 6984 7128 7236 7372 7524 7566 7638 7722 7776 7839 7857 7904 8151 8208 8424 8536 8844 8892 9234 9312 9504 9581 9603 9648 10032 10088 10184 10296 10452 10476 10692 10854 10868 11058 11232 11286 11349 11457 11583 11792 11856 12312 12636 12804 12998 13266 13338 13728 13871 13936 13968 14003 14256 14472 14744 15048 15132 15276 15444 15678 15714 16281 16302 16416 16549 16587 16848 16929 17072 17688 17784 18468 19162 19206 19296 19497 19899 20007 20064 20176 20273 20368 20592 20904 20952 21384 21708 21736 22116 22572 22698 22914 23166 23517 23571 23584 23712 23959 24453 24624 25272 25608 25996 26532 26676 27742 27872 27936 28006 28512 28743 28809 28944 29488 30096 30264 30552 30888 31356 31428 32562 32604 33098 33174 33696 33858 34047 34144 34371 34749 35376 35568 36936 38324 38412 38994 39798 40014 40352 40546 40736 41184 41613 41808 41904 42009 42768 43416 43472 44232 45144 45396 45828 46332 47034 47142 47918 48906 49248 49647 49761 50544 50787 51216 51992 53064 53352 55484 56012 57486 57618 57888 58491 58976 59697 60021 60192 60528 60819 61104 61776 62712 62856 65124 65208 66196 66348 67716 68094 68742 69498 70551 70752 71136 71489 71877 73359 73872 76648 76824 77988 79596 80028 81092 83226 83616 83808 84018 84487 85536 86229 86427 86832 86944 88464 90288 90792 91656 92664 94068 94284 95836 97812 99294 99522 101088 101574 102141 102432 103113 103984 106128 106704 110968 112024 114972 115236 116982 119394 120042 121056 121638 122208 123481 123552 124839 125424 125712 126027 130248 130416 132392 132696 135432 136188 137484 138996 141102 142978 143754 146718 147744 148941 149283 153296 153648 155976 159192 160056 162184 166452 168036 168974 172458 172854 173664 175473 176928 179091 180576 181584 182039 182457 183312 185328 188136 188568 191672 195624 198588 199044 203148 204282 206226 207968 211653 212256 213408 214467 215631 220077 221936 224048 229944 230472 233964 238788 240084 243276 246962 249678 250848 251424 252054 253461 258687 259281 260496 260832 263549 264784 265392 270864 272376 274968 277992 282204 285956 287508 293436 297882 298566 306423 306592 307296 309339 311952 318384 320112 324368 332904 336072 337948 344916 345708 350946 358182 363168 364078 364914 366624 370443 370656 374517 376272 377136 378081 383344 391248 397176 398088 406296 408564 412452 423306 428934 431262 440154 443872 446823 447849 448096 459888 460944 467928 477576 480168 486552 493924 499356 504108 506922 517374 518562 520992 526419 527098 529568 530784 541728 544752 546117 547371 549936 555984 564408 571912 575016 586872 595764 597132 612846 618678 623904 636768 640224 643401 646893 648736 660231 665808 672144 675896 689832 691416 701892 716364 728156 729828 740886 749034 752544 754272 756162 760383 766688 776061 782496 790647 794352 796176 812592 817128 824904 846612 857868 862524 880308 893646 895698 919776 921888 929357 935856 955152 960336 973104 987848 998712 1008216 1013844 1034748 1037124 1052838 1054196 1089504 1092234 1094742 1099872 1111329 1111968 1123551 1128816 1134243 1143824 1150032 1173744 1191528 1194264 1225692 1237356 1286802 1293786 1320462 1331616 1340469 1344288 1351792 1358291 1379664 1382832 1403784 1432728 1456312 1459656 1481772 1498068 1512324 1520766 1552122 1579257 1581294 1588704 1592352 1605253 1625184 1634256 1638351 1642113 1649808 1693224 1715736 1725048 1760616 1787292 1791396 1858714 1871712 1910304 1920672 1930203 1940679 1946208 1975696 1997424 2016432 2027688 2069496 2074248 2105676 2108392 2184468 2189484 2222658 2247102 2257632 2268486 2281149 2287648 2300064 2328183 2347488 2371941 2383056 2388528 2451384 2474712 2573604 2587572 2640924 2680938 2703584 2716582 2759328 2765664 2788071 2807568 2865456 2912624 2919312 2963544 2996136 3024648 3041532 3104244 3158514 3162588 3210506 3268512 3276702 3284226 3299616 3333987 3370653 3386448 3402729 3431472 3450096 3521232 3574584 3582792 3717428 3860406 3881358 3951392 3994848 4021407 4032864 4055376 4074873 4138992 4148496 4211352 4216784 4368936 4378968 4445316 4494204 4536972 4562298 4656366 4743882 4766112 4777056 4815759 4902768 4915053 4926339 4949424 5147208 5175144 5281848 5361876 5433164 5576142 5615136 5730912 5790609 5822037 5825248 5838624 5927088 5992272 6049296 6083064 6208488 6317028 6325176 6421012 6553404 6568452 6667974 6741306 6772896 6805458 6843447 6862944 6900192 7042464 7115823 7149168 7165584 7434856 7720812 7762716 8042814 8110752 8149746 8277984 8296992 8364213 8422704 8433568 8737872 8757936 8890632 8988408 9073944 9124596 9312732 9487764 9631518 9805536 9830106 9852678 9898848 10001961 10294416 10350288 10563696 10723752 10866328 11152284 11581218 11644074 11854176 11984544 12098592 12166128 12224619 12416976 12634056 12650352 12842024 13106808 13136904 13335948 13482612 13610916 13686894 14231646 14298336 14331168 14447277 14745159 14869712 15441624 15525432 16085628 16299492 16728426 16845408 17371827 17475744 17515872 17657783 17781264 17976816 18147888 18249192 18625464 18975528 19263036 19660212 19705356 20003922 20530341 20588832 20700576 21127392 21347469 21447504 21732656 22304568 23162436 23288148 24332256 24449238 24833952 25092639 25268112 25300704 25684048 26213616 26273808 26671896 26965224 27221832 27373788 28463292 28894554 29490318 29739424 30005883 30883248 31050864 32171256 32598984 33456852 34743654 35315566 35562528 35953632 36295776 36498384 36673857 37250928 37951056 38526072 39320424 39410712 40007844 41060682 42694938 42895008 43341831 43465312 44235477 44609136 46324872 46576296 48898476 50185278 50536224 51368096 52427232 52547616 52973349 53343792 53930448 54443664 54747576 56926584 57789108 58980636 60011766 61766496 62101728 64042407 64342512 65197968 66913704 69487308 70631132 72996768 73347714 74501856 75277917 75902112 77052144 78640848 78821424 80015688 82121364 85389876 86683662 88470954 89218272 92649744 93152592 97796952 100370556 105946698 106687584 107860896 108887328 109495152 110021571 113853168 115578216 117961272 120023532 128084814 128685024 130025493 130395936 133827408 138974616 141262264 146695428 150555834 154104288 157281696 157642848 158920047 160031376 164242728 170779752 173367324 176941908 185299488 186305184 195593904 200741112 211893396 218990304 220043142 225833751 227706336 231156432 235922544 240047064 256169628 260050986 267654816 277949232 282524528 293390856 301111668 317840094 320062752 328485456 330064713 341559504 346734648 353883816 390076479 391187808 401482224 423786792 440086284 451667502 462312864 471845088 476760141 480094128 512339256 520101972 555898464 565049056 586781712 602223336 635680188 656970912 660129426 683119008 693469296 707767632 780152958 802964448 847573584 880172568 903335004 953520282 960188256 1024678512 1040203944 1173563424 1204446672 1271360376 1320258852 1386938592 1415535264 1430280423 1560305916 1695147168 1760345136 1806670008 1907040564 2049357024 2080407888 2408893344 2542720752 2640517704 2860560846 3120611832 3520690272 3613340016 3814081128 4160815776 4290841269 5085441504 5281035408 5721121692 6241223664 7226680032 7628162256 8581682538 10562070816 11442243384 12482447328 15256324512 17163365076 22884486768 34326730152 45768973536 68653460304 137306920608
• Sum of all divisors σ(n): 513471329280
• Sum of proper divisors (its aliquot sum) s(n): 376164408672
• 137306920608 is an abundant number, because the sum of its proper divisors (376164408672) is greater than itself. Its abundance is 238857488064

Bases of 137306920608

• Binary: 1111111111000001000010101011010100000₂
• Hexadecimal: 0x1FF82156A0
• Base-36: 1R2SZU00

Squares and roots of 137306920608

• 137306920608 squared (137306920608²) is 18853190446851615089664
• 137306920608 cubed (137306920608³) is 2588673523893358756673069649395712
• The square root of 137306920608 is 370549.4846953643
• The cube root of 137306920608 is 5158.9835423469

Scales and comparisons

• 137,306,920,608 seconds is equal to 4,365 years, 48 weeks, 4 days, 11 hours, 16 minutes, 48 seconds.
• To count from 1 to 137,306,920,608 would take you about eight thousand, seven 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 137306920608 cubic inches would be around 429.9 feet tall.

Recreational maths with 137306920608

• 137306920608 backwards is 806029603731
• The number of decimal digits it has is: 12
• The sum of 137306920608's digits is 45
• More coming soon!