137963891520

Names of 137963891520

• Cardinal: 137963891520 can be written as One hundred thirty-seven billion, nine hundred sixty-three million, eight hundred ninety-one thousand, five hundred twenty.

Scientific notation

• Scientific notation: 1.3796389152 × 10¹¹

Factors of 137963891520

• Number of distinct prime factors ω(n): 7
• Total number of prime factors Ω(n): 17
• Sum of prime factors: 194

Divisors of 137963891520

• Number of divisors d(n): 1568
• Complete list of divisors:
  1 2 3 4 5 6 7 8 9 10 12 13 14 15 16 18 20 21 24 26 27 28 30 32 35 36 39 40 42 45 48 52 54 56 60 63 64 65 67 70 72 78 80 81 84 90 91 96 97 104 105 108 112 117 120 126 130 134 135 140 144 156 160 162 168 180 182 189 192 194 195 201 208 210 216 224 234 240 243 252 260 268 270 273 280 288 291 312 315 320 324 335 336 351 360 364 378 388 390 402 405 416 420 432 448 455 468 469 480 485 486 504 520 536 540 546 560 567 576 582 585 603 624 630 648 670 672 679 702 720 728 729 756 776 780 804 810 819 832 840 864 871 873 910 936 938 945 960 970 972 1005 1008 1040 1053 1072 1080 1092 1120 1134 1164 1170 1206 1215 1248 1260 1261 1296 1340 1344 1358 1365 1404 1407 1440 1455 1456 1458 1512 1552 1560 1608 1620 1638 1680 1701 1728 1742 1746 1755 1809 1820 1872 1876 1890 1940 1944 2010 2016 2037 2080 2106 2144 2160 2184 2240 2268 2328 2340 2345 2412 2430 2457 2496 2520 2522 2592 2613 2619 2680 2716 2730 2808 2814 2835 2880 2910 2912 2916 3015 3024 3104 3120 3159 3216 3240 3276 3360 3395 3402 3484 3492 3510 3618 3640 3645 3744 3752 3780 3783 3880 3888 4020 4032 4074 4095 4160 4212 4221 4288 4320 4355 4365 4368 4536 4656 4680 4690 4824 4860 4914 5040 5044 5103 5184 5226 5238 5265 5360 5427 5432 5460 5616 5628 5670 5820 5824 5832 6030 6048 6097 6111 6208 6240 6305 6318 6432 6480 6499 6552 6720 6790 6804 6968 6984 7020 7035 7236 7280 7290 7371 7488 7504 7560 7566 7760 7776 7839 7857 8040 8148 8190 8424 8442 8505 8640 8710 8730 8736 8827 9045 9072 9312 9360 9380 9477 9648 9720 9828 10080 10088 10185 10206 10452 10476 10530 10720 10854 10864 10920 11232 11256 11340 11349 11640 11664 12060 12096 12194 12222 12285 12480 12610 12636 12663 12864 12960 12998 13065 13095 13104 13580 13608 13936 13968 14040 14070 14472 14560 14580 14742 15008 15120 15132 15520 15552 15678 15714 15795 16080 16281 16296 16380 16848 16884 17010 17420 17460 17472 17654 18090 18144 18291 18333 18624 18720 18760 18915 18954 19296 19440 19497 19656 20160 20176 20370 20412 20904 20952 21060 21105 21440 21708 21728 21840 22113 22464 22512 22680 22698 23280 23328 23517 23571 24120 24388 24444 24570 25220 25272 25326 25515 25920 25996 26130 26190 26208 26481 27135 27160 27216 27872 27936 28080 28140 28944 29120 29160 29484 30016 30240 30264 30485 30555 31040 31356 31428 31590 32160 32495 32562 32592 32760 33696 33768 34020 34047 34840 34920 35308 36180 36288 36582 36666 36855 37440 37520 37830 37908 37989 38592 38880 38994 39195 39285 39312 40352 40740 40824 41808 41904 42120 42210 43416 43456 43680 44135 44226 45024 45360 45396 45493 46560 46656 47034 47142 47385 48240 48776 48843 48888 49140 50440 50544 50652 51030 51992 52260 52380 52416 52962 54270 54320 54432 54873 54999 55744 55872 56160 56280 56745 57888 58320 58491 58968 60480 60528 60970 61110 62712 62856 63180 63315 64320 64990 65124 65184 65520 66339 67392 67536 68040 68094 69680 69840 70551 70616 70713 72360 73164 73332 73710 75040 75660 75816 75978 77760 77988 78390 78570 78624 79443 80704 81405 81480 81648 83616 83808 84240 84420 84487 86832 87360 88270 88452 90048 90720 90792 90986 91455 91665 93120 94068 94284 94770 96480 97485 97552 97686 97776 98280 100880 101088 101304 102060 102141 103984 104520 104760 105924 108540 108640 108864 109746 109998 110565 112320 112560 113490 113967 115776 116640 116982 117585 117855 117936 121056 121940 122220 125424 125712 126360 126630 129980 130248 130368 131040 132405 132678 135072 136080 136188 136479 139360 139680 141102 141232 141426 144720 146328 146664 147420 150080 151320 151632 151956 155976 156780 157140 157248 158886 162810 162960 163296 164619 164997 167232 167616 168480 168840 168974 170235 173664 175473 176540 176904 181440 181584 181972 182910 183330 188136 188568 189540 189945 192960 194970 195104 195372 195552 196560 201760 202176 202608 204120 204282 207968 209040 209520 211653 211848 217080 217280 219492 219996 221130 225120 226980 227465 227934 233280 233964 235170 235710 235872 238329 242112 243880 244215 244440 250848 251424 252720 253260 253461 259960 260496 262080 264810 265356 270144 272160 272376 272958 274365 274995 278720 279360 282204 282464 282852 289440 292455 292656 293328 294840 302640 303264 303912 306423 311952 313560 314280 317772 325620 325920 326592 329238 329994 331695 336960 337680 337948 340470 341901 347328 350946 352755 353080 353565 353808 363168 363944 365820 366660 376272 377136 379080 379890 389940 390208 390744 391104 393120 397215 403520 405216 408240 408564 409437 415936 418080 419040 422435 423306 423696 434160 438984 439992 442260 450240 453960 454930 455868 467928 470340 471420 471744 476658 487760 488430 488880 493857 494991 501696 502848 505440 506520 506922 510705 519920 520992 526419 529620 530712 544320 544752 545916 548730 549990 564408 564928 565704 569835 578880 584910 585312 586656 589680 591409 605280 606528 607824 612846 623904 627120 628560 634959 635544 651240 651840 658476 659988 663390 675360 675896 680940 682395 683802 701892 705510 706160 707130 707616 714987 726336 727888 731640 733320 752544 754272 758160 759780 760383 779880 781488 786240 794430 810432 816480 817128 818874 823095 824985 836160 838080 844870 846612 847392 868320 877365 877968 879984 884520 907920 909860 911736 919269 935856 940680 942840 953316 975520 976860 977760 987714 989982 1010880 1013040 1013844 1021410 1039840 1041984 1052838 1058265 1059240 1061424 1089504 1091832 1097460 1099980 1128816 1131408 1139670 1169820 1170624 1173312 1179360 1182818 1191645 1210560 1215648 1225692 1228311 1247808 1254240 1257120 1267305 1269918 1271088 1302480 1316952 1319976 1326780 1350720 1351792 1361880 1364790 1367604 1403784 1411020 1412320 1414260 1415232 1429974 1455776 1463280 1466640 1481571 1505088 1508544 1516320 1519560 1520766 1532115 1559760 1562976 1579257 1588860 1632960 1634256 1637748 1646190 1649970 1689740 1693224 1694784 1709505 1736640 1754730 1755936 1759968 1769040 1774227 1815840 1819720 1823472 1838538 1871712 1881360 1885680 1906632 1951040 1953720 1955520 1975428 1979964 2026080 2027688 2042820 2047185 2079680 2105676 2116530 2118480 2122848 2144961 2179008 2183664 2194920 2199960 2257632 2262816 2279340 2281149 2339640 2358720 2365636 2383290 2431296 2451384 2456622 2469285 2474955 2508480 2514240 2534610 2539836 2542176 2604960 2632095 2633904 2639952 2653560 2703584 2723760 2729580 2735208 2807568 2822040 2824640 2828520 2859948 2911552 2926560 2933280 2957045 2963142 3032640 3039120 3041532 3064230 3119520 3125952 3158514 3174795 3177720 3268512 3275496 3292380 3299940 3379480 3386448 3419010 3509460 3511872 3519936 3538080 3548454 3574935 3631680 3639440 3646944 3677076 3684933 3743424 3762720 3771360 3801915 3813264 3907440 3950856 3959928 4052160 4055376 4085640 4094370 4211352 4233060 4236960 4245696 4289922 4367328 4389840 4399920 4444713 4515264 4525632 4558680 4562298 4596345 4679280 4731272 4737771 4766580 4902768 4913244 4938570 4949910 5069220 5079672 5084352 5209920 5264190 5267808 5279904 5307120 5322681 5407168 5447520 5459160 5470416 5615136 5644080 5657040 5719896 5853120 5866560 5914090 5926284 6078240 6083064 6128460 6141555 6239040 6317028 6349590 6355440 6434883 6537024 6550992 6584760 6599880 6758960 6772896 6838020 6843447 7018920 7076160 7096908 7149870 7278880 7293888 7354152 7369866 7407855 7525440 7542720 7603830 7626528 7814880 7896285 7901712 7919856 8110752 8171280 8188740 8422704 8466120 8473920 8579844 8734656 8779680 8799840 8871135 8889426 9117360 9124596 9192690 9358560 9462544 9475542 9533160 9805536 9826488 9877140 9899820 10138440 10159344 10528380 10535616 10559808 10614240 10645362 10724805 10895040 10918320 10940832 11054799 11230272 11288160 11314080 11405745 11439792 11828180 11852568 12156480 12166128 12256920 12283110 12634056 12699180 12710880 12869766 13101984 13169520 13199760 13517920 13545792 13676040 13686894 14037840 14193816 14299740 14557760 14708304 14739732 14815710 15207660 15253056 15629760 15792570 15803424 15839712 15968043 16221504 16342560 16377480 16845408 16932240 17159688 17559360 17599680 17742270 17778852 18234720 18249192 18385380 18424665 18717120 18925088 18951084 19066320 19611072 19652976 19754280 19799640 20276880 20318688 20530341 21056760 21228480 21290724 21449610 21836640 21881664 22109598 22223565 22576320 22628160 22811490 22879584 23656360 23688855 23705136 24332256 24513840 24566220 25268112 25398360 25421760 25739532 26203968 26339040 26399520 26613405 27035840 27352080 27373788 28075680 28387632 28599480 29416608 29479464 29631420 30415320 31585140 31606848 31679424 31936086 32174415 32685120 32754960 33164397 33690816 33864480 34217235 34319376 35484540 35557704 36469440 36498384 36770760 36849330 37850176 37902168 38132640 39305952 39508560 39599280 40553760 40637376 41060682 42113520 42581448 42899220 43673280 44219196 44447130 45622980 45759168 47312720 47377710 47410272 47904129 48664512 49027680 49132440 50536224 50796720 51479064 52678080 52799040 53226810 54704160 54747576 55273995 56151360 56775264 57198960 58833216 58958928 59262840 60830640 61591023 63170280 63872172 64348830 65509920 66328794 67728960 68434470 68638752 70969080 71115408 72996768 73541520 73698660 75804336 76265280 78611904 79017120 79198560 79840215 81107520 82121364 84227040 85162896 85798440 88438392 88894260 91245960 94625440 94755420 94820544 95808258 98055360 98264880 101072448 101593440 102651705 102958128 106453620 109408320 109495152 110547990 113550528 114397920 117917856 118525680 121661280 123182046 126340560 127744344 128697660 131019840 132657588 136868940 137277504 141938160 142230816 143712387 145993536 147083040 147397320 151608672 158034240 158397120 159680430 164242728 165821985 168454080 170325792 171596880 176876784 177788520 182491920 189250880 189510840 191616516 196529760 203186880 205303410 205916256 212907240 218990304 221095980 228795840 235835712 237051360 239520645 243322560 246364092 252681120 255488688 257395320 265315176 273737880 283876320 284461632 287424774 294166080 294794640 303217344 307955115 319360860 328485456 331643970 340651584 343193760 353753568 355577040 364983840 379021680 383233032 393059520 410606820 411832512 425814480 431137161 437980608 442191960 474102720 479041290 492728184 505362240 510977376 514790640 530630352 547475760 567752640 574849548 589589280 615910230 638721720 656970912 663287940 686387520 707507136 711154080 718561935 729967680 758043360 766466064 821213640 851628960 862274322 884383920 958082580 985456368 1021954752 1029581280 1061260704 1094951520 1149699096 1179178560 1231820460 1277443440 1313941824 1326575880 1422308160 1437123870 1516086720 1532932128 1642427280 1703257920 1724548644 1768767840 1916165160 1970912736 2059162560 2122521408 2155685805 2189903040 2299398192 2463640920 2554886880 2653151760 2874247740 3065864256 3284854560 3449097288 3537535680 3832330320 3941825472 4311371610 4598796384 4927281840 5109773760 5306303520 5748495480 6569709120 6898194576 7664660640 8622743220 9197592768 9854563680 10612607040 11496990960 13796389152 15329321280 17245486440 19709127360 22993981920 27592778304 34490972880 45987963840 68981945760 137963891520
• Sum of all divisors σ(n): 621624530688
• Sum of proper divisors (its aliquot sum) s(n): 483660639168
• 137963891520 is an abundant number, because the sum of its proper divisors (483660639168) is greater than itself. Its abundance is 345696747648

Bases of 137963891520

• Binary: 10000000011111010010011110101101000000₂
• Hexadecimal: 0x201F49EB40
• Base-36: 1RDO5000

Squares and roots of 137963891520

• 137963891520 squared (137963891520²) is 19034035363342327910400
• 137963891520 cubed (137963891520³) is 2626009590056004712454693879808000
• The square root of 137963891520 is 371434.9088602201
• The cube root of 137963891520 is 5167.1984981687

Scales and comparisons

• 137,963,891,520 seconds is equal to 4,386 years, 42 weeks, 6 days, 7 hours, 12 minutes.
• To count from 1 to 137,963,891,520 would take you about eight thousand, seven hundred seventy-three 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 137963891520 cubic inches would be around 430.6 feet tall.

Recreational maths with 137963891520

• 137963891520 backwards is 025198369731
• 137963891520 is a Harshad number.
• The number of decimal digits it has is: 12
• The sum of 137963891520's digits is 54
• More coming soon!