137857940064

Names of 137857940064

• Cardinal: 137857940064 can be written as One hundred thirty-seven billion, eight hundred fifty-seven million, nine hundred forty thousand and sixty-four.

Scientific notation

• Scientific notation: 1.37857940064 × 10¹¹

Factors of 137857940064

• Number of distinct prime factors ω(n): 7
• Total number of prime factors Ω(n): 14
• Sum of prime factors: 170

Divisors of 137857940064

• Number of divisors d(n): 1152
• Complete list of divisors:
  1 2 3 4 6 8 9 12 13 16 17 18 19 24 26 27 32 34 36 37 38 39 48 51 52 54 57 68 72 74 76 78 79 96 102 104 108 111 114 117 136 144 148 152 153 156 158 169 171 204 208 216 221 222 228 234 237 247 272 288 296 304 306 312 316 323 333 338 342 351 408 416 432 442 444 456 459 468 474 481 494 507 513 544 592 608 612 624 629 632 646 663 666 676 684 702 703 711 741 816 864 884 888 912 918 936 948 962 969 988 999 1014 1026 1027 1184 1224 1248 1258 1264 1292 1326 1332 1343 1352 1368 1404 1406 1422 1443 1482 1501 1521 1632 1768 1776 1824 1836 1872 1887 1896 1924 1938 1976 1989 1998 2028 2052 2054 2109 2133 2223 2448 2516 2528 2584 2652 2664 2686 2704 2736 2808 2812 2844 2873 2886 2907 2923 2964 3002 3042 3081 3211 3536 3552 3672 3744 3774 3792 3848 3876 3952 3978 3996 4029 4056 4104 4108 4199 4218 4266 4329 4446 4503 4563 4896 5032 5168 5304 5328 5372 5408 5472 5616 5624 5661 5688 5746 5772 5814 5846 5928 5967 6004 6084 6162 6253 6327 6422 6669 7072 7344 7548 7584 7696 7752 7904 7956 7992 8058 8112 8177 8208 8216 8398 8436 8532 8619 8658 8721 8769 8892 9006 9126 9139 9243 9633 10064 10336 10608 10656 10744 11232 11248 11322 11376 11492 11544 11628 11692 11856 11934 11951 12008 12087 12168 12324 12506 12597 12654 12844 12987 13338 13351 13509 14688 15096 15392 15504 15912 15984 16116 16224 16354 16416 16432 16796 16872 16983 17064 17238 17316 17442 17459 17538 17784 18012 18252 18278 18486 18759 18981 19266 19513 20128 21216 21488 22496 22644 22752 22984 23088 23256 23384 23712 23868 23902 24016 24174 24336 24531 24648 25012 25194 25308 25517 25688 25857 25974 26307 26676 26702 27018 27417 27729 28899 30192 31008 31824 31968 32232 32708 32864 33592 33744 33966 34128 34476 34632 34884 34918 35076 35568 35853 36024 36261 36504 36556 36972 37518 37791 37962 37999 38532 39026 40053 40527 42976 45288 45968 46176 46512 46768 47736 47804 48032 48348 48672 49062 49296 49691 50024 50388 50616 51034 51376 51714 51948 52377 52614 53352 53404 54036 54587 54834 55458 55537 56277 57798 58539 60384 63648 64464 65416 67184 67488 67932 68256 68952 69264 69768 69836 70152 71136 71706 72048 72522 73008 73112 73593 73944 75036 75582 75924 75998 76551 77064 77571 78052 78921 80106 81054 82251 86697 90576 91936 93024 93536 95472 95608 96696 98124 98592 99382 100048 100776 101232 102068 102752 103428 103896 104754 105228 106301 106704 106808 107559 108072 109174 109668 110916 111074 112554 113373 113997 115596 117078 118807 120159 128928 130832 134368 135864 137904 138528 139536 139672 140304 143412 144096 145044 146016 146224 147186 147888 149073 150072 151164 151848 151996 153102 154128 155142 155363 156104 157131 157842 160212 162108 163761 164502 166611 168831 173394 175617 181152 190944 191216 193392 196248 198764 200096 201552 202464 204136 206856 207792 209508 210456 212602 213408 213616 215118 216144 218348 219336 220779 221832 222148 225108 226746 226967 227994 229653 231192 234156 237614 240318 246753 253669 261664 271728 275808 279072 279344 280608 286824 290088 292448 294372 295776 298146 300144 302328 303696 303992 306204 308256 310284 310726 312208 314262 315684 318903 320424 322677 324216 327522 329004 331721 333222 337662 341991 346788 351234 356421 360477 382432 386784 392496 397528 403104 408272 413712 415584 419016 420912 425204 427232 430236 432288 436696 438672 441558 443664 444296 447219 450216 453492 453934 455988 459306 462384 466089 468312 471393 475228 480636 491283 493506 493987 499833 507338 526851 543456 558688 573648 580176 588744 596292 600288 604656 607392 607984 612408 620568 621452 624416 628524 631368 637806 640848 645354 645983 648432 655044 658008 663442 666444 675324 680901 683982 688959 693576 702468 712842 720954 721981 761007 784992 795056 816544 827424 838032 841824 850408 860472 873392 877344 883116 887328 888592 894438 900432 906984 907868 911976 918612 924768 932178 936624 942786 944129 950456 956709 961272 982566 987012 987974 995163 999666 1014676 1025973 1053702 1069263 1147296 1160352 1177488 1192584 1209312 1215968 1224816 1241136 1242904 1257048 1262736 1275612 1281696 1290708 1291966 1296864 1310088 1316016 1326884 1332888 1341657 1350648 1361802 1367964 1377918 1387152 1398267 1404936 1425684 1441908 1443962 1473849 1481961 1499499 1522014 1590112 1676064 1700816 1720944 1746784 1766232 1777184 1788876 1800864 1813968 1815736 1823952 1837224 1864356 1873248 1885572 1888258 1900912 1913418 1922544 1937949 1965132 1974024 1975948 1990326 1999332 2019719 2029352 2042703 2051946 2107404 2138526 2165943 2283021 2354976 2385168 2449632 2482272 2485808 2514096 2525472 2551224 2581416 2583932 2620176 2632032 2653768 2665776 2683314 2701296 2723604 2735928 2755836 2774304 2796534 2809872 2832387 2851368 2870127 2883816 2887924 2947698 2963922 2985489 2998998 3044028 3207789 3401632 3441888 3532464 3577752 3627936 3631472 3647904 3674448 3728712 3771144 3776516 3801824 3826836 3845088 3875898 3930264 3948048 3951896 3980652 3998664 4039438 4058704 4085406 4103892 4194801 4214808 4277052 4312373 4331886 4445883 4566042 4770336 4971616 5028192 5102448 5162832 5167864 5240352 5307536 5331552 5366628 5402592 5447208 5471856 5511672 5593068 5619744 5664774 5702736 5740254 5767632 5775848 5813847 5895396 5927844 5970978 5997996 6059157 6088056 6128109 6415578 6497829 6849063 7064928 7155504 7262944 7348896 7457424 7542288 7553032 7653672 7751796 7860528 7896096 7903792 7961304 7997328 8078876 8117408 8170812 8207784 8389602 8397779 8429616 8497161 8554104 8624746 8663772 8891766 8956467 9132084 9385753 10204896 10325664 10335728 10615072 10733256 10894416 10943712 11023344 11186136 11329548 11405472 11480508 11535264 11551696 11627694 11790792 11855688 11941956 11995992 12118314 12176112 12256218 12273677 12831156 12937119 12995658 13337649 13698126 14311008 14914848 15084576 15106064 15307344 15503592 15721056 15807584 15922608 15994656 16157752 16341624 16415568 16779204 16795558 16859232 16994322 17108208 17249492 17327544 17441541 17783532 17912934 18177471 18264168 18771506 19493487 20671456 21466512 21788832 22046688 22372272 22659096 22961016 23103392 23255388 23581584 23711376 23883912 23991984 24236628 24352224 24512436 24547354 25193337 25491483 25662312 25874238 25991316 26675298 27396252 28157259 30212128 30614688 31007184 31845216 32315504 32683248 32831136 33558408 33591116 33988644 34216416 34498984 34655088 34883082 35567064 35825868 36354942 36528336 36821031 37543012 38811357 38986974 42933024 44744544 45318192 45922032 46510776 47163168 47422752 47767824 47983968 48473256 49024872 49094708 50386674 50982966 51324624 51748476 51982632 53350596 54532413 54792504 56314518 62014368 64631008 65366496 67116816 67182232 67977288 68997968 69310176 69766164 71134128 71651736 72709884 73056672 73642062 75086024 75580011 77622714 77973948 84471777 90636384 91844064 93021552 95535648 96946512 98049744 98189416 100773348 101965932 102649248 103496952 103965264 106701192 109064826 109585008 110463093 112629036 116434071 134233632 134364464 135954576 137995936 139532328 142268256 143303472 145419768 147284124 150172048 151160022 155245428 155947896 159557801 168943554 186043104 193893024 196099488 196378832 201546696 203931864 206993904 207930528 213402384 218129652 219170016 220926186 225258072 226740033 232868142 253415331 268728928 271909152 279064656 286606944 290839536 294568248 300344096 302320044 310490856 311895792 319115602 331389279 337887108 392757664 403093392 407863728 413987808 426804768 436259304 441852372 450516144 453480066 465736284 478673403 506830662 558129312 581679072 589136496 604640088 620981712 623791584 638231204 662778558 675774216 806186784 815727456 872518608 883704744 901032288 906960132 931472568 957346806 1013661324 1178272992 1209280176 1241963424 1276462408 1325557116 1351548432 1436020209 1745037216 1767409488 1813920264 1862945136 1914693612 2027322648 2418560352 2552924816 2651114232 2703096864 2872040418 3534818976 3627840528 3725890272 3829387224 4054645296 4308060627 5105849632 5302228464 5744080836 7255681056 7658774448 8109290592 8616121254 10604456928 11488161672 15317548896 17232242508 22976323344 34464485016 45952646688 68928970032 137857940064
• Sum of all divisors σ(n): 504693504000
• Sum of proper divisors (its aliquot sum) s(n): 366835563936
• 137857940064 is an abundant number, because the sum of its proper divisors (366835563936) is greater than itself. Its abundance is 228977623872

Bases of 137857940064

• Binary: 10000000011000111110010011101001100000₂
• Hexadecimal: 0x2018F93A60
• Base-36: 1RBX23C0

Squares and roots of 137857940064

• 137857940064 squared (137857940064²) is 19004811638689416324096
• 137857940064 cubed (137857940064³) is 2619964183814055179118369566982144
• The square root of 137857940064 is 371292.2569405401
• The cube root of 137857940064 is 5165.8754166855

Scales and comparisons

• 137,857,940,064 seconds is equal to 4,383 years, 23 weeks, 5 days, 14 minutes, 24 seconds.
• To count from 1 to 137,857,940,064 would take you about eight thousand, seven hundred sixty-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 137857940064 cubic inches would be around 430.5 feet tall.

Recreational maths with 137857940064

• 137857940064 backwards is 460049758731
• 137857940064 is a Harshad number.
• The number of decimal digits it has is: 12
• The sum of 137857940064's digits is 54
• More coming soon!