138135013237760

Names of 138135013237760

• Cardinal: 138135013237760 can be written as One hundred thirty-eight trillion, one hundred thirty-five billion, thirteen million, two hundred thirty-seven thousand, seven hundred sixty.

Scientific notation

• Scientific notation: 1.3813501323776 × 10¹⁴

Factors of 138135013237760

• Number of distinct prime factors ω(n): 7
• Total number of prime factors Ω(n): 16
• Sum of prime factors: 262952

Divisors of 138135013237760

• Number of divisors d(n): 704
• Complete list of divisors:
  1 2 4 5 7 8 10 11 14 16 20 22 28 31 32 35 40 43 44 55 56 62 64 70 77 80 86 88 110 112 124 128 140 154 155 160 172 176 215 217 220 224 248 256 280 301 308 310 320 341 344 352 385 430 434 440 448 473 496 512 560 602 616 620 640 682 688 704 770 860 868 880 896 946 992 1024 1085 1120 1204 1232 1240 1280 1333 1364 1376 1408 1505 1540 1705 1720 1736 1760 1792 1892 1984 2170 2240 2365 2387 2408 2464 2480 2560 2666 2728 2752 2816 3010 3080 3311 3410 3440 3472 3520 3584 3784 3968 4340 4480 4730 4774 4816 4928 4960 5120 5332 5456 5504 5632 6020 6160 6622 6665 6820 6880 6944 7040 7168 7568 7936 8680 8960 9331 9460 9548 9632 9856 9920 10664 10912 11008 11264 11935 12040 12320 13244 13330 13640 13760 13888 14080 14663 15136 15872 16555 17360 17920 18662 18920 19096 19264 19712 19840 21328 21824 22016 23870 24080 24640 26488 26660 27280 27520 27776 28160 29326 30272 31744 33110 34720 35840 37324 37840 38192 38528 39424 39680 42656 43648 44032 46655 47740 48160 49280 52976 53320 54560 55040 55552 56320 58652 60544 66220 69440 73315 74648 75680 76384 77056 78848 79360 85312 87296 93310 95480 96320 98560 102641 105952 106640 109120 110080 111104 117304 121088 132440 138880 146630 149296 151360 152768 154112 158720 170624 174592 186620 190960 192640 197120 205282 211904 213280 218240 220160 222208 234608 242176 262853 264880 277760 293260 298592 302720 305536 308224 341248 349184 373240 381920 385280 394240 410564 423808 426560 436480 469216 484352 513205 525706 529760 555520 586520 597184 605440 611072 682496 746480 763840 770560 821128 847616 853120 872960 938432 1026410 1051412 1059520 1111040 1173040 1194368 1210880 1222144 1314265 1364992 1492960 1527680 1541120 1642256 1695232 1706240 1745920 1839971 1876864 2052820 2102824 2119040 2346080 2388736 2421760 2444288 2628530 2891383 2985920 3055360 3284512 3390464 3412480 3679942 3753728 4105640 4205648 4238080 4692160 4777472 5257060 5782766 5971840 6110720 6569024 6824960 7359884 7507456 8148443 8211280 8411296 8476160 9199855 9384320 9554944 10514120 11302679 11565532 11943680 12221440 13138048 14456915 14719768 15014912 16296886 16422560 16822592 16952320 18399710 18768640 20239681 21028240 22605358 23131064 23887360 26276096 28913830 29439536 32593772 32845120 33645184 36799420 37537280 40479362 40742215 42056480 45210716 46262128 47774720 52552192 56513395 57039101 57827660 58879072 65187544 65690240 67290368 73598840 75074560 79118753 80958724 81484430 84112960 89632873 90421432 92524256 101198405 105104384 113026790 114078202 115655320 117758144 124329469 130375088 131380480 134580736 147197680 158237506 161917448 162968860 168225920 179265746 180842864 185048512 202396810 226053580 228156404 231310640 235516288 248658938 260750176 262760960 269161472 285195505 294395360 316475012 323834896 325937720 336451840 350383049 358531492 361685728 370097024 395593765 404793620 448164365 452107160 456312808 462621280 471032576 497317876 521500352 525521920 570391010 588790720 621647345 627430111 632950024 647669792 651875440 672903680 700766098 717062984 723371456 740194048 791187530 809587240 870306283 896328730 904214320 912625616 925242560 942065152 994635752 1043000704 1140782020 1177581440 1243294690 1254860222 1265900048 1295339584 1303750880 1345807360 1401532196 1434125968 1446742912 1480388096 1582375060 1619174480 1740612566 1751915245 1792657460 1808428640 1825251232 1850485120 1884130304 1989271504 2086001408 2281564040 2355162880 2452681343 2486589380 2509720444 2531800096 2590679168 2607501760 2803064392 2868251936 2893485824 2960776192 3137150555 3164750120 3238348960 3481225132 3503830490 3585314920 3616857280 3650502464 3700970240 3854213539 3978543008 4172002816 4351531415 4563128080 4710325760 4905362686 4973178760 5019440888 5063600192 5181358336 5215003520 5606128784 5736503872 5786971648 6274301110 6329500240 6476697920 6962450264 7007660980 7170629840 7233714560 7301004928 7401940480 7708427078 7957086016 8344005632 8703062830 9126256160 9420651520 9810725372 9946357520 10038881776 10127200384 10362716672 10430007040 11212257568 11473007744 11573943296 12263406715 12548602220 12659000480 12953395840 13924900528 14015321960 14341259680 14467429120 14602009856 14803880960 15416854156 15914172032 17406125660 18252512320 19271067695 19621450744 19892715040 20077763552 20254400768 20725433344 20860014080 22424515136 22946015488 24526813430 25097204440 25318000960 25906791680 26979494773 27849801056 28030643920 28682519360 28934858240 29204019712 30833708312 31828344064 34812251320 36505024640 38542135390 39242901488 39785430080 40155527104 40508801536 41720028160 44849030272 45892030976 49053626860 50194408880 50636001920 51813583360 53958989546 55699602112 56061287840 57365038720 57869716480 58408039424 61667416624 63656688128 69624502640 73010049280 77084270780 78485802976 79570860160 80311054208 81017603072 89698060544 91784061952 98107253720 100388817760 101272003840 103627166720 107917979092 111399204224 112122575680 114730077440 123334833248 127313376256 134897473865 139249005280 146020098560 154168541560 156971605952 159141720320 160622108416 179396121088 196214507440 200777635520 202544007680 215835958184 222798408448 224245151360 229460154880 246669666496 269794947730 278498010560 292040197120 308337083120 313943211904 318283440640 321244216832 358792242176 392429014880 401555271040 405088015360 431671916368 445596816896 448490302720 458920309760 493339332992 539589895460 556996021120 616674166240 627886423808 636566881280 642488433664 784858029760 803110542080 863343832736 891193633792 896980605440 986678665984 1079179790920 1113992042240 1233348332480 1255772847616 1569716059520 1606221084160 1726687665472 1793961210880 1973357331968 2158359581840 2227984084480 2466696664960 2511545695232 3139432119040 3212442168320 3453375330944 3946714663936 4316719163680 4455968168960 4933393329920 6278864238080 6906750661888 8633438327360 9866786659840 12557728476160 13813501323776 17266876654720 19733573319680 27627002647552 34533753309440 69067506618880 138135013237760
• Sum of all divisors σ(n): 436372698415104
• Sum of proper divisors (its aliquot sum) s(n): 298237685177344
• 138135013237760 is an abundant number, because the sum of its proper divisors (298237685177344) is greater than itself. Its abundance is 160102671939584

Bases of 138135013237760

• Binary: 11111011010001000010000011001010010010000000000₂
• Hexadecimal: 0x7DA210652400
• Base-36: 1CYQCKCAGW

Squares and roots of 138135013237760

• 138135013237760 squared (138135013237760²) is 19081281882196130438289817600
• 138135013237760 cubed (138135013237760³) is 2635793125390592526953811624951415832576000
• The square root of 138135013237760 is 11753085.2646341335
• The cube root of 138135013237760 is 51693.3397131831

Scales and comparisons

• 138,135,013,237,760 seconds is equal to 4,392,266 years, 7 weeks, 2 days, 10 hours, 29 minutes, 20 seconds.
• To count from 1 to 138,135,013,237,760 would take you about ten million, nine hundred eighty thousand, six hundred sixty-five 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 138135013237760 cubic inches would be around 4307.8 feet tall.

Recreational maths with 138135013237760

• 138135013237760 backwards is 067732310531831
• The number of decimal digits it has is: 15
• The sum of 138135013237760's digits is 50
• More coming soon!