138937374576

Names of 138937374576

• Cardinal: 138937374576 can be written as One hundred thirty-eight billion, nine hundred thirty-seven million, three hundred seventy-four thousand, five hundred seventy-six.

Scientific notation

• Scientific notation: 1.38937374576 × 10¹¹

Factors of 138937374576

• Number of distinct prime factors ω(n): 7
• Total number of prime factors Ω(n): 14
• Sum of prime factors: 198

Divisors of 138937374576

• Number of divisors d(n): 1280
• Complete list of divisors:
  1 2 3 4 6 7 8 9 11 12 13 14 16 18 21 22 24 26 27 28 33 36 39 42 44 48 49 52 54 56 63 66 72 77 78 79 83 84 88 91 98 99 104 108 112 117 126 132 143 144 147 154 156 158 166 168 176 182 189 196 198 208 216 231 234 237 249 252 264 273 286 294 297 308 312 316 332 336 343 351 364 378 392 396 429 432 441 462 468 474 498 504 528 539 546 553 572 581 588 594 616 624 632 637 664 686 693 702 711 728 747 756 784 792 819 858 869 882 913 924 936 948 996 1001 1008 1027 1029 1078 1079 1092 1106 1144 1162 1176 1188 1232 1264 1274 1287 1323 1328 1372 1386 1404 1422 1456 1494 1512 1584 1617 1638 1659 1716 1738 1743 1764 1826 1848 1872 1896 1911 1992 2002 2054 2058 2079 2133 2156 2158 2184 2212 2241 2288 2324 2352 2376 2457 2548 2574 2607 2646 2739 2744 2772 2808 2844 2988 3003 3024 3081 3087 3234 3237 3276 3318 3432 3476 3486 3528 3652 3696 3773 3792 3822 3861 3871 3984 4004 4067 4108 4116 4158 4266 4312 4316 4368 4424 4459 4482 4648 4752 4851 4914 4977 5096 5148 5214 5229 5292 5478 5488 5544 5616 5688 5733 5976 6006 6083 6162 6174 6391 6468 6474 6552 6557 6636 6864 6952 6972 7007 7056 7189 7304 7546 7553 7644 7722 7742 7821 8008 8134 8216 8217 8232 8316 8532 8624 8632 8848 8918 8964 9009 9243 9261 9296 9702 9711 9828 9954 10192 10296 10428 10458 10584 10956 11088 11297 11319 11376 11466 11613 11869 11952 12012 12166 12201 12324 12348 12782 12936 12948 13104 13114 13272 13377 13904 13944 14014 14378 14553 14608 14931 15092 15106 15288 15444 15484 15642 15687 16016 16268 16432 16434 16464 16632 17064 17199 17264 17836 17928 18018 18249 18486 18522 19173 19404 19422 19656 19671 19908 20592 20856 20916 21021 21168 21567 21912 22594 22638 22659 22932 23226 23463 23738 24024 24332 24402 24648 24651 24696 25564 25872 25896 26228 26544 26754 27027 27097 27729 27888 28028 28469 28756 29106 29133 29862 30184 30212 30576 30888 30968 31284 31374 32536 32868 33264 33891 33957 34128 34398 34839 35607 35672 35856 36036 36498 36603 36972 37044 38346 38808 38844 39312 39342 39816 40131 41712 41832 42042 42581 43134 43824 44737 45188 45276 45318 45864 45899 46452 46926 47476 48048 48664 48804 49049 49296 49302 49392 50323 51128 51792 52456 52871 53508 54054 54194 54747 55458 56056 56938 57512 57519 58212 58266 59013 59724 60368 60424 61776 61936 62568 62748 63063 64701 65072 65736 67782 67914 67977 68796 69678 71214 71344 72072 72127 72996 73206 73944 74088 76692 77616 77688 78684 79079 79632 80262 81291 83083 83664 84084 85162 85241 85407 86268 89474 90376 90552 90636 91728 91798 92904 93852 94952 97328 97608 98098 98604 100646 101673 101871 102256 104517 104912 105742 106821 107016 108108 108388 109494 109809 110916 112112 113876 115024 115038 116424 116532 118026 119448 120393 120848 125136 125496 126126 127743 129402 131472 134211 135564 135828 135954 137592 137697 139356 142428 144144 144254 145992 146412 147147 147888 148176 150969 153384 155376 157368 158158 158613 160524 162582 164241 166166 168168 170324 170482 170814 172536 172557 177039 178948 180752 181104 181272 183596 185808 187704 189189 189904 194103 195216 196196 197208 201292 203346 203742 203931 209034 211484 213642 214032 216216 216381 216776 218988 219618 221832 227752 230076 232848 233064 236052 237237 238896 240786 243873 249249 250992 252252 255486 255723 256221 258804 268422 271128 271656 271908 275184 275394 278712 284856 288508 291984 292824 294294 298067 301938 305019 306768 313159 314736 316316 317226 320463 321048 321293 325164 328482 332332 336336 340648 340964 341628 345072 345114 352261 354078 357896 362544 367192 370097 375408 378378 383229 388206 392392 394416 402584 402633 406692 407484 407862 413091 418068 422968 427284 432432 432762 433552 437976 439236 441441 443664 452907 455504 460152 466128 472104 474474 475839 481572 487746 498498 504504 504889 510972 511446 512442 517608 536844 542256 543312 543816 550788 553553 557424 569712 577016 581581 585648 588588 596134 596687 603876 610038 626318 632632 634452 640926 642096 642586 649143 650328 656964 664664 681296 681928 683256 690228 704522 708156 711711 715792 731619 734384 740194 747747 756756 766458 767169 768663 776412 784784 805168 805266 813384 814968 815724 826182 836136 845936 854568 865524 875952 878472 882882 894201 905814 920304 937651 939477 944208 948948 951678 963144 963879 975492 996996 1009008 1009778 1021944 1022892 1024884 1035216 1056783 1073688 1087632 1101576 1107106 1110291 1149687 1154032 1163162 1177176 1192268 1193374 1207752 1207899 1220076 1239273 1252636 1265264 1268904 1281852 1285172 1298286 1300656 1313928 1324323 1329328 1358721 1363856 1366512 1380456 1409044 1416312 1423422 1427517 1463238 1480388 1495494 1513512 1514667 1532916 1534338 1537326 1552824 1610532 1626768 1629936 1631448 1652364 1660659 1672272 1709136 1731048 1744743 1756944 1765764 1788402 1790061 1811628 1875302 1878954 1897896 1903356 1926288 1927758 1947429 1950984 1993992 2019556 2043888 2045784 2049768 2113566 2135133 2147376 2203152 2214212 2220582 2243241 2249051 2299374 2301507 2326324 2354352 2384536 2386748 2415504 2415798 2440152 2478546 2505272 2537808 2563704 2570344 2596572 2627856 2648646 2682603 2717442 2760912 2812953 2818088 2818431 2832624 2846844 2855034 2891637 2926476 2960776 2990988 3027024 3029334 3065832 3068676 3074652 3105648 3170349 3221064 3262896 3304728 3321318 3330873 3462096 3489486 3531528 3534223 3576804 3580122 3623256 3750604 3757908 3795792 3806712 3855516 3874871 3894858 3901968 3987984 4039112 4071067 4091568 4099536 4176809 4227132 4270266 4428424 4441164 4486482 4498102 4544001 4598748 4603014 4652648 4769072 4773496 4831596 4880304 4957092 4981977 5010544 5127408 5140688 5193144 5234229 5297292 5365206 5370183 5434884 5625906 5636176 5636862 5693688 5710068 5783274 5852952 5921552 5981976 6058668 6131664 6137352 6149304 6340698 6442128 6563557 6609456 6642636 6661746 6747153 6978972 7063056 7068446 7153608 7160244 7246512 7501208 7515816 7613424 7711032 7749742 7789716 8047809 8078224 8142134 8353618 8438859 8454264 8455293 8540532 8674911 8856848 8882328 8972964 8996204 9088002 9197496 9206028 9305296 9511047 9546992 9663192 9914184 9963954 9992619 10386288 10468458 10594584 10602669 10730412 10740366 10869768 11251812 11273724 11387376 11420136 11566548 11624613 11705904 11963952 12117336 12213201 12274704 12298608 12530427 12681396 13127114 13285272 13323492 13494306 13632003 13957944 14136892 14307216 14320488 14945931 15002416 15031632 15422064 15499484 15579432 15702687 16095618 16110549 16284268 16707236 16877718 16908528 16910586 17081064 17349822 17764656 17945928 17992408 18176004 18394992 18412056 19022094 19326384 19690671 19828368 19927908 19985238 20241459 20936916 21189168 21205338 21460824 21480732 21739536 22503624 22547448 22840272 23133096 23249226 24234672 24426402 24739561 25060854 25316577 25362792 26254228 26570544 26646984 26988612 27264006 27915888 28273784 28640976 29237663 29891862 30998968 31158864 31405374 31808007 32191236 32221098 32568536 33414472 33755436 33821172 34162128 34699644 34873839 35891856 35984816 36352008 36639603 36824112 37591281 38044188 39381342 39855816 39970476 40482918 41873832 42410676 42921648 42961464 45007248 45094896 45944899 46266192 46498452 48852804 49479122 50121708 50633154 50725584 52508456 53293968 53977224 54528012 56547568 58475326 59072013 59783724 60724377 61997936 62810748 63616014 64382472 64442196 65137072 66828944 67510872 67642344 69399288 69747678 72704016 73279206 74218683 75182562 76088376 78762684 79711632 79940952 80965836 83747664 84821352 85922928 87712989 91889798 92996904 95424021 97705608 98958244 100243416 101266308 104621517 105016912 107954448 109056024 109918809 112773843 116950652 118144026 119567448 121448754 125621496 127232028 128764944 128884392 135021744 135284688 137834697 138798576 139495356 146558412 148437366 150365124 152176752 157525368 159881904 161931672 169642704 175425978 177216039 183779596 185993808 190848042 195411216 197916488 200486832 202532616 209243034 218112048 219837618 222656049 225547686 233901304 236288052 239134896 242897508 251242992 254464056 257768784 263138967 275669394 278990712 293116824 296874732 300730248 315050736 321614293 323863344 350851956 354432078 367559192 381696084 395832976 405065232 413504091 418486068 439675236 445312098 451095372 467802608 472576104 485795016 508928112 526277934 551338788 557981424 586233648 593749464 601460496 643228586 667968147 701703912 708864156 735118384 763392168 789416901 827008182 836972136 879350472 890624196 902190744 945152208 964842879 971590032 1052555868 1102677576 1187498928 1240512273 1286457172 1335936294 1403407824 1417728312 1526784336 1578833802 1654016364 1673944272 1758700944 1781248392 1804381488 1929685758 2105111736 2205355152 2481024546 2572914344 2671872588 2835456624 2894528637 3157667604 3308032728 3562496784 3859371516 4210223472 4962049092 5145828688 5343745176 5789057274 6315335208 6616065456 7718743032 8683585911 9924098184 10687490352 11578114548 12630670416 15437486064 17367171822 19848196368 23156229096 34734343644 46312458192 69468687288 138937374576
• Sum of all divisors σ(n): 559964160000
• Sum of proper divisors (its aliquot sum) s(n): 421026785424
• 138937374576 is an abundant number, because the sum of its proper divisors (421026785424) is greater than itself. Its abundance is 282089410848

Bases of 138937374576

• Binary: 10000001011001010100000001011101110000₂
• Hexadecimal: 0x2059501770
• Base-36: 1RTRQ4C0

Squares and roots of 138937374576

• 138937374576 squared (138937374576²) is 19303594054071731179776
• 138937374576 cubed (138937374576³) is 2681990677753610512897316507774976
• The square root of 138937374576 is 372743.0409491235
• The cube root of 138937374576 is 5179.3233983575

Scales and comparisons

• 138,937,374,576 seconds is equal to 4,417 years, 40 weeks, 3 days, 11 hours, 9 minutes, 36 seconds.
• To count from 1 to 138,937,374,576 would take you about eight thousand, eight hundred thirty-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 138937374576 cubic inches would be around 431.6 feet tall.

Recreational maths with 138937374576

• 138937374576 backwards is 675473739831
• 138937374576 is a Harshad number.
• The number of decimal digits it has is: 12
• The sum of 138937374576's digits is 63
• More coming soon!