138656817936

Names of 138656817936

• Cardinal: 138656817936 can be written as One hundred thirty-eight billion, six hundred fifty-six million, eight hundred seventeen thousand, nine hundred thirty-six.

Scientific notation

• Scientific notation: 1.38656817936 × 10¹¹

Factors of 138656817936

• Number of distinct prime factors ω(n): 7
• Total number of prime factors Ω(n): 13
• Sum of prime factors: 198

Divisors of 138656817936

• Number of divisors d(n): 960
• Complete list of divisors:
  1 2 3 4 6 7 8 9 12 13 14 16 17 18 21 24 26 28 29 34 36 39 42 48 51 52 56 58 63 68 72 78 84 87 91 102 104 112 116 117 119 126 127 136 144 153 156 168 169 174 182 203 204 208 221 232 234 238 252 254 261 272 273 306 312 336 338 348 357 364 377 381 406 408 442 464 468 476 493 504 507 508 522 546 609 612 624 663 676 696 714 728 754 762 812 816 819 884 889 936 952 986 1008 1014 1016 1044 1071 1092 1131 1143 1183 1218 1224 1326 1352 1392 1428 1456 1479 1508 1521 1524 1547 1624 1638 1651 1768 1778 1827 1872 1904 1972 1989 2028 2032 2088 2142 2159 2184 2197 2262 2286 2366 2436 2448 2639 2652 2667 2704 2856 2873 2958 3016 3042 3048 3094 3248 3276 3302 3393 3451 3536 3549 3556 3654 3683 3944 3978 4056 4176 4284 4318 4368 4394 4437 4524 4572 4641 4732 4872 4901 4953 5278 5304 5334 5712 5746 5916 6032 6084 6096 6188 6409 6477 6552 6591 6604 6786 6902 7098 7112 7308 7366 7888 7917 7956 8001 8112 8568 8619 8636 8788 8874 9048 9144 9282 9464 9744 9802 9906 10353 10556 10608 10647 10668 11049 11492 11557 11832 12168 12376 12818 12954 13104 13182 13208 13572 13804 13923 14196 14224 14616 14703 14732 14859 15113 15379 15834 15912 16002 17136 17238 17272 17576 17748 18096 18288 18564 18928 19227 19431 19604 19773 19812 20111 20706 21112 21294 21336 21463 22098 22984 23114 23664 23751 24336 24752 25636 25781 25857 25908 26364 26416 27144 27608 27846 28067 28392 29232 29406 29464 29718 30226 30758 31059 31668 31824 32004 33147 34307 34476 34544 34671 35152 35496 37128 37349 38454 38862 39208 39546 39624 40222 41412 42224 42588 42672 42926 44109 44196 44863 45339 45968 46137 46228 47502 47879 51272 51562 51714 51816 52728 54288 55216 55692 56134 56784 57681 58812 58928 59436 60333 60452 61516 62118 62611 63336 63713 64008 64389 66294 68614 68952 69342 70992 74256 74698 76908 77343 77724 78416 79092 79248 80444 82824 83317 84201 85176 85852 88218 88392 89726 90678 92274 92456 95004 95758 102544 102921 103124 103428 103632 104013 105456 111384 112047 112268 115362 117624 118872 120666 120904 123032 124236 125222 126672 127426 128016 128778 132588 134589 136017 137228 137904 138411 138684 143637 149396 150241 153816 154686 155448 158184 160888 165648 166634 168402 170352 171704 176436 176784 179452 180999 181356 184548 184912 187833 190008 191139 191516 193167 196469 205842 206248 206856 208026 222768 224094 224536 230724 232029 235248 237744 241332 241808 246064 248472 249951 250444 252603 254852 257556 261443 265176 269178 272034 274456 276822 277368 279019 287274 298792 300482 307632 308763 309372 310896 316368 321776 333268 335153 336141 336804 343408 352872 358904 361998 362712 364871 369096 375666 380016 382278 383032 386334 392938 403767 411684 412496 413712 416052 430911 438277 445991 448188 449072 450723 461448 464058 482664 496944 499902 500888 505206 509704 515112 522886 530352 538356 544068 548912 553644 554736 558038 563499 573417 574548 583219 589407 597584 600964 617526 618744 622427 666536 670306 672282 673608 705744 717808 723996 725424 729742 738192 749853 751332 764556 766064 772668 784329 785876 807534 813943 823368 832104 837057 861822 876554 891982 896376 901446 922896 928116 965328 999804 1001776 1005459 1010412 1019408 1030224 1045772 1076712 1083121 1088136 1094613 1107288 1116076 1126998 1146834 1149096 1166438 1178814 1201928 1235052 1237488 1244854 1314831 1333072 1337973 1340612 1344564 1347216 1352169 1447992 1459484 1499706 1502664 1529112 1545336 1568658 1571752 1615068 1627886 1646736 1664208 1674114 1723644 1749657 1753108 1768221 1783964 1792752 1802892 1856232 1867281 1953133 1999608 2010918 2020824 2091544 2153424 2166242 2176272 2189226 2214576 2232152 2253996 2293668 2298192 2332876 2352987 2357628 2403856 2441829 2470104 2489708 2511171 2554097 2629662 2675946 2681224 2689128 2704338 2895984 2918968 2999412 3005328 3016377 3058224 3090672 3137316 3143504 3230136 3249363 3255772 3283839 3348228 3447288 3499314 3506216 3536442 3567928 3605784 3712464 3734562 3906266 3944493 3999216 4013919 4021836 4041648 4183088 4332484 4356989 4378452 4464304 4507992 4587336 4665752 4705974 4715256 4743323 4883658 4940208 4979416 5022342 5108194 5248971 5259324 5351892 5362448 5378256 5408676 5601843 5697601 5837936 5859399 5998824 6032754 6274632 6460272 6498726 6511544 6567678 6696456 6894576 6998628 7012432 7072884 7135856 7211568 7325487 7469124 7581847 7662291 7812532 7888986 8027838 8043672 8091551 8664968 8713978 8756904 9015984 9174672 9331504 9411948 9430512 9486646 9748089 9767316 9958832 10044684 10216388 10497942 10518648 10581259 10703784 10817352 11203686 11395202 11718798 11997648 12065508 12549264 12997452 13023088 13070967 13135356 13392912 13997256 14145768 14229969 14650974 14938248 15163694 15324582 15625064 15777972 16055676 16087344 16183102 17092803 17329936 17427956 17513808 17578197 18823896 18973292 19496178 19534632 20089368 20432776 20995884 21037296 21162518 21407568 21634704 22407372 22745541 22790404 22986873 23437596 24131016 24274653 25994904 26141934 26270712 27994512 28291536 28459938 29301948 29876496 30327388 30649164 31250128 31555944 31743777 32111352 32366204 33203261 34185606 34855912 35156394 37647792 37946584 38992356 39069264 39212901 40178736 40865552 41991768 42325036 42689907 44814744 45491082 45580808 45973746 46875192 48262032 48549306 51278409 51989808 52283868 52541424 56640857 56919876 58603896 60654776 61298328 63111888 63487554 64222704 64732408 66406522 68236623 68371212 69711824 70312788 72823959 74068813 75893168 77984712 78425802 83983536 84650072 85379814 89629488 90982164 91161616 91947492 93750384 95231331 97098612 99609783 102556818 104567736 113281714 113839752 117207792 121309552 122596656 126975108 129464816 132813044 136473246 136742424 137556367 140625576 145647918 148137626 155969424 156851604 169300144 169922571 170759628 181964328 183894984 190462662 194197224 199219566 205113636 209135472 222206439 226563428 227679504 253950216 265626088 272946492 273484848 275112734 281251152 291295836 296275252 298829349 313703208 339845142 341519256 363928656 367789968 380925324 388394448 398439132 410227272 412669101 444412878 453126856 507900432 509767713 531252176 545892984 550225468 582591672 592550504 597658698 627406416 666619317 679690284 683038512 761850648 796878264 820454544 825338202 888825756 906253712 962894569 1019535426 1091785968 1100450936 1165183344 1185101008 1195317396 1238007303 1333238634 1359380568 1523701296 1593756528 1650676404 1777651512 1925789138 2039070852 2200901872 2390634792 2476014606 2666477268 2718761136 2888683707 3301352808 3555303024 3851578276 4078141704 4781269584 4952029212 5332954536 5777367414 6602705616 7703156552 8156283408 8666051121 9904058424 10665909072 11554734828 15406313104 17332102242 19808116848 23109469656 34664204484 46218939312 69328408968 138656817936
• Sum of all divisors σ(n): 530366054400
• Sum of proper divisors (its aliquot sum) s(n): 391709236464
• 138656817936 is an abundant number, because the sum of its proper divisors (391709236464) is greater than itself. Its abundance is 253052418528

Bases of 138656817936

• Binary: 10000001001000100101110010001100010000₂
• Hexadecimal: 0x2048972310
• Base-36: 1RP4OTG0

Squares and roots of 138656817936

• 138656817936 squared (138656817936²) is 19225713160137051300096
• 138656817936 cubed (138656817936³) is 2665776209334882334925303171321856
• The square root of 138656817936 is 372366.5102234625
• The cube root of 138656817936 is 5175.8348416079

Scales and comparisons

• 138,656,817,936 seconds is equal to 4,408 years, 44 weeks, 4 days, 6 hours, 45 minutes, 36 seconds.
• To count from 1 to 138,656,817,936 would take you about eight thousand, eight hundred seventeen 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 138656817936 cubic inches would be around 431.3 feet tall.

Recreational maths with 138656817936

• 138656817936 backwards is 639718656831
• 138656817936 is a Harshad number.
• The number of decimal digits it has is: 12
• The sum of 138656817936's digits is 63
• More coming soon!