138735138432

Names of 138735138432

• Cardinal: 138735138432 can be written as One hundred thirty-eight billion, seven hundred thirty-five million, one hundred thirty-eight thousand, four hundred thirty-two.

Scientific notation

• Scientific notation: 1.38735138432 × 10¹¹

Factors of 138735138432

• Number of distinct prime factors ω(n): 7
• Total number of prime factors Ω(n): 14
• Sum of prime factors: 218

Divisors of 138735138432

• Number of divisors d(n): 768
• Complete list of divisors:
  1 2 3 4 6 8 11 12 16 17 22 24 32 33 34 37 44 47 48 51 64 66 68 74 88 94 96 101 102 111 121 128 132 136 141 148 176 187 188 192 202 204 222 242 264 272 282 296 303 352 363 374 376 384 404 407 408 444 484 517 528 544 561 564 592 606 629 704 726 748 752 799 808 814 816 888 968 1034 1056 1088 1111 1122 1128 1184 1212 1221 1258 1408 1452 1496 1504 1551 1598 1616 1628 1632 1717 1739 1776 1887 1936 2057 2068 2112 2176 2222 2244 2256 2368 2397 2424 2442 2516 2904 2992 3008 3102 3196 3232 3256 3264 3333 3434 3478 3552 3737 3774 3872 4114 4136 4224 4444 4477 4488 4512 4736 4747 4794 4848 4884 5032 5151 5217 5687 5808 5984 6016 6171 6204 6392 6464 6512 6528 6666 6868 6919 6956 7104 7474 7548 7744 8228 8272 8789 8888 8954 8976 9024 9494 9588 9696 9768 10064 10302 10434 11211 11374 11616 11968 12221 12342 12408 12784 12928 13024 13332 13431 13736 13838 13912 14208 14241 14948 15096 15488 16456 16544 17061 17578 17776 17908 17952 18048 18887 18988 19129 19176 19392 19536 20128 20604 20757 20868 22422 22748 23232 23936 24442 24684 24816 25568 26048 26367 26664 26862 27472 27676 27824 28482 29563 29896 30192 32912 33088 34122 35156 35552 35816 35904 36663 37774 37976 38258 38352 38784 39072 40256 41107 41208 41514 41736 44844 45496 46464 48884 49368 49632 51136 52096 52217 52734 53328 53724 54944 55352 55648 56661 56964 57387 59126 59792 60384 63529 65824 66176 68244 70312 71104 71632 71808 73326 75548 75952 76109 76516 76704 78144 80512 80699 82214 82416 83028 83472 88689 89688 90992 96679 97768 98736 99264 102272 104434 105468 106656 107448 109888 110704 111296 113322 113928 114774 118252 119584 120768 123321 127058 131648 136488 140624 142208 143264 146652 151096 151904 152218 153032 153408 156288 156651 161398 164428 164832 166056 166944 175639 177378 179376 181984 190587 193358 195536 197472 198528 207757 208868 210419 210936 213312 214896 219776 221408 222592 226644 227856 228327 229548 236504 239168 241536 242097 246642 254116 263296 272976 281248 286528 290037 293304 302192 303808 304436 306064 306816 313302 322796 325193 328856 329664 332112 333888 351278 354756 358752 363968 381174 386716 391072 394944 415514 417736 420838 421872 426624 429792 442816 452177 453288 455712 456654 459096 473008 478336 484194 493284 508232 526917 545952 562496 573056 574387 580074 586608 604384 607616 608872 612128 623271 626604 631257 645592 650386 657712 659328 664224 667776 698819 702556 709512 717504 727936 762348 773432 782144 789888 831028 835472 841676 843744 859584 885632 887689 904354 906576 911424 913308 918192 946016 968388 975579 986568 1016464 1053834 1091904 1124992 1148774 1160148 1173216 1208768 1217744 1224256 1246542 1253208 1262514 1291184 1300772 1315424 1328448 1356531 1397638 1405112 1419024 1435008 1524696 1546864 1564288 1662056 1670944 1683352 1687488 1719168 1723161 1775378 1808708 1813152 1822848 1826616 1836384 1892032 1932029 1936776 1951158 1973136 2032928 2096457 2107668 2183808 2297548 2320296 2346432 2417536 2435488 2448512 2493084 2506416 2525028 2582368 2601544 2630848 2656896 2663067 2713062 2795276 2810224 2838048 2985863 3049392 3093728 3324112 3341888 3366704 3374976 3446322 3550756 3577123 3617416 3626304 3653232 3672768 3784064 3864058 3873552 3902316 3946272 4065856 4192914 4215336 4595096 4640592 4692864 4870976 4986168 5012832 5050056 5164736 5203088 5261696 5326134 5426124 5590552 5620448 5676096 5796087 5971726 6098784 6187456 6648224 6683776 6733408 6892644 7101512 7154246 7234832 7252608 7306464 7345536 7687009 7728116 7747104 7804632 7892544 8131712 8385828 8430672 8957589 9190192 9281184 9741952 9764579 9972336 10025664 10100112 10329472 10406176 10652268 10731369 10852248 11181104 11240896 11352192 11592174 11943452 12197568 12374912 13296448 13466816 13785288 14203024 14308492 14469664 14612928 15374018 15456232 15494208 15609264 15785088 16771656 16861344 17915178 18380384 18562368 19529158 19944672 20051328 20200224 20812352 21252319 21304536 21462738 21704496 22362208 22481792 23061027 23184348 23886904 24395136 26592896 26933632 27570576 28406048 28616984 28939328 29225856 29293737 30748036 30912464 30988416 31218528 32844493 33543312 33722688 35830356 36760768 37124736 39058316 39889344 40400448 41624704 42504638 42609072 42925476 43408992 44724416 46122054 46368696 47773808 55141152 56812096 57233968 57878656 58587474 61496072 61824928 62437056 63756957 65688986 67086624 67445376 71660712 73521536 78116632 79778688 80800896 85009276 85218144 85850952 86817984 89448832 92244108 92737392 95547616 98533479 110282304 113624192 114467936 117174948 122992144 123649856 124874112 127513914 131377972 134173248 143321424 156233264 170018552 170436288 171701904 173635968 184488216 185474784 191095232 197066958 220564608 228935872 234349896 245984288 247299712 255027828 262755944 268346496 286642848 312466528 340037104 340872576 343403808 361289423 368976432 370949568 382190464 394133916 457871744 468699792 491968576 510055656 525511888 573285696 624933056 680074208 686807616 722578846 737952864 741899136 788267832 937399584 983937152 1020111312 1051023776 1083868269 1146571392 1249866112 1360148416 1373615232 1445157692 1475905728 1576535664 1874799168 2040222624 2102047552 2167736538 2720296832 2890315384 2951811456 3153071328 3749598336 4080445248 4204095104 4335473076 5780630768 6306142656 8160890496 8670946152 11561261536 12612285312 17341892304 23122523072 34683784608 46245046144 69367569216 138735138432
• Sum of all divisors σ(n): 454306890240
• Sum of proper divisors (its aliquot sum) s(n): 315571751808
• 138735138432 is an abundant number, because the sum of its proper divisors (315571751808) is greater than itself. Its abundance is 176836613376

Bases of 138735138432

• Binary: 10000001001101010000100011011010000000₂
• Hexadecimal: 0x204D423680
• Base-36: 1RQFBHXC

Squares and roots of 138735138432

• 138735138432 squared (138735138432²) is 19247438635746203418624
• 138735138432 cubed (138735138432³) is 2670296063591674754901232286957568
• The square root of 138735138432 is 372471.6612468661
• The cube root of 138735138432 is 5176.8091840087

Scales and comparisons

• 138,735,138,432 seconds is equal to 4,411 years, 18 weeks, 18 hours, 27 minutes, 12 seconds.
• To count from 1 to 138,735,138,432 would take you about eight thousand, eight hundred twenty-two 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 138735138432 cubic inches would be around 431.4 feet tall.

Recreational maths with 138735138432

• 138735138432 backwards is 234831537831
• 138735138432 is a Harshad number.
• The number of decimal digits it has is: 12
• The sum of 138735138432's digits is 48
• More coming soon!