138287028768

Names of 138287028768

• Cardinal: 138287028768 can be written as One hundred thirty-eight billion, two hundred eighty-seven million, twenty-eight thousand, seven hundred sixty-eight.

Scientific notation

• Scientific notation: 1.38287028768 × 10¹¹

Factors of 138287028768

• Number of distinct prime factors ω(n): 8
• Total number of prime factors Ω(n): 12
• Sum of prime factors: 409

Divisors of 138287028768

• Number of divisors d(n): 768
• Complete list of divisors:
  1 2 3 4 6 7 8 12 14 16 17 19 21 24 28 32 34 37 38 42 48 51 56 57 67 68 74 76 84 96 102 111 112 114 119 133 134 136 148 152 168 201 204 222 224 228 238 257 259 266 268 272 296 304 323 336 357 399 402 408 444 456 469 476 514 518 532 536 544 592 608 629 646 672 703 714 771 777 798 804 816 888 912 938 952 969 1028 1036 1064 1072 1139 1184 1258 1273 1292 1406 1407 1428 1542 1554 1596 1608 1632 1776 1799 1824 1876 1887 1904 1938 2056 2072 2109 2128 2144 2261 2278 2479 2516 2546 2584 2812 2814 2856 3084 3108 3192 3216 3417 3552 3598 3752 3774 3808 3819 3876 4112 4144 4218 4256 4369 4403 4522 4556 4883 4921 4958 5032 5092 5168 5397 5624 5628 5712 6168 6216 6384 6432 6783 6834 7196 7437 7504 7548 7638 7752 7973 8224 8288 8436 8738 8806 8911 9044 9112 9509 9766 9842 9916 10064 10184 10336 10794 11248 11256 11424 11951 12336 12432 12768 13107 13209 13566 13668 14392 14649 14763 14874 15008 15096 15276 15504 15946 16872 17219 17353 17476 17612 17822 18088 18224 19018 19532 19684 19832 20128 20368 21588 21641 22496 22512 23902 23919 24672 24864 26214 26418 26733 27132 27336 28527 28784 29298 29526 29748 30192 30552 30583 31008 31892 33744 34181 34438 34706 34952 35224 35644 35853 36176 36448 38036 39064 39368 39664 40736 42143 43176 43282 45024 47101 47804 47838 51657 52059 52428 52836 53466 54264 54672 57054 57568 58596 59052 59496 60384 61104 61166 63784 64923 66563 67488 68362 68876 69412 69904 70448 71288 71706 72352 76072 78128 78736 79328 83011 83657 84286 86352 86564 91749 94202 95608 95676 102543 103314 104118 104856 105672 106932 108528 109344 114108 117192 118104 118992 120533 122208 122332 126429 127568 129846 133126 136724 137752 138824 139808 140896 141303 142576 143412 151487 152144 156256 157472 161653 166022 167314 168572 172704 173128 180671 183498 188404 191216 191352 199689 205086 206628 208236 209712 211344 213864 217056 228216 234384 236208 237984 241066 244664 249033 250971 252858 255136 259692 266252 273448 275504 277648 282606 285152 286824 292723 295001 302974 304288 323306 327161 329707 332044 334628 337144 346256 361342 361599 366996 376808 382432 382704 399378 410172 413256 416472 419424 422688 427728 454461 456432 468768 472416 482132 484959 489328 498066 501942 505716 519384 532504 542013 546896 551008 555296 565212 573648 581077 585446 590002 605948 637103 646612 654322 659414 664088 669256 674288 692512 722684 723198 733992 753616 765408 798756 800717 820344 826512 832944 855456 878169 885003 908922 912864 964264 969918 978656 981483 989121 996132 1003884 1011432 1038768 1065008 1084026 1093792 1130424 1131571 1147296 1162154 1170892 1180004 1211896 1264697 1274206 1293224 1308644 1318828 1328176 1338512 1348576 1445368 1446396 1467984 1507232 1597512 1601434 1640688 1653024 1665888 1743231 1756338 1770006 1817844 1911309 1928528 1939836 1962966 1978242 1992264 2007768 2022864 2049061 2077536 2130016 2168052 2260848 2263142 2290127 2324308 2341784 2360008 2402151 2423792 2529394 2548412 2586448 2617288 2637656 2656352 2677024 2890736 2892792 2935968 3071407 3195024 3202868 3281376 3394713 3486462 3512676 3540012 3635688 3794091 3822618 3857056 3879672 3925932 3956484 3984528 4015536 4045728 4098122 4336104 4459721 4521696 4526284 4580254 4648616 4683568 4720016 4804302 4847584 5058788 5096824 5172896 5234576 5275312 5561737 5605019 5781472 5785584 6142814 6147183 6390048 6405736 6789426 6870381 6972924 7025352 7080024 7271376 7588182 7645236 7759344 7851864 7912968 7969056 8031072 8196244 8672208 8919442 9052568 9160508 9214221 9297232 9367136 9440032 9608604 10117576 10193648 10469152 10550624 10830751 11123474 11210038 11571168 12104957 12285628 12294366 12811472 13379163 13578852 13740762 13945848 14050704 14160048 14542752 15176364 15290472 15518688 15703728 15825936 16392488 16685211 16815057 17344416 17838884 18105136 18321016 18428442 18594464 19217208 20235152 20387296 21499849 21661502 22246948 22420076 24209914 24571256 24588732 25622944 26758326 27157704 27481524 27891696 28101408 28320096 30352728 30580944 31407456 31651872 32492253 32784976 33370422 33630114 35677768 36210272 36314871 36642032 36856884 38434416 38932159 40470304 42999698 43323004 44493896 44840152 48419828 49142512 49177464 53516652 54315408 54963048 55783392 60705456 61161888 64499547 64984506 65569952 66740844 67260228 71355536 72629742 73284064 73713768 75815257 76868832 77864318 84734699 85999396 86646008 88987792 89680304 96839656 98285024 98354928 107033304 108630816 109926096 116796477 121410912 128999094 129969012 133481688 134520456 142711072 145259484 147427536 151630514 155728636 169469398 171998792 173292016 177975584 179360608 193679312 196709856 205784269 214066608 219852192 227445771 233592954 254204097 257998188 259938024 266963376 269040912 290518968 294855072 303261028 311457272 338938796 343997584 346584032 387358624 411568538 428133216 454891542 467185908 508408194 515996376 519876048 533926752 538081824 581037936 606522056 617352807 622914544 677877592 687995168 823137076 909783084 934371816 1016816388 1031992752 1039752096 1162075872 1213044112 1234705614 1245829088 1355755184 1440489883 1646274152 1819566168 1868743632 2033632776 2063985504 2426088224 2469411228 2711510368 2880979766 3292548304 3639132336 3737487264 4067265552 4321469649 4938822456 5761959532 6585096608 7278264672 8134531104 8642939298 9877644912 11523919064 17285878596 19755289824 23047838128 34571757192 46095676256 69143514384 138287028768
• Sum of all divisors σ(n): 483843870720
• Sum of proper divisors (its aliquot sum) s(n): 345556841952
• 138287028768 is an abundant number, because the sum of its proper divisors (345556841952) is greater than itself. Its abundance is 207269813184

Bases of 138287028768

• Binary: 10000000110010100011001001101000100000₂
• Hexadecimal: 0x20328C9A20
• Base-36: 1RJ0IYAO

Squares and roots of 138287028768

• 138287028768 squared (138287028768²) is 19123302325481659597824
• 138287028768 cubed (138287028768³) is 2644504658823043560260670798200832
• The square root of 138287028768 is 371869.6394813645
• The cube root of 138287028768 is 5171.2295345587

Scales and comparisons

• 138,287,028,768 seconds is equal to 4,397 years, 5 weeks, 1 day, 7 hours, 32 minutes, 48 seconds.
• To count from 1 to 138,287,028,768 would take you about eight thousand, seven hundred ninety-four 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 138287028768 cubic inches would be around 430.9 feet tall.

Recreational maths with 138287028768

• 138287028768 backwards is 867820782831
• The number of decimal digits it has is: 12
• The sum of 138287028768's digits is 60
• More coming soon!