138004756416

Names of 138004756416

• Cardinal: 138004756416 can be written as One hundred thirty-eight billion, four million, seven hundred fifty-six thousand, four hundred sixteen.

Scientific notation

• Scientific notation: 1.38004756416 × 10¹¹

Factors of 138004756416

• Number of distinct prime factors ω(n): 7
• Total number of prime factors Ω(n): 13
• Sum of prime factors: 400

Divisors of 138004756416

• Number of divisors d(n): 672
• Complete list of divisors:
  1 2 3 4 6 8 9 12 16 17 18 24 29 31 32 34 36 48 51 58 61 62 64 68 72 87 93 96 102 116 122 124 136 144 153 174 183 186 192 204 232 244 248 257 261 272 279 288 306 348 366 372 408 464 488 493 496 514 522 527 544 549 558 576 612 696 732 744 771 816 899 928 976 986 992 1028 1037 1044 1054 1088 1098 1116 1224 1392 1464 1479 1488 1542 1581 1632 1769 1798 1856 1891 1952 1972 1984 2056 2074 2088 2108 2196 2232 2313 2448 2697 2784 2928 2958 2976 3084 3111 3162 3264 3538 3596 3782 3904 3944 4112 4148 4176 4216 4369 4392 4437 4464 4626 4743 4896 5307 5394 5568 5673 5856 5916 5952 6168 6222 6324 7076 7192 7453 7564 7888 7967 8091 8224 8296 8352 8432 8738 8784 8874 8928 9252 9333 9486 9792 10614 10788 11346 11712 11832 12336 12444 12648 13107 14152 14384 14906 15128 15283 15677 15776 15921 15934 16182 16448 16592 16704 16864 17019 17476 17568 17748 17856 18504 18666 18972 21228 21576 22359 22692 23664 23901 24672 24888 25296 26214 28304 28768 29812 30073 30256 30566 31354 31552 31842 31868 32147 32364 33184 33728 34038 34952 35136 35496 37008 37332 37944 39321 42456 43152 44718 45384 45849 47031 47328 47802 49344 49776 50592 52428 54839 56608 57536 59624 60146 60512 61132 62708 63684 63736 64294 64728 66368 67077 68076 69904 70992 71703 74016 74664 75888 78642 84912 86304 89436 90219 90768 91698 94062 94656 95604 96441 99552 101184 104856 109678 113216 119248 120292 121024 122264 125416 126701 127368 127472 128588 129456 134154 135439 136152 137547 139808 141093 141984 143406 148032 149328 151776 157284 164517 169824 172608 178872 180438 181536 183396 188124 191208 192882 199104 209712 219356 231043 238496 240584 244528 250832 253402 254736 254944 257176 258912 266509 268308 270657 270878 272304 275094 279616 282186 283968 286812 289323 298656 303552 314568 329034 339648 357744 360876 363072 366792 376248 380103 382416 385764 406317 419424 438712 454633 462086 476992 481168 485987 489056 493551 501664 506804 509472 509888 514352 517824 533018 536616 541314 541756 544608 550188 564372 573624 578646 597312 629136 658068 693129 715488 721752 733584 752496 760206 764832 771528 799527 812634 838848 877424 909266 924172 932263 962336 971974 978112 987102 1003328 1013608 1018944 1028704 1066036 1073232 1082628 1083512 1089216 1100376 1128744 1140309 1147248 1157292 1218951 1258272 1316136 1363899 1386258 1430976 1443504 1457961 1467168 1504992 1520412 1529664 1543056 1599054 1625268 1754848 1818532 1848344 1864526 1924672 1943948 1974204 2027216 2057408 2079387 2132072 2146464 2165256 2167024 2200752 2257488 2280618 2294496 2314584 2398581 2437902 2516544 2632272 2727798 2772516 2796789 2887008 2915922 2934336 3009984 3040824 3086112 3198108 3250536 3509696 3637064 3696688 3729052 3887896 3927731 3948408 4054432 4091697 4158774 4264144 4292928 4330512 4334048 4373883 4401504 4514976 4561236 4588992 4629168 4797162 4875804 5264544 5455596 5545032 5593578 5774016 5831844 6081648 6172224 6396216 6501072 7274128 7393376 7458104 7728761 7775792 7855462 7896816 8108864 8183394 8261779 8317548 8390367 8528288 8661024 8668096 8747766 8803008 9029952 9122472 9258336 9594324 9751608 10529088 10911192 11090064 11187156 11663688 11783193 12163296 12792432 13002144 14093623 14548256 14786752 14916208 15457522 15551584 15710924 15793632 16366788 16523558 16635096 16780734 17056576 17322048 17495532 18244944 18516672 19188648 19503216 21822384 22180128 22374312 23186283 23327376 23566386 24326592 24785337 25584864 26004288 28187246 29096512 29832416 30915044 31103168 31421848 31587264 32733576 33047116 33270192 33561468 34991064 35349579 36489888 38377296 39006432 42280869 43644768 44360256 44748624 46372566 46654752 47132772 49570674 51169728 56374492 59664832 61830088 62843696 65467152 66094232 66540384 67122936 69558849 69982128 70699158 72979776 74356011 76754592 78012864 84561738 87289536 89497248 92745132 93309504 94265544 99141348 112748984 123660176 125687392 126842607 130934304 132188464 133080768 134245872 139117698 139964256 141398316 148712022 153509184 169123476 178994496 185490264 188531088 198282696 225497968 239591591 247320352 251374784 253685214 261868608 264376928 268491744 278235396 279928512 282796632 297424044 338246952 370980528 377062176 396565392 450995936 479183182 494640704 507370428 528753856 536983488 556470792 565593264 594848088 676493904 718774773 741961056 754124352 793130784 901991872 958366364 1014740856 1112941584 1131186528 1189696176 1352987808 1437549546 1483922112 1586261568 1916732728 2029481712 2156324319 2225883168 2262373056 2379392352 2705975616 2875099092 3833465456 4058963424 4312648638 4451766336 4758784704 5750198184 7666930912 8117926848 8625297276 11500396368 15333861824 17250594552 23000792736 34501189104 46001585472 69002378208 138004756416
• Sum of all divisors σ(n): 456354362880
• Sum of proper divisors (its aliquot sum) s(n): 318349606464
• 138004756416 is an abundant number, because the sum of its proper divisors (318349606464) is greater than itself. Its abundance is 180344850048

Bases of 138004756416

• Binary: 10000000100001101110010111011111000000₂
• Hexadecimal: 0x2021B977C0
• Base-36: 1RECGVK0

Squares and roots of 138004756416

• 138004756416 squared (138004756416²) is 19045312793439493165056
• 138004756416 cubed (138004756416³) is 2628343752925145777078050162999296
• The square root of 138004756416 is 371489.9142857041
• The cube root of 138004756416 is 5167.7086224293

Scales and comparisons

• 138,004,756,416 seconds is equal to 4,388 years, 6 weeks, 3 days, 6 hours, 33 minutes, 36 seconds.
• To count from 1 to 138,004,756,416 would take you about eight thousand, seven hundred seventy-six 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 138004756416 cubic inches would be around 430.6 feet tall.

Recreational maths with 138004756416

• 138004756416 backwards is 614657400831
• The number of decimal digits it has is: 12
• The sum of 138004756416's digits is 45
• More coming soon!