138753585984

Names of 138753585984

• Cardinal: 138753585984 can be written as One hundred thirty-eight billion, seven hundred fifty-three million, five hundred eighty-five thousand, nine hundred eighty-four.

Scientific notation

• Scientific notation: 1.38753585984 × 10¹¹

Factors of 138753585984

• Number of distinct prime factors ω(n): 6
• Total number of prime factors Ω(n): 12
• Sum of prime factors: 2219

Divisors of 138753585984

• Number of divisors d(n): 336
• Complete list of divisors:
  1 2 3 4 6 8 12 13 16 23 24 26 32 39 46 48 52 64 69 78 89 92 96 104 138 156 169 178 184 192 208 267 276 299 312 338 356 368 416 507 534 552 598 624 676 712 736 832 897 1014 1068 1104 1157 1196 1248 1352 1424 1472 1794 2028 2047 2089 2136 2208 2314 2392 2496 2704 2848 3471 3588 3887 4056 4094 4178 4272 4416 4628 4784 5408 5696 6141 6267 6942 7176 7774 8112 8188 8356 8544 9256 9568 10816 11661 12282 12534 13884 14352 15041 15548 16224 16376 16712 17088 18512 19136 23322 24564 25068 26611 27157 27768 28704 30082 31096 32448 32752 33424 37024 45123 46644 48047 49128 50136 53222 54314 55536 57408 60164 62192 65504 66848 74048 79833 81471 90246 93288 96094 98256 100272 106444 108628 111072 120328 124384 131008 133696 144141 159666 162942 180492 185921 186576 192188 196512 200544 212888 217256 222144 240656 248768 288282 319332 325884 345943 353041 360984 371842 373152 384376 393024 401088 425776 434512 481312 557763 576564 624611 638664 651768 691886 706082 721968 743684 746304 768752 851552 869024 962624 1037829 1059123 1115526 1153128 1249222 1277328 1303536 1383772 1412164 1443936 1487368 1537504 1703104 1738048 1873833 2075658 2118246 2231052 2306256 2416973 2498444 2554656 2607072 2767544 2824328 2887872 2974736 3075008 3747666 4151316 4236492 4276183 4462104 4612512 4833946 4996888 5109312 5214144 5535088 5648656 5949472 7250919 7495332 8119943 8302632 8472984 8552366 8924208 9225024 9667892 9993776 11070176 11297312 11898944 12828549 14501838 14990664 16239886 16605264 16945968 17104732 17848416 19335784 19987552 22140352 22594624 24359829 25657098 29003676 29981328 31420649 32479772 33210528 33891936 34209464 35696832 38671568 39975104 48719658 51314196 55590379 58007352 59962656 62841298 64959544 66421056 67783872 68418928 77343136 94261947 97439316 102628392 111180758 116014704 119925312 125682596 129919088 136837856 154686272 166771137 188523894 194878632 205256784 222361516 232029408 251365192 259838176 273675712 333542274 377047788 389757264 410513568 444723032 464058816 502730384 519676352 667084548 722674927 754095576 779514528 821027136 889446064 1005460768 1334169096 1445349854 1508191152 1559029056 1778892128 2010921536 2168024781 2668338192 2890699708 3016382304 3557784256 4336049562 5336676384 5781399416 6032764608 8672099124 10673352768 11562798832 17344198248 23125597664 34688396496 46251195328 69376792992 138753585984
• Sum of all divisors σ(n): 419676681600
• Sum of proper divisors (its aliquot sum) s(n): 280923095616
• 138753585984 is an abundant number, because the sum of its proper divisors (280923095616) is greater than itself. Its abundance is 142169509632

Bases of 138753585984

• Binary: 10000001001110010110111011001101000000₂
• Hexadecimal: 0x204E5BB340
• Base-36: 1RQQAW5C

Squares and roots of 138753585984

• 138753585984 squared (138753585984²) is 19252557623419281248256
• 138753585984 cubed (138753585984³) is 2671361409613021932763367746043904
• The square root of 138753585984 is 372496.4241224337
• The cube root of 138753585984 is 5177.0386265401

Scales and comparisons

• 138,753,585,984 seconds is equal to 4,411 years, 48 weeks, 4 days, 6 hours, 46 minutes, 24 seconds.
• To count from 1 to 138,753,585,984 would take you about eight thousand, eight hundred twenty-three 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 138753585984 cubic inches would be around 431.4 feet tall.

Recreational maths with 138753585984

• 138753585984 backwards is 489585357831
• The number of decimal digits it has is: 12
• The sum of 138753585984's digits is 66
• More coming soon!