138931214688

Names of 138931214688

• Cardinal: 138931214688 can be written as One hundred thirty-eight billion, nine hundred thirty-one million, two hundred fourteen thousand, six hundred eighty-eight.

Scientific notation

• Scientific notation: 1.38931214688 × 10¹¹

Factors of 138931214688

• Number of distinct prime factors ω(n): 5
• Total number of prime factors Ω(n): 13
• Sum of prime factors: 382

Divisors of 138931214688

• Number of divisors d(n): 432
• Complete list of divisors:
  1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 32 36 42 48 49 54 56 63 72 84 96 98 108 112 113 126 144 147 168 189 196 216 224 226 252 257 288 294 336 339 378 392 432 441 452 504 514 588 672 678 756 771 784 791 864 882 904 1008 1017 1028 1176 1323 1356 1512 1542 1568 1582 1764 1799 1808 2016 2034 2056 2313 2352 2373 2646 2712 3024 3051 3084 3164 3528 3598 3616 4068 4112 4626 4704 4746 5292 5397 5424 5537 6048 6102 6168 6328 6939 7056 7119 7196 8136 8224 9252 9492 10584 10794 10848 11074 12204 12336 12593 12656 12769 13878 14112 14238 14392 16191 16272 16611 18504 18984 21168 21357 21588 22148 24408 24672 25186 25312 25538 27756 28476 28784 29041 32382 32544 33222 37008 37779 37968 38307 42336 42714 43176 44296 48573 48816 49833 50372 51076 55512 56952 57568 58082 64764 66444 74016 75558 75936 76614 85428 86352 87123 88592 89383 97146 97632 99666 100744 102152 111024 113337 113904 114921 116164 129528 132888 149499 151116 153228 170856 172704 174246 177184 178766 194292 199332 201488 203287 204304 222048 226674 227808 229842 232328 259056 261369 265776 268149 298998 302232 306456 340011 341712 344763 348492 357532 388584 398664 402976 406574 408608 453348 459684 464656 518112 522738 531552 536298 597996 604464 609861 612912 625681 680022 683424 689526 696984 715064 777168 784107 797328 804447 813148 906696 919368 929312 1045476 1072596 1195992 1208928 1219722 1225824 1251362 1360044 1379052 1393968 1423009 1430128 1554336 1568214 1594656 1608894 1626296 1813392 1829583 1838736 1877043 2090952 2145192 2391984 2413341 2439444 2502724 2720088 2758104 2787936 2846018 2860256 3136428 3217788 3252592 3281633 3626784 3659166 3677472 3754086 4181904 4269027 4290384 4783968 4826682 4878888 5005448 5440176 5488749 5516208 5631129 5692036 6272856 6435576 6505184 6563266 7318332 7508172 8363808 8538054 8580768 9653364 9757776 9844899 10010896 10880352 10977498 11032416 11262258 11384072 12545712 12807081 12871152 13126532 14636664 15016344 16893387 17076108 19306728 19515552 19689798 20021792 21954996 22524516 22768144 22971431 25091424 25614162 25742304 26253064 29273328 29534697 30032688 33786774 34152216 38421243 38613456 39379596 43909992 45049032 45536288 45942862 51228324 52506128 58546656 59069394 60065376 67573548 68304432 68914293 76842486 77226912 78759192 87819984 88604091 90098064 91885724 102456648 105012256 118138788 135147096 136608864 137828586 153684972 157518384 160800017 175639968 177208182 180196128 183771448 204913296 206742879 236277576 270294192 275657172 307369944 315036768 321600034 354416364 367542896 409826592 413485758 472555152 482400051 540588384 551314344 614739888 620228637 643200068 708832728 735085792 826971516 945110304 964800102 1102628688 1229479776 1240457274 1286400136 1417665456 1447200153 1653943032 1929600204 2205257376 2480914548 2572800272 2835330912 2894400306 3307886064 3859200408 4341600459 4961829096 5145600544 5788800612 6615772128 7718400816 8683200918 9923658192 11577601224 15436801632 17366401836 19847316384 23155202448 34732803672 46310404896 69465607344 138931214688
• Sum of all divisors σ(n): 477432642960
• Sum of proper divisors (its aliquot sum) s(n): 338501428272
• 138931214688 is an abundant number, because the sum of its proper divisors (338501428272) is greater than itself. Its abundance is 199570213584

Bases of 138931214688

• Binary: 10000001011000111100100001100101100000₂
• Hexadecimal: 0x2058F21960
• Base-36: 1RTO23C0

Squares and roots of 138931214688

• 138931214688 squared (138931214688²) is 19301882414683146937344
• 138931214688 cubed (138931214688³) is 2681633969636876130647588948508672
• The square root of 138931214688 is 372734.7779427083
• The cube root of 138931214688 is 5179.2468542223

Scales and comparisons

• 138,931,214,688 seconds is equal to 4,417 years, 30 weeks, 2 days, 4 hours, 4 minutes, 48 seconds.
• To count from 1 to 138,931,214,688 would take you about eight thousand, eight hundred thirty-five 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 138931214688 cubic inches would be around 431.6 feet tall.

Recreational maths with 138931214688

• 138931214688 backwards is 886412139831
• 138931214688 is a Harshad number.
• The number of decimal digits it has is: 12
• The sum of 138931214688's digits is 54
• More coming soon!