138128812848

Names of 138128812848

• Cardinal: 138128812848 can be written as One hundred thirty-eight billion, one hundred twenty-eight million, eight hundred twelve thousand, eight hundred forty-eight.

Scientific notation

• Scientific notation: 1.38128812848 × 10¹¹

Factors of 138128812848

• Number of distinct prime factors ω(n): 7
• Total number of prime factors Ω(n): 11
• Sum of prime factors: 948

Divisors of 138128812848

• Number of divisors d(n): 480
• Complete list of divisors:
  1 2 3 4 6 8 9 12 13 16 18 24 26 29 36 39 48 52 53 58 61 72 78 87 104 106 116 117 122 144 156 159 174 183 208 212 232 234 244 261 312 318 348 366 377 424 464 468 477 488 522 549 624 636 689 696 732 754 787 793 848 936 954 976 1044 1098 1131 1272 1378 1392 1464 1508 1537 1574 1586 1769 1872 1908 2067 2088 2196 2262 2361 2379 2544 2756 2928 3016 3074 3148 3172 3233 3393 3538 3816 4134 4176 4392 4524 4611 4722 4758 5307 5512 6032 6148 6201 6296 6344 6466 6786 7076 7083 7137 7632 8268 8784 9048 9222 9444 9516 9699 10231 10614 11024 12296 12402 12592 12688 12932 13572 13833 14152 14166 14274 15921 16536 18096 18444 18888 19032 19398 19981 20462 21228 22823 22997 24592 24804 25864 27144 27666 28304 28332 28548 29097 30693 31842 33072 36888 37776 38064 38796 39962 40924 41711 42029 42456 45646 45994 48007 49608 51728 54288 55332 56664 57096 58194 59943 61386 63684 68469 68991 73776 77592 79924 81848 83422 84058 84912 91292 91988 92079 93757 96014 99216 110664 113328 114192 116388 119886 122772 125133 126087 127368 136938 137982 144021 155184 159848 163696 166844 168116 179829 182584 183976 184158 187514 192028 205407 206973 221328 232776 239772 245544 250266 252174 254736 273876 275964 281271 288042 296699 319696 333688 336232 359658 365168 367952 368316 375028 375399 378261 384056 410814 413946 432063 465552 479544 491088 500532 504348 542243 547752 551928 562542 576084 593398 624091 667376 672464 719316 736632 750056 750798 756522 768112 821628 827892 843813 864126 890097 959088 1001064 1008696 1084486 1095504 1103856 1125084 1152168 1186796 1209619 1218841 1248182 1392203 1438632 1473264 1500112 1501596 1513044 1626729 1643256 1655784 1687626 1728252 1780194 1872273 2002128 2017392 2168972 2250168 2304336 2373592 2419238 2437682 2496364 2544371 2670291 2784406 2877264 3003192 3026088 3253458 3286512 3311568 3375252 3456504 3560388 3628857 3656523 3744546 4176609 4337944 4500336 4747184 4838476 4875364 4880187 4992728 5088742 5340582 5568812 5616819 6006384 6052176 6506916 6750504 6913008 7120776 7257714 7313046 7489092 7633113 8353218 8675888 9676952 9750728 9760374 9985456 10177484 10681164 10886571 10969569 11137624 11233638 12529827 13013832 13501008 14241552 14515428 14626092 14978184 15266226 15725047 16706436 18098639 19353904 19501456 19520748 20354968 21362328 21773142 21939138 22275248 22467276 22899339 25059654 26027664 29030856 29252184 29956368 30532452 31450094 33076823 33412872 36197278 39041496 40709936 42724656 43546284 43878276 44934552 45798678 47175141 50119308 54295917 58061712 58504368 61064904 62900188 66153646 66825744 72394556 73786759 78082992 87092568 87756552 89869104 91597356 94350282 99230469 100238616 108591834 122129808 125800376 132307292 141525423 144789112 147573518 162887751 174185136 175513104 183194712 188700564 198460938 200477232 217183668 221360277 251600752 264614584 283050846 289578224 295147036 297691407 325775502 366389424 377401128 396921876 434367336 442720554 529229168 566101692 590294072 595382814 651551004 664080831 754802256 793843752 868734672 885441108 959227867 1132203384 1180588144 1190765628 1303102008 1328161662 1587687504 1770882216 1918455734 2264406768 2381531256 2606204016 2656323324 2877683601 3541764432 3836911468 4763062512 5312646648 5755367202 7673822936 8633050803 10625293296 11510734404 15347645872 17266101606 23021468808 34532203212 46042937616 69064406424 138128812848
• Sum of all divisors σ(n): 446545794240
• Sum of proper divisors (its aliquot sum) s(n): 308416981392
• 138128812848 is an abundant number, because the sum of its proper divisors (308416981392) is greater than itself. Its abundance is 170288168544

Bases of 138128812848

• Binary: 10000000101001000111100110101100110000₂
• Hexadecimal: 0x20291E6B30
• Base-36: 1RGEBU40

Squares and roots of 138128812848

• 138128812848 squared (138128812848²) is 19079568938797809871104
• 138128812848 cubed (138128812848³) is 2635438207167716645798011419144192
• The square root of 138128812848 is 371656.8482457979
• The cube root of 138128812848 is 5169.2566258185

Scales and comparisons

• 138,128,812,848 seconds is equal to 4,392 years, 3 weeks, 4 days, 2 hours, 40 minutes, 48 seconds.
• To count from 1 to 138,128,812,848 would take you about eight thousand, seven hundred eighty-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 138128812848 cubic inches would be around 430.8 feet tall.

Recreational maths with 138128812848

• 138128812848 backwards is 848218821831
• The number of decimal digits it has is: 12
• The sum of 138128812848's digits is 54
• More coming soon!