138346728576

Names of 138346728576

• Cardinal: 138346728576 can be written as One hundred thirty-eight billion, three hundred forty-six million, seven hundred twenty-eight thousand, five hundred seventy-six.

Scientific notation

• Scientific notation: 1.38346728576 × 10¹¹

Factors of 138346728576

• Number of distinct prime factors ω(n): 5
• Total number of prime factors Ω(n): 14
• Sum of prime factors: 1136

Divisors of 138346728576

• Number of divisors d(n): 384
• Complete list of divisors:
  1 2 3 4 6 7 8 12 14 16 21 24 28 31 32 42 48 49 56 62 64 84 93 96 98 112 124 128 147 168 186 192 196 217 224 248 294 336 343 372 384 392 434 448 496 588 651 672 686 744 784 868 896 961 992 1029 1093 1176 1302 1344 1372 1488 1519 1568 1736 1922 1984 2058 2186 2352 2604 2688 2744 2883 2976 3038 3136 3279 3472 3844 3968 4116 4372 4557 4704 5208 5488 5766 5952 6076 6272 6558 6727 6944 7651 7688 8232 8744 9114 9408 10416 10633 10976 11532 11904 12152 13116 13454 13888 15302 15376 16464 17488 18228 18816 20181 20832 21266 21952 22953 23064 24304 26232 26908 27776 30604 30752 31899 32928 33883 34976 36456 40362 41664 42532 43904 45906 46128 47089 48608 52464 53557 53816 61208 61504 63798 65856 67766 69952 72912 80724 83328 85064 91812 92256 94178 97216 101649 104928 107114 107632 122416 123008 127596 131712 135532 139904 141267 145824 160671 161448 170128 183624 184512 188356 194432 203298 209856 214228 215264 237181 244832 255192 271064 282534 291648 321342 322896 329623 340256 367248 369024 374899 376712 406596 419712 428456 430528 474362 489664 510384 542128 565068 583296 642684 645792 659246 680512 711543 734496 749798 753424 813192 856912 861056 948724 979328 988869 1020768 1050373 1084256 1124697 1130136 1285368 1291584 1318492 1361024 1423086 1468992 1499596 1506848 1626384 1660267 1713824 1897448 1977738 2041536 2100746 2168512 2249394 2260272 2570736 2583168 2636984 2846172 2937984 2999192 3013696 3151119 3252768 3320534 3427648 3794896 3955476 4083072 4201492 4337024 4498788 4520544 4980801 5141472 5273968 5692344 5998384 6027392 6302238 6505536 6641068 6855296 7352611 7589792 7910952 8402984 8997576 9041088 9961602 10282944 10547936 11384688 11621869 11996768 12604476 13011072 13282136 14705222 15179584 15821904 16805968 17995152 18082176 19923204 20565888 21095872 22057833 22769376 23243738 23993536 25208952 26564272 29410444 30359168 31643808 33611936 34865607 35990304 39846408 42191744 44115666 45538752 46487476 47987072 50417904 51468277 53128544 58820888 63287616 67223872 69731214 71980608 79692816 88231332 91077504 92974952 100835808 102936554 106257088 117641776 126575232 134447744 139462428 143961216 154404831 159385632 176462664 185949904 201671616 205873108 212514176 235283552 278924856 308809662 318771264 352925328 360277939 371899808 403343232 411746216 470567104 557849712 617619324 637542528 705850656 720555878 743799616 823492432 941134208 1080833817 1115699424 1235238648 1411701312 1441111756 1487599232 1646984864 2161667634 2231398848 2470477296 2823402624 2882223512 3293969728 4323335268 4462797696 4940954592 5764447024 6587939456 8646670536 9881909184 11528894048 17293341072 19763818368 23057788096 34586682144 46115576192 69173364288 138346728576
• Sum of all divisors σ(n): 443227536000
• Sum of proper divisors (its aliquot sum) s(n): 304880807424
• 138346728576 is an abundant number, because the sum of its proper divisors (304880807424) is greater than itself. Its abundance is 166534078848

Bases of 138346728576

• Binary: 10000000110110000110111000110010000000₂
• Hexadecimal: 0x20361B8C80
• Base-36: 1RK02IYO

Squares and roots of 138346728576

• 138346728576 squared (138346728576²) is 19139817307681414987776
• 138346728576 cubed (138346728576³) is 2647931110060027799193464629886976
• The square root of 138346728576 is 371949.9006264149
• The cube root of 138346728576 is 5171.9735836037

Scales and comparisons

• 138,346,728,576 seconds is equal to 4,398 years, 51 weeks, 6 days, 6 hours, 49 minutes, 36 seconds.
• To count from 1 to 138,346,728,576 would take you about eight thousand, seven hundred ninety-seven 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 138346728576 cubic inches would be around 431 feet tall.

Recreational maths with 138346728576

• 138346728576 backwards is 675827643831
• The number of decimal digits it has is: 12
• The sum of 138346728576's digits is 60
• More coming soon!