138193357824

Names of 138193357824

• Cardinal: 138193357824 can be written as One hundred thirty-eight billion, one hundred ninety-three million, three hundred fifty-seven thousand, eight hundred twenty-four.

Scientific notation

• Scientific notation: 1.38193357824 × 10¹¹

Factors of 138193357824

• Number of distinct prime factors ω(n): 4
• Total number of prime factors Ω(n): 16
• Sum of prime factors: 329

Divisors of 138193357824

• Number of divisors d(n): 264
• Complete list of divisors:
  1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 97 108 128 144 192 194 216 227 256 288 291 384 388 432 454 512 576 582 681 768 776 864 873 908 1024 1152 1164 1362 1536 1552 1728 1746 1816 2043 2304 2328 2619 2724 3072 3104 3456 3492 3632 4086 4608 4656 5238 5448 6129 6208 6912 6984 7264 8172 9216 9312 10476 10896 12258 12416 13824 13968 14528 16344 18624 20952 21792 22019 24516 24832 27648 27936 29056 32688 37248 41904 43584 44038 49032 49664 51529 55872 58112 65376 66057 74496 83808 87168 88076 98064 99328 103058 111744 116224 130752 132114 148992 154587 167616 174336 176152 196128 198171 206116 223488 232448 261504 264228 297984 309174 335232 348672 352304 392256 396342 412232 446976 463761 523008 528456 594513 618348 670464 697344 704608 784512 792684 824464 893952 927522 1046016 1056912 1189026 1236696 1340928 1391283 1409216 1569024 1585368 1648928 1855044 2092032 2113824 2378052 2473392 2681856 2782566 2818432 3138048 3170736 3297856 3710088 4227648 4756104 4946784 4998313 5565132 5636864 6276096 6341472 6595712 7420176 8455296 9512208 9893568 9996626 11130264 11273728 12682944 13191424 14840352 14994939 16910592 19024416 19787136 19993252 22260528 22547456 25365888 26382848 29680704 29989878 33821184 38048832 39574272 39986504 44521056 44984817 50731776 52765696 59361408 59979756 67642368 76097664 79148544 79973008 89042112 89969634 101463552 118722816 119959512 134954451 152195328 158297088 159946016 178084224 179939268 202927104 237445632 239919024 269908902 304390656 319892032 356168448 359878536 474891264 479838048 539817804 608781312 639784064 712336896 719757072 959676096 1079635608 1279568128 1424673792 1439514144 1919352192 2159271216 2559136256 2879028288 3838704384 4318542432 5118272512 5758056576 7677408768 8637084864 11516113152 15354817536 17274169728 23032226304 34548339456 46064452608 69096678912 138193357824
• Sum of all divisors σ(n): 415310589680
• Sum of proper divisors (its aliquot sum) s(n): 277117231856
• 138193357824 is an abundant number, because the sum of its proper divisors (277117231856) is greater than itself. Its abundance is 138923874032

Bases of 138193357824

• Binary: 10000000101100111101110100110000000000₂
• Hexadecimal: 0x202CF74C00
• Base-36: 1RHGR9C0

Squares and roots of 138193357824

• 138193357824 squared (138193357824²) is 19097404146672102014976
• 138193357824 cubed (138193357824³) is 2639134404750599172553809774772224
• The square root of 138193357824 is 371743.6722043833
• The cube root of 138193357824 is 5170.0616656507

Scales and comparisons

• 138,193,357,824 seconds is equal to 4,394 years, 6 weeks, 2 days, 3 hours, 50 minutes, 24 seconds.
• To count from 1 to 138,193,357,824 would take you about eight thousand, seven hundred eighty-eight 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 138193357824 cubic inches would be around 430.8 feet tall.

Recreational maths with 138193357824

• 138193357824 backwards is 428753391831
• 138193357824 is a Harshad number.
• The number of decimal digits it has is: 12
• The sum of 138193357824's digits is 54
• More coming soon!