138145135824

Names of 138145135824

• Cardinal: 138145135824 can be written as One hundred thirty-eight billion, one hundred forty-five million, one hundred thirty-five thousand, eight hundred twenty-four.

Scientific notation

• Scientific notation: 1.38145135824 × 10¹¹

Factors of 138145135824

• Number of distinct prime factors ω(n): 5
• Total number of prime factors Ω(n): 11
• Sum of prime factors: 11200

Divisors of 138145135824

• Number of divisors d(n): 200
• Complete list of divisors:
  1 2 3 4 6 8 9 12 16 18 24 27 31 36 48 54 62 72 81 93 108 124 144 162 186 216 248 279 317 324 372 432 496 558 634 648 744 837 951 1116 1268 1296 1488 1674 1902 2232 2511 2536 2853 3348 3804 4464 5022 5072 5706 6696 7608 8559 9827 10044 10847 11412 13392 15216 17118 19654 20088 21694 22824 25677 29481 32541 34236 39308 40176 43388 45648 51354 58962 65082 68472 78616 86776 88443 97623 102708 117924 130164 136944 157232 173552 176886 195246 205416 235848 260328 265329 292869 336257 353772 390492 410832 471696 520656 530658 585738 672514 707544 780984 795987 878607 1008771 1061316 1171476 1345028 1415088 1561968 1591974 1757214 2017542 2122632 2342952 2690056 3026313 3183948 3438499 3514428 4035084 4245264 4685904 5380112 6052626 6367896 6876998 7028856 8070168 9078939 10315497 12105252 12735792 13753996 14057712 16140336 18157878 20630994 24210504 27236817 27507992 30946491 36315756 41261988 48421008 54473634 55015984 61892982 72631512 82523976 92839473 106593469 108947268 123785964 145263024 165047952 185678946 213186938 217894536 247571928 278518419 319780407 371357892 426373876 435789072 495143856 557036838 639560814 742715784 852747752 959341221 1114073676 1279121628 1485431568 1705495504 1918682442 2228147352 2558243256 2878023663 3837364884 4456294704 5116486512 5756047326 7674729768 8634070989 11512094652 15349459536 17268141978 23024189304 34536283956 46048378608 69072567912 138145135824
• Sum of all divisors σ(n): 414070069248
• Sum of proper divisors (its aliquot sum) s(n): 275924933424
• 138145135824 is an abundant number, because the sum of its proper divisors (275924933424) is greater than itself. Its abundance is 137779797600

Bases of 138145135824

• Binary: 10000000101010000101110111110011010000₂
• Hexadecimal: 0x202A177CD0
• Base-36: 1RGO1P00

Squares and roots of 138145135824

• 138145135824 squared (138145135824²) is 19084078551831408158976
• 138145135824 cubed (138145135824³) is 2636372623618635104070921304756224
• The square root of 138145135824 is 371678.8073377335
• The cube root of 138145135824 is 5169.4602384863

Scales and comparisons

• 138,145,135,824 seconds is equal to 4,392 years, 30 weeks, 4 days, 50 minutes, 24 seconds.
• To count from 1 to 138,145,135,824 would take you about eight thousand, seven hundred eighty-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 138145135824 cubic inches would be around 430.8 feet tall.

Recreational maths with 138145135824

• 138145135824 backwards is 428531541831
• The number of decimal digits it has is: 12
• The sum of 138145135824's digits is 45
• More coming soon!