105142253387328

Names of 105142253387328

• Cardinal: 105142253387328 can be written as One hundred five trillion, one hundred forty-two billion, two hundred fifty-three million, three hundred eighty-seven thousand, three hundred twenty-eight.

Scientific notation

• Scientific notation: 1.05142253387328 × 10¹⁴

Factors of 105142253387328

• Number of distinct prime factors ω(n): 4
• Total number of prime factors Ω(n): 14
• Sum of prime factors: 287

Divisors of 105142253387328

• Number of divisors d(n): 336
• Complete list of divisors:
  1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 103 108 144 179 192 206 216 288 309 358 412 432 537 576 618 716 824 864 927 1074 1236 1432 1611 1648 1728 1854 2148 2472 2781 2864 3222 3296 3708 4296 4833 4944 5562 5728 6444 6592 7416 8592 9666 9888 10609 11124 11456 12888 14832 17184 18437 19332 19776 21218 22248 25776 29664 31827 32041 34368 36874 38664 42436 44496 51552 55311 59328 63654 64082 73748 77328 84872 88992 95481 96123 103104 110622 127308 128164 147496 154656 165933 169744 177984 190962 192246 221244 254616 256328 286443 288369 294992 309312 331866 339488 381924 384492 442488 497799 509232 512656 572886 576738 589984 663732 678976 763848 768984 865107 884976 995598 1018464 1025312 1145772 1153476 1179968 1327464 1527696 1537968 1730214 1769952 1899011 1991196 2036928 2050624 2291544 2306952 2654928 3055392 3075936 3300223 3460428 3539904 3798022 3982392 4583088 4613904 5309856 5697033 5735339 6110784 6151872 6600446 6920856 7596044 7964784 9166176 9227808 9900669 10619712 11394066 11470678 13200892 13841712 15192088 15929568 17091099 17206017 18332352 18455616 19801338 22788132 22941356 26401784 27683424 29702007 30384176 31859136 34182198 34412034 39602676 45576264 45882712 51273297 51618051 52803568 55366848 59404014 60768352 68364396 68824068 79205352 89106021 91152528 91765424 102546594 103236102 105607136 118808028 121536704 136728792 137648136 154854153 158410704 178212042 182305056 183530848 205093188 206472204 211214272 237616056 273457584 275296272 309708306 316821408 339922969 356424084 364610112 367061696 410186376 412944408 475232112 546915168 550592544 590739917 619416612 633642816 679845938 712848168 820372752 825888816 950464224 1019768907 1093830336 1101185088 1181479834 1238833224 1359691876 1425696336 1640745504 1651777632 1772219751 1900928448 2039537814 2362959668 2477666448 2719383752 2851392672 3059306721 3281491008 3303555264 3544439502 4079075628 4725919336 4955332896 5316659253 5438767504 5702785344 6118613442 7088879004 8158151256 9177920163 9451838672 9910665792 10633318506 10877535008 12237226884 14177758008 15949977759 16316302512 18355840326 18903677344 21266637012 21755070016 24474453768 28355516016 31899955518 32632605024 36711680652 37807354688 42533274024 48948907536 56711032032 60846211451 63799911036 65265210048 73423361304 85066548048 97897815072 113422064064 121692422902 127599822072 146846722608 170133096096 182538634353 195795630144 243384845804 255199644144 293693445216 340266192192 365077268706 486769691608 510399288288 547615903059 587386890432 730154537412 973539383216 1020798576576 1095231806118 1460309074824 1642847709177 1947078766432 2190463612236 2920618149648 3285695418354 3894157532864 4380927224472 5841236299296 6571390836708 8761854448944 11682472598592 13142781673416 17523708897888 26285563346832 35047417795776 52571126693664 105142253387328
• Sum of all divisors σ(n): 313882381022400
• Sum of proper divisors (its aliquot sum) s(n): 208740127635072
• 105142253387328 is an abundant number, because the sum of its proper divisors (208740127635072) is greater than itself. Its abundance is 103597874247744

Bases of 105142253387328

• Binary: 10111111010000001010110101010011111111001000000₂
• Hexadecimal: 0x5FA056A9FE40
• Base-36: 119POMZ2O0

Squares and roots of 105142253387328

• 105142253387328 squared (105142253387328²) is 11054893447365086289990979584
• 105142253387328 cubed (105142253387328³) is 1162336408012771855250087085668388892311552
• The square root of 105142253387328 is 10253889.6711115437
• The cube root of 105142253387328 is 47198.2352033539

Scales and comparisons

• 105,142,253,387,328 seconds is equal to 3,343,198 years, 22 weeks, 3 days, 28 minutes, 48 seconds.
• To count from 1 to 105,142,253,387,328 would take you about eight million, three hundred fifty-seven thousand, nine hundred ninety-six 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 105142253387328 cubic inches would be around 3933.2 feet tall.

Recreational maths with 105142253387328

• 105142253387328 backwards is 823783352241501
• 105142253387328 is a Harshad number.
• The number of decimal digits it has is: 15
• The sum of 105142253387328's digits is 54
• More coming soon!