12135051947184768

Names of 12135051947184768

• Cardinal: 12135051947184768 can be written as Twelve quadrillion, one hundred thirty-five trillion, fifty-one billion, nine hundred forty-seven million, one hundred eighty-four thousand, seven hundred sixty-eight.

Scientific notation

• Scientific notation: 1.2135051947184768 × 10¹⁶

Factors of 12135051947184768

• Number of distinct prime factors ω(n): 6
• Total number of prime factors Ω(n): 13
• Sum of prime factors: 81906117

Divisors of 12135051947184768

• Number of divisors d(n): 384
• Complete list of divisors:
  1 2 3 4 6 7 8 9 12 14 16 18 19 21 24 28 32 36 38 42 48 56 57 63 64 72 76 84 96 112 114 126 128 133 144 152 168 171 192 224 228 252 266 288 304 336 342 384 399 448 456 504 532 576 608 672 684 798 896 912 967 1008 1064 1152 1197 1216 1344 1368 1596 1824 1934 2016 2128 2394 2432 2688 2736 2901 3192 3648 3868 4032 4256 4788 5472 5802 6384 6769 7296 7736 8064 8512 8703 9576 10944 11604 12768 13538 15472 17024 17406 18373 19152 20307 21888 23208 25536 27076 30944 34812 36746 38304 40614 46416 51072 54152 55119 60921 61888 69624 73492 76608 81228 92832 108304 110238 121842 123776 128611 139248 146984 153216 162456 165357 185664 216608 220476 243684 257222 278496 293968 324912 330714 371328 385833 433216 440952 487368 514444 556992 587936 649824 661428 771666 866432 881904 974736 1028888 1113984 1157499 1175872 1299648 1322856 1543332 1763808 1949472 2057776 2314998 2351744 2599296 2645712 3086664 3527616 3898944 4115552 4629996 5291424 6173328 7055232 7797888 8231104 9259992 10582848 12346656 16462208 18519984 21165696 24693312 37039968 49386624 74079936 81905119 148159872 163810238 245715357 327620476 491430714 573335833 655240952 737146071 982861428 1146671666 1310481904 1474292142 1556197261 1720007499 1965722856 2293343332 2620963808 2948584284 3112394522 3440014998 3931445712 4586686664 4668591783 5160022497 5241927616 5897168568 6224789044 6880029996 7862891424 9173373328 9337183566 10320044994 10483855232 10893380827 11794337136 12449578088 13760059992 14005775349 15725782848 18346746656 18674367132 20640089988 21786761654 23588674272 24899156176 27520119984 28011550698 31451565696 32680142481 36693493312 37348734264 41280179976 43573523308 47177348544 49798312352 55040239968 56023101396 65360284962 73386986624 74697468528 79202250073 82560359952 87147046616 94354697088 98040427443 99596624704 110080479936 112046202792 130720569924 149394937056 158404500146 165120719904 174294093232 196080854886 199193249408 220160959872 224092405584 237606750219 261441139848 298789874112 316809000292 330241439808 348588186464 392161709772 448184811168 475213500438 522882279696 554415750511 597579748224 633618000584 660482879616 697176372928 712820250657 784323419544 896369622336 950427000876 1045764559392 1108831501022 1267236001168 1394352745856 1425640501314 1504842751387 1568646839088 1663247251533 1792739244672 1900854001752 2091529118784 2217663002044 2534472002336 2851281002628 3009685502774 3137293678176 3326494503066 3801708003504 4183058237568 4435326004088 4514528254161 4989741754599 5068944004672 5702562005256 6019371005548 6274587356352 6652989006132 7603416007008 8870652008176 9029056508322 9979483509198 10137888009344 10533899259709 11405124010512 12038742011096 12549174712704 13305978012264 13543584762483 15206832014016 17741304016352 18058113016644 19958967018396 21067798519418 22810248021024 24077484022192 26611956024528 27087169524966 30413664028032 31601697779127 35482608032704 36116226033288 39917934036792 42135597038836 45620496042048 48154968044384 53223912049056 54174339049932 63203395558254 70965216065408 72232452066576 79835868073584 84271194077672 91240992084096 94805093337381 96309936088768 106447824098112 108348678099864 126406791116508 144464904133152 159671736147168 168542388155344 189610186674762 192619872177536 212895648196224 216697356199728 252813582233016 288929808266304 319343472294336 337084776310688 379220373349524 433394712399456 505627164466032 577859616532608 638686944588672 674169552621376 758440746699048 866789424798912 1011254328932064 1348339105242752 1516881493398096 1733578849597824 2022508657864128 3033762986796192 4045017315728256 6067525973592384 12135051947184768
• Sum of all divisors σ(n): 42052316427264000
• Sum of proper divisors (its aliquot sum) s(n): 29917264480079232
• 12135051947184768 is an abundant number, because the sum of its proper divisors (29917264480079232) is greater than itself. Its abundance is 17782212532894464

Bases of 12135051947184768

• Binary: 101011000111001100001111110100101001001001001010000000₂
• Hexadecimal: 0x2B1CC3F4A49280
• Base-36: 3BHILWJLI80

Squares and roots of 12135051947184768

• 12135051947184768 squared (12135051947184768²) is 147259485760872829365320731213824
• 12135051947184768 cubed (12135051947184768³) is 1787001509423907445074099064531950185380243832832
• The square root of 12135051947184768 is 110159211.8126521819
• The cube root of 12135051947184768 is 229798.5125602053

Scales and comparisons

• 12,135,051,947,184,768 seconds is equal to 385,857,115 years, 38 weeks, 3 days, 10 hours, 52 minutes, 48 seconds.
• To count from 1 to 12,135,051,947,184,768 would take you about one billion, one hundred fifty-seven million, five hundred seventy-one thousand, three hundred forty-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 12135051947184768 cubic inches would be around 19149.9 feet tall.

Recreational maths with 12135051947184768

• 12135051947184768 backwards is 86748174915053121
• 12135051947184768 is a Harshad number.
• The number of decimal digits it has is: 17
• The sum of 12135051947184768's digits is 72
• More coming soon!