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14182229539968 = 27376777793393
BaseRepresentation
bin1100111001100000111011…
…0000001111110010000000
31212012210210221221201212120
43032120032300033302000
53324330201230234333
650055120514324240
72662426604031150
oct316301660176200
955183727851776
1014182229539968
114578716933186
12171073bb89680
137bb4bc7705c9
143705d03d4760
15198da420adb3
hexce60ec0fc80

14182229539968 has 128 divisors (see below), whose sum is σ = 43116796437120. Its totient is φ = 4046079737856.

The previous prime is 14182229539967. The next prime is 14182229539979. The reversal of 14182229539968 is 86993592228141.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×141822295399682 (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (14182229539967) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2076921 + ... + 5716472.

It is an arithmetic number, because the mean of its divisors is an integer number (336849972165).

Almost surely, 214182229539968 is an apocalyptic number.

It is an amenable number.

14182229539968 is an abundant number, since it is smaller than the sum of its proper divisors (28934566897152).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

14182229539968 is an equidigital number, since it uses as much as digits as its factorization.

14182229539968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7794094 (or 7794082 counting only the distinct ones).

The product of its digits is 134369280, while the sum is 69.

The spelling of 14182229539968 in words is "fourteen trillion, one hundred eighty-two billion, two hundred twenty-nine million, five hundred thirty-nine thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 128 168 192 224 336 384 448 672 677 896 1344 1354 2031 2688 2708 4062 4739 5416 8124 9478 10832 14217 16248 18956 21664 28434 32496 37912 43328 56868 64992 75824 86656 113736 129984 151648 227472 259968 303296 454944 606592 909888 1819776 7793393 15586786 23380179 31173572 46760358 54553751 62347144 93520716 109107502 124694288 163661253 187041432 218215004 249388576 327322506 374082864 436430008 498777152 654645012 748165728 872860016 997554304 1309290024 1496331456 1745720032 2618580048 2992662912 3491440064 5237160096 5276127061 6982880128 10474320192 10552254122 15828381183 20948640384 21104508244 31656762366 36932889427 42209016488 63313524732 73865778854 84418032976 110798668281 126627049464 147731557708 168836065952 221597336562 253254098928 295463115416 337672131904 443194673124 506508197856 590926230832 675344263808 886389346248 1013016395712 1181852461664 1772778692496 2026032791424 2363704923328 3545557384992 4727409846656 7091114769984 14182229539968