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14076493969158 = 23231175731435537
BaseRepresentation
bin1100110011010111000001…
…1011000011011100000110
31211211200220001211012121100
43030311300123003130012
53321112124424003113
645534352502200530
72651664433353645
oct314656033033406
954750801735540
1014076493969158
114537897965915
1216b4151423146
137b153b8ba3aa
1436943d71935c
151962666bcd73
hexccd706c3706

14076493969158 has 48 divisors (see below), whose sum is σ = 31484724725376. Its totient is φ = 4540542946560.

The previous prime is 14076493969151. The next prime is 14076493969193. The reversal of 14076493969158 is 85196939467041.

It is a happy number.

14076493969158 is a `hidden beast` number, since 1 + 4 + 0 + 76 + 493 + 9 + 69 + 1 + 5 + 8 = 666.

It is a super-3 number, since 3×140764939691583 (a number of 40 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14076493969151) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9087966 + ... + 10523502.

It is an arithmetic number, because the mean of its divisors is an integer number (655931765112).

Almost surely, 214076493969158 is an apocalyptic number.

14076493969158 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

14076493969158 is an abundant number, since it is smaller than the sum of its proper divisors (17408230756218).

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

14076493969158 is a wasteful number, since it uses less digits than its factorization.

14076493969158 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1453149 (or 1453146 counting only the distinct ones).

The product of its (nonzero) digits is 352719360, while the sum is 72.

The spelling of 14076493969158 in words is "fourteen trillion, seventy-six billion, four hundred ninety-three million, nine hundred sixty-nine thousand, one hundred fifty-eight".

Divisors: 1 2 3 6 9 18 31 62 93 186 279 558 17573 35146 52719 105438 158157 316314 544763 1089526 1435537 1634289 2871074 3268578 4306611 4902867 8613222 9805734 12919833 25839666 44501647 89003294 133504941 267009882 400514823 801029646 25226691701 50453383402 75680075103 151360150206 227040225309 454080450618 782027442731 1564054885462 2346082328193 4692164656386 7038246984579 14076493969158