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14145107674311 = 327834120062019
BaseRepresentation
bin1100110111010110101000…
…0111100100010011000111
31212002020222212121120110100
43031311222013210103013
53323223140031034221
650030101152055143
72656643645261445
oct315655207442307
955066885546410
1014145107674311
1145639a757a069
1217054bbb344b3
137b7b54a74423
1436c8ac189b95
15197e30244926
hexcdd6a1e44c7

14145107674311 has 12 divisors (see below), whose sum is σ = 20432084020920. Its totient is φ = 9429950940720.

The previous prime is 14145107674309. The next prime is 14145107674343. The reversal of 14145107674311 is 11347670154141.

14145107674311 is a `hidden beast` number, since 1 + 4 + 14 + 510 + 76 + 7 + 43 + 11 = 666.

It is not a de Polignac number, because 14145107674311 - 21 = 14145107674309 is a prime.

It is a super-2 number, since 2×141451076743112 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14145107676311) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 9325941 + ... + 10736078.

It is an arithmetic number, because the mean of its divisors is an integer number (1702673668410).

Almost surely, 214145107674311 is an apocalyptic number.

14145107674311 is a deficient number, since it is larger than the sum of its proper divisors (6286976346609).

14145107674311 is a wasteful number, since it uses less digits than its factorization.

14145107674311 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20140366 (or 20140363 counting only the distinct ones).

The product of its (nonzero) digits is 282240, while the sum is 45.

The spelling of 14145107674311 in words is "fourteen trillion, one hundred forty-five billion, one hundred seven million, six hundred seventy-four thousand, three hundred eleven".

Divisors: 1 3 9 78341 235023 705069 20062019 60186057 180558171 1571678630479 4715035891437 14145107674311