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14173435104 = 253314762579
BaseRepresentation
bin11010011001100110…
…10111010011100000
31100120202211002210220
431030303113103200
5213011344410404
610302225523040
71011142132143
oct151463272340
940522732726
1014173435104
116013597634
1228b67a3480
13144b5248ba
1498654205a
1557e4914d9
hex34ccd74e0

14173435104 has 48 divisors (see below), whose sum is σ = 38405445120. Its totient is φ = 4572074880.

The previous prime is 14173435097. The next prime is 14173435139. The reversal of 14173435104 is 40153437141.

14173435104 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2378314 + ... + 2384265.

It is an arithmetic number, because the mean of its divisors is an integer number (800113440).

Almost surely, 214173435104 is an apocalyptic number.

It is an amenable number.

14173435104 is an abundant number, since it is smaller than the sum of its proper divisors (24232010016).

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

14173435104 is a wasteful number, since it uses less digits than its factorization.

14173435104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4762623 (or 4762615 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 33.

The spelling of 14173435104 in words is "fourteen billion, one hundred seventy-three million, four hundred thirty-five thousand, one hundred four".

Divisors: 1 2 3 4 6 8 12 16 24 31 32 48 62 93 96 124 186 248 372 496 744 992 1488 2976 4762579 9525158 14287737 19050316 28575474 38100632 57150948 76201264 114301896 147639949 152402528 228603792 295279898 442919847 457207584 590559796 885839694 1181119592 1771679388 2362239184 3543358776 4724478368 7086717552 14173435104