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14008868808672 = 2531248711686211
BaseRepresentation
bin1100101111011011000110…
…1001100010011111100000
31211121020100011011010002210
43023312301221202133200
53314010130403334142
645443330244242120
72644051554106443
oct313666151423740
954536304133083
1014008868808672
114511145260931
1216a30199a0340
137a805248c42a
1436606629365a
1519460981349c
hexcbdb1a627e0

14008868808672 has 48 divisors (see below), whose sum is σ = 36776228694912. Its totient is φ = 4669248577920.

The previous prime is 14008868808667. The next prime is 14008868808679. The reversal of 14008868808672 is 27680886880041.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14008868808679) 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 7 ways as a sum of consecutive naturals, for example, 4644354 + ... + 7041857.

It is an arithmetic number, because the mean of its divisors is an integer number (766171431144).

Almost surely, 214008868808672 is an apocalyptic number.

14008868808672 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

14008868808672 is an abundant number, since it is smaller than the sum of its proper divisors (22767359886240).

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

14008868808672 is a wasteful number, since it uses less digits than its factorization.

14008868808672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11698711 (or 11698703 counting only the distinct ones).

The product of its (nonzero) digits is 66060288, while the sum is 66.

The spelling of 14008868808672 in words is "fourteen trillion, eight billion, eight hundred sixty-eight million, eight hundred eight thousand, six hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 12487 24974 37461 49948 74922 99896 149844 199792 299688 399584 599376 1198752 11686211 23372422 35058633 46744844 70117266 93489688 140234532 186979376 280469064 373958752 560938128 1121876256 145925716757 291851433514 437777150271 583702867028 875554300542 1167405734056 1751108601084 2334811468112 3502217202168 4669622936224 7004434404336 14008868808672