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14200774272 = 273212327061
BaseRepresentation
bin11010011100110111…
…01001111010000000
31100122200021002002200
431032123221322000
5213040344234042
610305043513200
71011623406156
oct151633517200
940580232080
1014200774272
116027a6a993
122903988800
1314540a7719
1498a01b3d6
15581a91c4c
hex34e6e9e80

14200774272 has 48 divisors (see below), whose sum is σ = 40864210530. Its totient is φ = 4733591040.

The previous prime is 14200774253. The next prime is 14200774321. The reversal of 14200774272 is 27247700241.

It is a happy number.

14200774272 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 8489042496 + 5711731776 = 92136^2 + 75576^2 .

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

It is a Harshad number since it is a multiple of its sum of digits (36).

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 5 ways as a sum of consecutive naturals, for example, 6162379 + ... + 6164682.

Almost surely, 214200774272 is an apocalyptic number.

14200774272 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

14200774272 is an abundant number, since it is smaller than the sum of its proper divisors (26663436258).

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

14200774272 is a wasteful number, since it uses less digits than its factorization.

14200774272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12327081 (or 12327066 counting only the distinct ones).

The product of its (nonzero) digits is 43904, while the sum is 36.

The spelling of 14200774272 in words is "fourteen billion, two hundred million, seven hundred seventy-four thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 288 384 576 1152 12327061 24654122 36981183 49308244 73962366 98616488 110943549 147924732 197232976 221887098 295849464 394465952 443774196 591698928 788931904 887548392 1183397856 1577863808 1775096784 2366795712 3550193568 4733591424 7100387136 14200774272