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14052225456 = 243297584899
BaseRepresentation
bin11010001011001001…
…11111000110110000
31100021022202000102200
431011210333012300
5212234332203311
610242215543200
71005140642223
oct150544770660
940238660380
1014052225456
115a61129a75
12288208ab00
13142c396209
149743cd5ba
155739ec556
hex34593f1b0

14052225456 has 30 divisors (see below), whose sum is σ = 39326714700. Its totient is φ = 4684075104.

The previous prime is 14052225427. The next prime is 14052225547. The reversal of 14052225456 is 65452225041.

14052225456 is a `hidden beast` number, since 1 + 40 + 52 + 22 + 545 + 6 = 666.

14052225456 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a self number, because there is not a number n which added to its sum of digits gives 14052225456.

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, 48792306 + ... + 48792593.

It is an arithmetic number, because the mean of its divisors is an integer number (1310890490).

Almost surely, 214052225456 is an apocalyptic number.

14052225456 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

14052225456 is an abundant number, since it is smaller than the sum of its proper divisors (25274489244).

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

14052225456 is a wasteful number, since it uses less digits than its factorization.

14052225456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 97584913 (or 97584904 counting only the distinct ones).

The product of its (nonzero) digits is 96000, while the sum is 36.

The spelling of 14052225456 in words is "fourteen billion, fifty-two million, two hundred twenty-five thousand, four hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 97584899 195169798 292754697 390339596 585509394 780679192 878264091 1171018788 1561358384 1756528182 2342037576 3513056364 4684075152 7026112728 14052225456