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14814963144 = 2332205763377
BaseRepresentation
bin11011100110000101…
…00110010111001000
31102020110222002211200
431303002212113020
5220320112310034
610450024024200
71033062052242
oct156302462710
942213862750
1014814963144
11631272a0a3
122a55602060
1315214006a7
14a07819092
155ba963a99
hex3730a65c8

14814963144 has 24 divisors (see below), whose sum is σ = 40123858710. Its totient is φ = 4938321024.

The previous prime is 14814963143. The next prime is 14814963169. The reversal of 14814963144 is 44136941841.

14814963144 is a `hidden beast` number, since 1 + 4 + 8 + 1 + 4 + 9 + 631 + 4 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 14667632100 + 147331044 = 121110^2 + 12138^2 .

It is a tau number, because it is divible by the number of its divisors (24).

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 14814963144.

It is not an unprimeable number, because it can be changed into a prime (14814963143) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 102881617 + ... + 102881760.

Almost surely, 214814963144 is an apocalyptic number.

It is an amenable number.

14814963144 is an abundant number, since it is smaller than the sum of its proper divisors (25308895566).

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

14814963144 is a wasteful number, since it uses less digits than its factorization.

14814963144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 205763389 (or 205763382 counting only the distinct ones).

The product of its digits is 331776, while the sum is 45.

The spelling of 14814963144 in words is "fourteen billion, eight hundred fourteen million, nine hundred sixty-three thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 205763377 411526754 617290131 823053508 1234580262 1646107016 1851870393 2469160524 3703740786 4938321048 7407481572 14814963144