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14038244094204 = 22351131271373419
BaseRepresentation
bin1100110001001000100010…
…0011010111000011111100
31211201001011100221020100000
43030102020203113003330
53320000310442003304
645505025202434300
72646141526653351
oct314221043270374
954631140836300
1014038244094204
1145226498a6710
1216a8857662990
137aaa542b46a5
14367651760628
1519527868b939
hexcc4888d70fc

14038244094204 has 576 divisors, whose sum is σ = 41804250808320. Its totient is φ = 4080837024000.

The previous prime is 14038244094157. The next prime is 14038244094241. The reversal of 14038244094204 is 40249044283041.

14038244094204 is a `hidden beast` number, since 1 + 4 + 0 + 38 + 2 + 4 + 409 + 4 + 204 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 14038244094204.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 33504162307 + ... + 33504162725.

It is an arithmetic number, because the mean of its divisors is an integer number (72576824320).

Almost surely, 214038244094204 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14038244094204, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20902125404160).

14038244094204 is an abundant number, since it is smaller than the sum of its proper divisors (27766006714116).

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

14038244094204 is a wasteful number, since it uses less digits than its factorization.

14038244094204 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1124 (or 1110 counting only the distinct ones).

The product of its (nonzero) digits is 884736, while the sum is 45.

The spelling of 14038244094204 in words is "fourteen trillion, thirty-eight billion, two hundred forty-four million, ninety-four thousand, two hundred four".