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14098053024 = 25331131109439
BaseRepresentation
bin11010010000100111…
…10011011110100000
31100101111222022001000
431020103303132200
5212333100144044
610250534112000
71006235321256
oct151023633640
940344868030
1014098053024
115a84a8a9a0
1228954ab600
131438a20413
1497a51c5d6
15577a50d69
hex3484f37a0

14098053024 has 384 divisors, whose sum is σ = 46835712000. Its totient is φ = 4087065600.

The previous prime is 14098053023. The next prime is 14098053043. The reversal of 14098053024 is 42035089041.

14098053024 is a `hidden beast` number, since 1 + 40 + 9 + 80 + 530 + 2 + 4 = 666.

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 14098053024.

It is not an unprimeable number, because it can be changed into a prime (14098053023) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 32113797 + ... + 32114235.

It is an arithmetic number, because the mean of its divisors is an integer number (121968000).

Almost surely, 214098053024 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 14098053024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23417856000).

14098053024 is an abundant number, since it is smaller than the sum of its proper divisors (32737658976).

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

14098053024 is a wasteful number, since it uses less digits than its factorization.

14098053024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 609 (or 595 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The spelling of 14098053024 in words is "fourteen billion, ninety-eight million, fifty-three thousand, twenty-four".