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2139222889440 = 25325713127191673
BaseRepresentation
bin11111001000010011100…
…111101101001111100000
321120111201010021102102200
4133020103213231033200
5240022112024430230
64314425002413200
7310360636352640
oct37102347551740
97514633242380
102139222889440
1175526a60829a
122a6719501200
13126960128b20
1475778bd0520
153a9a5899160
hex1f2139ed3e0

2139222889440 has 1152 divisors, whose sum is σ = 9116418834432. Its totient is φ = 444792176640.

The previous prime is 2139222889423. The next prime is 2139222889471. The reversal of 2139222889440 is 449882229312.

2139222889440 is a `hidden beast` number, since 2 + 13 + 92 + 2 + 28 + 89 + 440 = 666.

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, 3178636944 + ... + 3178637616.

It is an arithmetic number, because the mean of its divisors is an integer number (7913558016).

Almost surely, 22139222889440 is an apocalyptic number.

2139222889440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2139222889440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4558209417216).

2139222889440 is an abundant number, since it is smaller than the sum of its proper divisors (6977195944992).

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

2139222889440 is a wasteful number, since it uses less digits than its factorization.

2139222889440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1032 (or 1021 counting only the distinct ones).

The product of its (nonzero) digits is 3981312, while the sum is 54.

The spelling of 2139222889440 in words is "two trillion, one hundred thirty-nine billion, two hundred twenty-two million, eight hundred eighty-nine thousand, four hundred forty".