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139426899575040 = 283657112672633
BaseRepresentation
bin11111101100111011011010…
…110100100100000100000000
3200021200002012100200111000000
4133230323122310210010000
5121233332242242400130
61212311500004000000
741240155356042060
oct3754733264440400
9607602170614000
10139426899575040
1140475685a5a600
1213779a4a690000
135ca4b91a019cc
1426604257c73a0
15111bc30eb8260
hex7ecedad24100

139426899575040 has 3024 divisors, whose sum is σ = 638643687341184. Its totient is φ = 28528568893440.

The previous prime is 139426899575021. The next prime is 139426899575059. The reversal of 139426899575040 is 40575998624931.

139426899575040 is a `hidden beast` number, since 1 + 3 + 9 + 4 + 2 + 6 + 8 + 9 + 9 + 575 + 0 + 40 = 666.

It is an interprime number because it is at equal distance from previous prime (139426899575021) and next prime (139426899575059).

It is a tau number, because it is divible by the number of its divisors (3024).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a self number, because there is not a number n which added to its sum of digits gives 139426899575040.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 335 ways as a sum of consecutive naturals, for example, 52953625564 + ... + 52953628196.

It is a 1-persistent number, because it is pandigital, but 2⋅139426899575040 = 278853799150080 is not.

Almost surely, 2139426899575040 is an apocalyptic number.

139426899575040 is a gapful number since it is divisible by the number (10) 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 139426899575040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (319321843670592).

139426899575040 is an abundant number, since it is smaller than the sum of its proper divisors (499216787766144).

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

139426899575040 is an equidigital number, since it uses as much as digits as its factorization.

139426899575040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2768 (or 2728 counting only the distinct ones).

The product of its (nonzero) digits is 587865600, while the sum is 72.

The spelling of 139426899575040 in words is "one hundred thirty-nine trillion, four hundred twenty-six billion, eight hundred ninety-nine million, five hundred seventy-five thousand, forty".