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13400057880 = 2333511241261
BaseRepresentation
bin11000111101011010…
…01010100000011000
31021120212120110201000
430132231022200120
5204420403323010
610053401425000
7653031420066
oct143655124030
937525513630
1013400057880
115756a8a900
12271b79b160
131357233741
14911947036
155366277c0
hex31eb4a818

13400057880 has 576 divisors, whose sum is σ = 51148288800. Its totient is φ = 3117312000.

The previous prime is 13400057851. The next prime is 13400057897. The reversal of 13400057880 is 8875000431.

13400057880 is a `hidden beast` number, since 1 + 3 + 4 + 0 + 0 + 0 + 578 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 219673050 + ... + 219673110.

Almost surely, 213400057880 is an apocalyptic number.

13400057880 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 13400057880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25574144400).

13400057880 is an abundant number, since it is smaller than the sum of its proper divisors (37748230920).

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

13400057880 is a wasteful number, since it uses less digits than its factorization.

13400057880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 185 (or 123 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The spelling of 13400057880 in words is "thirteen billion, four hundred million, fifty-seven thousand, eight hundred eighty".