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13711299840 = 283357192157
BaseRepresentation
bin11001100010100000…
…11101010100000000
31022101120020012102000
430301100131110000
5211040043043330
610144320424000
7663531061050
oct146120352400
938346205360
1013711299840
1158a6742567
1227a7a78000
1313a6869494
14941005560
15553b07560
hex33141d500

13711299840 has 864 divisors, whose sum is σ = 59061461760. Its totient is φ = 2950152192.

The previous prime is 13711299839. The next prime is 13711299851. The reversal of 13711299840 is 4899211731.

It is a tau number, because it is divible by the number of its divisors (864).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 87333042 + ... + 87333198.

Almost surely, 213711299840 is an apocalyptic number.

13711299840 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 13711299840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29530730880).

13711299840 is an abundant number, since it is smaller than the sum of its proper divisors (45350161920).

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

13711299840 is a wasteful number, since it uses less digits than its factorization.

13711299840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 232 (or 193 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 45.

The spelling of 13711299840 in words is "thirteen billion, seven hundred eleven million, two hundred ninety-nine thousand, eight hundred forty".