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139427366400 = 2932527374673
BaseRepresentation
bin1000000111011010000…
…1001100011000000000
3111022212221012002010100
42001312201030120000
54241021401211100
6144015124202400
713034066026410
oct2016641143000
9438787162110
10139427366400
1154149128033
1223031b39400
13101c005874a
146a6956a640
15396080c400
hex207684c600

139427366400 has 720 divisors, whose sum is σ = 585791373024. Its totient is φ = 31001149440.

The previous prime is 139427366389. The next prime is 139427366443. The reversal of 139427366400 is 4663724931.

139427366400 is a `hidden beast` number, since 139 + 42 + 73 + 6 + 6 + 400 = 666.

139427366400 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (720).

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 71 ways as a sum of consecutive naturals, for example, 29834464 + ... + 29839136.

Almost surely, 2139427366400 is an apocalyptic number.

139427366400 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 139427366400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (292895686512).

139427366400 is an abundant number, since it is smaller than the sum of its proper divisors (446364006624).

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

139427366400 is a wasteful number, since it uses less digits than its factorization.

139427366400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4751 (or 4727 counting only the distinct ones).

The product of its (nonzero) digits is 653184, while the sum is 45.

The spelling of 139427366400 in words is "one hundred thirty-nine billion, four hundred twenty-seven million, three hundred sixty-six thousand, four hundred".