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139183942464 = 26337194114771
BaseRepresentation
bin1000000110100000000…
…0100110101101000000
3111022020222010212021000
42001220000212231000
54240022042124324
6143535030532000
713025051663550
oct2015000465500
9438228125230
10139183942464
1154033786026
1222b84507000
13101817a9308
146a450c3160
1539492769c9
hex2068026b40

139183942464 has 448 divisors, whose sum is σ = 504280627200. Its totient is φ = 36752486400.

The previous prime is 139183942441. The next prime is 139183942481. The reversal of 139183942464 is 464249381931.

139183942464 is a `hidden beast` number, since 1 + 3 + 9 + 1 + 8 + 394 + 246 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 139183942464.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 9415399 + ... + 9430169.

It is an arithmetic number, because the mean of its divisors is an integer number (1125626400).

Almost surely, 2139183942464 is an apocalyptic number.

139183942464 is a gapful number since it is divisible by the number (14) 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 139183942464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (252140313600).

139183942464 is an abundant number, since it is smaller than the sum of its proper divisors (365096684736).

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

139183942464 is a wasteful number, since it uses less digits than its factorization.

139183942464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14859 (or 14843 counting only the distinct ones).

The product of its digits is 4478976, while the sum is 54.

The spelling of 139183942464 in words is "one hundred thirty-nine billion, one hundred eighty-three million, nine hundred forty-two thousand, four hundred sixty-four".