Search a number
-
+
139689563040 = 25335174674073
BaseRepresentation
bin1000001000011000100…
…1011001001110100000
3111100120012120001022000
42002012021121032200
54242041012004130
6144101132044000
713043431460166
oct2020611311640
9440505501260
10139689563040
1154273131275
12230a5903600
131023247b7a1
146a922dd236
153978850260
hex20862593a0

139689563040 has 384 divisors, whose sum is σ = 518908965120. Its totient is φ = 34975678464.

The previous prime is 139689563021. The next prime is 139689563053. The reversal of 139689563040 is 40365986931.

139689563040 is a `hidden beast` number, since 1 + 39 + 6 + 8 + 9 + 563 + 0 + 40 = 666.

It is a super-2 number, since 2×1396895630402 (a number of 23 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 34294444 + ... + 34298516.

It is an arithmetic number, because the mean of its divisors is an integer number (1351325430).

Almost surely, 2139689563040 is an apocalyptic number.

139689563040 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 139689563040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (259454482560).

139689563040 is an abundant number, since it is smaller than the sum of its proper divisors (379219402080).

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

139689563040 is a wasteful number, since it uses less digits than its factorization.

139689563040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4581 (or 4567 counting only the distinct ones).

The product of its (nonzero) digits is 4199040, while the sum is 54.

The spelling of 139689563040 in words is "one hundred thirty-nine billion, six hundred eighty-nine million, five hundred sixty-three thousand, forty".