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139413630240 = 253252997127271
BaseRepresentation
bin1000000111010110110…
…0110010110100100000
3111022211222100012122200
42001311230302310200
54241004342131430
6144013513533200
713033541206323
oct2016554626440
9438758305580
10139413630240
11541413a5935
1223029414200
13101ba259441
146a677d27ba
15395e4e7460
hex2075b32d20

139413630240 has 576 divisors, whose sum is σ = 502992322560. Its totient is φ = 35115171840.

The previous prime is 139413630229. The next prime is 139413630241. The reversal of 139413630240 is 42036314931.

139413630240 is a `hidden beast` number, since 1 + 3 + 9 + 4 + 13 + 630 + 2 + 4 + 0 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 139413630195 and 139413630204.

It is not an unprimeable number, because it can be changed into a prime (139413630241) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 514441305 + ... + 514441575.

It is an arithmetic number, because the mean of its divisors is an integer number (873250560).

Almost surely, 2139413630240 is an apocalyptic number.

139413630240 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 139413630240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (251496161280).

139413630240 is an abundant number, since it is smaller than the sum of its proper divisors (363578692320).

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

139413630240 is a wasteful number, since it uses less digits than its factorization.

139413630240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 545 (or 534 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 36.

The spelling of 139413630240 in words is "one hundred thirty-nine billion, four hundred thirteen million, six hundred thirty thousand, two hundred forty".