Search a number
-
+
139470710400 = 27325274911409
BaseRepresentation
bin1000000111100100011…
…0100010011010000000
3111022222221202011220200
42001321012202122000
54241114000213100
6144023313205200
713035133322640
oct2017106423200
9438887664820
10139470710400
115417064201a
1223044560800
13101c9023398
146a71210520
15396451ee00
hex20791a2680

139470710400 has 576 divisors, whose sum is σ = 570321086400. Its totient is φ = 31791513600.

The previous prime is 139470710371. The next prime is 139470710417. The reversal of 139470710400 is 4017074931.

139470710400 is a `hidden beast` number, since 139 + 470 + 7 + 10 + 40 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

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

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 71 ways as a sum of consecutive naturals, for example, 98984896 + ... + 98986304.

It is an arithmetic number, because the mean of its divisors is an integer number (990140775).

Almost surely, 2139470710400 is an apocalyptic number.

139470710400 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 139470710400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (285160543200).

139470710400 is an abundant number, since it is smaller than the sum of its proper divisors (430850376000).

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

139470710400 is a wasteful number, since it uses less digits than its factorization.

139470710400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1937 (or 1917 counting only the distinct ones).

The product of its (nonzero) digits is 21168, while the sum is 36.

The spelling of 139470710400 in words is "one hundred thirty-nine billion, four hundred seventy million, seven hundred ten thousand, four hundred".