Search a number
-
+
139759087104 = 29327132343337
BaseRepresentation
bin1000001000101001001…
…0100110111000000000
3111100202001101020101100
42002022102212320000
54242211311241404
6144112054134400
713045234432230
oct2021222467000
9440661336340
10139759087104
11542a93a777a
1223105051400
13102439b17a0
146a9b639cc0
15397e9d4d39
hex208a4a6e00

139759087104 has 960 divisors, whose sum is σ = 531639972864. Its totient is φ = 34334834688.

The previous prime is 139759087103. The next prime is 139759087163. The reversal of 139759087104 is 401780957931.

It is a happy number.

139759087104 is a `hidden beast` number, since 1 + 39 + 7 + 590 + 8 + 7 + 10 + 4 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (139759087103) 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, 414715224 + ... + 414715560.

Almost surely, 2139759087104 is an apocalyptic number.

139759087104 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 139759087104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (265819986432).

139759087104 is an abundant number, since it is smaller than the sum of its proper divisors (391880885760).

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

139759087104 is a wasteful number, since it uses less digits than its factorization.

139759087104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 447 (or 428 counting only the distinct ones).

The product of its (nonzero) digits is 1905120, while the sum is 54.

The spelling of 139759087104 in words is "one hundred thirty-nine billion, seven hundred fifty-nine million, eighty-seven thousand, one hundred four".