Search a number
-
+
139748313600 = 29325272191303
BaseRepresentation
bin1000001000100110100…
…1100000101000000000
3111100201022002212220200
42002021221200220000
54242201032013400
6144111031205200
713045044031500
oct2021151405000
9440638085820
10139748313600
11542a3309455
1223101516800
13102416abb2c
146a9a033a00
15397daa7b00
hex2089a60a00

139748313600 has 1080 divisors, whose sum is σ = 612862604640. Its totient is φ = 30238064640.

The previous prime is 139748313577. The next prime is 139748313631. The reversal of 139748313600 is 6313847931.

139748313600 is a `hidden beast` number, since 1 + 3 + 9 + 7 + 4 + 8 + 31 + 3 + 600 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 107250549 + ... + 107251851.

Almost surely, 2139748313600 is an apocalyptic number.

139748313600 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 139748313600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (306431302320).

139748313600 is an abundant number, since it is smaller than the sum of its proper divisors (473114291040).

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

139748313600 is a wasteful number, since it uses less digits than its factorization.

139748313600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1370 (or 1339 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 45.

The spelling of 139748313600 in words is "one hundred thirty-nine billion, seven hundred forty-eight million, three hundred thirteen thousand, six hundred".