Search a number
-
+
139100969779200 = 2143552111329337
BaseRepresentation
bin11111101000001011110111…
…111001000100000000000000
3200020111220220202021100100000
4133220023313321010000000
5121213012241230413300
61211502034153200000
741204466463351122
oct3750136771040000
9606456822240300
10139100969779200
114035a4320a3970
1213726849400000
135c8021bb40150
14264c746a27212
1511135071c1c00
hex7e82f7e44000

139100969779200 has 4320 divisors, whose sum is σ = 629864302354560. Its totient is φ = 29964946636800.

The previous prime is 139100969779193. The next prime is 139100969779207. The reversal of 139100969779200 is 2977969001931.

139100969779200 is a `hidden beast` number, since 1 + 391 + 0 + 0 + 96 + 9 + 77 + 92 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (139100969779193) and next prime (139100969779207).

It is a tau number, because it is divible by the number of its divisors (4320).

It is not an unprimeable number, because it can be changed into a prime (139100969779207) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 412762521432 + ... + 412762521768.

Almost surely, 2139100969779200 is an apocalyptic number.

139100969779200 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 139100969779200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (314932151177280).

139100969779200 is an abundant number, since it is smaller than the sum of its proper divisors (490763332575360).

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

139100969779200 is a wasteful number, since it uses less digits than its factorization.

139100969779200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 443 (or 400 counting only the distinct ones).

The product of its (nonzero) digits is 11573604, while the sum is 63.

The spelling of 139100969779200 in words is "one hundred thirty-nine trillion, one hundred billion, nine hundred sixty-nine million, seven hundred seventy-nine thousand, two hundred".