Search a number
-
+
139554140544 = 27347132359109
BaseRepresentation
bin1000000111111000010…
…0110011000110000000
3111100012202201212120000
42001332010303012000
54241301324444134
6144035453320000
713040165423340
oct2017604630600
9440182655500
10139554140544
1154203746355
1223068496000
13102103b4b30
146a7c32ad20
15396b9eee99
hex207e133180

139554140544 has 1280 divisors, whose sum is σ = 547392384000. Its totient is φ = 34291040256.

The previous prime is 139554140507. The next prime is 139554140563. The reversal of 139554140544 is 445041455931.

139554140544 is a `hidden beast` number, since 1 + 3 + 9 + 554 + 1 + 40 + 54 + 4 = 666.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 139554140544.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 1280313162 + ... + 1280313270.

It is an arithmetic number, because the mean of its divisors is an integer number (427650300).

Almost surely, 2139554140544 is an apocalyptic number.

139554140544 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 139554140544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (273696192000).

139554140544 is an abundant number, since it is smaller than the sum of its proper divisors (407838243456).

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

139554140544 is a wasteful number, since it uses less digits than its factorization.

139554140544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 237 (or 216 counting only the distinct ones).

The product of its (nonzero) digits is 864000, while the sum is 45.

The spelling of 139554140544 in words is "one hundred thirty-nine billion, five hundred fifty-four million, one hundred forty thousand, five hundred forty-four".