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140936238144 = 26331323272777
BaseRepresentation
bin1000001101000001110…
…1000101010001000000
3111110210002101201001000
42003100131011101000
54302114134110034
6144424544412000
713116350154402
oct2032035052100
9443702351030
10140936238144
1154852917779
1223393317000
13103a0835b70
146b6dadcb72
1539ed00a599
hex20d0745440

140936238144 has 224 divisors, whose sum is σ = 465599312640. Its totient is φ = 41479409664.

The previous prime is 140936238137. The next prime is 140936238151. The reversal of 140936238144 is 441832639041.

140936238144 is a `hidden beast` number, since 1 + 4 + 0 + 9 + 3 + 623 + 8 + 14 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (140936238137) and next prime (140936238151).

It is a self number, because there is not a number n which added to its sum of digits gives 140936238144.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 380284 + ... + 653060.

It is an arithmetic number, because the mean of its divisors is an integer number (2078568360).

Almost surely, 2140936238144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 140936238144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (232799656320).

140936238144 is an abundant number, since it is smaller than the sum of its proper divisors (324663074496).

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

140936238144 is a wasteful number, since it uses less digits than its factorization.

140936238144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 272834 (or 272818 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 45.

The spelling of 140936238144 in words is "one hundred forty billion, nine hundred thirty-six million, two hundred thirty-eight thousand, one hundred forty-four".