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140564560896 = 2103319299227
BaseRepresentation
bin1000001011101001001…
…1001111110000000000
3111102211012000112201000
42002322103033300000
54300334011422041
6144324030212000
713104215024304
oct2027223176000
9442735015630
10140564560896
11546820370a1
12232aa954000
131034182ccb6
146b365cbd04
1539ca58dbb6
hex20ba4cfc00

140564560896 has 352 divisors, whose sum is σ = 453353184000. Its totient is φ = 42853515264.

The previous prime is 140564560861. The next prime is 140564560909. The reversal of 140564560896 is 698065465041.

140564560896 is a `hidden beast` number, since 14 + 0 + 5 + 64 + 560 + 8 + 9 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

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, 15229435 + ... + 15238661.

Almost surely, 2140564560896 is an apocalyptic number.

140564560896 is a gapful number since it is divisible by the number (16) 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 140564560896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (226676592000).

140564560896 is an abundant number, since it is smaller than the sum of its proper divisors (312788623104).

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

140564560896 is a wasteful number, since it uses less digits than its factorization.

140564560896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9304 (or 9280 counting only the distinct ones).

The product of its (nonzero) digits is 6220800, while the sum is 54.

The spelling of 140564560896 in words is "one hundred forty billion, five hundred sixty-four million, five hundred sixty thousand, eight hundred ninety-six".