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40129711812 = 22321114714217
BaseRepresentation
bin100101010111111010…
…101100111011000100
310211120201010120122200
4211113322230323010
51124141201234222
630234010554500
72620310631231
oct452772547304
9124521116580
1040129711812
11160231a3493
12793b438a30
133a26bc9b08
141d298d4788
15109d0a9eac
hex957eacec4

40129711812 has 18 divisors (see below), whose sum is σ = 101438993838. Its totient is φ = 13376570592.

The previous prime is 40129711789. The next prime is 40129711847. The reversal of 40129711812 is 21811792104.

40129711812 is a `hidden beast` number, since 401 + 2 + 9 + 71 + 181 + 2 = 666.

It can be written as a sum of positive squares in only one way, i.e., 39630457476 + 499254336 = 199074^2 + 22344^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a super-2 number, since 2×401297118122 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36), and also a Moran number because the ratio is a prime number: 1114714217 = 40129711812 / (4 + 0 + 1 + 2 + 9 + 7 + 1 + 1 + 8 + 1 + 2).

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 557357073 + ... + 557357144.

Almost surely, 240129711812 is an apocalyptic number.

It is an amenable number.

40129711812 is an abundant number, since it is smaller than the sum of its proper divisors (61309282026).

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

40129711812 is a wasteful number, since it uses less digits than its factorization.

40129711812 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1114714227 (or 1114714222 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 36.

The spelling of 40129711812 in words is "forty billion, one hundred twenty-nine million, seven hundred eleven thousand, eight hundred twelve".

Divisors: 1 2 3 4 6 9 12 18 36 1114714217 2229428434 3344142651 4458856868 6688285302 10032427953 13376570604 20064855906 40129711812