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40130906929 = 163212292
BaseRepresentation
bin100101010111111111…
…010000101100110001
310211120210101022001021
4211113333100230301
51124142003010204
630234052335441
72620324036441
oct452777205461
9124523338037
1040130906929
111602393a393
12793b914581
133a27227a99
141d29b26121
15109d244154
hex957fd0b31

40130906929 has 9 divisors (see below), whose sum is σ = 40411500843. Its totient is φ = 39852252072.

The previous prime is 40130906927. The next prime is 40130906941. The reversal of 40130906929 is 92960903104.

The square root of 40130906929 is 200327.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 39610154529 + 520752400 = 199023^2 + 22820^2 .

It is not a de Polignac number, because 40130906929 - 21 = 40130906927 is a prime.

It is a super-2 number, since 2×401309069292 (a number of 22 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (40130906927) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 32652687 + ... + 32653915.

Almost surely, 240130906929 is an apocalyptic number.

40130906929 is the 200327-th square number.

40130906929 is the 100164-th centered octagonal number.

It is an amenable number.

40130906929 is a deficient number, since it is larger than the sum of its proper divisors (280593914).

40130906929 is an frugal number, since it uses more digits than its factorization.

40130906929 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2784 (or 1392 counting only the distinct ones).

The product of its (nonzero) digits is 104976, while the sum is 43.

The spelling of 40130906929 in words is "forty billion, one hundred thirty million, nine hundred six thousand, nine hundred twenty-nine".

Divisors: 1 163 1229 26569 200327 1510441 32653301 246201883 40130906929