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4001629131 = 321150338653
BaseRepresentation
bin1110111010000100…
…0000001111001011
3101022212202211012100
43232201000033023
531143404113011
61501024444443
7201110200143
oct35641001713
911285684170
104001629131
1117738a7215
12938179723
134ba0720b6
1429d659923
15186497d56
hexee8403cb

4001629131 has 12 divisors (see below), whose sum is σ = 5780783008. Its totient is φ = 2667451824.

The previous prime is 4001629129. The next prime is 4001629147. The reversal of 4001629131 is 1319261004.

4001629131 is a `hidden beast` number, since 4 + 0 + 0 + 1 + 629 + 1 + 31 = 666.

It is not a de Polignac number, because 4001629131 - 21 = 4001629129 is a prime.

It is a super-2 number, since 2×40016291312 = 32026071404135630322, which contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 4001629095 and 4001629104.

It is not an unprimeable number, because it can be changed into a prime (4001629231) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 84201 + ... + 122853.

Almost surely, 24001629131 is an apocalyptic number.

4001629131 is a deficient number, since it is larger than the sum of its proper divisors (1779153877).

4001629131 is a wasteful number, since it uses less digits than its factorization.

4001629131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50162 (or 50159 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 4001629131 is about 63258.4313036610. The cubic root of 4001629131 is about 1587.6165297393.

The spelling of 4001629131 in words is "four billion, one million, six hundred twenty-nine thousand, one hundred thirty-one".

Divisors: 1 3 9 11503 34509 38653 103527 115959 347877 444625459 1333876377 4001629131