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4132136312314 = 273137206586157
BaseRepresentation
bin111100001000010110100…
…001000101110111111010
3112122000202200110212010021
4330020112201011313322
51020200103343443224
612442135513441054
7604352122063213
oct74102641056772
915560680425107
104132136312314
11135347a25086a
12568a0411018a
1323c87446329a
14103dd442840a
157274665a1e4
hex3c216845dfa

4132136312314 has 16 divisors (see below), whose sum is σ = 6328973536488. Its totient is φ = 2022891639552.

The previous prime is 4132136312309. The next prime is 4132136312321.

4132136312314 is nontrivially palindromic in base 10.

4132136312314 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 4116909986289 + 15226326025 = 2029017^2 + 123395^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 4132136312314.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 103273077 + ... + 103313080.

Almost surely, 24132136312314 is an apocalyptic number.

4132136312314 is a deficient number, since it is larger than the sum of its proper divisors (2196837224174).

4132136312314 is a wasteful number, since it uses less digits than its factorization.

4132136312314 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 206586369.

The product of its digits is 31104, while the sum is 34.

The spelling of 4132136312314 in words is "four trillion, one hundred thirty-two billion, one hundred thirty-six million, three hundred twelve thousand, three hundred fourteen".

Divisors: 1 2 73 137 146 274 10001 20002 206586157 413172314 15080789461 28302303509 30161578922 56604607018 2066068156157 4132136312314