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4006136086141 = 72476732584739
BaseRepresentation
bin111010010011000000010…
…100010111111001111101
3112011222112111211011200211
4322103000110113321331
51011114031314224031
612304220555352421
7562301533611100
oct72230024277175
915158474734624
104006136086141
111304aa1420a42
125484baa52711
13230a14131237
14dbc80254737
156e31ea24bb1
hex3a4c0517e7d

4006136086141 has 24 divisors (see below), whose sum is σ = 4766425983360. Its totient is φ = 3355775684352.

The previous prime is 4006136086133. The next prime is 4006136086153. The reversal of 4006136086141 is 1416806316004.

It is not a de Polignac number, because 4006136086141 - 23 = 4006136086133 is a prime.

It is a super-2 number, since 2×40061360861412 (a number of 26 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 4006136086094 and 4006136086103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4006136086441) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 257550 + ... + 2842288.

It is an arithmetic number, because the mean of its divisors is an integer number (198601082640).

Almost surely, 24006136086141 is an apocalyptic number.

It is an amenable number.

4006136086141 is a deficient number, since it is larger than the sum of its proper divisors (760289897219).

4006136086141 is a wasteful number, since it uses less digits than its factorization.

4006136086141 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2585473 (or 2585466 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 40.

The spelling of 4006136086141 in words is "four trillion, six billion, one hundred thirty-six million, eighty-six thousand, one hundred forty-one".

Divisors: 1 7 47 49 329 673 2303 4711 31631 32977 221417 1549919 2584739 18093173 121482733 126652211 850379131 1739529347 5952653917 12176705429 81757879309 85236938003 572305155163 4006136086141