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32141414123 = 72131710129387
BaseRepresentation
bin11101111011110001…
…110000111011101011
310001221222202000022022
4131323301300323223
51011311200222443
622433210015055
72215331340500
oct357361607353
9101858660268
1032141414123
11126a3a99175
12629011748b
133052c23350
1417ac9d54a7
15c81b21e68
hex77bc70eeb

32141414123 has 48 divisors (see below), whose sum is σ = 43057181664. Its totient is φ = 23696870400.

The previous prime is 32141414119. The next prime is 32141414233.

32141414123 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 32141414123 - 22 = 32141414119 is a prime.

It is an alternating number because its digits alternate between odd and even.

It is a junction number, because it is equal to n+sod(n) for n = 32141414092 and 32141414101.

It is not an unprimeable number, because it can be changed into a prime (32141414023) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1079036 + ... + 1108422.

It is an arithmetic number, because the mean of its divisors is an integer number (897024618).

Almost surely, 232141414123 is an apocalyptic number.

32141414123 is a deficient number, since it is larger than the sum of its proper divisors (10915767541).

32141414123 is a wasteful number, since it uses less digits than its factorization.

32141414123 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29532 (or 29525 counting only the distinct ones).

The product of its digits is 2304, while the sum is 26.

The spelling of 32141414123 in words is "thirty-two billion, one hundred forty-one million, four hundred fourteen thousand, one hundred twenty-three".

Divisors: 1 7 13 17 49 91 101 119 221 637 707 833 1313 1547 1717 4949 9191 10829 12019 22321 29387 64337 84133 156247 205709 382031 499579 1093729 1439963 2674217 2968087 3497053 6494527 18719519 20776609 24479371 38585131 45461689 50457479 145436263 270095917 318231823 353202353 655947227 1890671419 2472416471 4591630589 32141414123