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34132379281 = 7211134871183
BaseRepresentation
bin11111110010011100…
…101100011010010001
310021002202002112001121
4133302130230122101
51024400342114111
623402531202241
72315555302600
oct376234543221
9107082075047
1034132379281
1113525924820
126746a46381
1332ac556240
14191b1bba37
15d4b7ec871
hex7f272c691

34132379281 has 24 divisors (see below), whose sum is σ = 46646457984. Its totient is φ = 24550757280.

The previous prime is 34132379233. The next prime is 34132379291. The reversal of 34132379281 is 18297323143.

It is not a de Polignac number, because 34132379281 - 213 = 34132371089 is a prime.

It is a super-2 number, since 2×341323792812 (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (34132379291) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2428585 + ... + 2442598.

It is an arithmetic number, because the mean of its divisors is an integer number (1943602416).

Almost surely, 234132379281 is an apocalyptic number.

It is an amenable number.

34132379281 is a deficient number, since it is larger than the sum of its proper divisors (12514078703).

34132379281 is a wasteful number, since it uses less digits than its factorization.

34132379281 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4871221 (or 4871214 counting only the distinct ones).

The product of its digits is 217728, while the sum is 43.

The spelling of 34132379281 in words is "thirty-four billion, one hundred thirty-two million, three hundred seventy-nine thousand, two hundred eighty-one".

Divisors: 1 7 11 13 49 77 91 143 539 637 1001 7007 4871183 34098281 53583013 63325379 238687967 375081091 443277653 696579169 2625567637 3102943571 4876054183 34132379281