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34132431123 = 32744913217
BaseRepresentation
bin11111110010011100…
…111001000100010011
310021002202012011011200
4133302130321010103
51024400400243443
623402532242243
72315555610000
oct376234710423
9107082164150
1034132431123
111352595a76a
126746a70383
1332ac573a0b
14191b1d28a7
15d4b80cdd3
hex7f2739113

34132431123 has 60 divisors (see below), whose sum is σ = 57651100728. Its totient is φ = 19458472320.

The previous prime is 34132431119. The next prime is 34132431149. The reversal of 34132431123 is 32113423143.

It is a happy number.

34132431123 is a `hidden beast` number, since 3 + 4 + 1 + 324 + 311 + 23 = 666.

It is not a de Polignac number, because 34132431123 - 22 = 34132431119 is a prime.

It is a super-2 number, since 2×341324311232 (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (34132931123) 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 59 ways as a sum of consecutive naturals, for example, 10608411 + ... + 10611627.

Almost surely, 234132431123 is an apocalyptic number.

34132431123 is a deficient number, since it is larger than the sum of its proper divisors (23518669605).

34132431123 is an equidigital number, since it uses as much as digits as its factorization.

34132431123 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3742 (or 3718 counting only the distinct ones).

The product of its digits is 5184, while the sum is 27.

Adding to 34132431123 its reverse (32113423143), we get a palindrome (66245854266).

The spelling of 34132431123 in words is "thirty-four billion, one hundred thirty-two million, four hundred thirty-one thousand, one hundred twenty-three".

Divisors: 1 3 7 9 21 49 63 147 343 441 491 1029 1473 2401 3087 3217 3437 4419 7203 9651 10311 21609 22519 24059 28953 30933 67557 72177 157633 168413 202671 216531 472899 505239 1103431 1178891 1418697 1515717 1579547 3310293 3536673 4738641 7724017 9930879 10610019 11056829 14215923 23172051 33170487 69516153 77397803 99511461 232193409 541784621 696580227 1625353863 3792492347 4876061589 11377477041 34132431123