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34131442545 = 3256129342437
BaseRepresentation
bin11111110010011001…
…000111101101110001
310021002200022221002200
4133302121013231301
51024400122130140
623402455133413
72315544321564
oct376231075561
9107080287080
1034131442545
1113525344a62
126746674269
1332ac2b8a65
14191b0164db
15d4b6b5030
hex7f2647b71

34131442545 has 48 divisors (see below), whose sum is σ = 60337669392. Its totient is φ = 17843489280.

The previous prime is 34131442523. The next prime is 34131442559. The reversal of 34131442545 is 54524413143.

34131442545 is a `hidden beast` number, since 3 + 41 + 31 + 4 + 42 + 545 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 2799256464 + 31332186081 = 52908^2 + 177009^2 .

It is not a de Polignac number, because 34131442545 - 26 = 34131442481 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 783067 + ... + 825503.

It is an arithmetic number, because the mean of its divisors is an integer number (1257034779).

Almost surely, 234131442545 is an apocalyptic number.

It is an amenable number.

34131442545 is a deficient number, since it is larger than the sum of its proper divisors (26206226847).

34131442545 is a wasteful number, since it uses less digits than its factorization.

34131442545 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42802 (or 42799 counting only the distinct ones).

The product of its digits is 115200, while the sum is 36.

Adding to 34131442545 its reverse (54524413143), we get a palindrome (88655855688).

The spelling of 34131442545 in words is "thirty-four billion, one hundred thirty-one million, four hundred forty-two thousand, five hundred forty-five".

Divisors: 1 3 5 9 15 45 61 183 293 305 549 879 915 1465 2637 2745 4395 13185 17873 42437 53619 89365 127311 160857 212185 268095 381933 636555 804285 1909665 2588657 7765971 12434041 12943285 23297913 37302123 38829855 62170205 111906369 116489565 186510615 559531845 758476501 2275429503 3792382505 6826288509 11377147515 34131442545