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34131430025 = 52711154311491
BaseRepresentation
bin11111110010011001…
…000100101010001001
310021002200022021220222
4133302121010222021
51024400121230100
623402454555425
72315544240230
oct376231045211
9107080267828
1034131430025
1113525336610
126746668b75
1332ac2b3154
14191b011b17
15d4b6b1485
hex7f2644a89

34131430025 has 48 divisors (see below), whose sum is σ = 52805096448. Its totient is φ = 21261096000.

The previous prime is 34131429973. The next prime is 34131430049. The reversal of 34131430025 is 52003413143.

It is not a de Polignac number, because 34131430025 - 28 = 34131429769 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 34131429976 and 34131430003.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2964530 + ... + 2976020.

It is an arithmetic number, because the mean of its divisors is an integer number (1100106176).

Almost surely, 234131430025 is an apocalyptic number.

34131430025 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

It is an amenable number.

34131430025 is a deficient number, since it is larger than the sum of its proper divisors (18673666423).

34131430025 is a wasteful number, since it uses less digits than its factorization.

34131430025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13062 (or 13057 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 26.

Adding to 34131430025 its reverse (52003413143), we get a palindrome (86134843168).

The spelling of 34131430025 in words is "thirty-four billion, one hundred thirty-one million, four hundred thirty thousand, twenty-five".

Divisors: 1 5 7 11 25 35 55 77 175 275 385 1543 1925 7715 10801 11491 16973 38575 54005 57455 80437 84865 118811 126401 270025 287275 402185 424325 594055 632005 884807 2010925 2970275 3160025 4424035 17730613 22120175 88653065 124114291 195036743 443265325 620571455 975183715 1365257201 3102857275 4875918575 6826286005 34131430025