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34130442325 = 527239199227
BaseRepresentation
bin11111110010010101…
…010011100001010101
310021002121110010001111
4133302111103201111
51024344343123300
623402421455021
72315532654520
oct376225234125
9107077403044
1034130442325
1113524821531
126746271471
1332ac028705
14191ac35bb7
15d4b5689ba
hex7f2553855

34130442325 has 48 divisors (see below), whose sum is σ = 50531051520. Its totient is φ = 22359395520.

The previous prime is 34130442323. The next prime is 34130442347. The reversal of 34130442325 is 52324403143.

It is a happy number.

It is not a de Polignac number, because 34130442325 - 21 = 34130442323 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34130442323) 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 47 ways as a sum of consecutive naturals, for example, 3694362 + ... + 3703588.

It is an arithmetic number, because the mean of its divisors is an integer number (1052730240).

Almost surely, 234130442325 is an apocalyptic number.

34130442325 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

It is an amenable number.

34130442325 is a deficient number, since it is larger than the sum of its proper divisors (16400609195).

34130442325 is a wasteful number, since it uses less digits than its factorization.

34130442325 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10186 (or 10181 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 31.

Adding to 34130442325 its reverse (52324403143), we get a palindrome (86454845468).

The spelling of 34130442325 in words is "thirty-four billion, one hundred thirty million, four hundred forty-two thousand, three hundred twenty-five".

Divisors: 1 5 7 23 25 35 115 161 175 575 805 919 4025 4595 6433 9227 21137 22975 32165 46135 64589 105685 147959 160825 212221 230675 322945 528425 739795 1061105 1485547 1614725 3698975 5305525 7427735 8479613 37138675 42398065 59357291 195031099 211990325 296786455 975155495 1365217693 1483932275 4875777475 6826088465 34130442325