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34130442423 = 3711361740849
BaseRepresentation
bin11111110010010101…
…010011100010110111
310021002121110010012010
4133302111103202313
51024344343124143
623402421455303
72315532655020
oct376225234267
9107077403163
1034130442423
1113524821610
126746271533
1332ac02877c
14191ac35c47
15d4b568a33
hex7f25538b7

34130442423 has 32 divisors (see below), whose sum is σ = 56753395200. Its totient is φ = 17724764160.

The previous prime is 34130442397. The next prime is 34130442433. The reversal of 34130442423 is 32424403143.

It is a happy number.

It is not a de Polignac number, because 34130442423 - 25 = 34130442391 is a prime.

It is a super-2 number, since 2×341304424232 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34130442433) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 815103 + ... + 855951.

It is an arithmetic number, because the mean of its divisors is an integer number (1773543600).

Almost surely, 234130442423 is an apocalyptic number.

34130442423 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

34130442423 is a deficient number, since it is larger than the sum of its proper divisors (22622952777).

34130442423 is a wasteful number, since it uses less digits than its factorization.

34130442423 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44487.

The product of its (nonzero) digits is 27648, while the sum is 30.

Adding to 34130442423 its reverse (32424403143), we get a palindrome (66554845566).

The spelling of 34130442423 in words is "thirty-four billion, one hundred thirty million, four hundred forty-two thousand, four hundred twenty-three".

Divisors: 1 3 7 11 21 33 77 231 3617 10851 25319 39787 40849 75957 119361 122547 278509 285943 449339 835527 857829 1348017 3145373 9436119 147750833 443252499 1034255831 1625259163 3102767493 4875777489 11376814141 34130442423