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34134055425 = 335263180141
BaseRepresentation
bin11111110010100011…
…000101101000000001
310021002212020200022000
4133302203011220001
51024401304233200
623403031134213
72315605453401
oct376243055001
9107085220260
1034134055425
111352686a068
126747514369
1332ac9c2142
14191b4d6801
15d4ba2e300
hex7f28c5a01

34134055425 has 48 divisors (see below), whose sum is σ = 62805682560. Its totient is φ = 18175752000.

The previous prime is 34134055379. The next prime is 34134055433. The reversal of 34134055425 is 52455043143.

34134055425 is a `hidden beast` number, since 3 + 41 + 3 + 40 + 554 + 25 = 666.

It is not a de Polignac number, because 34134055425 - 28 = 34134055169 is a prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 34134055425.

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, 385855 + ... + 465995.

It is an arithmetic number, because the mean of its divisors is an integer number (1308451720).

Almost surely, 234134055425 is an apocalyptic number.

It is an amenable number.

34134055425 is a deficient number, since it is larger than the sum of its proper divisors (28671627135).

34134055425 is a wasteful number, since it uses less digits than its factorization.

34134055425 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80791 (or 80780 counting only the distinct ones).

The product of its (nonzero) digits is 144000, while the sum is 36.

Adding to 34134055425 its reverse (52455043143), we get a palindrome (86589098568).

The spelling of 34134055425 in words is "thirty-four billion, one hundred thirty-four million, fifty-five thousand, four hundred twenty-five".

Divisors: 1 3 5 9 15 25 27 45 75 135 225 631 675 1893 3155 5679 9465 15775 17037 28395 47325 80141 85185 141975 240423 400705 425925 721269 1202115 2003525 2163807 3606345 6010575 10819035 18031725 50568971 54095175 151706913 252844855 455120739 758534565 1264224275 1365362217 2275603695 3792672825 6826811085 11378018475 34134055425