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34130133431 = 409320326053
BaseRepresentation
bin11111110010010100…
…001000000110110111
310021002120212102022222
4133302110020012313
51024344303232211
623402411112555
72315530230122
oct376224100667
9107076772288
1034130133431
1113524630449
12674614275b
1332abc4ac34
14191ab953b9
15d4b5071db
hex7f25081b7

34130133431 has 8 divisors (see below), whose sum is σ = 34225576560. Its totient is φ = 34034749632.

The previous prime is 34130133391. The next prime is 34130133449. The reversal of 34130133431 is 13433103143.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-34130133431 is a prime.

It is a super-4 number, since 4×341301334314 (a number of 43 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 34130133431.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34130133461) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1297001 + ... + 1323053.

It is an arithmetic number, because the mean of its divisors is an integer number (4278197070).

Almost surely, 234130133431 is an apocalyptic number.

34130133431 is a deficient number, since it is larger than the sum of its proper divisors (95443129).

34130133431 is a wasteful number, since it uses less digits than its factorization.

34130133431 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29665.

The product of its (nonzero) digits is 3888, while the sum is 26.

Adding to 34130133431 its reverse (13433103143), we get a palindrome (47563236574).

The spelling of 34130133431 in words is "thirty-four billion, one hundred thirty million, one hundred thirty-three thousand, four hundred thirty-one".

Divisors: 1 409 3203 26053 1310027 10655677 83447759 34130133431