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34042344133 = 725639123203
BaseRepresentation
bin11111101101000101…
…001111001011000101
310020212110200021001111
4133231011033023011
51024204320003013
623345553325021
72313413102500
oct375505171305
9106773607044
1034042344133
111348a01a006
126720866771
1332969c12c5
14190d262137
15d4396573d
hex7ed14f2c5

34042344133 has 12 divisors (see below), whose sum is σ = 39607621920. Its totient is φ = 29173740792.

The previous prime is 34042344109. The next prime is 34042344139. The reversal of 34042344133 is 33144324043.

It is not a de Polignac number, because 34042344133 - 25 = 34042344101 is a prime.

It is a super-3 number, since 3×340423441333 (a number of 33 digits) contains 333 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 34042344095 and 34042344104.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34042344139) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 214710 + ... + 337912.

It is an arithmetic number, because the mean of its divisors is an integer number (3300635160).

Almost surely, 234042344133 is an apocalyptic number.

It is an amenable number.

34042344133 is a deficient number, since it is larger than the sum of its proper divisors (5565277787).

34042344133 is a wasteful number, since it uses less digits than its factorization.

34042344133 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 128856 (or 128849 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 31.

Adding to 34042344133 its reverse (33144324043), we get a palindrome (67186668176).

The spelling of 34042344133 in words is "thirty-four billion, forty-two million, three hundred forty-four thousand, one hundred thirty-three".

Divisors: 1 7 49 5639 39473 123203 276311 862421 6036947 694741717 4863192019 34042344133