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34142002254 = 2331277495113
BaseRepresentation
bin11111110011000001…
…011001110001001110
310021010102012102022000
4133303001121301032
51024410323033004
623403513333130
72316033142113
oct376301316116
9107112172260
1034142002254
11135302a7698
12674a1071a6
1332b15452c9
14191c5a490a
15d4c59dc39
hex7f3059c4e

34142002254 has 32 divisors (see below), whose sum is σ = 75930683040. Its totient is φ = 11371732416.

The previous prime is 34142002243. The next prime is 34142002259. The reversal of 34142002254 is 45220024143.

34142002254 is a `hidden beast` number, since 3 + 414 + 20 + 0 + 225 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34142002259) 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 15 ways as a sum of consecutive naturals, for example, 178599 + ... + 316514.

It is an arithmetic number, because the mean of its divisors is an integer number (2372833845).

Almost surely, 234142002254 is an apocalyptic number.

34142002254 is an abundant number, since it is smaller than the sum of its proper divisors (41788680786).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

34142002254 is a wasteful number, since it uses less digits than its factorization.

34142002254 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 496401 (or 496395 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 27.

Adding to 34142002254 its reverse (45220024143), we get a palindrome (79362026397).

The spelling of 34142002254 in words is "thirty-four billion, one hundred forty-two million, two thousand, two hundred fifty-four".

Divisors: 1 2 3 6 9 18 27 54 1277 2554 3831 7662 11493 22986 34479 68958 495113 990226 1485339 2970678 4456017 8912034 13368051 26736102 632259301 1264518602 1896777903 3793555806 5690333709 11380667418 17071001127 34142002254