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34152500142 = 2324253446123
BaseRepresentation
bin11111110011101001…
…011100101110101110
310021011010221202200200
4133303221130232232
51024421020001032
623404530334330
72316221314155
oct376351345656
9107133852620
1034152500142
1113536217932
12675172a3a6
1332b377c687
14191db3859c
15d4d47447c
hex7f3a5cbae

34152500142 has 24 divisors (see below), whose sum is σ = 74014648344. Its totient is φ = 11381464464.

The previous prime is 34152500141. The next prime is 34152500167. The reversal of 34152500142 is 24100525143.

34152500142 is a `hidden beast` number, since 3 + 4 + 15 + 2 + 500 + 142 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34152500141) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 146508 + ... + 299615.

It is an arithmetic number, because the mean of its divisors is an integer number (3083943681).

Almost surely, 234152500142 is an apocalyptic number.

34152500142 is an abundant number, since it is smaller than the sum of its proper divisors (39862148202).

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

34152500142 is a wasteful number, since it uses less digits than its factorization.

34152500142 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 450384 (or 450381 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

The spelling of 34152500142 in words is "thirty-four billion, one hundred fifty-two million, five hundred thousand, one hundred forty-two".

Divisors: 1 2 3 6 9 18 4253 8506 12759 25518 38277 76554 446123 892246 1338369 2676738 4015107 8030214 1897361119 3794722238 5692083357 11384166714 17076250071 34152500142