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34232140152 = 2332767920913
BaseRepresentation
bin11111111000011001…
…010000000101111000
310021100200210220020200
4133320121100011320
51030101411441102
623420453322200
72321206250610
oct377031200570
9107320726220
1034232140152
1113577172621
126774336360
1332c7114c42
14192a549a40
15d5545651c
hex7f8650178

34232140152 has 48 divisors (see below), whose sum is σ = 105956625840. Its totient is φ = 9780611328.

The previous prime is 34232140139. The next prime is 34232140207. The reversal of 34232140152 is 25104123243.

34232140152 is a `hidden beast` number, since 342 + 32 + 140 + 152 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 33959953 + ... + 33960960.

It is an arithmetic number, because the mean of its divisors is an integer number (2207429705).

Almost surely, 234232140152 is an apocalyptic number.

It is an amenable number.

34232140152 is an abundant number, since it is smaller than the sum of its proper divisors (71724485688).

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

34232140152 is a wasteful number, since it uses less digits than its factorization.

34232140152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67920932 (or 67920925 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

Adding to 34232140152 its reverse (25104123243), we get a palindrome (59336263395).

The spelling of 34232140152 in words is "thirty-four billion, two hundred thirty-two million, one hundred forty thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 56 63 72 84 126 168 252 504 67920913 135841826 203762739 271683652 407525478 475446391 543367304 611288217 815050956 950892782 1222576434 1426339173 1630101912 1901785564 2445152868 2852678346 3803571128 4279017519 4890305736 5705356692 8558035038 11410713384 17116070076 34232140152