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234116140536 = 23332383643883
BaseRepresentation
bin1101101000001001101…
…0001100110111111000
3211101021221211012012000
43122002122030313320
512313432212444121
6255315041221000
722625421234405
oct3320232146770
9741257735160
10234116140536
1190319504573
1239459031760
13191003aac95
14b48d0732ac
156153615526
hex368268cdf8

234116140536 has 256 divisors, whose sum is σ = 688620441600. Its totient is φ = 73548300672.

The previous prime is 234116140507. The next prime is 234116140547. The reversal of 234116140536 is 635041611432.

234116140536 is a `hidden beast` number, since 2 + 3 + 4 + 1 + 1 + 614 + 0 + 5 + 36 = 666.

234116140536 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 234116140536.

It is a congruent number.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 265136751 + ... + 265137633.

It is an arithmetic number, because the mean of its divisors is an integer number (2689923600).

Almost surely, 2234116140536 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 234116140536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (344310220800).

234116140536 is an abundant number, since it is smaller than the sum of its proper divisors (454504301064).

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

234116140536 is a wasteful number, since it uses less digits than its factorization.

234116140536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1647 (or 1637 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

Adding to 234116140536 its reverse (635041611432), we get a palindrome (869157751968).

The spelling of 234116140536 in words is "two hundred thirty-four billion, one hundred sixteen million, one hundred forty thousand, five hundred thirty-six".