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234002342578680 = 233351346735689151
BaseRepresentation
bin110101001101001011101010…
…100000011000100111111000
31010200112101221120222211211000
4311031023222200120213320
5221132343244200004210
62145403105300205000
7100201053122426454
oct6515135240304770
91120471846884730
10234002342578680
1168618921a59005
12222b327b099760
13a075431929190
1441adab94a3664
151c0be10805ac0
hexd4d2ea8189f8

234002342578680 has 256 divisors, whose sum is σ = 841807166054400. Its totient is φ = 57477233318400.

The previous prime is 234002342578651. The next prime is 234002342578733. The reversal of 234002342578680 is 86875243200432.

234002342578680 is a `hidden beast` number, since 2 + 3 + 4 + 0 + 0 + 2 + 3 + 4 + 2 + 578 + 68 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 11287896 + ... + 24401255.

It is an arithmetic number, because the mean of its divisors is an integer number (3288309242400).

Almost surely, 2234002342578680 is an apocalyptic number.

234002342578680 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

234002342578680 is an abundant number, since it is smaller than the sum of its proper divisors (607804823475720).

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

234002342578680 is a wasteful number, since it uses less digits than its factorization.

234002342578680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35689651 (or 35689641 counting only the distinct ones).

The product of its (nonzero) digits is 15482880, while the sum is 54.

The spelling of 234002342578680 in words is "two hundred thirty-four trillion, two billion, three hundred forty-two million, five hundred seventy-eight thousand, six hundred eighty".