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234729868341312 = 263541596239449
BaseRepresentation
bin110101010111110001001110…
…011010111011000001000000
31010210002221211010001212100000
4311113301032122323001000
5221231303232243410222
62151121225102200000
7100304446646403021
oct6527611632730100
91123087733055300
10234729868341312
1168879418313563
12223b0279b83000
13a0c8c1597c116
1441d6db438ac48
151c20ce11999ac
hexd57c4e6bb040

234729868341312 has 336 divisors, whose sum is σ = 726861982392000. Its totient is φ = 75041092362240.

The previous prime is 234729868341181. The next prime is 234729868341317. The reversal of 234729868341312 is 213143868927432.

It is a happy number.

234729868341312 is a `hidden beast` number, since 2 + 3 + 4 + 72 + 98 + 68 + 3 + 413 + 1 + 2 = 666.

It is a super-2 number, since 2×2347298683413122 (a number of 30 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 234729868341312.

It is not an unprimeable number, because it can be changed into a prime (234729868341317) 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 47 ways as a sum of consecutive naturals, for example, 34500564 + ... + 40740012.

It is an arithmetic number, because the mean of its divisors is an integer number (2163279709500).

Almost surely, 2234729868341312 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 234729868341312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (363430991196000).

234729868341312 is an abundant number, since it is smaller than the sum of its proper divisors (492132114050688).

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

234729868341312 is an equidigital number, since it uses as much as digits as its factorization.

234729868341312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6239576 (or 6239554 counting only the distinct ones).

The product of its digits is 83607552, while the sum is 63.

The spelling of 234729868341312 in words is "two hundred thirty-four trillion, seven hundred twenty-nine billion, eight hundred sixty-eight million, three hundred forty-one thousand, three hundred twelve".