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234112114104 = 233111946673069
BaseRepresentation
bin1101101000001000101…
…0110101110110111000
3211101021200020121221220
43122002022311312320
512313430200122404
6255314415032040
722625342064501
oct3320212656670
9741250217856
10234112114104
1190317204440
123945780b620
13190cc5cb38b
14b48c705ba8
1561530bc4d9
hex36822b5db8

234112114104 has 64 divisors (see below), whose sum is σ = 672092208000. Its totient is φ = 67209217920.

The previous prime is 234112114063. The next prime is 234112114129. The reversal of 234112114104 is 401411211432.

It is a happy number.

234112114104 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 (24).

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 15 ways as a sum of consecutive naturals, for example, 23331519 + ... + 23341550.

It is an arithmetic number, because the mean of its divisors is an integer number (10501440750).

Almost surely, 2234112114104 is an apocalyptic number.

234112114104 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

234112114104 is an abundant number, since it is smaller than the sum of its proper divisors (437980093896).

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

234112114104 is a wasteful number, since it uses less digits than its factorization.

234112114104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46673108 (or 46673104 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

Adding to 234112114104 its reverse (401411211432), we get a palindrome (635523325536).

The spelling of 234112114104 in words is "two hundred thirty-four billion, one hundred twelve million, one hundred fourteen thousand, one hundred four".

Divisors: 1 2 3 4 6 8 11 12 19 22 24 33 38 44 57 66 76 88 114 132 152 209 228 264 418 456 627 836 1254 1672 2508 5016 46673069 93346138 140019207 186692276 280038414 373384552 513403759 560076828 886788311 1026807518 1120153656 1540211277 1773576622 2053615036 2660364933 3080422554 3547153244 4107230072 5320729866 6160845108 7094306488 9754671421 10641459732 12321690216 19509342842 21282919464 29264014263 39018685684 58528028526 78037371368 117056057052 234112114104