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334112313443112 = 233220632633854299
BaseRepresentation
bin100101111110111111001010…
…1110000100000001100101000
31121210222211021120220002222200
41023331332111300200030220
5322243044004220134422
63142333024452220200
7130242550410534111
oct11375762560401450
91553884246802880
10334112313443112
1197505266715306
123158125590a660
131145786b20a629
145c7119d673208
1528960648652ac
hex12fdf95c20328

334112313443112 has 96 divisors (see below), whose sum is σ = 905671040976000. Its totient is φ = 111274378483968.

The previous prime is 334112313443089. The next prime is 334112313443141. The reversal of 334112313443112 is 211344313211433.

334112313443112 is a `hidden beast` number, since 3 + 3 + 41 + 1 + 231 + 344 + 31 + 12 = 666.

It is a super-2 number, since 2×3341123134431122 (a number of 30 digits) contains 22 as substring.

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

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 390668139 + ... + 391522437.

It is an arithmetic number, because the mean of its divisors is an integer number (9434073343500).

Almost surely, 2334112313443112 is an apocalyptic number.

It is an amenable number.

334112313443112 is an abundant number, since it is smaller than the sum of its proper divisors (571558727532888).

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

334112313443112 is a wasteful number, since it uses less digits than its factorization.

334112313443112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 859007 (or 859000 counting only the distinct ones).

The product of its digits is 62208, while the sum is 36.

Adding to 334112313443112 its reverse (211344313211433), we get a palindrome (545456626654545).

The spelling of 334112313443112 in words is "three hundred thirty-four trillion, one hundred twelve billion, three hundred thirteen million, four hundred forty-three thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 2063 2633 4126 5266 6189 7899 8252 10532 12378 15798 16504 18567 21064 23697 24756 31596 37134 47394 49512 63192 74268 94788 148536 189576 854299 1708598 2562897 3417196 5125794 5431879 6834392 7688691 10251588 10863758 15377382 16295637 20503176 21727516 30754764 32591274 43455032 48886911 61509528 65182548 97773822 130365096 195547644 391095288 1762418837 2249369267 3524837674 4498738534 5287256511 6748107801 7049675348 8997477068 10574513022 13496215602 14099350696 15861769533 17994954136 20244323403 21149026044 26992431204 31723539066 40488646806 42298052088 53984862408 63447078132 80977293612 126894156264 161954587224 4640448797821 9280897595642 13921346393463 18561795191284 27842692786926 37123590382568 41764039180389 55685385573852 83528078360778 111370771147704 167056156721556 334112313443112