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234400124112 = 2437112322912041
BaseRepresentation
bin1101101001001101010…
…1100000110011010000
3211102000202012001102020
43122103111200303100
512320022412432422
6255403144051440
722635440116020
oct3322325406320
9742022161366
10234400124112
1190454839640
1239518163b80
131914718b8bb
14b4b8a77a80
15616d50d95c
hex3693560cd0

234400124112 has 320 divisors, whose sum is σ = 791280783360. Its totient is φ = 57976934400.

The previous prime is 234400124083. The next prime is 234400124219. The reversal of 234400124112 is 211421004432.

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 (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 19460812 + ... + 19472852.

It is an arithmetic number, because the mean of its divisors is an integer number (2472752448).

Almost surely, 2234400124112 is an apocalyptic number.

234400124112 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 234400124112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (395640391680).

234400124112 is an abundant number, since it is smaller than the sum of its proper divisors (556880659248).

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

234400124112 is a wasteful number, since it uses less digits than its factorization.

234400124112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12322 (or 12316 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 234400124112 its reverse (211421004432), we get a palindrome (445821128544).

The spelling of 234400124112 in words is "two hundred thirty-four billion, four hundred million, one hundred twenty-four thousand, one hundred twelve".