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23414162112 = 26321123110837
BaseRepresentation
bin10101110011100101…
…111100001011000000
32020102202212200012100
4111303211330023000
5340423011141422
614431210430400
71456140044205
oct256345741300
966382780170
1023414162112
119a25758600
124655432400
132291b1b8c3
1411c18dbcac
1592086e7ac
hex57397c2c0

23414162112 has 252 divisors, whose sum is σ = 76154897728. Its totient is φ = 6865689600.

The previous prime is 23414162069. The next prime is 23414162147. The reversal of 23414162112 is 21126141432.

23414162112 is a `hidden beast` number, since 2 + 34 + 1 + 4 + 1 + 621 + 1 + 2 = 666.

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

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 35 ways as a sum of consecutive naturals, for example, 2155158 + ... + 2165994.

Almost surely, 223414162112 is an apocalyptic number.

23414162112 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 23414162112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38077448864).

23414162112 is an abundant number, since it is smaller than the sum of its proper divisors (52740735616).

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

23414162112 is a wasteful number, since it uses less digits than its factorization.

23414162112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10908 (or 10884 counting only the distinct ones).

The product of its digits is 2304, while the sum is 27.

The spelling of 23414162112 in words is "twenty-three billion, four hundred fourteen million, one hundred sixty-two thousand, one hundred twelve".