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11423412000 = 25325371113317
BaseRepresentation
bin10101010001110001…
…10110111100100000
31002111010011110022100
422220320312330200
5141343343141000
65125311210400
7553040254110
oct125070667440
932433143270
1011423412000
114932244570
122269816a00
1311008753b0
147a520b040
1546cd29a00
hex2a8e36f20

11423412000 has 1152 divisors, whose sum is σ = 54605311488. Its totient is φ = 2184192000.

The previous prime is 11423411999. The next prime is 11423412023. The reversal of 11423412000 is 21432411.

11423412000 is a `hidden beast` number, since 1 + 1 + 423 + 41 + 200 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 36035842 + ... + 36036158.

It is an arithmetic number, because the mean of its divisors is an integer number (47400444).

Almost surely, 211423412000 is an apocalyptic number.

11423412000 is a gapful number since it is divisible by the number (10) 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 11423412000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27302655744).

11423412000 is an abundant number, since it is smaller than the sum of its proper divisors (43181899488).

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

11423412000 is a wasteful number, since it uses less digits than its factorization.

11423412000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 379 (or 358 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 11423412000 its reverse (21432411), we get a palindrome (11444844411).

The spelling of 11423412000 in words is "eleven billion, four hundred twenty-three million, four hundred twelve thousand".