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23402412000 = 2533531119699
BaseRepresentation
bin10101110010111001…
…000111011111100000
32020101221202201002000
4111302321013133200
5340412004141000
614430110524000
71455635135262
oct256271073740
966357681060
1023402412000
119a1a062570
124651506600
13228c566586
1411c011db32
1591e7ed000
hex572e477e0

23402412000 has 384 divisors, whose sum is σ = 92933568000. Its totient is φ = 5673024000.

The previous prime is 23402411987. The next prime is 23402412013. The reversal of 23402412000 is 21420432.

23402412000 is a `hidden beast` number, since 23 + 402 + 41 + 200 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (23402411987) and next prime (23402412013).

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 pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1178151 + ... + 1197849.

It is an arithmetic number, because the mean of its divisors is an integer number (242014500).

Almost surely, 223402412000 is an apocalyptic number.

23402412000 is a gapful number since it is divisible by the number (20) 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 23402412000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46466784000).

23402412000 is an abundant number, since it is smaller than the sum of its proper divisors (69531156000).

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

23402412000 is a wasteful number, since it uses less digits than its factorization.

23402412000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19744 (or 19720 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

Adding to 23402412000 its reverse (21420432), we get a palindrome (23423832432).

The spelling of 23402412000 in words is "twenty-three billion, four hundred two million, four hundred twelve thousand".