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23463743040 = 263455967229
BaseRepresentation
bin10101110110100011…
…000100111001000000
32020120020011122110000
4111312203010321000
5341023204234130
614440141240000
71460311345053
oct256643047100
966506148400
1023463743040
119a50742481
124669b63000
13229c18b32a
1411c8326a9a
15924db5260
hex5768c4e40

23463743040 has 560 divisors, whose sum is σ = 86522356800. Its totient is φ = 6032683008.

The previous prime is 23463743033. The next prime is 23463743053. The reversal of 23463743040 is 4034736432.

23463743040 is a `hidden beast` number, since 2 + 346 + 3 + 7 + 4 + 304 + 0 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 23463742986 and 23463743004.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 102461646 + ... + 102461874.

Almost surely, 223463743040 is an apocalyptic number.

23463743040 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 23463743040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43261178400).

23463743040 is an abundant number, since it is smaller than the sum of its proper divisors (63058613760).

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

23463743040 is a wasteful number, since it uses less digits than its factorization.

23463743040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 384 (or 365 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 36.

The spelling of 23463743040 in words is "twenty-three billion, four hundred sixty-three million, seven hundred forty-three thousand, forty".