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23440666368 = 283731433271
BaseRepresentation
bin10101110101001011…
…000010111100000000
32020111121202020012110
4111311023002330000
5341001302310433
614433554455320
71456611243120
oct256513027400
966447666173
1023440666368
119a39710649
124662294540
13229746b6b2
1411c523ac80
15922d57963
hex5752c2f00

23440666368 has 288 divisors, whose sum is σ = 75333271552. Its totient is φ = 6328627200.

The previous prime is 23440666349. The next prime is 23440666369. The reversal of 23440666368 is 86366604432.

It is a happy number.

It is a super-2 number, since 2×234406663682 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23440666369) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7164573 + ... + 7167843.

Almost surely, 223440666368 is an apocalyptic number.

23440666368 is a gapful number since it is divisible by the number (28) 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 23440666368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37666635776).

23440666368 is an abundant number, since it is smaller than the sum of its proper divisors (51892605184).

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

23440666368 is a wasteful number, since it uses less digits than its factorization.

23440666368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3371 (or 3357 counting only the distinct ones).

The product of its (nonzero) digits is 2985984, while the sum is 48.

The spelling of 23440666368 in words is "twenty-three billion, four hundred forty million, six hundred sixty-six thousand, three hundred sixty-eight".