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23442102040 = 23573167173233
BaseRepresentation
bin10101110101010000…
…100001011100011000
32020111201110011120111
4111311100201130120
5341002134231130
614434045334104
71456626402550
oct256520413430
966451404514
1023442102040
119a3a501255
124662867334
132297851cc6
1411c54d2160
1592303d02a
hex575421718

23442102040 has 256 divisors, whose sum is σ = 63790571520. Its totient is φ = 7584952320.

The previous prime is 23442102031. The next prime is 23442102041. The reversal of 23442102040 is 4020124432.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23442102041) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 100609764 + ... + 100609996.

It is an arithmetic number, because the mean of its divisors is an integer number (249181920).

Almost surely, 223442102040 is an apocalyptic number.

23442102040 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 23442102040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31895285760).

23442102040 is an abundant number, since it is smaller than the sum of its proper divisors (40348469480).

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

23442102040 is a wasteful number, since it uses less digits than its factorization.

23442102040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 522 (or 518 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 22.

Adding to 23442102040 its reverse (4020124432), we get a palindrome (27462226472).

The spelling of 23442102040 in words is "twenty-three billion, four hundred forty-two million, one hundred two thousand, forty".