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23442141330 = 232517127223541
BaseRepresentation
bin10101110101010000…
…101011000010010010
32020111201112011110200
4111311100223002102
5341002142010310
614434050240030
71456626625236
oct256520530222
966451464420
1023442141330
119a3a528823
124662886016
132297866b5a
1411c55025c6
159230499c0
hex57542b092

23442141330 has 192 divisors, whose sum is σ = 65455423488. Its totient is φ = 5800273920.

The previous prime is 23442141323. The next prime is 23442141367. The reversal of 23442141330 is 3314124432.

23442141330 is a `hidden beast` number, since 234 + 421 + 4 + 1 + 3 + 3 + 0 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 23442141294 and 23442141303.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 43330860 + ... + 43331400.

It is an arithmetic number, because the mean of its divisors is an integer number (340913664).

Almost surely, 223442141330 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23442141330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32727711744).

23442141330 is an abundant number, since it is smaller than the sum of its proper divisors (42013282158).

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

23442141330 is a wasteful number, since it uses less digits than its factorization.

23442141330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 921 (or 918 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

Adding to 23442141330 its reverse (3314124432), we get a palindrome (26756265762).

The spelling of 23442141330 in words is "twenty-three billion, four hundred forty-two million, one hundred forty-one thousand, three hundred thirty".