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23441124336 = 2437211330641
BaseRepresentation
bin10101110101001100…
…110010101111110000
32020111122121111102020
4111311030302233300
5341001411434321
614434012351440
71456615161240
oct256514625760
966448544366
1023441124336
119a399a3733
124662475580
13229759bc96
1411c5319b20
15922de84c6
hex575332bf0

23441124336 has 80 divisors (see below), whose sum is σ = 69535335168. Its totient is φ = 6665702400.

The previous prime is 23441124313. The next prime is 23441124397. The reversal of 23441124336 is 63342114432.

It is a super-2 number, since 2×234411243362 (a number of 22 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 23441124297 and 23441124306.

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 15 ways as a sum of consecutive naturals, for example, 94425 + ... + 236216.

Almost surely, 223441124336 is an apocalyptic number.

It is an amenable number.

23441124336 is an abundant number, since it is smaller than the sum of its proper divisors (46094210832).

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

23441124336 is a wasteful number, since it uses less digits than its factorization.

23441124336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 330870 (or 330864 counting only the distinct ones).

The product of its digits is 41472, while the sum is 33.

Adding to 23441124336 its reverse (63342114432), we get a palindrome (86783238768).

The spelling of 23441124336 in words is "twenty-three billion, four hundred forty-one million, one hundred twenty-four thousand, three hundred thirty-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 84 112 168 211 336 422 633 844 1266 1477 1688 2532 2954 3376 4431 5064 5908 8862 10128 11816 17724 23632 35448 70896 330641 661282 991923 1322564 1983846 2314487 2645128 3967692 4628974 5290256 6943461 7935384 9257948 13886922 15870768 18515896 27773844 37031792 55547688 69765251 111095376 139530502 209295753 279061004 418591506 488356757 558122008 837183012 976713514 1116244016 1465070271 1674366024 1953427028 2930140542 3348732048 3906854056 5860281084 7813708112 11720562168 23441124336