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23314434024 = 2337219825199
BaseRepresentation
bin10101101101101001…
…100000011111101000
32020011211012221222110
4111231221200133220
5340221443342044
614413245122320
71453516263600
oct255551403750
966154187873
1023314434024
1199844323a2
124627b593a0
132277271abb
1411b257bc00
15916c206b9
hex56da607e8

23314434024 has 48 divisors (see below), whose sum is σ = 67802184000. Its totient is φ = 6661266528.

The previous prime is 23314434023. The next prime is 23314434047. The reversal of 23314434024 is 42043441332.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 23314433982 and 23314434000.

It is not an unprimeable number, because it can be changed into a prime (23314434023) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 9911424 + ... + 9913775.

It is an arithmetic number, because the mean of its divisors is an integer number (1412545500).

Almost surely, 223314434024 is an apocalyptic number.

23314434024 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

23314434024 is an abundant number, since it is smaller than the sum of its proper divisors (44487749976).

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

23314434024 is a wasteful number, since it uses less digits than its factorization.

23314434024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19825222 (or 19825211 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 30.

Adding to 23314434024 its reverse (42043441332), we get a palindrome (65357875356).

The spelling of 23314434024 in words is "twenty-three billion, three hundred fourteen million, four hundred thirty-four thousand, twenty-four".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 49 56 84 98 147 168 196 294 392 588 1176 19825199 39650398 59475597 79300796 118951194 138776393 158601592 237902388 277552786 416329179 475804776 555105572 832658358 971434751 1110211144 1665316716 1942869502 2914304253 3330633432 3885739004 5828608506 7771478008 11657217012 23314434024