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23413134440 = 2359711353401
BaseRepresentation
bin10101110011100010…
…000001010001101000
32020102200221110111102
4111303202001101220
5340422230300230
614431132420532
71456125234113
oct256342012150
966380843442
1023413134440
119a25116493
124655017748
13229184bc07
1411c171157a
1592071a045
hex573881468

23413134440 has 64 divisors (see below), whose sum is σ = 53694642960. Its totient is φ = 9186508800.

The previous prime is 23413134439. The next prime is 23413134443. The reversal of 23413134440 is 4443131432.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 827252644 + 22585881796 = 28762^2 + 150286^2 .

It is a super-2 number, since 2×234131344402 (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (23413134443) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 411740 + ... + 465140.

Almost surely, 223413134440 is an apocalyptic number.

23413134440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

23413134440 is an abundant number, since it is smaller than the sum of its proper divisors (30281508520).

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

23413134440 is a wasteful number, since it uses less digits than its factorization.

23413134440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53622 (or 53618 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 29.

Adding to 23413134440 its reverse (4443131432), we get a palindrome (27856265872).

The spelling of 23413134440 in words is "twenty-three billion, four hundred thirteen million, one hundred thirty-four thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 20 40 97 113 194 226 388 452 485 565 776 904 970 1130 1940 2260 3880 4520 10961 21922 43844 53401 54805 87688 106802 109610 213604 219220 267005 427208 438440 534010 1068020 2136040 5179897 6034313 10359794 12068626 20719588 24137252 25899485 30171565 41439176 48274504 51798970 60343130 103597940 120686260 207195880 241372520 585328361 1170656722 2341313444 2926641805 4682626888 5853283610 11706567220 23413134440