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13181344040 = 2351086130341
BaseRepresentation
bin11000100011010101…
…10101100100101000
31021000122000122201102
430101222311210220
5203443411002130
610015545540532
7644434401314
oct142152654450
937018018642
1013181344040
115654585967
12267a4a4748
131320b26577
148d0892b44
15522323645
hex311ab5928

13181344040 has 32 divisors (see below), whose sum is σ = 29661732360. Its totient is φ = 5271878400.

The previous prime is 13181344039. The next prime is 13181344081. The reversal of 13181344040 is 4044318131.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 7690237636 + 5491106404 = 87694^2 + 74102^2 .

It is a junction number, because it is equal to n+sod(n) for n = 13181343994 and 13181344012.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 419270 + ... + 449610.

Almost surely, 213181344040 is an apocalyptic number.

13181344040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13181344040 is an abundant number, since it is smaller than the sum of its proper divisors (16480388320).

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

13181344040 is a wasteful number, since it uses less digits than its factorization.

13181344040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41213 (or 41209 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 29.

The spelling of 13181344040 in words is "thirteen billion, one hundred eighty-one million, three hundred forty-four thousand, forty".

Divisors: 1 2 4 5 8 10 20 40 10861 21722 30341 43444 54305 60682 86888 108610 121364 151705 217220 242728 303410 434440 606820 1213640 329533601 659067202 1318134404 1647668005 2636268808 3295336010 6590672020 13181344040