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31144444040 = 2351745800653
BaseRepresentation
bin11101000000010110…
…101000000010001000
32222101111202200110102
4131000112220002020
51002240434202130
622150233304532
72151534256253
oct350026500210
988344680412
1031144444040
1112232254856
126052265148
132c24507318
14171643609a
15c2433d645
hex7405a8088

31144444040 has 32 divisors (see below), whose sum is σ = 74197059480. Its totient is φ = 11724966912.

The previous prime is 31144444039. The next prime is 31144444043. The reversal of 31144444040 is 4044444113.

It can be written as a sum of positive squares in 4 ways, for example, as 29736243364 + 1408200676 = 172442^2 + 37526^2 .

It is a junction number, because it is equal to n+sod(n) for n = 31144443994 and 31144444012.

It is not an unprimeable number, because it can be changed into a prime (31144444043) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 22899647 + ... + 22901006.

Almost surely, 231144444040 is an apocalyptic number.

It is an amenable number.

31144444040 is an abundant number, since it is smaller than the sum of its proper divisors (43052615440).

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

31144444040 is a wasteful number, since it uses less digits than its factorization.

31144444040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45800681 (or 45800677 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 29.

Adding to 31144444040 its reverse (4044444113), we get a palindrome (35188888153).

The spelling of 31144444040 in words is "thirty-one billion, one hundred forty-four million, four hundred forty-four thousand, forty".

Divisors: 1 2 4 5 8 10 17 20 34 40 68 85 136 170 340 680 45800653 91601306 183202612 229003265 366405224 458006530 778611101 916013060 1557222202 1832026120 3114444404 3893055505 6228888808 7786111010 15572222020 31144444040