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3131423111440 = 245133010983761
BaseRepresentation
bin101101100100010111010…
…111001011100100010000
3102002100202021001001222001
4231210113113023210100
5402301123304031230
610354320024523344
7442144404162301
oct55442727134420
912070667031861
103131423111440
11aa803578a568
12426a83320554
131993a44b58c0
14ab7c13ac7a8
15566c74b50ca
hex2d9175cb910

3131423111440 has 40 divisors (see below), whose sum is σ = 7840601716248. Its totient is φ = 1156217763840.

The previous prime is 3131423111423. The next prime is 3131423111447. The reversal of 3131423111440 is 441113241313.

It can be written as a sum of positive squares in 4 ways, for example, as 159357446416 + 2972065665024 = 399196^2 + 1723968^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a junction number, because it is equal to n+sod(n) for n = 3131423111399 and 3131423111408.

It is not an unprimeable number, because it can be changed into a prime (3131423111447) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1505490841 + ... + 1505492920.

Almost surely, 23131423111440 is an apocalyptic number.

It is an amenable number.

3131423111440 is an abundant number, since it is smaller than the sum of its proper divisors (4709178604808).

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

3131423111440 is a wasteful number, since it uses less digits than its factorization.

3131423111440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3010983787 (or 3010983781 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 28.

Adding to 3131423111440 its reverse (441113241313), we get a palindrome (3572536352753).

The spelling of 3131423111440 in words is "three trillion, one hundred thirty-one billion, four hundred twenty-three million, one hundred eleven thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 13 16 20 26 40 52 65 80 104 130 208 260 520 1040 3010983761 6021967522 12043935044 15054918805 24087870088 30109837610 39142788893 48175740176 60219675220 78285577786 120439350440 156571155572 195713944465 240878700880 313142311144 391427888930 626284622288 782855777860 1565711555720 3131423111440