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1317318440 = 235171937233
BaseRepresentation
bin100111010000100…
…1010111100101000
310101210202201011212
41032201022330220
510144213142230
6334414412252
744434010354
oct11641127450
93353681155
101317318440
11616656929
12309201088
1317cbbc989
14c6d4c464
157a9b1895
hex4e84af28

1317318440 has 32 divisors (see below), whose sum is σ = 3138319080. Its totient is φ = 495931392.

The previous prime is 1317318439. The next prime is 1317318461. The reversal of 1317318440 is 448137131.

It can be written as a sum of positive squares in 4 ways, for example, as 907093924 + 410224516 = 30118^2 + 20254^2 .

It is a super-3 number, since 3×13173184403 (a number of 28 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1317318397 and 1317318406.

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, 967937 + ... + 969296.

Almost surely, 21317318440 is an apocalyptic number.

1317318440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1317318440 is an abundant number, since it is smaller than the sum of its proper divisors (1821000640).

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

1317318440 is a wasteful number, since it uses less digits than its factorization.

1317318440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1937261 (or 1937257 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 32.

The square root of 1317318440 is about 36294.8817328284. The cubic root of 1317318440 is about 1096.2179868149.

It can be divided in two parts, 13173 and 18440, that added together give a palindrome (31613).

The spelling of 1317318440 in words is "one billion, three hundred seventeen million, three hundred eighteen thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 17 20 34 40 68 85 136 170 340 680 1937233 3874466 7748932 9686165 15497864 19372330 32932961 38744660 65865922 77489320 131731844 164664805 263463688 329329610 658659220 1317318440