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1313144340 = 2235191151881
BaseRepresentation
bin100111001000100…
…1111111000010100
310101111220122101120
41032101033320110
510142131104330
6334145123540
744353354104
oct11621177024
93344818346
101313144340
11614265862
123079295b0
1317c08aab1
14c6583204
157a439c10
hex4e44fe14

1313144340 has 48 divisors (see below), whose sum is σ = 3870323520. Its totient is φ = 331741440.

The previous prime is 1313144333. The next prime is 1313144341. The reversal of 1313144340 is 434413131.

It is a self number, because there is not a number n which added to its sum of digits gives 1313144340.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1313144341) 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, 574801 + ... + 577080.

It is an arithmetic number, because the mean of its divisors is an integer number (80631740).

Almost surely, 21313144340 is an apocalyptic number.

1313144340 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1313144340 is an abundant number, since it is smaller than the sum of its proper divisors (2557179180).

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

1313144340 is a wasteful number, since it uses less digits than its factorization.

1313144340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1151912 (or 1151910 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

The square root of 1313144340 is about 36237.3335111733. Note that the first 3 decimals coincide. The cubic root of 1313144340 is about 1095.0589238740.

Adding to 1313144340 its reverse (434413131), we get a palindrome (1747557471).

The spelling of 1313144340 in words is "one billion, three hundred thirteen million, one hundred forty-four thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 19 20 30 38 57 60 76 95 114 190 228 285 380 570 1140 1151881 2303762 3455643 4607524 5759405 6911286 11518810 13822572 17278215 21885739 23037620 34556430 43771478 65657217 69112860 87542956 109428695 131314434 218857390 262628868 328286085 437714780 656572170 1313144340