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1331144514 = 232726933923
BaseRepresentation
bin100111101010111…
…1010011101000010
310102202210010222200
41033111322131002
510211233111024
6340031014030
744662353540
oct11725723502
93382703880
101331144514
1162343a637
1231196a316
13182a20b9b
14c8b0ad90
157bce32c9
hex4f57a742

1331144514 has 48 divisors (see below), whose sum is σ = 3298231872. Its totient is φ = 380088864.

The previous prime is 1331144491. The next prime is 1331144533. The reversal of 1331144514 is 4154411331.

1331144514 is a `hidden beast` number, since 1 + 3 + 3 + 1 + 144 + 514 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 337357 + ... + 341279.

It is an arithmetic number, because the mean of its divisors is an integer number (68713164).

Almost surely, 21331144514 is an apocalyptic number.

1331144514 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

1331144514 is an abundant number, since it is smaller than the sum of its proper divisors (1967087358).

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

1331144514 is a wasteful number, since it uses less digits than its factorization.

1331144514 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6631 (or 6628 counting only the distinct ones).

The product of its digits is 2880, while the sum is 27.

The square root of 1331144514 is about 36484.8532133542. The cubic root of 1331144514 is about 1100.0398095785.

Adding to 1331144514 its reverse (4154411331), we get a palindrome (5485555845).

The spelling of 1331144514 in words is "one billion, three hundred thirty-one million, one hundred forty-four thousand, five hundred fourteen".

Divisors: 1 2 3 6 7 9 14 18 21 42 63 126 2693 3923 5386 7846 8079 11769 16158 18851 23538 24237 27461 35307 37702 48474 54922 56553 70614 82383 113106 164766 169659 247149 339318 494298 10564639 21129278 31693917 63387834 73952473 95081751 147904946 190163502 221857419 443714838 665572257 1331144514