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1331140040 = 23533278501
BaseRepresentation
bin100111101010111…
…1001010111001000
310102202202220211222
41033111321113020
510211232440130
6340030541212
744662334516
oct11725712710
93382686758
101331140040
1162343723a
12311967808
13182a1bb39
14c8b094b6
157bce1ce5
hex4f5795c8

1331140040 has 16 divisors (see below), whose sum is σ = 2995065180. Its totient is φ = 532456000.

The previous prime is 1331140039. The next prime is 1331140061. The reversal of 1331140040 is 400411331.

It can be written as a sum of positive squares in 2 ways, for example, as 1328310916 + 2829124 = 36446^2 + 1682^2 .

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 3 ways as a sum of consecutive naturals, for example, 16639211 + ... + 16639290.

Almost surely, 21331140040 is an apocalyptic number.

1331140040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1331140040 is an abundant number, since it is smaller than the sum of its proper divisors (1663925140).

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

1331140040 is a wasteful number, since it uses less digits than its factorization.

1331140040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33278512 (or 33278508 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 17.

The square root of 1331140040 is about 36484.7919001877. The cubic root of 1331140040 is about 1100.0385771595.

Adding to 1331140040 its reverse (400411331), we get a palindrome (1731551371).

The spelling of 1331140040 in words is "one billion, three hundred thirty-one million, one hundred forty thousand, forty".

Divisors: 1 2 4 5 8 10 20 40 33278501 66557002 133114004 166392505 266228008 332785010 665570020 1331140040