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1140130431 = 331131123833
BaseRepresentation
bin100001111110101…
…0000001001111111
32221110100121221000
41003331100021333
54313333133211
6305044541343
740152643266
oct10375201177
92843317830
101140130431
11535634960
122799b1853
131522919bb
14ab5c75dd
156a161656
hex43f5027f

1140130431 has 32 divisors (see below), whose sum is σ = 1902090240. Its totient is φ = 668692800.

The previous prime is 1140130421. The next prime is 1140130463. The reversal of 1140130431 is 1340310411.

It is not a de Polignac number, because 1140130431 - 25 = 1140130399 is a prime.

It is a super-2 number, since 2×11401304312 = 2599794799384491522, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1140130421) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 52710 + ... + 71123.

It is an arithmetic number, because the mean of its divisors is an integer number (59440320).

Almost surely, 21140130431 is an apocalyptic number.

1140130431 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

1140130431 is a deficient number, since it is larger than the sum of its proper divisors (761959809).

1140130431 is a wasteful number, since it uses less digits than its factorization.

1140130431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123884 (or 123878 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 1140130431 is about 33765.8174934356. The cubic root of 1140130431 is about 1044.6837656398.

Adding to 1140130431 its reverse (1340310411), we get a palindrome (2480440842).

The spelling of 1140130431 in words is "one billion, one hundred forty million, one hundred thirty thousand, four hundred thirty-one".

Divisors: 1 3 9 11 27 31 33 93 99 279 297 341 837 1023 3069 9207 123833 371499 1114497 1362163 3343491 3838823 4086489 11516469 12259467 34549407 36778401 42227053 103648221 126681159 380043477 1140130431