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1400131831 = 7319239341
BaseRepresentation
bin101001101110100…
…0101000011110111
310121120121001210111
41103131011003313
510331413204311
6350533403451
746460632000
oct12335050367
93546531714
101400131831
1165937984a
12330a99587
131940c6797
14d3d481a7
1582dbdd21
hex537450f7

1400131831 has 32 divisors (see below), whose sum is σ = 1793664000. Its totient is φ = 1087400160.

The previous prime is 1400131807. The next prime is 1400131903. The reversal of 1400131831 is 1381310041.

It is a de Polignac number, because none of the positive numbers 2k-1400131831 is a prime.

It is a super-2 number, since 2×14001318312 = 3920738288358825122, which contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1400131531) 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, 145221 + ... + 154561.

It is an arithmetic number, because the mean of its divisors is an integer number (56052000).

Almost surely, 21400131831 is an apocalyptic number.

1400131831 is a deficient number, since it is larger than the sum of its proper divisors (393532169).

1400131831 is an equidigital number, since it uses as much as digits as its factorization.

1400131831 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9404 (or 9390 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 22.

The square root of 1400131831 is about 37418.3354921087. The cubic root of 1400131831 is about 1118.7240547607.

Adding to 1400131831 its reverse (1381310041), we get a palindrome (2781441872).

The spelling of 1400131831 in words is "one billion, four hundred million, one hundred thirty-one thousand, eight hundred thirty-one".

Divisors: 1 7 19 23 49 133 161 343 437 931 1127 3059 6517 7889 9341 21413 65387 149891 177479 214843 457709 1242353 1503901 3203963 4082017 8696471 10527307 28574119 60875297 73691149 200018833 1400131831