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1400331361 = 111317576031
BaseRepresentation
bin101001101110111…
…0101110001100001
310121120222012111111
41103131311301201
510331441100421
6350541543321
746462422502
oct12335656141
93546865444
101400331361
116594a5750
12330b74b41
13194166550
14d3d9aba9
1582e0cee1
hex53775c61

1400331361 has 16 divisors (see below), whose sum is σ = 1741920768. Its totient is φ = 1105977600.

The previous prime is 1400331329. The next prime is 1400331371. The reversal of 1400331361 is 1631330041.

It is a happy number.

It is not a de Polignac number, because 1400331361 - 25 = 1400331329 is a prime.

It is a super-2 number, since 2×14003313612 = 3921855841200224642, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1400331371) 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 15 ways as a sum of consecutive naturals, for example, 285585 + ... + 290446.

It is an arithmetic number, because the mean of its divisors is an integer number (108870048).

Almost surely, 21400331361 is an apocalyptic number.

1400331361 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1400331361 is a deficient number, since it is larger than the sum of its proper divisors (341589407).

1400331361 is a wasteful number, since it uses less digits than its factorization.

1400331361 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 576072.

The product of its (nonzero) digits is 648, while the sum is 22.

The square root of 1400331361 is about 37421.0016033777. The cubic root of 1400331361 is about 1118.7771946158. Note that the first 3 decimals are identical.

The spelling of 1400331361 in words is "one billion, four hundred million, three hundred thirty-one thousand, three hundred sixty-one".

Divisors: 1 11 13 17 143 187 221 2431 576031 6336341 7488403 9792527 82372433 107717797 127302851 1400331361