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1404401331 = 317413371993
BaseRepresentation
bin101001110110101…
…0111011010110011
310121212121222110010
41103231113122303
510334011320311
6351205110003
746542133344
oct12355273263
93555558403
101404401331
11660825563
123323b8303
13194c5cc08
14d473a0cb
1583463da6
hex53b576b3

1404401331 has 32 divisors (see below), whose sum is σ = 2038091328. Its totient is φ = 856719360.

The previous prime is 1404401329. The next prime is 1404401333. The reversal of 1404401331 is 1331044041.

It is an interprime number because it is at equal distance from previous prime (1404401329) and next prime (1404401333).

It is not a de Polignac number, because 1404401331 - 21 = 1404401329 is a prime.

It is a super-2 number, since 2×14044013312 = 3944686197029143122, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1404401298 and 1404401307.

It is not an unprimeable number, because it can be changed into a prime (1404401333) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 703671 + ... + 705663.

It is an arithmetic number, because the mean of its divisors is an integer number (63690354).

Almost surely, 21404401331 is an apocalyptic number.

1404401331 is a deficient number, since it is larger than the sum of its proper divisors (633689997).

1404401331 is a wasteful number, since it uses less digits than its factorization.

1404401331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2391.

The product of its (nonzero) digits is 576, while the sum is 21.

The square root of 1404401331 is about 37475.3429737474. The cubic root of 1404401331 is about 1119.8600300741.

Adding to 1404401331 its reverse (1331044041), we get a palindrome (2735445372).

The spelling of 1404401331 in words is "one billion, four hundred four million, four hundred one thousand, three hundred thirty-one".

Divisors: 1 3 17 41 51 123 337 697 1011 1993 2091 5729 5979 13817 17187 33881 41451 81713 101643 234889 245139 671641 704667 1389121 2014923 4167363 11417897 27537281 34253691 82611843 468133777 1404401331