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2014431321 = 37292167683
BaseRepresentation
bin111100000010001…
…1100100001011001
312012101111201021110
41320010130201121
513111143300241
6531520130533
7100630245420
oct17004344131
95171451243
102014431321
11944104081
12482766a49
1326145abc6
141517742b7
15bbcb3816
hex7811c859

2014431321 has 48 divisors (see below), whose sum is σ = 3202827264. Its totient is φ = 1103137728.

The previous prime is 2014431283. The next prime is 2014431329. The reversal of 2014431321 is 1231344102.

It is not a de Polignac number, because 2014431321 - 26 = 2014431257 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is not an unprimeable number, because it can be changed into a prime (2014431329) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2949046 + ... + 2949728.

It is an arithmetic number, because the mean of its divisors is an integer number (66725568).

Almost surely, 22014431321 is an apocalyptic number.

2014431321 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

2014431321 is a deficient number, since it is larger than the sum of its proper divisors (1188395943).

2014431321 is a wasteful number, since it uses less digits than its factorization.

2014431321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 918 (or 889 counting only the distinct ones).

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

The square root of 2014431321 is about 44882.4166127449. The cubic root of 2014431321 is about 1262.9441777419.

Adding to 2014431321 its reverse (1231344102), we get a palindrome (3245775423).

The spelling of 2014431321 in words is "two billion, fourteen million, four hundred thirty-one thousand, three hundred twenty-one".

Divisors: 1 3 7 21 29 87 167 203 501 609 683 841 1169 2049 2523 3507 4781 4843 5887 14343 14529 17661 19807 33901 59421 101703 114061 138649 140447 342183 415947 421341 574403 798427 983129 1723209 2395281 2949387 3307769 4020821 9923307 12062463 23154383 69463149 95925301 287775903 671477107 2014431321