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2014012330 = 25112731512
BaseRepresentation
bin111100000001011…
…0110001110101010
312012100201102112021
41320002312032222
513111041343310
6531503135054
7100623552031
oct17002661652
95170642467
102014012330
11943948300
124825a448a
13261342295
141516a5718
15bbc2e5da
hex780b63aa

2014012330 has 72 divisors (see below), whose sum is σ = 4066261668. Its totient is φ = 717552000.

The previous prime is 2014012313. The next prime is 2014012367. The reversal of 2014012330 is 332104102.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 2011253409 + 2758921 = 44847^2 + 1661^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 13337755 + ... + 13337905.

Almost surely, 22014012330 is an apocalyptic number.

2014012330 is an abundant number, since it is smaller than the sum of its proper divisors (2052249338).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2014012330 is a wasteful number, since it uses less digits than its factorization.

2014012330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 404 (or 242 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

The square root of 2014012330 is about 44877.7487180451. The cubic root of 2014012330 is about 1262.8566097800.

Adding to 2014012330 its reverse (332104102), we get a palindrome (2346116432).

The spelling of 2014012330 in words is "two billion, fourteen million, twelve thousand, three hundred thirty".

Divisors: 1 2 5 10 11 22 55 73 110 121 146 151 242 302 365 605 730 755 803 1210 1510 1606 1661 3322 4015 8030 8305 8833 11023 16610 17666 18271 22046 22801 36542 44165 45602 55115 88330 91355 110230 114005 121253 182710 228010 242506 250811 501622 606265 1212530 1254055 1333783 1664473 2508110 2667566 2758921 3328946 5517842 6668915 8322365 13337830 13794605 16644730 18309203 27589210 36618406 91546015 183092030 201401233 402802466 1007006165 2014012330