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2014113140 = 2251313075927
BaseRepresentation
bin111100000001100…
…1110110101110100
312012100220112210222
41320003032311310
513111103110030
6531505233512
7100624451654
oct17003166564
95170815728
102014113140
11943a07016
12482632898
13261379130
141516d0364
15bbc4e3e5
hex780ced74

2014113140 has 48 divisors (see below), whose sum is σ = 4559248512. Its totient is φ = 742978176.

The previous prime is 2014113139. The next prime is 2014113169. The reversal of 2014113140 is 413114102.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 336857 + ... + 342783.

It is an arithmetic number, because the mean of its divisors is an integer number (94984344).

Almost surely, 22014113140 is an apocalyptic number.

2014113140 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2014113140 is an abundant number, since it is smaller than the sum of its proper divisors (2545135372).

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

2014113140 is a wasteful number, since it uses less digits than its factorization.

2014113140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7256 (or 7254 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 17.

The square root of 2014113140 is about 44878.8718663917. The cubic root of 2014113140 is about 1262.8776799010.

Adding to 2014113140 its reverse (413114102), we get a palindrome (2427227242).

The spelling of 2014113140 in words is "two billion, fourteen million, one hundred thirteen thousand, one hundred forty".

Divisors: 1 2 4 5 10 13 20 26 52 65 130 260 1307 2614 5228 5927 6535 11854 13070 16991 23708 26140 29635 33982 59270 67964 77051 84955 118540 154102 169910 308204 339820 385255 770510 1541020 7746589 15493178 30986356 38732945 77465890 100705657 154931780 201411314 402822628 503528285 1007056570 2014113140