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2014131040 = 25512588319
BaseRepresentation
bin111100000001101…
…0011001101100000
312012100221110100221
41320003103031200
513111104143130
6531505452424
7100624555105
oct17003231540
95170843327
102014131040
11943a19509
12482641114
1326138431c
141516d6aac
15bbc5487a
hex780d3360

2014131040 has 24 divisors (see below), whose sum is σ = 4758384960. Its totient is φ = 805652352.

The previous prime is 2014131017. The next prime is 2014131047. The reversal of 2014131040 is 401314102.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2014131047) 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 3 ways as a sum of consecutive naturals, for example, 6294000 + ... + 6294319.

It is an arithmetic number, because the mean of its divisors is an integer number (198266040).

Almost surely, 22014131040 is an apocalyptic number.

2014131040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2014131040 is an abundant number, since it is smaller than the sum of its proper divisors (2744253920).

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

2014131040 is a wasteful number, since it uses less digits than its factorization.

2014131040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12588334 (or 12588326 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

The square root of 2014131040 is about 44879.0712916388. The cubic root of 2014131040 is about 1262.8814210751.

Adding to 2014131040 its reverse (401314102), we get a palindrome (2415445142).

The spelling of 2014131040 in words is "two billion, fourteen million, one hundred thirty-one thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 12588319 25176638 50353276 62941595 100706552 125883190 201413104 251766380 402826208 503532760 1007065520 2014131040