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2114012240 = 245244710799
BaseRepresentation
bin111111000000001…
…0100010001010000
312110022212221121122
41332000110101100
513312141342430
6545434341412
7103246543664
oct17600242120
95408787548
102114012240
1199533975a
124abb8a868
13278c85a22
14160a968a4
15c58d3ee5
hex7e014450

2114012240 has 40 divisors (see below), whose sum is σ = 4917542400. Its totient is φ = 845181056.

The previous prime is 2114012239. The next prime is 2114012267. The reversal of 2114012240 is 422104112.

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 190361 + ... + 201159.

It is an arithmetic number, because the mean of its divisors is an integer number (122938560).

Almost surely, 22114012240 is an apocalyptic number.

2114012240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2114012240 is an abundant number, since it is smaller than the sum of its proper divisors (2803530160).

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

2114012240 is a wasteful number, since it uses less digits than its factorization.

2114012240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13259 (or 13253 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 17.

The square root of 2114012240 is about 45978.3888364958. The cubic root of 2114012240 is about 1283.4210729166.

Adding to 2114012240 its reverse (422104112), we get a palindrome (2536116352).

The spelling of 2114012240 in words is "two billion, one hundred fourteen million, twelve thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 2447 4894 9788 10799 12235 19576 21598 24470 39152 43196 48940 53995 86392 97880 107990 172784 195760 215980 431960 863920 26425153 52850306 105700612 132125765 211401224 264251530 422802448 528503060 1057006120 2114012240