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2114120440 = 235232297957
BaseRepresentation
bin111111000000010…
…1110101011111000
312110100002110001001
41332000232223320
513312203323230
6545440534344
7103250504305
oct17600565370
95410073031
102114120440
11995402a83
124b00213b4
13278cc3053
14160ac40ac
15c59060ca
hex7e02eaf8

2114120440 has 32 divisors (see below), whose sum is σ = 4963589280. Its totient is φ = 808880512.

The previous prime is 2114120429. The next prime is 2114120441. The reversal of 2114120440 is 440214112.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2114120441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1148059 + ... + 1149898.

It is an arithmetic number, because the mean of its divisors is an integer number (155112165).

Almost surely, 22114120440 is an apocalyptic number.

2114120440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2114120440 is an abundant number, since it is smaller than the sum of its proper divisors (2849468840).

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

2114120440 is a wasteful number, since it uses less digits than its factorization.

2114120440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2297991 (or 2297987 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 19.

The square root of 2114120440 is about 45979.5654611916. The cubic root of 2114120440 is about 1283.4429686887.

Adding to 2114120440 its reverse (440214112), we get a palindrome (2554334552).

The spelling of 2114120440 in words is "two billion, one hundred fourteen million, one hundred twenty thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 20 23 40 46 92 115 184 230 460 920 2297957 4595914 9191828 11489785 18383656 22979570 45959140 52853011 91918280 105706022 211412044 264265055 422824088 528530110 1057060220 2114120440