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2114045040 = 24358808521
BaseRepresentation
bin111111000000001…
…1100010001110000
312110022221121121110
41332000130101300
513312143420130
6545435153320
7103250041422
oct17600342160
95408847543
102114045040
11995361368
124abba5840
13278c97933
14160aa4812
15c58ddab0
hex7e01c470

2114045040 has 40 divisors (see below), whose sum is σ = 6553540368. Its totient is φ = 563745280.

The previous prime is 2114045009. The next prime is 2114045057. The reversal of 2114045040 is 405404112.

It is a happy number.

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

It is a super-2 number, since 2×21140450402 = 8938372862297203200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2114044998 and 2114045016.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 4404021 + ... + 4404500.

Almost surely, 22114045040 is an apocalyptic number.

2114045040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2114045040 is an abundant number, since it is smaller than the sum of its proper divisors (4439495328).

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

2114045040 is a wasteful number, since it uses less digits than its factorization.

2114045040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8808537 (or 8808531 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 21.

The square root of 2114045040 is about 45978.7455244268. The cubic root of 2114045040 is about 1283.4277105308.

Adding to 2114045040 its reverse (405404112), we get a palindrome (2519449152).

The spelling of 2114045040 in words is "two billion, one hundred fourteen million, forty-five thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 8808521 17617042 26425563 35234084 44042605 52851126 70468168 88085210 105702252 132127815 140936336 176170420 211404504 264255630 352340840 422809008 528511260 704681680 1057022520 2114045040