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2138118440 = 235163732653
BaseRepresentation
bin111111101110001…
…0001100100101000
312112000020200002212
41333130101210220
513334324242230
6552055144252
7103661464313
oct17734214450
95460220085
102138118440
119a7a04037
124b8075088
13280c76153
14163d6d97a
15c7a96895
hex7f711928

2138118440 has 32 divisors (see below), whose sum is σ = 4813852680. Its totient is φ = 854698752.

The previous prime is 2138118427. The next prime is 2138118457. The reversal of 2138118440 is 448118312.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 989857444 + 1148260996 = 31462^2 + 33886^2 .

It is a junction number, because it is equal to n+sod(n) for n = 2138118397 and 2138118406.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 49154 + ... + 81806.

Almost surely, 22138118440 is an apocalyptic number.

2138118440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2138118440 is an abundant number, since it is smaller than the sum of its proper divisors (2675734240).

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

2138118440 is a wasteful number, since it uses less digits than its factorization.

2138118440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34301 (or 34297 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 32.

The square root of 2138118440 is about 46239.7928196051. The cubic root of 2138118440 is about 1288.2809544247.

The spelling of 2138118440 in words is "two billion, one hundred thirty-eight million, one hundred eighteen thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 20 40 1637 3274 6548 8185 13096 16370 32653 32740 65306 65480 130612 163265 261224 326530 653060 1306120 53452961 106905922 213811844 267264805 427623688 534529610 1069059220 2138118440