Search a number
-
+
2112144040 = 23573723337
BaseRepresentation
bin111110111100100…
…1100001010101000
312110012101000221001
41331321030022220
513311202102130
6545330324344
7103224633226
oct17571141250
95405330831
102112144040
11994283096
124ab4296b4
13278780596
1416072bb16
15c56656ca
hex7de4c2a8

2112144040 has 32 divisors (see below), whose sum is σ = 4817431080. Its totient is φ = 833283072.

The previous prime is 2112144019. The next prime is 2112144053. The reversal of 2112144040 is 404412112.

It can be written as a sum of positive squares in 4 ways, for example, as 1424760516 + 687383524 = 37746^2 + 26218^2 .

It is a super-2 number, since 2×21121440402 = 8922304891415043200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2112143999 and 2112144017.

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, 358749 + ... + 364588.

Almost surely, 22112144040 is an apocalyptic number.

2112144040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2112144040 is an abundant number, since it is smaller than the sum of its proper divisors (2705287040).

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

2112144040 is a wasteful number, since it uses less digits than its factorization.

2112144040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 723421 (or 723417 counting only the distinct ones).

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

The square root of 2112144040 is about 45958.0682796829. The cubic root of 2112144040 is about 1283.0428988381.

Adding to 2112144040 its reverse (404412112), we get a palindrome (2516556152).

The spelling of 2112144040 in words is "two billion, one hundred twelve million, one hundred forty-four thousand, forty".

Divisors: 1 2 4 5 8 10 20 40 73 146 292 365 584 730 1460 2920 723337 1446674 2893348 3616685 5786696 7233370 14466740 28933480 52803601 105607202 211214404 264018005 422428808 528036010 1056072020 2112144040