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2312420314040 = 235181396780513
BaseRepresentation
bin100001101001100110111…
…111011100101110111000
322012001202112210012112022
4201221212333130232320
5300341314100022130
64530151120334012
7326031634233464
oct41514677345670
98161675705468
102312420314040
11811767a89931
123141b4a74308
1313a0a262c415
147dcc93814a4
1540240c847e5
hex21a66fdcbb8

2312420314040 has 64 divisors (see below), whose sum is σ = 5233075061760. Its totient is φ = 919614504960.

The previous prime is 2312420314037. The next prime is 2312420314117. The reversal of 2312420314040 is 404130242132.

It is a super-2 number, since 2×23124203140402 (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 28680824 + ... + 28761336.

It is an arithmetic number, because the mean of its divisors is an integer number (81766797840).

Almost surely, 22312420314040 is an apocalyptic number.

2312420314040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2312420314040 is an abundant number, since it is smaller than the sum of its proper divisors (2920654747720).

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

2312420314040 is a wasteful number, since it uses less digits than its factorization.

2312420314040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 84672 (or 84668 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 26.

Adding to 2312420314040 its reverse (404130242132), we get a palindrome (2716550556172).

The spelling of 2312420314040 in words is "two trillion, three hundred twelve billion, four hundred twenty million, three hundred fourteen thousand, forty".

Divisors: 1 2 4 5 8 10 20 40 181 362 724 905 1448 1810 3620 3967 7240 7934 15868 19835 31736 39670 79340 80513 158680 161026 322052 402565 644104 718027 805130 1436054 1610260 2872108 3220520 3590135 5744216 7180270 14360540 14572853 28721080 29145706 58291412 72864265 116582824 145728530 291457060 319395071 582914120 638790142 1277580284 1596975355 2555160568 3193950710 6387901420 12775802840 57810507851 115621015702 231242031404 289052539255 462484062808 578105078510 1156210157020 2312420314040