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4314204040 = 235827313037
BaseRepresentation
bin1000000010010010…
…11000011110001000
3102010122221021100211
410001021120132020
532313414012130
61552032210504
7211624062226
oct40111303610
912118837324
104314204040
11191428a393
12a04999a34
13539a53773
142ccd83b16
151a3b3ca2a
hex101258788

4314204040 has 32 divisors (see below), whose sum is σ = 9708877080. Its totient is φ = 1725340672.

The previous prime is 4314204029. The next prime is 4314204043. The reversal of 4314204040 is 404024134.

It can be written as a sum of positive squares in 4 ways, for example, as 4077844164 + 236359876 = 63858^2 + 15374^2 .

It is a super-2 number, since 2×43142040402 = 37224712997504643200, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (4314204043) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 324402 + ... + 337438.

Almost surely, 24314204040 is an apocalyptic number.

4314204040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4314204040 is an abundant number, since it is smaller than the sum of its proper divisors (5394673040).

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

4314204040 is a wasteful number, since it uses less digits than its factorization.

4314204040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21321 (or 21317 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 22.

The square root of 4314204040 is about 65682.6007402265. The cubic root of 4314204040 is about 1627.9218802753.

Adding to 4314204040 its reverse (404024134), we get a palindrome (4718228174).

The spelling of 4314204040 in words is "four billion, three hundred fourteen million, two hundred four thousand, forty".

Divisors: 1 2 4 5 8 10 20 40 8273 13037 16546 26074 33092 41365 52148 65185 66184 82730 104296 130370 165460 260740 330920 521480 107855101 215710202 431420404 539275505 862840808 1078551010 2157102020 4314204040