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4314214240 = 25573851977
BaseRepresentation
bin1000000010010010…
…11010111101100000
3102010122221210100121
410001021122331200
532313414323430
61552032330024
7211624134040
oct40111327540
912118853317
104314214240
111914297016
12a049a3914
13539a582bb
142ccd87720
151a3b40a7a
hex10125af60

4314214240 has 48 divisors (see below), whose sum is σ = 11648381472. Its totient is φ = 1479158784.

The previous prime is 4314214237. The next prime is 4314214241. The reversal of 4314214240 is 424124134.

It is a super-2 number, since 2×43142142402 = 37224889017237555200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4314214241) by changing a digit.

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, 1924869 + ... + 1927108.

It is an arithmetic number, because the mean of its divisors is an integer number (242674614).

Almost surely, 24314214240 is an apocalyptic number.

4314214240 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4314214240 is an abundant number, since it is smaller than the sum of its proper divisors (7334167232).

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

4314214240 is a wasteful number, since it uses less digits than its factorization.

4314214240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3851999 (or 3851991 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 25.

The square root of 4314214240 is about 65682.6783863143. The cubic root of 4314214240 is about 1627.9231632304.

Adding to 4314214240 its reverse (424124134), we get a palindrome (4738338374).

The spelling of 4314214240 in words is "four billion, three hundred fourteen million, two hundred fourteen thousand, two hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 70 80 112 140 160 224 280 560 1120 3851977 7703954 15407908 19259885 26963839 30815816 38519770 53927678 61631632 77039540 107855356 123263264 134819195 154079080 215710712 269638390 308158160 431421424 539276780 616316320 862842848 1078553560 2157107120 4314214240