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4314131400 = 233527190219
BaseRepresentation
bin1000000010010010…
…00110101111001000
3102010122210120201110
410001021012233020
532313404201100
61552030450320
7211623340365
oct40111065710
912118716643
104314131400
11191423a857
12a049639a0
13539a29697
142ccd6546c
151a3b26250
hex101246bc8

4314131400 has 48 divisors (see below), whose sum is σ = 13373809200. Its totient is φ = 1150434880.

The previous prime is 4314131387. The next prime is 4314131411. The reversal of 4314131400 is 41314134.

It is a super-2 number, since 2×43141314002 = 37223459472931920000, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3594510 + ... + 3595709.

It is an arithmetic number, because the mean of its divisors is an integer number (278621025).

Almost surely, 24314131400 is an apocalyptic number.

4314131400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4314131400 is an abundant number, since it is smaller than the sum of its proper divisors (9059677800).

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

4314131400 is a wasteful number, since it uses less digits than its factorization.

4314131400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7190238 (or 7190229 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

The square root of 4314131400 is about 65682.0477756289. The cubic root of 4314131400 is about 1627.9127435641.

Adding to 4314131400 its reverse (41314134), we get a palindrome (4355445534).

The spelling of 4314131400 in words is "four billion, three hundred fourteen million, one hundred thirty-one thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 150 200 300 600 7190219 14380438 21570657 28760876 35951095 43141314 57521752 71902190 86282628 107853285 143804380 172565256 179755475 215706570 287608760 359510950 431413140 539266425 719021900 862826280 1078532850 1438043800 2157065700 4314131400