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5314042400 = 25526642553
BaseRepresentation
bin1001111001011110…
…11101101000100000
3111201100022022202012
410330233131220200
541340343324100
62235150212052
7245454420662
oct47457355040
914640268665
105314042400
112287702787
1210437b4028
13668c351b4
14385a8c532
152117db135
hex13cbdda20

5314042400 has 36 divisors (see below), whose sum is σ = 12972907962. Its totient is φ = 2125616640.

The previous prime is 5314042399. The next prime is 5314042411. The reversal of 5314042400 is 42404135.

It can be written as a sum of positive squares in 3 ways, for example, as 3962450704 + 1351591696 = 62948^2 + 36764^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 3320477 + ... + 3322076.

Almost surely, 25314042400 is an apocalyptic number.

5314042400 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

5314042400 is an abundant number, since it is smaller than the sum of its proper divisors (7658865562).

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

5314042400 is a wasteful number, since it uses less digits than its factorization.

5314042400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6642573 (or 6642560 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 23.

The square root of 5314042400 is about 72897.4786943966. The cubic root of 5314042400 is about 1745.0518617438.

Adding to 5314042400 its reverse (42404135), we get a palindrome (5356446535).

The spelling of 5314042400 in words is "five billion, three hundred fourteen million, forty-two thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 160 200 400 800 6642553 13285106 26570212 33212765 53140424 66425530 106280848 132851060 166063825 212561696 265702120 332127650 531404240 664255300 1062808480 1328510600 2657021200 5314042400