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314400000020 = 22515720000001
BaseRepresentation
bin1001001001100111011…
…00110100100000010100
31010001112002001211012012
410210303230310200110
520122342400000040
6400233335043352
731500060622601
oct4446354644024
91101462054165
10314400000020
11111377670467
1250b23b10558
132385627c092
14113077bd6a8
1582a19a5865
hex4933b34814

314400000020 has 12 divisors (see below), whose sum is σ = 660240000084. Its totient is φ = 125760000000.

The previous prime is 314400000017. The next prime is 314400000023. The reversal of 314400000020 is 20000004413.

It is an interprime number because it is at equal distance from previous prime (314400000017) and next prime (314400000023).

It can be written as a sum of positive squares in 2 ways, for example, as 133099469584 + 181300530436 = 364828^2 + 425794^2 .

It is a junction number, because it is equal to n+sod(n) for n = 314399999950 and 314400000004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (314400000023) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 7859999981 + ... + 7860000020.

It is an arithmetic number, because the mean of its divisors is an integer number (55020000007).

Almost surely, 2314400000020 is an apocalyptic number.

It is an amenable number.

314400000020 is an abundant number, since it is smaller than the sum of its proper divisors (345840000064).

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

314400000020 is a wasteful number, since it uses less digits than its factorization.

314400000020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15720000010 (or 15720000008 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 14.

Adding to 314400000020 its reverse (20000004413), we get a palindrome (334400004433).

The spelling of 314400000020 in words is "three hundred fourteen billion, four hundred million, twenty", and thus it is an aban number.

Divisors: 1 2 4 5 10 20 15720000001 31440000002 62880000004 78600000005 157200000010 314400000020