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314313214340052 = 223216177353970209
BaseRepresentation
bin100011101110111011011111…
…1011111010010101111010100
31112012220001100022220121002200
41013131312333133102233110
5312144201430332340202
63032253255225404500
7123130244314121664
oct10735667737225724
91465801308817080
10314313214340052
11911715384036a4
122b30400b639730
131064c7bba94795
145788bab0081a4
15265101c0aae1c
hex11dddbf7d2bd4

314313214340052 has 36 divisors (see below), whose sum is σ = 794518884481140. Its totient is φ = 104770421862912.

The previous prime is 314313214340017. The next prime is 314313214340071. The reversal of 314313214340052 is 250043412313413.

314313214340052 is a `hidden beast` number, since 3 + 1 + 4 + 31 + 3 + 214 + 3 + 400 + 5 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 253370117100816 + 60943097239236 = 15917604^2 + 7806606^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 314313214339989 and 314313214340016.

It is a congruent number.

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, 21161277 + ... + 32808932.

It is an arithmetic number, because the mean of its divisors is an integer number (22069969013365).

Almost surely, 2314313214340052 is an apocalyptic number.

It is an amenable number.

314313214340052 is an abundant number, since it is smaller than the sum of its proper divisors (480205670141088).

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

314313214340052 is a wasteful number, since it uses less digits than its factorization.

314313214340052 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 54131992 (or 54131987 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 36.

Adding to 314313214340052 its reverse (250043412313413), we get a palindrome (564356626653465).

The spelling of 314313214340052 in words is "three hundred fourteen trillion, three hundred thirteen billion, two hundred fourteen million, three hundred forty thousand, fifty-two".

Divisors: 1 2 3 4 6 9 12 18 36 161773 323546 485319 647092 970638 1455957 1941276 2911914 5823828 53970209 107940418 161910627 215880836 323821254 485731881 647642508 971463762 1942927524 8730922620557 17461845241114 26192767861671 34923690482228 52385535723342 78578303585013 104771071446684 157156607170026 314313214340052