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314430469081 = 137240932
BaseRepresentation
bin1001001001101011000…
…01000011001111011001
31010001121012101210212221
410210311201003033121
520122423200002311
6400240344104041
731500610613641
oct4446541031731
91101535353787
10314430469081
11111392891303
1250b32165021
132385c689701
141130b871521
1582a44c3671
hex49358433d9

314430469081 has 9 divisors (see below), whose sum is σ = 316819739901. Its totient is φ = 312059095392.

The previous prime is 314430469079. The next prime is 314430469097. The reversal of 314430469081 is 180964034413.

The square root of 314430469081 is 560741.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 1121481 + 314429347600 = 1059^2 + 560740^2 .

It is not a de Polignac number, because 314430469081 - 21 = 314430469079 is a prime.

It is a super-3 number, since 3×3144304690813 (a number of 35 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (314430469051) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 76819471 + ... + 76823563.

Almost surely, 2314430469081 is an apocalyptic number.

314430469081 is the 560741-st square number.

314430469081 is the 280371-st centered octagonal number.

It is an amenable number.

314430469081 is a deficient number, since it is larger than the sum of its proper divisors (2389270820).

314430469081 is an frugal number, since it uses more digits than its factorization.

314430469081 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8460 (or 4230 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 43.

The spelling of 314430469081 in words is "three hundred fourteen billion, four hundred thirty million, four hundred sixty-nine thousand, eighty-one".

Divisors: 1 137 4093 18769 560741 16752649 76821517 2295112913 314430469081