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314415340004 = 22293773256137
BaseRepresentation
bin1001001001101001001…
…11010101100111100100
31010001120010221011200202
410210310213111213210
520122410311340004
6400235043530032
731500335202563
oct4446447254744
91101503834622
10314415340004
11111385298637
1250b29089918
13238594c03ac
1411309853bda
1582a2ed5b1e
hex49349d59e4

314415340004 has 24 divisors (see below), whose sum is σ = 584583981240. Its totient is φ = 147684370176.

The previous prime is 314415339977. The next prime is 314415340009. The reversal of 314415340004 is 400043514413.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 68250517504 + 246164822500 = 261248^2 + 496150^2 .

It is a Harshad number since it is a multiple of its sum of digits (29).

It is not an unprimeable number, because it can be changed into a prime (314415340009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 36623777 + ... + 36632360.

It is an arithmetic number, because the mean of its divisors is an integer number (24357665885).

Almost surely, 2314415340004 is an apocalyptic number.

It is an amenable number.

314415340004 is a deficient number, since it is larger than the sum of its proper divisors (270168641236).

314415340004 is a wasteful number, since it uses less digits than its factorization.

314415340004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73256207 (or 73256205 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 29.

Adding to 314415340004 its reverse (400043514413), we get a palindrome (714458854417).

The spelling of 314415340004 in words is "three hundred fourteen billion, four hundred fifteen million, three hundred forty thousand, four".

Divisors: 1 2 4 29 37 58 74 116 148 1073 2146 4292 73256137 146512274 293024548 2124427973 2710477069 4248855946 5420954138 8497711892 10841908276 78603835001 157207670002 314415340004