Search a number
-
+
312804065409 = 31141474918999
BaseRepresentation
bin1001000110101001001…
…00110100000010000001
31002220101212000221110220
410203110210310002001
520111110320043114
6355411124413253
731412401454163
oct4432444640201
91086355027426
10312804065409
11110728816140
1250759547229
132366073a884
14111d5866933
15820b80b0a9
hex48d4934081

312804065409 has 32 divisors (see below), whose sum is σ = 476001792000. Its totient is φ = 181019126400.

The previous prime is 312804065369. The next prime is 312804065423. The reversal of 312804065409 is 904560408213.

It is not a de Polignac number, because 312804065409 - 213 = 312804057217 is a prime.

It is not an unprimeable number, because it can be changed into a prime (312804065449) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2395909 + ... + 2523090.

It is an arithmetic number, because the mean of its divisors is an integer number (14875056000).

Almost surely, 2312804065409 is an apocalyptic number.

It is an amenable number.

312804065409 is a deficient number, since it is larger than the sum of its proper divisors (163197726591).

312804065409 is a wasteful number, since it uses less digits than its factorization.

312804065409 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4919101.

The product of its (nonzero) digits is 207360, while the sum is 42.

The spelling of 312804065409 in words is "three hundred twelve billion, eight hundred four million, sixty-five thousand, four hundred nine".

Divisors: 1 3 11 33 41 47 123 141 451 517 1353 1551 1927 5781 21197 63591 4918999 14756997 54108989 162326967 201678959 231192953 605036877 693578859 2218468549 2543122483 6655405647 7629367449 9478911073 28436733219 104268021803 312804065409