Search a number
-
+
510740344921 = 541213212
BaseRepresentation
bin1110110111010100111…
…11110011000001011001
31210211022101001202200011
413123222133303001121
531331444012014141
61030344134041521
751620423205322
oct7335237630131
91724271052604
10510740344921
11187670678614
1282b99aa92a1
1339216332161
141aa11823449
15d4439d2881
hex76ea7f3059

510740344921 has 9 divisors (see below), whose sum is σ = 512073797949. Its totient is φ = 509410360800.

The previous prime is 510740344909. The next prime is 510740344931. The reversal of 510740344921 is 129443047015.

The square root of 510740344921 is 714661.

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 79643048521 + 431097296400 = 282211^2 + 656580^2 .

It is not a de Polignac number, because 510740344921 - 25 = 510740344889 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (510740344901) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 386630941 + ... + 386632261.

It is an arithmetic number, because the mean of its divisors is an integer number (56897088661).

Almost surely, 2510740344921 is an apocalyptic number.

510740344921 is the 714661-st square number.

510740344921 is the 357331-st centered octagonal number.

It is an amenable number.

510740344921 is a deficient number, since it is larger than the sum of its proper divisors (1333453028).

510740344921 is an frugal number, since it uses more digits than its factorization.

510740344921 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3724 (or 1862 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 40.

The spelling of 510740344921 in words is "five hundred ten billion, seven hundred forty million, three hundred forty-four thousand, nine hundred twenty-one".

Divisors: 1 541 1321 292681 714661 1745041 386631601 944067181 510740344921