Search a number
-
+
10040144409 = 321382980669
BaseRepresentation
bin10010101100111000…
…00111001000011001
3221220201022011220100
421112130013020121
5131030234110114
64340135050013
7503542551021
oct112634071031
927821264810
1010040144409
114292444109
121b42510909
13c40104969
146b3612a81
153db68c909
hex256707219

10040144409 has 12 divisors (see below), whose sum is σ = 14503659300. Its totient is φ = 6692862624.

The previous prime is 10040144399. The next prime is 10040144419. The reversal of 10040144409 is 90444104001.

It is an interprime number because it is at equal distance from previous prime (10040144399) and next prime (10040144419).

It can be written as a sum of positive squares in 2 ways, for example, as 1579824009 + 8460320400 = 39747^2 + 91980^2 .

It is not a de Polignac number, because 10040144409 - 223 = 10031755801 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (10040144419) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 84127 + ... + 164795.

It is an arithmetic number, because the mean of its divisors is an integer number (1208638275).

Almost surely, 210040144409 is an apocalyptic number.

It is an amenable number.

10040144409 is a deficient number, since it is larger than the sum of its proper divisors (4463514891).

10040144409 is a wasteful number, since it uses less digits than its factorization.

10040144409 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 94504 (or 94501 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

It can be divided in two parts, 10040 and 144409, that added together give a square (154449 = 3932).

The spelling of 10040144409 in words is "ten billion, forty million, one hundred forty-four thousand, four hundred nine".

Divisors: 1 3 9 13829 41487 80669 124461 242007 726021 1115571601 3346714803 10040144409