Search a number
-
+
40514621641 = 132733283993
BaseRepresentation
bin100101101110110111…
…000001000011001001
310212120112102000200021
4211232313001003021
51130433220343031
630340120540441
72632663413304
oct455667010311
9125515360607
1040514621641
11162004a198a
127a28321721
133a88886a00
141d64a8bb3b
1510c1c8c511
hex96edc10c9

40514621641 has 12 divisors (see below), whose sum is σ = 44471846748. Its totient is φ = 36885798144.

The previous prime is 40514621621. The next prime is 40514621701. The reversal of 40514621641 is 14612641504.

It can be written as a sum of positive squares in 6 ways, for example, as 41229241 + 40473392400 = 6421^2 + 201180^2 .

It is not a de Polignac number, because 40514621641 - 231 = 38367137993 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 40514621597 and 40514621606.

It is not an unprimeable number, because it can be changed into a prime (40514621621) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1629660 + ... + 1654333.

It is an arithmetic number, because the mean of its divisors is an integer number (3705987229).

Almost surely, 240514621641 is an apocalyptic number.

It is an amenable number.

40514621641 is a deficient number, since it is larger than the sum of its proper divisors (3957225107).

40514621641 is a wasteful number, since it uses less digits than its factorization.

40514621641 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3284092 (or 3284079 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 34.

The spelling of 40514621641 in words is "forty billion, five hundred fourteen million, six hundred twenty-one thousand, six hundred forty-one".

Divisors: 1 13 73 169 949 12337 3283993 42691909 239731489 554994817 3116509357 40514621641