Search a number
-
+
40909327935 = 3571725578963
BaseRepresentation
bin100110000110011000…
…101100111000111111
310220121001010011220220
4212012120230320333
51132240241443220
630443220512423
72645525356440
oct460630547077
9126531104826
1040909327935
1116393281633
127b1854b713
133b1c593928
141da12752c7
1510e6757540
hex98662ce3f

40909327935 has 64 divisors (see below), whose sum is σ = 79245775872. Its totient is φ = 17592477696.

The previous prime is 40909327931. The next prime is 40909327939. The reversal of 40909327935 is 53972390904.

It is an interprime number because it is at equal distance from previous prime (40909327931) and next prime (40909327939).

It is not a de Polignac number, because 40909327935 - 22 = 40909327931 is a prime.

It is a super-2 number, since 2×409093279352 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40909327931) 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 63 ways as a sum of consecutive naturals, for example, 4559764 + ... + 4568726.

It is an arithmetic number, because the mean of its divisors is an integer number (1238215248).

Almost surely, 240909327935 is an apocalyptic number.

40909327935 is a deficient number, since it is larger than the sum of its proper divisors (38336447937).

40909327935 is a wasteful number, since it uses less digits than its factorization.

40909327935 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11552.

The product of its (nonzero) digits is 1837080, while the sum is 51.

The spelling of 40909327935 in words is "forty billion, nine hundred nine million, three hundred twenty-seven thousand, nine hundred thirty-five".

Divisors: 1 3 5 7 15 17 21 35 51 85 105 119 255 357 595 1785 2557 7671 8963 12785 17899 26889 38355 43469 44815 53697 62741 89495 130407 134445 152371 188223 217345 268485 304283 313705 457113 652035 761855 912849 941115 1066597 1521415 2285565 3199791 4564245 5332985 15998955 22918391 68755173 114591955 160428737 343775865 389612647 481286211 802143685 1168837941 1948063235 2406431055 2727288529 5844189705 8181865587 13636442645 40909327935