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40271304393 = 3234940131973
BaseRepresentation
bin100101100000010110…
…110101011011001001
310211221120120020011100
4211200112311123021
51124433423220033
630300025452013
72623650303465
oct454026653311
9124846506140
1040271304393
1116096113051
12797a941009
133a4a343cc8
141d406314a5
1510aa728513
hex9605b56c9

40271304393 has 24 divisors (see below), whose sum is σ = 58483643400. Its totient is φ = 26703014400.

The previous prime is 40271304377. The next prime is 40271304457. The reversal of 40271304393 is 39340317204.

It can be written as a sum of positive squares in 4 ways, for example, as 33691336704 + 6579967689 = 183552^2 + 81117^2 .

It is not a de Polignac number, because 40271304393 - 24 = 40271304377 is a prime.

It is a super-3 number, since 3×402713043933 (a number of 33 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (40271304893) 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 23 ways as a sum of consecutive naturals, for example, 1243555 + ... + 1275527.

It is an arithmetic number, because the mean of its divisors is an integer number (2436818475).

Almost surely, 240271304393 is an apocalyptic number.

It is an amenable number.

40271304393 is a deficient number, since it is larger than the sum of its proper divisors (18212339007).

40271304393 is a wasteful number, since it uses less digits than its factorization.

40271304393 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32729 (or 32726 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 36.

The spelling of 40271304393 in words is "forty billion, two hundred seventy-one million, three hundred four thousand, three hundred ninety-three".

Divisors: 1 3 9 349 401 1047 1203 3141 3609 31973 95919 139949 287757 419847 1259541 11158577 12821173 33475731 38463519 100427193 115390557 4474589377 13423768131 40271304393