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40833497329 = 39725092
BaseRepresentation
bin100110000001110111…
…011011100011110001
310220101202102120212221
4212001313123203301
51132111333403304
630431511321041
72643615000112
oct460167334361
9126352376787
1040833497329
1116354498a09
127ab7080181
133b09963251
141d95176209
1510dec79054
hex981ddb8f1

40833497329 has 9 divisors (see below), whose sum is σ = 41017195137. Its totient is φ = 40650621264.

The previous prime is 40833497323. The next prime is 40833497371. The reversal of 40833497329 is 92379433804.

It is a happy number.

The square root of 40833497329 is 202073.

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 9803970225 + 31029527104 = 99015^2 + 176152^2 .

It is a de Polignac number, because none of the positive numbers 2k-40833497329 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (40833497323) 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 8 ways as a sum of consecutive naturals, for example, 80222727 + ... + 80223235.

Almost surely, 240833497329 is an apocalyptic number.

40833497329 is the 202073-rd square number.

40833497329 is the 101037-th centered octagonal number.

It is an amenable number.

40833497329 is a deficient number, since it is larger than the sum of its proper divisors (183697808).

40833497329 is an frugal number, since it uses more digits than its factorization.

40833497329 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1812 (or 906 counting only the distinct ones).

The product of its (nonzero) digits is 3919104, while the sum is 52.

The spelling of 40833497329 in words is "forty billion, eight hundred thirty-three million, four hundred ninety-seven thousand, three hundred twenty-nine".

Divisors: 1 397 509 157609 202073 259081 80222981 102855157 40833497329