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40132273648229 = 728093517287857
BaseRepresentation
bin10010010000000000001011…
…11010100011001001100101
312021002121102011010112221222
421020000011322203021211
520230011344023220404
6221204302331350125
711311314103360100
oct1110000572431145
9167077364115858
1040132273648229
1111873002256824
124601aa12b2345
1319515c3518b79
149ca5ab913737
15498dec498dbe
hex248005ea3265

40132273648229 has 24 divisors (see below), whose sum is σ = 46755640779480. Its totient is φ = 34346683155456.

The previous prime is 40132273648211. The next prime is 40132273648289. The reversal of 40132273648229 is 92284637223104.

It can be written as a sum of positive squares in 4 ways, for example, as 29723758802500 + 10408514845729 = 5451950^2 + 3226223^2 .

It is a de Polignac number, because none of the positive numbers 2k-40132273648229 is a prime.

It is a super-2 number, since 2×401322736482292 (a number of 28 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40132273648289) 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, 139273469 + ... + 139561325.

It is an arithmetic number, because the mean of its divisors is an integer number (1948151699145).

Almost surely, 240132273648229 is an apocalyptic number.

40132273648229 is a gapful number since it is divisible by the number (49) formed by its first and last digit.

It is an amenable number.

40132273648229 is a deficient number, since it is larger than the sum of its proper divisors (6623367131251).

40132273648229 is a wasteful number, since it uses less digits than its factorization.

40132273648229 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 292197 (or 292190 counting only the distinct ones).

The product of its (nonzero) digits is 6967296, while the sum is 53.

The spelling of 40132273648229 in words is "forty trillion, one hundred thirty-two billion, two hundred seventy-three million, six hundred forty-eight thousand, two hundred twenty-nine".

Divisors: 1 7 49 809 3517 5663 24619 39641 172333 287857 2014999 2845253 14104993 19916771 139417397 232876313 1012393069 1630134191 7086751483 11410939337 49607260381 819025992821 5733181949747 40132273648229