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40540553953 is a prime number
BaseRepresentation
bin100101110000011001…
…111100001011100001
310212122100012112010021
4211300121330023201
51131011340211303
630342444433441
72633430010564
oct456031741341
9125570175107
1040540553953
11162140a4249
127a34b48881
133a91066383
141d682bc4db
1510c41b0ebd
hex97067c2e1

40540553953 has 2 divisors, whose sum is σ = 40540553954. Its totient is φ = 40540553952.

The previous prime is 40540553929. The next prime is 40540553971. The reversal of 40540553953 is 35935504504.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 31112726544 + 9427827409 = 176388^2 + 97097^2 .

It is a cyclic number.

It is not a de Polignac number, because 40540553953 - 225 = 40506999521 is a prime.

It is a super-2 number, since 2×405405539532 (a number of 22 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (40540553903) 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 as a sum of consecutive naturals, namely, 20270276976 + 20270276977.

It is an arithmetic number, because the mean of its divisors is an integer number (20270276977).

Almost surely, 240540553953 is an apocalyptic number.

It is an amenable number.

40540553953 is a deficient number, since it is larger than the sum of its proper divisors (1).

40540553953 is an equidigital number, since it uses as much as digits as its factorization.

40540553953 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 810000, while the sum is 43.

The spelling of 40540553953 in words is "forty billion, five hundred forty million, five hundred fifty-three thousand, nine hundred fifty-three".