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42400129973 is a prime number
BaseRepresentation
bin100111011111001111…
…101010001110110101
311001102221022202212012
4213133033222032311
51143313413124343
631251153534005
73030500105165
oct473717521665
9131387282765
1042400129973
1116a8884a233
128273874305
133cc93b5406
1420a32625a5
151182586718
hex9df3ea3b5

42400129973 has 2 divisors, whose sum is σ = 42400129974. Its totient is φ = 42400129972.

The previous prime is 42400129943. The next prime is 42400130041. The reversal of 42400129973 is 37992100424.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 28522818769 + 13877311204 = 168887^2 + 117802^2 .

It is a cyclic number.

It is not a de Polignac number, because 42400129973 - 234 = 25220260789 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 42400129973.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (42400129943) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 21200064986 + 21200064987.

It is an arithmetic number, because the mean of its divisors is an integer number (21200064987).

Almost surely, 242400129973 is an apocalyptic number.

It is an amenable number.

42400129973 is a deficient number, since it is larger than the sum of its proper divisors (1).

42400129973 is an equidigital number, since it uses as much as digits as its factorization.

42400129973 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 108864, while the sum is 41.

The spelling of 42400129973 in words is "forty-two billion, four hundred million, one hundred twenty-nine thousand, nine hundred seventy-three".