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127398311041 = 3569292
BaseRepresentation
bin111011010100110000…
…1111111010010000001
3110011211121101202022111
41312221201333102001
54041402431423131
6134305335535321
712130022530231
oct1665141772201
9404747352274
10127398311041
114a036030771
122083552a541
13c023b8cc01
146247b47cc1
1534a974cab1
hex1da987f481

127398311041 has 3 divisors (see below), whose sum is σ = 127398667971. Its totient is φ = 127397954112.

The previous prime is 127398311009. The next prime is 127398311057. The reversal of 127398311041 is 140113893721.

It is a happy number.

The square root of 127398311041 is 356929.

It is a perfect power (a square), and thus also a powerful number.

It is a semiprime because it is the product of two primes, and also a brilliant number, because the two primes have the same length.

It can be written as a sum of positive squares in only one way, i.e., 20469311041 + 106929000000 = 143071^2 + 327000^2 .

It is not a de Polignac number, because 127398311041 - 25 = 127398311009 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 127398310985 and 127398311003.

It is not an unprimeable number, because it can be changed into a prime (127398311141) 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 2 ways as a sum of consecutive naturals, for example, 178465 + ... + 535393.

It is an arithmetic number, because the mean of its divisors is an integer number (42466222657).

Almost surely, 2127398311041 is an apocalyptic number.

127398311041 is the 356929-th square number.

127398311041 is the 178465-th centered octagonal number.

It is an amenable number.

127398311041 is a deficient number, since it is larger than the sum of its proper divisors (356930).

127398311041 is an frugal number, since it uses more digits than its factorization.

127398311041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 713858 (or 356929 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 40.

The spelling of 127398311041 in words is "one hundred twenty-seven billion, three hundred ninety-eight million, three hundred eleven thousand, forty-one".

Divisors: 1 356929 127398311041