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10042114041 = 321115790449
BaseRepresentation
bin10010101101000111…
…00111111111111001
3221220212000020201200
421112203213333321
5131031240122131
64340245204413
7503565363261
oct112643477771
927825006650
1010042114041
114293569a03
121b43100709
13c4064431b
146b39a67a1
153db92b2e6
hex2568e7ff9

10042114041 has 6 divisors (see below), whose sum is σ = 14505275850. Its totient is φ = 6694742688.

The previous prime is 10042114039. The next prime is 10042114063. The reversal of 10042114041 is 14041124001.

10042114041 is a `hidden beast` number, since 100 + 421 + 140 + 4 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 9335617641 + 706496400 = 96621^2 + 26580^2 .

It is not a de Polignac number, because 10042114041 - 21 = 10042114039 is a prime.

It is not an unprimeable number, because it can be changed into a prime (10042114021) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 557895216 + ... + 557895233.

It is an arithmetic number, because the mean of its divisors is an integer number (2417545975).

Almost surely, 210042114041 is an apocalyptic number.

It is an amenable number.

10042114041 is a deficient number, since it is larger than the sum of its proper divisors (4463161809).

10042114041 is a wasteful number, since it uses less digits than its factorization.

10042114041 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1115790455 (or 1115790452 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 10042114041 its reverse (14041124001), we get a palindrome (24083238042).

The spelling of 10042114041 in words is "ten billion, forty-two million, one hundred fourteen thousand, forty-one".

Divisors: 1 3 9 1115790449 3347371347 10042114041