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41107157001 = 3219235572
BaseRepresentation
bin100110010010001011…
…010111000000001001
310221002211100221101100
4212102023113000021
51133141413011001
630515005012013
72653450032531
oct462213270011
9127084327340
1041107157001
1116484a11529
127b72854009
133b5156aa51
141dbd6504c1
151108cd3586
hex9922d7009

41107157001 has 27 divisors (see below), whose sum is σ = 62684212071. Its totient is φ = 25955115984.

The previous prime is 41107156999. The next prime is 41107157009. The reversal of 41107157001 is 10075170114.

The square root of 41107157001 is 202749.

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

It can be written as a sum of positive squares in only one way, i.e., 5036031225 + 36071125776 = 70965^2 + 189924^2 .

It is not a de Polignac number, because 41107157001 - 21 = 41107156999 is a prime.

It is not an unprimeable number, because it can be changed into a prime (41107157009) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 11554915 + ... + 11558471.

Almost surely, 241107157001 is an apocalyptic number.

41107157001 is the 202749-th square number.

41107157001 is the 101375-th centered octagonal number.

It is an amenable number.

41107157001 is a deficient number, since it is larger than the sum of its proper divisors (21577055070).

41107157001 is an frugal number, since it uses more digits than its factorization.

41107157001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7158 (or 3579 counting only the distinct ones).

The product of its (nonzero) digits is 980, while the sum is 27.

The spelling of 41107157001 in words is "forty-one billion, one hundred seven million, one hundred fifty-seven thousand, one".

Divisors: 1 3 9 19 57 171 361 1083 3249 3557 10671 32013 67583 202749 608247 1284077 3852231 11556693 12652249 37956747 113870241 240392731 721178193 2163534579 4567461889 13702385667 41107157001