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41401181137 is a prime number
BaseRepresentation
bin100110100011101100…
…111110001111010001
310221212022121220200011
4212203230332033101
51134242200244022
631004110554521
72663650143001
oct464354761721
9127768556604
1041401181137
1116615984188
128035208a41
133b9a455824
14200a70a001
151124a11977
hex9a3b3e3d1

41401181137 has 2 divisors, whose sum is σ = 41401181138. Its totient is φ = 41401181136.

The previous prime is 41401181131. The next prime is 41401181141. The reversal of 41401181137 is 73118110414.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 37291858321 + 4109322816 = 193111^2 + 64104^2 .

It is a cyclic number.

It is not a de Polignac number, because 41401181137 - 219 = 41400656849 is a prime.

It is a super-2 number, since 2×414011811372 (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 41401181099 and 41401181108.

It is not a weakly prime, because it can be changed into another prime (41401181131) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 20700590568 + 20700590569.

It is an arithmetic number, because the mean of its divisors is an integer number (20700590569).

Almost surely, 241401181137 is an apocalyptic number.

It is an amenable number.

41401181137 is a deficient number, since it is larger than the sum of its proper divisors (1).

41401181137 is an equidigital number, since it uses as much as digits as its factorization.

41401181137 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 2688, while the sum is 31.

The spelling of 41401181137 in words is "forty-one billion, four hundred one million, one hundred eighty-one thousand, one hundred thirty-seven".