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41140104413437 is a prime number
BaseRepresentation
bin10010101101010101011010…
…10011110100000011111101
312101122221210121112001212001
421112222231103310003331
520343014413212212222
6223255300354342301
711444163065465311
oct1126525523640375
9171587717461761
1041140104413437
111212146946a4a7
12474528988a991
1319c5658c52893
14a23297d6db41
154b523642be27
hex256aad4f40fd

41140104413437 has 2 divisors, whose sum is σ = 41140104413438. Its totient is φ = 41140104413436.

The previous prime is 41140104413207. The next prime is 41140104413459. The reversal of 41140104413437 is 73431440104114.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 38680762216996 + 2459342196441 = 6219386^2 + 1568229^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-41140104413437 is a prime.

It is a super-3 number, since 3×411401044134373 (a number of 42 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 41140104413396 and 41140104413405.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (41140104413537) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 20570052206718 + 20570052206719.

It is an arithmetic number, because the mean of its divisors is an integer number (20570052206719).

Almost surely, 241140104413437 is an apocalyptic number.

It is an amenable number.

41140104413437 is a deficient number, since it is larger than the sum of its proper divisors (1).

41140104413437 is an equidigital number, since it uses as much as digits as its factorization.

41140104413437 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 64512, while the sum is 37.

The spelling of 41140104413437 in words is "forty-one trillion, one hundred forty billion, one hundred four million, four hundred thirteen thousand, four hundred thirty-seven".