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40557376241 is a prime number
BaseRepresentation
bin100101110001011010…
…000111001011110001
310212200111212011221222
4211301122013023301
51131030142014431
630344245154425
72634023003264
oct456132071361
9125614764858
1040557376241
1116222644068
127a3a6bba15
133a946a62a5
141d6a61acdb
1510c58d557b
hex9716872f1

40557376241 has 2 divisors, whose sum is σ = 40557376242. Its totient is φ = 40557376240.

The previous prime is 40557376219. The next prime is 40557376303. The reversal of 40557376241 is 14267375504.

It is a happy number.

40557376241 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 40533366241 + 24010000 = 201329^2 + 4900^2 .

It is a cyclic number.

It is not a de Polignac number, because 40557376241 - 222 = 40553181937 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 40557376192 and 40557376201.

It is not a weakly prime, because it can be changed into another prime (40557376141) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 20278688120 + 20278688121.

It is an arithmetic number, because the mean of its divisors is an integer number (20278688121).

Almost surely, 240557376241 is an apocalyptic number.

It is an amenable number.

40557376241 is a deficient number, since it is larger than the sum of its proper divisors (1).

40557376241 is an equidigital number, since it uses as much as digits as its factorization.

40557376241 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 705600, while the sum is 44.

The spelling of 40557376241 in words is "forty billion, five hundred fifty-seven million, three hundred seventy-six thousand, two hundred forty-one".