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40133431321157 is a prime number
BaseRepresentation
bin10010010000000010010101…
…11010101110001001000101
312021002201101211111102200002
421020001022322232021011
520230021231404234112
6221205013244331045
711311354561415606
oct1110011272561105
9167081354442602
1040133431321157
1111873546782609
124602164b43a85
131951749310535
149ca67b585dad
15498e68e231c2
hex24804aeae245

40133431321157 has 2 divisors, whose sum is σ = 40133431321158. Its totient is φ = 40133431321156.

The previous prime is 40133431321103. The next prime is 40133431321187. The reversal of 40133431321157 is 75112313433104.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 37102120504801 + 3031310816356 = 6091151^2 + 1741066^2 .

It is a cyclic number.

It is not a de Polignac number, because 40133431321157 - 28 = 40133431320901 is a prime.

It is a super-2 number, since 2×401334313211572 (a number of 28 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 40133431321157.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (40133431321187) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 20066715660578 + 20066715660579.

It is an arithmetic number, because the mean of its divisors is an integer number (20066715660579).

Almost surely, 240133431321157 is an apocalyptic number.

It is an amenable number.

40133431321157 is a deficient number, since it is larger than the sum of its proper divisors (1).

40133431321157 is an equidigital number, since it uses as much as digits as its factorization.

40133431321157 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 90720, while the sum is 38.

The spelling of 40133431321157 in words is "forty trillion, one hundred thirty-three billion, four hundred thirty-one million, three hundred twenty-one thousand, one hundred fifty-seven".