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40134558187349 is a prime number
BaseRepresentation
bin10010010000000100011100…
…00101010111111101010101
312021002211022100220011110222
421020002032011113331111
520230031033343443344
6221205321141124125
711311424523546023
oct1110021605277525
9167084270804428
1040134558187349
1111873a7487788a
12460241a3b9645
131951898909972
149ca7470b9713
15498ed2d145ee
hex24808e157f55

40134558187349 has 2 divisors, whose sum is σ = 40134558187350. Its totient is φ = 40134558187348.

The previous prime is 40134558187259. The next prime is 40134558187357. The reversal of 40134558187349 is 94378185543104.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 37613909788324 + 2520648399025 = 6133018^2 + 1587655^2 .

It is a cyclic number.

It is not a de Polignac number, because 40134558187349 - 216 = 40134558121813 is a prime.

It is a super-3 number, since 3×401345581873493 (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 = 40134558187291 and 40134558187300.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (40134558187369) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 20067279093674 + 20067279093675.

It is an arithmetic number, because the mean of its divisors is an integer number (20067279093675).

Almost surely, 240134558187349 is an apocalyptic number.

It is an amenable number.

40134558187349 is a deficient number, since it is larger than the sum of its proper divisors (1).

40134558187349 is an equidigital number, since it uses as much as digits as its factorization.

40134558187349 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 58060800, while the sum is 62.

The spelling of 40134558187349 in words is "forty trillion, one hundred thirty-four billion, five hundred fifty-eight million, one hundred eighty-seven thousand, three hundred forty-nine".