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40136101349 is a prime number
BaseRepresentation
bin100101011000010011…
…000100110111100101
310211121011011012110012
4211120103010313211
51124144320220344
630234355540005
72620416142511
oct453023046745
9124534135405
1040136101349
1116026867aa3
1279415ba605
133a283261c6
141d2a6b9141
15109d91d29e
hex9584c4de5

40136101349 has 2 divisors, whose sum is σ = 40136101350. Its totient is φ = 40136101348.

The previous prime is 40136101337. The next prime is 40136101351. The reversal of 40136101349 is 94310163104.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 25988664100 + 14147437249 = 161210^2 + 118943^2 .

It is a cyclic number.

It is not a de Polignac number, because 40136101349 - 216 = 40136035813 is a prime.

It is a super-2 number, since 2×401361013492 (a number of 22 digits) contains 22 as substring.

Together with 40136101351, it forms a pair of twin primes.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (40136101949) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 20068050674 + 20068050675.

It is an arithmetic number, because the mean of its divisors is an integer number (20068050675).

Almost surely, 240136101349 is an apocalyptic number.

It is an amenable number.

40136101349 is a deficient number, since it is larger than the sum of its proper divisors (1).

40136101349 is an equidigital number, since it uses as much as digits as its factorization.

40136101349 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 7776, while the sum is 32.

The spelling of 40136101349 in words is "forty billion, one hundred thirty-six million, one hundred one thousand, three hundred forty-nine".