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134415718272001 is a prime number
BaseRepresentation
bin11110100100000000011001…
…001000111100110000000001
3122121221000110111222022100001
4132210000121020330300001
5120104231342334201001
61153513421205200001
740212133542550525
oct3644003110746001
9577830414868301
10134415718272001
1139913427832631
12130aa800100001
135a0046a2a40ca
142529a81057d85
1510816dbd43001
hex7a401923cc01

134415718272001 has 2 divisors, whose sum is σ = 134415718272002. Its totient is φ = 134415718272000.

The previous prime is 134415718271953. The next prime is 134415718272007. The reversal of 134415718272001 is 100272817514431.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 133394761612225 + 1020956659776 = 11549665^2 + 1010424^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-134415718272001 is a prime.

It is not a weakly prime, because it can be changed into another prime (134415718272007) 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, 67207859136000 + 67207859136001.

It is an arithmetic number, because the mean of its divisors is an integer number (67207859136001).

Almost surely, 2134415718272001 is an apocalyptic number.

It is an amenable number.

134415718272001 is a deficient number, since it is larger than the sum of its proper divisors (1).

134415718272001 is an equidigital number, since it uses as much as digits as its factorization.

134415718272001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 376320, while the sum is 46.

The spelling of 134415718272001 in words is "one hundred thirty-four trillion, four hundred fifteen billion, seven hundred eighteen million, two hundred seventy-two thousand, one".