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144340413201181 is a prime number
BaseRepresentation
bin100000110100011011011111…
…000011100011101100011101
3200221001210211120102121020101
4200310123133003203230131
5122404333131234414211
61230553023113221101
742255151665541531
oct4064333703435435
9627053746377211
10144340413201181
1141a9a47533a32a
1214232180401791
13627031cba1512
142790182b79bc1
1511a495aa5c5c1
hex8346df0e3b1d

144340413201181 has 2 divisors, whose sum is σ = 144340413201182. Its totient is φ = 144340413201180.

The previous prime is 144340413201119. The next prime is 144340413201263. The reversal of 144340413201181 is 181102314043441.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 115371959605956 + 28968453595225 = 10741134^2 + 5382235^2 .

It is a cyclic number.

It is not a de Polignac number, because 144340413201181 - 219 = 144340412676893 is a prime.

It is a super-2 number, since 2×1443404132011812 (a number of 29 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 144340413201181.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (144340413208181) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 72170206600590 + 72170206600591.

It is an arithmetic number, because the mean of its divisors is an integer number (72170206600591).

Almost surely, 2144340413201181 is an apocalyptic number.

It is an amenable number.

144340413201181 is a deficient number, since it is larger than the sum of its proper divisors (1).

144340413201181 is an equidigital number, since it uses as much as digits as its factorization.

144340413201181 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 36864, while the sum is 37.

The spelling of 144340413201181 in words is "one hundred forty-four trillion, three hundred forty billion, four hundred thirteen million, two hundred one thousand, one hundred eighty-one".