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144167772097 is a prime number
BaseRepresentation
bin1000011001000100010…
…0011001111111000001
3111210010022002122020201
42012101010121333001
54330223422201342
6150121343405201
713262416562236
oct2062104317701
9453108078221
10144167772097
1156160a48a98
1223b355b3801
131079719592b
146d98d7578d
153b3ba86db7
hex2191119fc1

144167772097 has 2 divisors, whose sum is σ = 144167772098. Its totient is φ = 144167772096.

The previous prime is 144167772061. The next prime is 144167772127. The reversal of 144167772097 is 790277761441.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 125345029681 + 18822742416 = 354041^2 + 137196^2 .

It is a cyclic number.

It is not a de Polignac number, because 144167772097 - 215 = 144167739329 is a prime.

It is a super-2 number, since 2×1441677720972 (a number of 23 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (144167712097) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 72083886048 + 72083886049.

It is an arithmetic number, because the mean of its divisors is an integer number (72083886049).

Almost surely, 2144167772097 is an apocalyptic number.

It is an amenable number.

144167772097 is a deficient number, since it is larger than the sum of its proper divisors (1).

144167772097 is an equidigital number, since it uses as much as digits as its factorization.

144167772097 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 4148928, while the sum is 55.

The spelling of 144167772097 in words is "one hundred forty-four billion, one hundred sixty-seven million, seven hundred seventy-two thousand, ninety-seven".