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144653115121 is a prime number
BaseRepresentation
bin1000011010110111111…
…1110101111011110001
3111211101010100121201021
42012231333311323301
54332222144140441
6150241442135441
713310432122414
oct2065577657361
9454333317637
10144653115121
115638aa04429
1224050051581
13108438b8558
1470035d3b7b
153b694a73d1
hex21adff5ef1

144653115121 has 2 divisors, whose sum is σ = 144653115122. Its totient is φ = 144653115120.

The previous prime is 144653115059. The next prime is 144653115163. The reversal of 144653115121 is 121511356441.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 97753149025 + 46899966096 = 312655^2 + 216564^2 .

It is a cyclic number.

It is not a de Polignac number, because 144653115121 - 29 = 144653114609 is a prime.

It is a super-3 number, since 3×1446531151213 (a number of 34 digits) contains 333 as substring.

It is not a weakly prime, because it can be changed into another prime (144653116121) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 72326557560 + 72326557561.

It is an arithmetic number, because the mean of its divisors is an integer number (72326557561).

Almost surely, 2144653115121 is an apocalyptic number.

It is an amenable number.

144653115121 is a deficient number, since it is larger than the sum of its proper divisors (1).

144653115121 is an equidigital number, since it uses as much as digits as its factorization.

144653115121 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 14400, while the sum is 34.

The spelling of 144653115121 in words is "one hundred forty-four billion, six hundred fifty-three million, one hundred fifteen thousand, one hundred twenty-one".