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144101761 is a prime number
BaseRepresentation
bin10001001011011…
…01000110000001
3101001011010110021
420211231012001
5243342224021
622144333441
73366562516
oct1045550601
9331133407
10144101761
1174383871
1240314281
1323b1531b
14151d130d
15c9b6c41
hex896d181

144101761 has 2 divisors, whose sum is σ = 144101762. Its totient is φ = 144101760.

The previous prime is 144101759. The next prime is 144101773. The reversal of 144101761 is 167101441.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 144000000 + 101761 = 12000^2 + 319^2 .

It is a cyclic number.

It is not a de Polignac number, because 144101761 - 21 = 144101759 is a prime.

It is a super-2 number, since 2×1441017612 = 41530635046602242, which contains 22 as substring.

Together with 144101759, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (144101701) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 72050880 + 72050881.

It is an arithmetic number, because the mean of its divisors is an integer number (72050881).

Almost surely, 2144101761 is an apocalyptic number.

It is an amenable number.

144101761 is a deficient number, since it is larger than the sum of its proper divisors (1).

144101761 is an equidigital number, since it uses as much as digits as its factorization.

144101761 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 672, while the sum is 25.

The square root of 144101761 is about 12004.2392928498. The cubic root of 144101761 is about 524.2717170218.

It can be divided in two parts, 144 and 101761, that multiplied together give a square (14653584 = 38282).

The spelling of 144101761 in words is "one hundred forty-four million, one hundred one thousand, seven hundred sixty-one".