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144666264897441 = 32725727492
BaseRepresentation
bin100000111001001010111101…
…010101001000011110100001
3200222012221220201212212102100
4200321022331111020132201
5122430203002303204231
61231402433054041013
742320535622343100
oct4071127525103641
9628187821785370
10144666264897441
1142105689102661
121428535b4a9169
136294c7c819a01
1427a1c5540a037
1511ad17ca781e6
hex8392bd5487a1

144666264897441 has 27 divisors (see below), whose sum is σ = 243079114405491. Its totient is φ = 82666292751504.

The previous prime is 144666264897421. The next prime is 144666264897457. The reversal of 144666264897441 is 144798462666441.

The square root of 144666264897441 is 12027729.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 80387882833041 + 64278382064400 = 8965929^2 + 8017380^2 .

It is not a de Polignac number, because 144666264897441 - 223 = 144666256508833 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 144666264897441.

It is not an unprimeable number, because it can be changed into a prime (144666264897421) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 252295935 + ... + 252868683.

Almost surely, 2144666264897441 is an apocalyptic number.

144666264897441 is the 12027729-th square number.

144666264897441 is the 6013865-th centered octagonal number.

It is an amenable number.

144666264897441 is a deficient number, since it is larger than the sum of its proper divisors (98412849508050).

144666264897441 is an frugal number, since it uses more digits than its factorization.

144666264897441 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1145518 (or 572759 counting only the distinct ones).

The product of its digits is 1337720832, while the sum is 72.

The spelling of 144666264897441 in words is "one hundred forty-four trillion, six hundred sixty-six billion, two hundred sixty-four million, eight hundred ninety-seven thousand, four hundred forty-one".

Divisors: 1 3 7 9 21 49 63 147 441 572749 1718247 4009243 5154741 12027729 28064701 36083187 84194103 252582309 328041417001 984124251003 2296289919007 2952372753009 6888869757021 16074029433049 20666609271063 48222088299147 144666264897441