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144424640565 = 3253499196093
BaseRepresentation
bin1000011010000001100…
…0010010000000110101
3111210210012102220112200
42012200120102000311
54331240201444230
6150203041135113
713301656122012
oct2064030220065
9453705386480
10144424640565
1156282a43087
1223ba762a499
13108084716ca
146dc111c709
153b543c6160
hex21a0612035

144424640565 has 24 divisors (see below), whose sum is σ = 251053366200. Its totient is φ = 76805760384.

The previous prime is 144424640537. The next prime is 144424640567. The reversal of 144424640565 is 565046424441.

144424640565 is a `hidden beast` number, since 1 + 4 + 4 + 4 + 2 + 46 + 40 + 565 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 59453556561 + 84971084004 = 243831^2 + 291498^2 .

It is not a de Polignac number, because 144424640565 - 29 = 144424640053 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 144424640565.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (144424640567) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4582342 + ... + 4613751.

It is an arithmetic number, because the mean of its divisors is an integer number (10460556925).

Almost surely, 2144424640565 is an apocalyptic number.

144424640565 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

144424640565 is a deficient number, since it is larger than the sum of its proper divisors (106628725635).

144424640565 is a wasteful number, since it uses less digits than its factorization.

144424640565 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9196453 (or 9196450 counting only the distinct ones).

The product of its (nonzero) digits is 1843200, while the sum is 45.

The spelling of 144424640565 in words is "one hundred forty-four billion, four hundred twenty-four million, six hundred forty thousand, five hundred sixty-five".

Divisors: 1 3 5 9 15 45 349 1047 1745 3141 5235 15705 9196093 27588279 45980465 82764837 137941395 413824185 3209436457 9628309371 16047182285 28884928113 48141546855 144424640565