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144444560 = 24513138889
BaseRepresentation
bin10001001110000…
…00110010010000
3101001210112200112
420213000302100
5243434211220
622155540452
73402521111
oct1047006220
9331715615
10144444560
1174598377
124045a728
1323c05370
1415280208
15ca335c5
hex89c0c90

144444560 has 40 divisors (see below), whose sum is σ = 361669560. Its totient is φ = 53332992.

The previous prime is 144444551. The next prime is 144444581. The reversal of 144444560 is 65444441.

It can be written as a sum of positive squares in 4 ways, for example, as 9048064 + 135396496 = 3008^2 + 11636^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 68405 + ... + 70484.

It is an arithmetic number, because the mean of its divisors is an integer number (9041739).

Almost surely, 2144444560 is an apocalyptic number.

144444560 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

144444560 is an abundant number, since it is smaller than the sum of its proper divisors (217225000).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

144444560 is a wasteful number, since it uses less digits than its factorization.

144444560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138915 (or 138909 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 32.

The square root of 144444560 is about 12018.5090589474. The cubic root of 144444560 is about 524.6871121270.

The spelling of 144444560 in words is "one hundred forty-four million, four hundred forty-four thousand, five hundred sixty".

Divisors: 1 2 4 5 8 10 13 16 20 26 40 52 65 80 104 130 208 260 520 1040 138889 277778 555556 694445 1111112 1388890 1805557 2222224 2777780 3611114 5555560 7222228 9027785 11111120 14444456 18055570 28888912 36111140 72222280 144444560