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144425540 = 22572178669
BaseRepresentation
bin10001001101111…
…00001001000100
3101001202120121002
420212330021010
5243433104130
622155312432
73402411500
oct1046741104
9331676532
10144425540
1174585056
124044b718
1323bc97cc
1415277300
15ca2cb45
hex89bc244

144425540 has 72 divisors (see below), whose sum is σ = 373607640. Its totient is φ = 46599168.

The previous prime is 144425527. The next prime is 144425563. The reversal of 144425540 is 45524441.

It can be written as a sum of positive squares in 4 ways, for example, as 26399044 + 118026496 = 5138^2 + 10864^2 .

It is an unprimeable number.

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 in 23 ways as a sum of consecutive naturals, for example, 12326 + ... + 20994.

It is an arithmetic number, because the mean of its divisors is an integer number (5188995).

Almost surely, 2144425540 is an apocalyptic number.

144425540 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 144425540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186803820).

144425540 is an abundant number, since it is smaller than the sum of its proper divisors (229182100).

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

144425540 is a wasteful number, since it uses less digits than its factorization.

144425540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8709 (or 8700 counting only the distinct ones).

The product of its (nonzero) digits is 12800, while the sum is 29.

The square root of 144425540 is about 12017.7177533840. The cubic root of 144425540 is about 524.6640814063.

Adding to 144425540 its reverse (45524441), we get a palindrome (189949981).

The spelling of 144425540 in words is "one hundred forty-four million, four hundred twenty-five thousand, five hundred forty".

Divisors: 1 2 4 5 7 10 14 17 20 28 34 35 49 68 70 85 98 119 140 170 196 238 245 340 476 490 595 833 980 1190 1666 2380 3332 4165 8330 8669 16660 17338 34676 43345 60683 86690 121366 147373 173380 242732 294746 303415 424781 589492 606830 736865 849562 1031611 1213660 1473730 1699124 2063222 2123905 2947460 4126444 4247810 5158055 7221277 8495620 10316110 14442554 20632220 28885108 36106385 72212770 144425540