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144544075 = 52132361317
BaseRepresentation
bin10001001110110…
…01000101001011
3101001222121012021
420213121011023
5244000402300
622202025311
73403414204
oct1047310513
9331877167
10144544075
1174656115
12404a8237
1323c3b750
14152a85ab
15ca52d1a
hex89d914b

144544075 has 48 divisors (see below), whose sum is σ = 205361856. Its totient is φ = 100108800.

The previous prime is 144544067. The next prime is 144544079. The reversal of 144544075 is 570445441.

It is not a de Polignac number, because 144544075 - 23 = 144544067 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 144544075.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (144544079) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 455817 + ... + 456133.

It is an arithmetic number, because the mean of its divisors is an integer number (4278372).

Almost surely, 2144544075 is an apocalyptic number.

144544075 is a deficient number, since it is larger than the sum of its proper divisors (60817781).

144544075 is a wasteful number, since it uses less digits than its factorization.

144544075 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 424 (or 419 counting only the distinct ones).

The product of its (nonzero) digits is 44800, while the sum is 34.

The square root of 144544075 is about 12022.6484187137. The cubic root of 144544075 is about 524.8075787650.

The spelling of 144544075 in words is "one hundred forty-four million, five hundred forty-four thousand, seventy-five".

Divisors: 1 5 13 23 25 61 65 115 299 305 317 325 575 793 1403 1495 1525 1585 3965 4121 7015 7291 7475 7925 18239 19337 19825 20605 35075 36455 91195 94783 96685 103025 182275 251381 444751 455975 473915 483425 1256905 2223755 2369575 5781763 6284525 11118775 28908815 144544075