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144114525 = 33521719661
BaseRepresentation
bin10001001011100…
…00001101011101
3101001011202222000
420211300031131
5243343131100
622144512513
73366644652
oct1045601535
9331152860
10144114525
1174392415
124031b739
1323b1b089
14151d5c29
15c9ba900
hex897035d

144114525 has 96 divisors (see below), whose sum is σ = 295516800. Its totient is φ = 68428800.

The previous prime is 144114499. The next prime is 144114533. The reversal of 144114525 is 525411441.

It is not a de Polignac number, because 144114525 - 211 = 144112477 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 217695 + ... + 218355.

It is an arithmetic number, because the mean of its divisors is an integer number (3078300).

Almost surely, 2144114525 is an apocalyptic number.

144114525 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

144114525 is an abundant number, since it is smaller than the sum of its proper divisors (151402275).

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

144114525 is a wasteful number, since it uses less digits than its factorization.

144114525 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 716 (or 705 counting only the distinct ones).

The product of its digits is 3200, while the sum is 27.

The square root of 144114525 is about 12004.7709265941. The cubic root of 144114525 is about 524.2871959135.

Adding to 144114525 its reverse (525411441), we get a palindrome (669525966).

The spelling of 144114525 in words is "one hundred forty-four million, one hundred fourteen thousand, five hundred twenty-five".

Divisors: 1 3 5 9 15 17 19 25 27 45 51 57 75 85 95 135 153 171 225 255 285 323 425 459 475 513 661 675 765 855 969 1275 1425 1615 1983 2295 2565 2907 3305 3825 4275 4845 5949 8075 8721 9915 11237 11475 12559 12825 14535 16525 17847 24225 29745 33711 37677 43605 49575 56185 62795 72675 89235 101133 113031 148725 168555 188385 213503 218025 280925 303399 313975 339093 446175 505665 565155 640509 842775 941925 1067515 1516995 1695465 1921527 2528325 2825775 3202545 5337575 5764581 7584975 8477325 9607635 16012725 28822905 48038175 144114525