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144324050 = 252131737353
BaseRepresentation
bin10001001101000…
…11010111010010
3101001120102101012
420212203113102
5243421332200
622153210522
73401506553
oct1046432722
9331512335
10144324050
1174515882
1240400a42
1323b92560
141524c32a
15ca0ca35
hex89a35d2

144324050 has 96 divisors (see below), whose sum is σ = 315261072. Its totient is φ = 48660480.

The previous prime is 144324041. The next prime is 144324053. The reversal of 144324050 is 50423441.

It can be written as a sum of positive squares in 24 ways, for example, as 11881 + 144312169 = 109^2 + 12013^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (144324053) 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, 408674 + ... + 409026.

Almost surely, 2144324050 is an apocalyptic number.

144324050 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

144324050 is an abundant number, since it is smaller than the sum of its proper divisors (170937022).

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

144324050 is a wasteful number, since it uses less digits than its factorization.

144324050 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 432 (or 427 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 23.

The square root of 144324050 is about 12013.4944957743. The cubic root of 144324050 is about 524.5411561600.

Adding to 144324050 its reverse (50423441), we get a palindrome (194747491).

The spelling of 144324050 in words is "one hundred forty-four million, three hundred twenty-four thousand, fifty".

Divisors: 1 2 5 10 13 17 25 26 34 37 50 65 74 85 130 170 185 221 325 353 370 425 442 481 629 650 706 850 925 962 1105 1258 1765 1850 2210 2405 3145 3530 4589 4810 5525 6001 6290 8177 8825 9178 11050 12002 12025 13061 15725 16354 17650 22945 24050 26122 30005 31450 40885 45890 60010 65305 78013 81770 114725 130610 150025 156026 169793 204425 222037 229450 300050 326525 339586 390065 408850 444074 653050 780130 848965 1110185 1697930 1950325 2220370 2886481 3900650 4244825 5550925 5772962 8489650 11101850 14432405 28864810 72162025 144324050