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144415050 = 235213312389
BaseRepresentation
bin10001001101110…
…01100101001010
3101001202001012120
420212321211022
5243432240200
622155152110
73402336063
oct1046714512
9331661176
10144415050
117457818a
1240445636
1323bc4ac0
141527356a
15ca299a0
hex89b994a

144415050 has 96 divisors (see below), whose sum is σ = 398307840. Its totient is φ = 34387200.

The previous prime is 144415039. The next prime is 144415057. The reversal of 144415050 is 50514441.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 144415050.

It is not an unprimeable number, because it can be changed into a prime (144415057) 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, 59256 + ... + 61644.

It is an arithmetic number, because the mean of its divisors is an integer number (4149040).

Almost surely, 2144415050 is an apocalyptic number.

144415050 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 144415050, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199153920).

144415050 is an abundant number, since it is smaller than the sum of its proper divisors (253892790).

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

144415050 is a wasteful number, since it uses less digits than its factorization.

144415050 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2448 (or 2443 counting only the distinct ones).

The product of its (nonzero) digits is 1600, while the sum is 24.

The square root of 144415050 is about 12017.2813065185. The cubic root of 144415050 is about 524.6513785297.

Adding to 144415050 its reverse (50514441), we get a palindrome (194929491).

It can be divided in two parts, 14441 and 5050, that added together give a palindrome (19491).

The spelling of 144415050 in words is "one hundred forty-four million, four hundred fifteen thousand, fifty".

Divisors: 1 2 3 5 6 10 13 15 25 26 30 31 39 50 62 65 75 78 93 130 150 155 186 195 310 325 390 403 465 650 775 806 930 975 1209 1550 1950 2015 2325 2389 2418 4030 4650 4778 6045 7167 10075 11945 12090 14334 20150 23890 30225 31057 35835 59725 60450 62114 71670 74059 93171 119450 148118 155285 179175 186342 222177 310570 358350 370295 444354 465855 740590 776425 931710 962767 1110885 1552850 1851475 1925534 2221770 2329275 2888301 3702950 4658550 4813835 5554425 5776602 9627670 11108850 14441505 24069175 28883010 48138350 72207525 144415050