Search a number
-
+
144445290 = 235112319031
BaseRepresentation
bin10001001110000…
…00111101101010
3101001210120200120
420213000331222
5243434222130
622155544110
73402523203
oct1047007552
9331716616
10144445290
1174598980
124045b036
1323c057b2
14152805aa
15ca33910
hex89c0f6a

144445290 has 64 divisors (see below), whose sum is σ = 394647552. Its totient is φ = 33492800.

The previous prime is 144445283. The next prime is 144445297. The reversal of 144445290 is 92544441.

It is an interprime number because it is at equal distance from previous prime (144445283) and next prime (144445297).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (144445297) 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 31 ways as a sum of consecutive naturals, for example, 1926 + ... + 17105.

It is an arithmetic number, because the mean of its divisors is an integer number (6166368).

Almost surely, 2144445290 is an apocalyptic number.

144445290 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 144445290, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197323776).

144445290 is an abundant number, since it is smaller than the sum of its proper divisors (250202262).

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

144445290 is a wasteful number, since it uses less digits than its factorization.

144445290 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19075.

The product of its (nonzero) digits is 23040, while the sum is 33.

The square root of 144445290 is about 12018.5394287326. The cubic root of 144445290 is about 524.6879960208.

The spelling of 144445290 in words is "one hundred forty-four million, four hundred forty-five thousand, two hundred ninety".

Divisors: 1 2 3 5 6 10 11 15 22 23 30 33 46 55 66 69 110 115 138 165 230 253 330 345 506 690 759 1265 1518 2530 3795 7590 19031 38062 57093 95155 114186 190310 209341 285465 418682 437713 570930 628023 875426 1046705 1256046 1313139 2093410 2188565 2626278 3140115 4377130 4814843 6280230 6565695 9629686 13131390 14444529 24074215 28889058 48148430 72222645 144445290