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144334120 = 23572292251
BaseRepresentation
bin10001001101001…
…01110100101000
3101001120221012011
420212211310220
5243422142440
622153325304
73401551120
oct1046456450
9331527164
10144334120
11745223a7
1240406834
1323b97008
1415251c80
15ca109ea
hex89a5d28

144334120 has 64 divisors (see below), whose sum is σ = 372931200. Its totient is φ = 49248000.

The previous prime is 144334117. The next prime is 144334129. The reversal of 144334120 is 21433441.

It is a junction number, because it is equal to n+sod(n) for n = 144334091 and 144334100.

It is not an unprimeable number, because it can be changed into a prime (144334129) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 62995 + ... + 65245.

It is an arithmetic number, because the mean of its divisors is an integer number (5827050).

Almost surely, 2144334120 is an apocalyptic number.

144334120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 144334120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186465600).

144334120 is an abundant number, since it is smaller than the sum of its proper divisors (228597080).

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

144334120 is a wasteful number, since it uses less digits than its factorization.

144334120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2498 (or 2494 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 22.

The square root of 144334120 is about 12013.9136004884. The cubic root of 144334120 is about 524.5533555742.

Adding to 144334120 its reverse (21433441), we get a palindrome (165767561).

The spelling of 144334120 in words is "one hundred forty-four million, three hundred thirty-four thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 70 140 229 280 458 916 1145 1603 1832 2251 2290 3206 4502 4580 6412 8015 9004 9160 11255 12824 15757 16030 18008 22510 31514 32060 45020 63028 64120 78785 90040 126056 157570 315140 515479 630280 1030958 2061916 2577395 3608353 4123832 5154790 7216706 10309580 14433412 18041765 20619160 28866824 36083530 72167060 144334120