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144114330 = 2356121291
BaseRepresentation
bin10001001011100…
…00001010011010
3101001011202200210
420211300022122
5243343124310
622144511550
73366644253
oct1045601232
9331152623
10144114330
1174392258
124031b5b6
1323b1ac69
14151d5b2a
15c9ba820
hex897029a

144114330 has 48 divisors (see below), whose sum is σ = 351909792. Its totient is φ = 37771200.

The previous prime is 144114323. The next prime is 144114349. The reversal of 144114330 is 33411441.

It is a super-2 number, since 2×1441143302 = 41537880222697800, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 144114297 and 144114306.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 110985 + ... + 112275.

It is an arithmetic number, because the mean of its divisors is an integer number (7331454).

Almost surely, 2144114330 is an apocalyptic number.

144114330 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 144114330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175954896).

144114330 is an abundant number, since it is smaller than the sum of its proper divisors (207795462).

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

144114330 is a wasteful number, since it uses less digits than its factorization.

144114330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1423 (or 1362 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

The square root of 144114330 is about 12004.7628048204. The cubic root of 144114330 is about 524.2869594440.

Adding to 144114330 its reverse (33411441), we get a palindrome (177525771).

The spelling of 144114330 in words is "one hundred forty-four million, one hundred fourteen thousand, three hundred thirty".

Divisors: 1 2 3 5 6 10 15 30 61 122 183 305 366 610 915 1291 1830 2582 3721 3873 6455 7442 7746 11163 12910 18605 19365 22326 37210 38730 55815 78751 111630 157502 236253 393755 472506 787510 1181265 2362530 4803811 9607622 14411433 24019055 28822866 48038110 72057165 144114330