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144312030 = 2345199377
BaseRepresentation
bin10001001101000…
…00011011011110
3101001112210220000
420212200123132
5243420441110
622153035130
73401426532
oct1046403336
9331483800
10144312030
1174507845
12403b5aa6
1323b89c45
1415247bc2
15ca091c0
hex89a06de

144312030 has 80 divisors (see below), whose sum is σ = 408505680. Its totient is φ = 36453888.

The previous prime is 144312019. The next prime is 144312061. The reversal of 144312030 is 30213441.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 144311994 and 144312012.

It is a congruent number.

It is an unprimeable number.

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 39 ways as a sum of consecutive naturals, for example, 10702 + ... + 20078.

It is an arithmetic number, because the mean of its divisors is an integer number (5106321).

Almost surely, 2144312030 is an apocalyptic number.

144312030 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 144312030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (204252840).

144312030 is an abundant number, since it is smaller than the sum of its proper divisors (264193650).

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

144312030 is a wasteful number, since it uses less digits than its factorization.

144312030 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9415 (or 9406 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 144312030 is about 12012.9942145995. The cubic root of 144312030 is about 524.5265936535.

Adding to 144312030 its reverse (30213441), we get a palindrome (174525471).

It can be divided in two parts, 14431 and 2030, that added together give a palindrome (16461).

The spelling of 144312030 in words is "one hundred forty-four million, three hundred twelve thousand, thirty".

Divisors: 1 2 3 5 6 9 10 15 18 19 27 30 38 45 54 57 81 90 95 114 135 162 171 190 270 285 342 405 513 570 810 855 1026 1539 1710 2565 3078 5130 7695 9377 15390 18754 28131 46885 56262 84393 93770 140655 168786 178163 253179 281310 356326 421965 506358 534489 759537 843930 890815 1068978 1265895 1519074 1603467 1781630 2531790 2672445 3206934 3797685 4810401 5344890 7595370 8017335 9620802 14431203 16034670 24052005 28862406 48104010 72156015 144312030