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144240030 = 232511532749
BaseRepresentation
bin10001001100011…
…10110110011110
3101001102011010100
420212032312132
5243411140110
622151321530
73401006604
oct1046166636
9331364110
10144240030
1174468740
12403802a6
1323b6323c
1415229874
15c9e2bc0
hex898ed9e

144240030 has 96 divisors (see below), whose sum is σ = 416988000. Its totient is φ = 34295040.

The previous prime is 144240029. The next prime is 144240049. The reversal of 144240030 is 30042441.

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 = 144239985 and 144240012.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 51096 + ... + 53844.

It is an arithmetic number, because the mean of its divisors is an integer number (4343625).

Almost surely, 2144240030 is an apocalyptic number.

144240030 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 144240030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (208494000).

144240030 is an abundant number, since it is smaller than the sum of its proper divisors (272747970).

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

144240030 is a wasteful number, since it uses less digits than its factorization.

144240030 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2826 (or 2823 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 144240030 is about 12009.9970857615. The cubic root of 144240030 is about 524.4393470643.

Adding to 144240030 its reverse (30042441), we get a palindrome (174282471).

The spelling of 144240030 in words is "one hundred forty-four million, two hundred forty thousand, thirty".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 30 33 45 53 55 66 90 99 106 110 159 165 198 265 318 330 477 495 530 583 795 954 990 1166 1590 1749 2385 2749 2915 3498 4770 5247 5498 5830 8247 8745 10494 13745 16494 17490 24741 26235 27490 30239 41235 49482 52470 60478 82470 90717 123705 145697 151195 181434 247410 272151 291394 302390 437091 453585 544302 728485 874182 907170 1311273 1360755 1456970 1602667 2185455 2622546 2721510 3205334 4370910 4808001 6556365 8013335 9616002 13112730 14424003 16026670 24040005 28848006 48080010 72120015 144240030