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144113310 = 23351148523
BaseRepresentation
bin10001001011011…
…11111010011110
3101001011201022000
420211233322132
5243343111220
622144503130
73366641265
oct1045577236
9331151260
10144113310
1174391510
124031aaa6
1323b1a663
14151d55dc
15c9ba390
hex896fe9e

144113310 has 64 divisors (see below), whose sum is σ = 419247360. Its totient is φ = 34935840.

The previous prime is 144113297. The next prime is 144113311. The reversal of 144113310 is 13311441.

It is a super-2 number, since 2×1441133102 = 41537292238312200, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (144113311) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 21292 + ... + 27231.

It is an arithmetic number, because the mean of its divisors is an integer number (6550740).

Almost surely, 2144113310 is an apocalyptic number.

144113310 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

144113310 is an abundant number, since it is smaller than the sum of its proper divisors (275134050).

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

144113310 is a wasteful number, since it uses less digits than its factorization.

144113310 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48550 (or 48544 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 144113310 is about 12004.7203216068. The cubic root of 144113310 is about 524.2857225234.

Adding to 144113310 its reverse (13311441), we get a palindrome (157424751).

The spelling of 144113310 in words is "one hundred forty-four million, one hundred thirteen thousand, three hundred ten".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 27 30 33 45 54 55 66 90 99 110 135 165 198 270 297 330 495 594 990 1485 2970 48523 97046 145569 242615 291138 436707 485230 533753 727845 873414 1067506 1310121 1455690 1601259 2183535 2620242 2668765 3202518 4367070 4803777 5337530 6550605 8006295 9607554 13101210 14411331 16012590 24018885 28822662 48037770 72056655 144113310