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144113424 = 24371332993
BaseRepresentation
bin10001001011011…
…11111100010000
3101001011201110020
420211233330100
5243343112144
622144503440
73366641520
oct1045577420
9331151406
10144113424
1174391604
124031ab80
1323b1a720
14151d5680
15c9ba419
hex896ff10

144113424 has 80 divisors (see below), whose sum is σ = 458220672. Its totient is φ = 38006784.

The previous prime is 144113419. The next prime is 144113429. The reversal of 144113424 is 424311441.

144113424 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (144113419) and next prime (144113429).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 144113394 and 144113403.

It is not an unprimeable number, because it can be changed into a prime (144113429) 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, 12129 + ... + 20864.

Almost surely, 2144113424 is an apocalyptic number.

144113424 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

144113424 is an abundant number, since it is smaller than the sum of its proper divisors (314107248).

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

144113424 is a wasteful number, since it uses less digits than its factorization.

144113424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33024 (or 33018 counting only the distinct ones).

The product of its digits is 1536, while the sum is 24.

The square root of 144113424 is about 12004.7250697382. The cubic root of 144113424 is about 524.2858607677.

Adding to 144113424 its reverse (424311441), we get a palindrome (568424865).

The spelling of 144113424 in words is "one hundred forty-four million, one hundred thirteen thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 7 8 12 13 14 16 21 24 26 28 39 42 48 52 56 78 84 91 104 112 156 168 182 208 273 312 336 364 546 624 728 1092 1456 2184 4368 32993 65986 98979 131972 197958 230951 263944 395916 428909 461902 527888 692853 791832 857818 923804 1286727 1385706 1583664 1715636 1847608 2573454 2771412 3002363 3431272 3695216 5146908 5542824 6004726 6862544 9007089 10293816 11085648 12009452 18014178 20587632 24018904 36028356 48037808 72056712 144113424