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144003216 = 2437439967
BaseRepresentation
bin10001001010101…
…01000010010000
3101000222010021110
420211111002100
5243331100331
622142253320
73366002310
oct1045250220
9330863243
10144003216
1174316825
1240287240
1323aac506
14151a7440
15c997946
hex8955090

144003216 has 80 divisors (see below), whose sum is σ = 435083264. Its totient is φ = 40182912.

The previous prime is 144003187. The next prime is 144003217. The reversal of 144003216 is 612300441.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 144003192 and 144003201.

It is not an unprimeable number, because it can be changed into a prime (144003217) 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, 9465 + ... + 19431.

Almost surely, 2144003216 is an apocalyptic number.

144003216 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 144003216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (217541632).

144003216 is an abundant number, since it is smaller than the sum of its proper divisors (291080048).

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

144003216 is a wasteful number, since it uses less digits than its factorization.

144003216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10028 (or 10022 counting only the distinct ones).

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

The square root of 144003216 is about 12000.1339992518. The cubic root of 144003216 is about 524.1521808055.

Adding to 144003216 its reverse (612300441), we get a palindrome (756303657).

The spelling of 144003216 in words is "one hundred forty-four million, three thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 43 48 56 84 86 112 129 168 172 258 301 336 344 516 602 688 903 1032 1204 1806 2064 2408 3612 4816 7224 9967 14448 19934 29901 39868 59802 69769 79736 119604 139538 159472 209307 239208 279076 418614 428581 478416 558152 837228 857162 1116304 1285743 1674456 1714324 2571486 3000067 3348912 3428648 5142972 6000134 6857296 9000201 10285944 12000268 18000402 20571888 24000536 36000804 48001072 72001608 144003216