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144133416 = 23327285979
BaseRepresentation
bin10001001011101…
…00110100101000
3101001012201212200
420211310310220
5243344232131
622145140200
73400054020
oct1045646450
9331181780
10144133416
11743a5629
124032a660
1323b2685b
14151dca80
15c9c12e6
hex8974d28

144133416 has 48 divisors (see below), whose sum is σ = 446128800. Its totient is φ = 41180832.

The previous prime is 144133399. The next prime is 144133417. The reversal of 144133416 is 614331441.

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

It is a self number, because there is not a number n which added to its sum of digits gives 144133416.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (144133417) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 142486 + ... + 143493.

It is an arithmetic number, because the mean of its divisors is an integer number (9294350).

Almost surely, 2144133416 is an apocalyptic number.

It is an amenable number.

144133416 is an abundant number, since it is smaller than the sum of its proper divisors (301995384).

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

144133416 is a wasteful number, since it uses less digits than its factorization.

144133416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 285998 (or 285991 counting only the distinct ones).

The product of its digits is 3456, while the sum is 27.

The square root of 144133416 is about 12005.5577129928. The cubic root of 144133416 is about 524.3101033354.

Adding to 144133416 its reverse (614331441), we get a palindrome (758464857).

The spelling of 144133416 in words is "one hundred forty-four million, one hundred thirty-three thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 56 63 72 84 126 168 252 504 285979 571958 857937 1143916 1715874 2001853 2287832 2573811 3431748 4003706 5147622 6005559 6863496 8007412 10295244 12011118 16014824 18016677 20590488 24022236 36033354 48044472 72066708 144133416