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144413320 = 23523156971
BaseRepresentation
bin10001001101110…
…01001010001000
3101001201221211111
420212321022020
5243432211240
622155140104
73402331042
oct1046711210
9331657744
10144413320
1174576957
1240444634
1323bc408c
1415272a92
15ca291ea
hex89b9288

144413320 has 32 divisors (see below), whose sum is σ = 339059520. Its totient is φ = 55253440.

The previous prime is 144413293. The next prime is 144413327. The reversal of 144413320 is 23314441.

It is a junction number, because it is equal to n+sod(n) for n = 144413291 and 144413300.

It is not an unprimeable number, because it can be changed into a prime (144413327) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 77566 + ... + 79405.

It is an arithmetic number, because the mean of its divisors is an integer number (10595610).

Almost surely, 2144413320 is an apocalyptic number.

144413320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

144413320 is an abundant number, since it is smaller than the sum of its proper divisors (194646200).

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

144413320 is a wasteful number, since it uses less digits than its factorization.

144413320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 157005 (or 157001 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 22.

The square root of 144413320 is about 12017.2093266282. The cubic root of 144413320 is about 524.6492835252.

Adding to 144413320 its reverse (23314441), we get a palindrome (167727761).

The spelling of 144413320 in words is "one hundred forty-four million, four hundred thirteen thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 20 23 40 46 92 115 184 230 460 920 156971 313942 627884 784855 1255768 1569710 3139420 3610333 6278840 7220666 14441332 18051665 28882664 36103330 72206660 144413320