Search a number
-
+
144310440 = 23358314489
BaseRepresentation
bin10001001101000…
…00000010101000
3101001112201201010
420212200002220
5243420413230
622153023520
73401422101
oct1046400250
9331481633
10144310440
117450662a
12403b4ba0
1323b892c1
14152473a8
15ca089b0
hex89a00a8

144310440 has 64 divisors (see below), whose sum is σ = 438177600. Its totient is φ = 38016512.

The previous prime is 144310427. The next prime is 144310459. The reversal of 144310440 is 44013441.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2716 + ... + 17204.

It is an arithmetic number, because the mean of its divisors is an integer number (6846525).

Almost surely, 2144310440 is an apocalyptic number.

144310440 is a gapful number since it is divisible by the number (10) 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 144310440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (219088800).

144310440 is an abundant number, since it is smaller than the sum of its proper divisors (293867160).

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

144310440 is a wasteful number, since it uses less digits than its factorization.

144310440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14586 (or 14582 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

The square root of 144310440 is about 12012.9280360785. The cubic root of 144310440 is about 524.5246672714.

Adding to 144310440 its reverse (44013441), we get a palindrome (188323881).

The spelling of 144310440 in words is "one hundred forty-four million, three hundred ten thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 83 120 166 249 332 415 498 664 830 996 1245 1660 1992 2490 3320 4980 9960 14489 28978 43467 57956 72445 86934 115912 144890 173868 217335 289780 347736 434670 579560 869340 1202587 1738680 2405174 3607761 4810348 6012935 7215522 9620696 12025870 14431044 18038805 24051740 28862088 36077610 48103480 72155220 144310440