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144310040 = 23571134561
BaseRepresentation
bin10001001100111…
…11111100011000
3101001112201011022
420212133330120
5243420410130
622153022012
73401420660
oct1046377430
9331481138
10144310040
11745062a6
12403b4908
1323b89074
14152471a0
15ca087e5
hex899ff18

144310040 has 64 divisors (see below), whose sum is σ = 374448960. Its totient is φ = 49029120.

The previous prime is 144310039. The next prime is 144310051. The reversal of 144310040 is 40013441.

It is a congruent number.

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, 29360 + ... + 33920.

It is an arithmetic number, because the mean of its divisors is an integer number (5850765).

Almost surely, 2144310040 is an apocalyptic number.

144310040 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 144310040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187224480).

144310040 is an abundant number, since it is smaller than the sum of its proper divisors (230138920).

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

144310040 is a wasteful number, since it uses less digits than its factorization.

144310040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4692 (or 4688 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 17.

The square root of 144310040 is about 12012.9113873365. The cubic root of 144310040 is about 524.5241826447.

Adding to 144310040 its reverse (40013441), we get a palindrome (184323481).

The spelling of 144310040 in words is "one hundred forty-four million, three hundred ten thousand, forty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 70 113 140 226 280 452 565 791 904 1130 1582 2260 3164 3955 4520 4561 6328 7910 9122 15820 18244 22805 31640 31927 36488 45610 63854 91220 127708 159635 182440 255416 319270 515393 638540 1030786 1277080 2061572 2576965 3607751 4123144 5153930 7215502 10307860 14431004 18038755 20615720 28862008 36077510 72155020 144310040