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144131020 = 225111673923
BaseRepresentation
bin10001001011101…
…00001111001100
3101001012121120221
420211310033030
5243344143040
622145121124
73400044025
oct1045641714
9331177527
10144131020
11743a3850
12403291a4
1323b25737
14151dbc4c
15c9c074a
hex89743cc

144131020 has 48 divisors (see below), whose sum is σ = 332252928. Its totient is φ = 52084160.

The previous prime is 144130993. The next prime is 144131023. The reversal of 144131020 is 20131441.

It is a junction number, because it is equal to n+sod(n) for n = 144130985 and 144131003.

It is not an unprimeable number, because it can be changed into a prime (144131023) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 34779 + ... + 38701.

It is an arithmetic number, because the mean of its divisors is an integer number (6921936).

Almost surely, 2144131020 is an apocalyptic number.

144131020 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 144131020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166126464).

144131020 is an abundant number, since it is smaller than the sum of its proper divisors (188121908).

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

144131020 is a wasteful number, since it uses less digits than its factorization.

144131020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4110 (or 4108 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

The square root of 144131020 is about 12005.4579254604. The cubic root of 144131020 is about 524.3071980318.

Adding to 144131020 its reverse (20131441), we get a palindrome (164262461).

The spelling of 144131020 in words is "one hundred forty-four million, one hundred thirty-one thousand, twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 167 220 334 668 835 1670 1837 3340 3674 3923 7348 7846 9185 15692 18370 19615 36740 39230 43153 78460 86306 172612 215765 431530 655141 863060 1310282 2620564 3275705 6551410 7206551 13102820 14413102 28826204 36032755 72065510 144131020