Search a number
-
+
144121320 = 23325757191
BaseRepresentation
bin10001001011100…
…01110111101000
3101001012010021200
420211301313220
5243343340240
622145004200
73400003530
oct1045616750
9331163250
10144121320
1174397532
1240323660
1323b211b5
14151d84c0
15c9bc930
hex8971de8

144121320 has 96 divisors (see below), whose sum is σ = 535317120. Its totient is φ = 32941440.

The previous prime is 144121309. The next prime is 144121321. The reversal of 144121320 is 23121441.

144121320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 144121293 and 144121302.

It is not an unprimeable number, because it can be changed into a prime (144121321) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 26076 + ... + 31115.

It is an arithmetic number, because the mean of its divisors is an integer number (5576220).

Almost surely, 2144121320 is an apocalyptic number.

144121320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

144121320 is an abundant number, since it is smaller than the sum of its proper divisors (391195800).

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

144121320 is a wasteful number, since it uses less digits than its factorization.

144121320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57215 (or 57208 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 144121320 is about 12005.0539357389. The cubic root of 144121320 is about 524.2954358312.

Adding to 144121320 its reverse (23121441), we get a palindrome (167242761).

It can be divided in two parts, 144121 and 320, that added together give a palindrome (144441).

The spelling of 144121320 in words is "one hundred forty-four million, one hundred twenty-one thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 7 8 9 10 12 14 15 18 20 21 24 28 30 35 36 40 42 45 56 60 63 70 72 84 90 105 120 126 140 168 180 210 252 280 315 360 420 504 630 840 1260 2520 57191 114382 171573 228764 285955 343146 400337 457528 514719 571910 686292 800674 857865 1029438 1143820 1201011 1372584 1601348 1715730 2001685 2058876 2287640 2402022 2573595 3202696 3431460 3603033 4003370 4117752 4804044 5147190 6005055 6862920 7206066 8006740 9608088 10294380 12010110 14412132 16013480 18015165 20588760 24020220 28824264 36030330 48040440 72060660 144121320