Search a number
-
+
144242430 = 23523261149
BaseRepresentation
bin10001001100011…
…11011011111110
3101001102021102020
420212033123332
5243411224210
622151341010
73401016603
oct1046173376
9331367366
10144242430
117446a522
1240381766
1323b64367
141522a6aa
15c9e3770
hex898f6fe

144242430 has 96 divisors (see below), whose sum is σ = 370288800. Its totient is φ = 35946240.

The previous prime is 144242429. The next prime is 144242431. The reversal of 144242430 is 34242441.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (144242429) and next prime (144242431).

It is a super-2 number, since 2×1442424302 = 41611757224609800, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 144242430.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (144242431) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 967996 + ... + 968144.

It is an arithmetic number, because the mean of its divisors is an integer number (3857175).

Almost surely, 2144242430 is an apocalyptic number.

144242430 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 144242430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185144400).

144242430 is an abundant number, since it is smaller than the sum of its proper divisors (226046370).

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

144242430 is a wasteful number, since it uses less digits than its factorization.

144242430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 266 (or 243 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

The square root of 144242430 is about 12010.0970021062. The cubic root of 144242430 is about 524.4422557516.

Adding to 144242430 its reverse (34242441), we get a palindrome (178484871).

The spelling of 144242430 in words is "one hundred forty-four million, two hundred forty-two thousand, four hundred thirty".

Divisors: 1 2 3 5 6 10 15 23 30 46 61 69 115 122 138 149 183 230 298 305 345 366 447 529 610 690 745 894 915 1058 1403 1490 1587 1830 2235 2645 2806 3174 3427 4209 4470 5290 6854 7015 7935 8418 9089 10281 14030 15870 17135 18178 20562 21045 27267 32269 34270 42090 45445 51405 54534 64538 78821 90890 96807 102810 136335 157642 161345 193614 209047 236463 272670 322690 394105 418094 472926 484035 627141 788210 968070 1045235 1182315 1254282 2090470 2364630 3135705 4808081 6271410 9616162 14424243 24040405 28848486 48080810 72121215 144242430