Search a number
-
+
24232440144 = 243111671991381
BaseRepresentation
bin10110100100010111…
…011011000101010000
32022112210121111122010
4112210113123011100
5344112001041034
615044321142520
71515334225353
oct264427330520
968483544563
1024232440144
11a305642a40
12484348aa40
1323925011a3
14125c46429a
1596c6073e9
hex5a45db150

24232440144 has 160 divisors (see below), whose sum is σ = 69095577600. Its totient is φ = 7257254400.

The previous prime is 24232440143. The next prime is 24232440163. The reversal of 24232440144 is 44104423242.

It is a super-2 number, since 2×242324401442 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (24232440143) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 17546334 + ... + 17547714.

It is an arithmetic number, because the mean of its divisors is an integer number (431847360).

Almost surely, 224232440144 is an apocalyptic number.

24232440144 is a gapful number since it is divisible by the number (24) 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 24232440144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34547788800).

24232440144 is an abundant number, since it is smaller than the sum of its proper divisors (44863137456).

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

24232440144 is a wasteful number, since it uses less digits than its factorization.

24232440144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1769 (or 1763 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 30.

Adding to 24232440144 its reverse (44104423242), we get a palindrome (68336863386).

The spelling of 24232440144 in words is "twenty-four billion, two hundred thirty-two million, four hundred forty thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 44 48 66 88 132 167 176 199 264 334 398 501 528 597 668 796 1002 1194 1336 1381 1592 1837 2004 2189 2388 2672 2762 3184 3674 4008 4143 4378 4776 5511 5524 6567 7348 8016 8286 8756 9552 11022 11048 13134 14696 15191 16572 17512 22044 22096 26268 29392 30382 33144 33233 35024 44088 45573 52536 60764 66288 66466 88176 91146 99699 105072 121528 132932 182292 199398 230627 243056 265864 274819 364584 365563 398796 461254 531728 549638 691881 729168 731126 797592 824457 922508 1096689 1099276 1383762 1462252 1595184 1648914 1845016 2193378 2198552 2536897 2767524 2924504 3023009 3297828 3690032 4386756 4397104 5073794 5535048 5849008 6046018 6595656 7610691 8773512 9069027 10147588 11070096 12092036 13191312 15221382 17547024 18138054 20295176 24184072 30442764 36276108 40590352 45894773 48368144 60885528 72552216 91789546 121771056 137684319 145104432 183579092 275368638 367158184 504842503 550737276 734316368 1009685006 1101474552 1514527509 2019370012 2202949104 3029055018 4038740024 6058110036 8077480048 12116220072 24232440144