Search a number
-
+
24314434040 = 23513291612363
BaseRepresentation
bin10110101001010000…
…001101000111111000
32022202111220020010002
4112221100031013320
5344243443342130
615100410412132
71520351164541
oct265120150770
968674806102
1024314434040
11a347956196
124866a31048
1323a64abca0
1412692c94c8
15974901b45
hex5a940d1f8

24314434040 has 64 divisors (see below), whose sum is σ = 60947359200. Its totient is φ = 8668058112.

The previous prime is 24314434037. The next prime is 24314434049. The reversal of 24314434040 is 4043441342.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (29).

It is a junction number, because it is equal to n+sod(n) for n = 24314433994 and 24314434012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (24314434049) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 791102 + ... + 821261.

Almost surely, 224314434040 is an apocalyptic number.

24314434040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

24314434040 is an abundant number, since it is smaller than the sum of its proper divisors (36632925160).

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

24314434040 is a wasteful number, since it uses less digits than its factorization.

24314434040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1612416 (or 1612412 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 29.

Adding to 24314434040 its reverse (4043441342), we get a palindrome (28357875382).

The spelling of 24314434040 in words is "twenty-four billion, three hundred fourteen million, four hundred thirty-four thousand, forty".

Divisors: 1 2 4 5 8 10 13 20 26 29 40 52 58 65 104 116 130 145 232 260 290 377 520 580 754 1160 1508 1885 3016 3770 7540 15080 1612363 3224726 6449452 8061815 12898904 16123630 20960719 32247260 41921438 46758527 64494520 83842876 93517054 104803595 167685752 187034108 209607190 233792635 374068216 419214380 467585270 607860851 838428760 935170540 1215721702 1870341080 2431443404 3039304255 4862886808 6078608510 12157217020 24314434040