Search a number
-
+
23444351343 = 3371812932339
BaseRepresentation
bin10101110101011001…
…000110100101101111
32020111212200110001000
4111311121012211233
5341003223220333
614434205451343
71456654461360
oct256531064557
966455613030
1023444351343
119a407a8186
124663570b53
13229815ba5a
1411c5919b67
15923334713
hex57564696f

23444351343 has 64 divisors (see below), whose sum is σ = 40066790400. Its totient is φ = 13271610240.

The previous prime is 23444351321. The next prime is 23444351363. The reversal of 23444351343 is 34315344432.

It is a happy number.

23444351343 is a `hidden beast` number, since 23 + 44 + 43 + 513 + 43 = 666.

It is not a de Polignac number, because 23444351343 - 213 = 23444343151 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 23444351298 and 23444351307.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23444351363) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 10022068 + ... + 10024406.

It is an arithmetic number, because the mean of its divisors is an integer number (626043600).

Almost surely, 223444351343 is an apocalyptic number.

23444351343 is a deficient number, since it is larger than the sum of its proper divisors (16622439057).

23444351343 is a wasteful number, since it uses less digits than its factorization.

23444351343 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2829 (or 2823 counting only the distinct ones).

The product of its digits is 207360, while the sum is 36.

Adding to 23444351343 its reverse (34315344432), we get a palindrome (57759695775).

The spelling of 23444351343 in words is "twenty-three billion, four hundred forty-four million, three hundred fifty-one thousand, three hundred forty-three".

Divisors: 1 3 7 9 21 27 63 181 189 293 543 879 1267 1629 2051 2339 2637 3801 4887 6153 7017 7911 11403 16373 18459 21051 34209 49119 53033 55377 63153 147357 159099 371231 423359 442071 477297 685327 1113693 1270077 1431891 2055981 2963513 3341079 3810231 4797289 6167943 8890539 10023237 11430693 14391867 18503829 26671617 43175601 80014851 124044187 129526803 372132561 868309309 1116397683 2604927927 3349193049 7814783781 23444351343