Search a number
-
+
12443402440131 = 31323411572155079
BaseRepresentation
bin1011010100010011010010…
…0101010000110111000011
31122001120121002222212200220
42311010310211100313003
53112333042011041011
642244230431114123
72423002053403605
oct265046445206703
948046532885626
1012443402440131
113a68243307933
12148b746372943
136c353bc7bb60
1431039a193175
15168a34d8b506
hexb5134950dc3

12443402440131 has 64 divisors (see below), whose sum is σ = 19220693022720. Its totient is φ = 7100378588160.

The previous prime is 12443402440121. The next prime is 12443402440181. The reversal of 12443402440131 is 13104420434421.

It is a happy number.

It is not a de Polignac number, because 12443402440131 - 25 = 12443402440099 is a prime.

It is a super-2 number, since 2×124434024401312 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 12443402440092 and 12443402440101.

It is not an unprimeable number, because it can be changed into a prime (12443402440121) 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, 4696450 + ... + 6851528.

It is an arithmetic number, because the mean of its divisors is an integer number (300323328480).

Almost surely, 212443402440131 is an apocalyptic number.

12443402440131 is a deficient number, since it is larger than the sum of its proper divisors (6777290582589).

12443402440131 is a wasteful number, since it uses less digits than its factorization.

12443402440131 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2155316.

The product of its (nonzero) digits is 36864, while the sum is 33.

Adding to 12443402440131 its reverse (13104420434421), we get a palindrome (25547822874552).

The spelling of 12443402440131 in words is "twelve trillion, four hundred forty-three billion, four hundred two million, four hundred forty thousand, one hundred thirty-one".

Divisors: 1 3 13 23 39 41 69 123 157 299 471 533 897 943 1599 2041 2829 3611 6123 6437 10833 12259 19311 36777 46943 83681 140829 148051 251043 444153 1924663 2155079 5773989 6465237 28016027 49566817 84048081 88358239 148700451 265074717 338347403 644368621 1015042209 1148657107 1933105863 2032239497 3445971321 4398516239 6096718491 7781990269 13195548717 13872243523 23345970807 26419113461 41616730569 79257340383 101165873497 180339165799 303497620491 319061601029 541017497397 957184803087 4147800813377 12443402440131