Search a number
-
+
13432444330212 = 22354327473979
BaseRepresentation
bin1100001101110111110000…
…0100101010000011100100
31202120010111010210122100000
43003131330010222003210
53230034121222031322
644322440231221300
72554314330636405
oct303357404520344
952503433718300
1013432444330212
114309738706636
12160b36a517830
1376589bbc8c8b
143461c31119ac
1518461e58a3ac
hexc377c12a0e4

13432444330212 has 108 divisors (see below), whose sum is σ = 36049726068720. Its totient is φ = 4373353382832.

The previous prime is 13432444330211. The next prime is 13432444330229. The reversal of 13432444330212 is 21203344423431.

13432444330212 is a `hidden beast` number, since 1 + 3 + 4 + 3 + 2 + 4 + 4 + 433 + 0 + 212 = 666.

It is a tau number, because it is divible by the number of its divisors (108).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (13432444330211) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1939762 + ... + 5534217.

Almost surely, 213432444330212 is an apocalyptic number.

13432444330212 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

13432444330212 is an abundant number, since it is smaller than the sum of its proper divisors (22617281738508).

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

13432444330212 is an equidigital number, since it uses as much as digits as its factorization.

13432444330212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7474084 (or 7474027 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 36.

Adding to 13432444330212 its reverse (21203344423431), we get a palindrome (34635788753643).

The spelling of 13432444330212 in words is "thirteen trillion, four hundred thirty-two billion, four hundred forty-four million, three hundred thirty thousand, two hundred twelve".

Divisors: 1 2 3 4 6 9 12 18 27 36 43 54 81 86 108 129 162 172 243 258 324 387 486 516 774 972 1161 1548 1849 2322 3483 3698 4644 5547 6966 7396 10449 11094 13932 16641 20898 22188 33282 41796 49923 66564 99846 149769 199692 299538 449307 599076 898614 1797228 7473979 14947958 22421937 29895916 44843874 67265811 89687748 134531622 201797433 269063244 321381097 403594866 605392299 642762194 807189732 964143291 1210784598 1285524388 1816176897 1928286582 2421569196 2892429873 3632353794 3856573164 5784859746 7264707588 8677289619 11569719492 13819387171 17354579238 26031868857 27638774342 34709158476 41458161513 52063737714 55277548684 78095606571 82916323026 104127475428 124374484539 156191213142 165832646052 248748969078 312382426284 373123453617 497497938156 746246907234 1119370360851 1492493814468 2238740721702 3358111082553 4477481443404 6716222165106 13432444330212