Search a number
-
+
13332430443204 = 22322292815755261
BaseRepresentation
bin1100001000000011001011…
…0001111101001011000100
31202012120100000000202200200
43002000302301331023010
53221414304143140304
644204500050410500
72544144024632115
oct302006261751304
952176300022620
1013332430443204
114280285455a74
1215b3ab7b90a30
13759320566692
143414162b820c
15181c1900ae39
hexc2032c7d2c4

13332430443204 has 72 divisors (see below), whose sum is σ = 33969052692120. Its totient is φ = 4408989580800.

The previous prime is 13332430443203. The next prime is 13332430443209. The reversal of 13332430443204 is 40234403423331.

13332430443204 is a `hidden beast` number, since 1 + 3 + 3 + 3 + 2 + 4 + 3 + 0 + 443 + 204 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 10266961724100 + 3065468719104 = 3204210^2 + 1750848^2 .

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 (13332430443203) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 561067 + ... + 5194194.

Almost surely, 213332430443204 is an apocalyptic number.

It is an amenable number.

13332430443204 is an abundant number, since it is smaller than the sum of its proper divisors (20636622248916).

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

13332430443204 is a wasteful number, since it uses less digits than its factorization.

13332430443204 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5755781 (or 5755776 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 36.

Adding to 13332430443204 its reverse (40234403423331), we get a palindrome (53566833866535).

The spelling of 13332430443204 in words is "thirteen trillion, three hundred thirty-two billion, four hundred thirty million, four hundred forty-three thousand, two hundred four".

Divisors: 1 2 3 4 6 9 12 18 36 229 281 458 562 687 843 916 1124 1374 1686 2061 2529 2748 3372 4122 5058 8244 10116 64349 128698 193047 257396 386094 579141 772188 1158282 2316564 5755261 11510522 17265783 23021044 34531566 51797349 69063132 103594698 207189396 1317954769 1617228341 2635909538 3234456682 3953864307 4851685023 5271819076 6468913364 7907728614 9703370046 11861592921 14555055069 15815457228 19406740092 23723185842 29110110138 47446371684 58220220276 370345290089 740690580178 1111035870267 1481381160356 2222071740534 3333107610801 4444143481068 6666215221602 13332430443204