Search a number
-
+
3444121300113 = 3213216713559159
BaseRepresentation
bin110010000111100101101…
…000000110110010010001
3110012020212201211220212100
4302013211220012302101
5422412030023100423
611154112452151013
7503554352010114
oct62074550066221
913166781756770
103444121300113
11110870975a96a
124775b1308469
131bca19002b00
14bc9a6b5457b
155e8c985a343
hex321e5a06c91

3444121300113 has 36 divisors (see below), whose sum is σ = 5419216595520. Its totient is φ = 2106767733408.

The previous prime is 3444121300097. The next prime is 3444121300117. The reversal of 3444121300113 is 3110031214443.

3444121300113 is a `hidden beast` number, since 3 + 4 + 4 + 412 + 130 + 0 + 113 = 666.

It is not a de Polignac number, because 3444121300113 - 24 = 3444121300097 is a prime.

It is a super-2 number, since 2×34441213001132 (a number of 26 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (3444121300117) 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, 6525573 + ... + 7033586.

It is an arithmetic number, because the mean of its divisors is an integer number (150533794320).

Almost surely, 23444121300113 is an apocalyptic number.

It is an amenable number.

3444121300113 is a deficient number, since it is larger than the sum of its proper divisors (1975095295407).

3444121300113 is a wasteful number, since it uses less digits than its factorization.

3444121300113 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13559358 (or 13559342 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

Adding to 3444121300113 its reverse (3110031214443), we get a palindrome (6554152514556).

The spelling of 3444121300113 in words is "three trillion, four hundred forty-four billion, one hundred twenty-one million, three hundred thousand, one hundred thirteen".

Divisors: 1 3 9 13 39 117 167 169 501 507 1503 1521 2171 6513 19539 28223 84669 254007 13559159 40677477 122032431 176269067 528807201 1586421603 2264379553 2291497871 6793138659 6874493613 20379415977 20623480839 29436934189 88310802567 264932407701 382680144457 1148040433371 3444121300113