Search a number
-
+
3380381444141 = 132311305623559
BaseRepresentation
bin110001001100001110011…
…011110110100000101101
3102222011100121001202011222
4301030032123312200231
5420341010122203031
611104531545553125
7466140001120202
oct61141633664055
912864317052158
103380381444141
111093680220749
12467182aa57a5
131b69cb808bc0
14b987b707ca9
155cde8b1be7b
hex3130e6f682d

3380381444141 has 8 divisors (see below), whose sum is σ = 3798689516160. Its totient is φ = 2984684619312.

The previous prime is 3380381444137. The next prime is 3380381444171. The reversal of 3380381444141 is 1414441830833.

3380381444141 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 3380381444141 - 22 = 3380381444137 is a prime.

It is a super-2 number, since 2×33803814441412 (a number of 26 digits) contains 22 as substring.

It is a Duffinian number.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 3380381444092 and 3380381444101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3380381444171) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5652811481 + ... + 5652812078.

It is an arithmetic number, because the mean of its divisors is an integer number (474836189520).

Almost surely, 23380381444141 is an apocalyptic number.

It is an amenable number.

3380381444141 is a deficient number, since it is larger than the sum of its proper divisors (418308072019).

3380381444141 is a wasteful number, since it uses less digits than its factorization.

3380381444141 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11305623595.

The product of its (nonzero) digits is 442368, while the sum is 44.

The spelling of 3380381444141 in words is "three trillion, three hundred eighty billion, three hundred eighty-one million, four hundred forty-four thousand, one hundred forty-one".

Divisors: 1 13 23 299 11305623559 146973106267 260029341857 3380381444141