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34441440333441 = 3118739892424629
BaseRepresentation
bin1111101010011000001011…
…10100010000111010000001
311111221120101012020212221120
413311030011310100322001
514003242032211132231
6201130102415342453
710153211666334111
oct765140564207201
9144846335225846
1034441440333441
11aa795951aa979
123a42b94821a29
13162aa7715957b
14870d9046b041
153ead7a824d96
hex1f5305d10e81

34441440333441 has 16 divisors (see below), whose sum is σ = 45972148622400. Its totient is φ = 22935855852608.

The previous prime is 34441440333427. The next prime is 34441440333457. The reversal of 34441440333441 is 14433304414443.

It is a cyclic number.

It is not a de Polignac number, because 34441440333441 - 225 = 34441406779009 is a prime.

It is a super-3 number, since 3×344414403334413 (a number of 42 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 34441440333393 and 34441440333402.

It is not an unprimeable number, because it can be changed into a prime (34441440333401) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12992515 + ... + 15417143.

It is an arithmetic number, because the mean of its divisors is an integer number (2873259288900).

Almost surely, 234441440333441 is an apocalyptic number.

It is an amenable number.

34441440333441 is a deficient number, since it is larger than the sum of its proper divisors (11530708288959).

34441440333441 is a wasteful number, since it uses less digits than its factorization.

34441440333441 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2429808.

The product of its (nonzero) digits is 1327104, while the sum is 42.

Adding to 34441440333441 its reverse (14433304414443), we get a palindrome (48874744747884).

The spelling of 34441440333441 in words is "thirty-four trillion, four hundred forty-one billion, four hundred forty million, three hundred thirty-three thousand, four hundred forty-one".

Divisors: 1 3 1187 3561 3989 11967 2424629 4734943 7273887 14204829 2878034623 8634103869 9671845081 29015535243 11480480111147 34441440333441