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34044401441 = 235327928139
BaseRepresentation
bin11111101101001101…
…000101011100100001
310020212121112210011002
4133231031011130201
51024210331321231
623350105401345
72313436431461
oct375515053441
9106777483132
1034044401441
11134901a4766
126721499255
13329726184b
14190d639ba1
15d43c200cb
hex7ed345721

34044401441 has 8 divisors (see below), whose sum is σ = 36194869440. Its totient is φ = 31949789872.

The previous prime is 34044401387. The next prime is 34044401477. The reversal of 34044401441 is 14410444043.

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

It is not a de Polignac number, because 34044401441 - 222 = 34040207137 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (34044401141) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 13962851 + ... + 13965288.

It is an arithmetic number, because the mean of its divisors is an integer number (4524358680).

Almost surely, 234044401441 is an apocalyptic number.

It is an amenable number.

34044401441 is a deficient number, since it is larger than the sum of its proper divisors (2150467999).

34044401441 is a wasteful number, since it uses less digits than its factorization.

34044401441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27928215.

The product of its (nonzero) digits is 12288, while the sum is 29.

Adding to 34044401441 its reverse (14410444043), we get a palindrome (48454845484).

The spelling of 34044401441 in words is "thirty-four billion, forty-four million, four hundred one thousand, four hundred forty-one".

Divisors: 1 23 53 1219 27928139 642347197 1480191367 34044401441