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34311141441 = 323812349049
BaseRepresentation
bin11111111101000110…
…100111100001000001
310021120012110120122100
4133331012213201001
51030232123011231
623432354501013
72323155614223
oct377506474101
9107505416570
1034311141441
1113607821445
126796894769
13330a5b5875
141936c32413
15d5c35e1e6
hex7fd1a7841

34311141441 has 6 divisors (see below), whose sum is σ = 49560537650. Its totient is φ = 22874094288.

The previous prime is 34311141419. The next prime is 34311141467. The reversal of 34311141441 is 14414111343.

It can be written as a sum of positive squares in only one way, i.e., 25721744400 + 8589397041 = 160380^2 + 92679^2 .

It is not a de Polignac number, because 34311141441 - 25 = 34311141409 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (34311142441) 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 5 ways as a sum of consecutive naturals, for example, 1906174516 + ... + 1906174533.

Almost surely, 234311141441 is an apocalyptic number.

It is an amenable number.

34311141441 is a deficient number, since it is larger than the sum of its proper divisors (15249396209).

34311141441 is a wasteful number, since it uses less digits than its factorization.

34311141441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3812349055 (or 3812349052 counting only the distinct ones).

The product of its digits is 2304, while the sum is 27.

Adding to 34311141441 its reverse (14414111343), we get a palindrome (48725252784).

The spelling of 34311141441 in words is "thirty-four billion, three hundred eleven million, one hundred forty-one thousand, four hundred forty-one".

Divisors: 1 3 9 3812349049 11437047147 34311141441