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34444644443 = 1121731819091
BaseRepresentation
bin100000000101000011…
…111001000001011011
310021220111200020022222
4200011003321001123
51031020312110233
623453524134255
72326366434626
oct400503710133
9107814606288
1034444644443
1113676116200
12681353738b
13332c159921
14194a864dbd
15d68e30898
hex8050f905b

34444644443 has 24 divisors (see below), whose sum is σ = 38294085648. Its totient is φ = 30956904000.

The previous prime is 34444644433. The next prime is 34444644463.

34444644443 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 34444644443 - 26 = 34444644379 is a prime.

It is a Smith number, since the sum of its digits (44) coincides with the sum of the digits of its prime factors.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 34444644394 and 34444644403.

It is not an unprimeable number, because it can be changed into a prime (34444644433) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3784328 + ... + 3793418.

It is an arithmetic number, because the mean of its divisors is an integer number (1595586902).

Almost surely, 234444644443 is an apocalyptic number.

34444644443 is a deficient number, since it is larger than the sum of its proper divisors (3849441205).

34444644443 is a wasteful number, since it uses less digits than its factorization.

34444644443 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9467 (or 9456 counting only the distinct ones).

The product of its digits is 3538944, while the sum is 44.

The spelling of 34444644443 in words is "thirty-four billion, four hundred forty-four million, six hundred forty-four thousand, four hundred forty-three".

Divisors: 1 11 121 173 181 1903 1991 9091 20933 21901 31313 100001 344443 1100011 1572743 1645471 3788873 17300173 18100181 190301903 199101991 284666483 3131331313 34444644443