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434442444033 = 31311139549847
BaseRepresentation
bin1100101001001101100…
…10011001110100000001
31112112101001002210221010
412110212302121310001
524104214231202113
6531325145151133
743246613562513
oct6244662316401
91475331083833
10434442444033
11158278485384
1270245a8b4a9
1331c771a7540
1417054613bb3
15b47a5421c3
hex6526c99d01

434442444033 has 8 divisors (see below), whose sum is σ = 623814791488. Its totient is φ = 267349196304.

The previous prime is 434442444001. The next prime is 434442444041. The reversal of 434442444033 is 330444244434.

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

It is not a de Polignac number, because 434442444033 - 25 = 434442444001 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (39), and also a Moran number because the ratio is a prime number: 11139549847 = 434442444033 / (4 + 3 + 4 + 4 + 4 + 2 + 4 + 4 + 4 + 0 + 3 + 3).

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 434442443982 and 434442444000.

It is not an unprimeable number, because it can be changed into a prime (434442444053) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5569774885 + ... + 5569774962.

It is an arithmetic number, because the mean of its divisors is an integer number (77976848936).

Almost surely, 2434442444033 is an apocalyptic number.

It is an amenable number.

434442444033 is a deficient number, since it is larger than the sum of its proper divisors (189372347455).

434442444033 is a wasteful number, since it uses less digits than its factorization.

434442444033 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11139549863.

The product of its (nonzero) digits is 884736, while the sum is 39.

Adding to 434442444033 its reverse (330444244434), we get a palindrome (764886688467).

It can be divided in two parts, 434442 and 444033, that added together give a triangular number (878475 = T1325).

The spelling of 434442444033 in words is "four hundred thirty-four billion, four hundred forty-two million, four hundred forty-four thousand, thirty-three".

Divisors: 1 3 13 39 11139549847 33418649541 144814148011 434442444033