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34022304202441 = 120130011943931
BaseRepresentation
bin1111011110001011011110…
…10110110011111011001001
311110110111111212200100012011
413233011233112303323021
513424410134333434231
6200205344125415521
710111013262112522
oct757055726637311
9143414455610164
1034022304202441
11a927861843085
123995900a0a5a1
1315ca39c0c94b9
1485898ca15849
153deee8e519b1
hex1ef16f5b3ec9

34022304202441 has 8 divisors (see below), whose sum is σ = 34051803195168. Its totient is φ = 33992807160000.

The previous prime is 34022304202361. The next prime is 34022304202499. The reversal of 34022304202441 is 14420240322043.

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

It is a cyclic number.

It is not a de Polignac number, because 34022304202441 - 221 = 34022302105289 is a prime.

It is a super-2 number, since 2×340223042024412 (a number of 28 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (34022304202241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 35571246 + ... + 36515176.

It is an arithmetic number, because the mean of its divisors is an integer number (4256475399396).

Almost surely, 234022304202441 is an apocalyptic number.

It is an amenable number.

34022304202441 is a deficient number, since it is larger than the sum of its proper divisors (29498992727).

34022304202441 is a wasteful number, since it uses less digits than its factorization.

34022304202441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 975143.

The product of its (nonzero) digits is 36864, while the sum is 31.

Adding to 34022304202441 its reverse (14420240322043), we get a palindrome (48442544524484).

The spelling of 34022304202441 in words is "thirty-four trillion, twenty-two billion, three hundred four million, two hundred two thousand, four hundred forty-one".

Divisors: 1 1201 30011 943931 36043211 1133661131 28328313241 34022304202441