Search a number
-
+
34343305444431 = 3217987724307873
BaseRepresentation
bin1111100111100001011001…
…00001010111110001001111
311111121012002000010222222200
413303300230201113301033
514000140042143210211
6201013032520212543
710143136060465014
oct763605441276117
9144535060128880
1034343305444431
11aa40a06660315
123a27b6760a153
131621737b862c9
1486a320dd170b
153e8535205b56
hex1f3c2c857c4f

34343305444431 has 24 divisors (see below), whose sum is σ = 49941013290480. Its totient is φ = 22741667191296.

The previous prime is 34343305444403. The next prime is 34343305444471. The reversal of 34343305444431 is 13444450334343.

It is a happy number.

34343305444431 is a `hidden beast` number, since 3 + 4 + 3 + 4 + 3 + 30 + 544 + 44 + 31 = 666.

It is not a de Polignac number, because 34343305444431 - 26 = 34343305444367 is a prime.

It is a super-2 number, since 2×343433054444312 (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34343305444471) 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, 10741090 + ... + 13566783.

It is an arithmetic number, because the mean of its divisors is an integer number (2080875553770).

Almost surely, 234343305444431 is an apocalyptic number.

34343305444431 is a deficient number, since it is larger than the sum of its proper divisors (15597707846049).

34343305444431 is a wasteful number, since it uses less digits than its factorization.

34343305444431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24308935 (or 24308932 counting only the distinct ones).

The product of its (nonzero) digits is 4976640, while the sum is 45.

Adding to 34343305444431 its reverse (13444450334343), we get a palindrome (47787755778774).

The spelling of 34343305444431 in words is "thirty-four trillion, three hundred forty-three billion, three hundred five million, four hundred forty-four thousand, four hundred thirty-one".

Divisors: 1 3 9 179 537 877 1611 2631 7893 156983 470949 1412847 24307873 72923619 218770857 4351109267 13053327801 21318004621 39159983403 63954013863 191862041589 3815922827159 11447768481477 34343305444431