Search a number
-
+
34410833801443 = 11269106367109331
BaseRepresentation
bin1111101001011111001011…
…00001100111000011100011
311111211122101011122222002101
413310233211201213003203
514002241341423121233
6201104041355231231
710151046353162311
oct764574541470343
9144748334588071
1034410833801443
11aa67609657430
123a39072748517
131627c0a21c6c8
1486d6c96590b1
153ea18883cc7d
hex1f4be58670e3

34410833801443 has 16 divisors (see below), whose sum is σ = 37679340810240. Its totient is φ = 31165706010400.

The previous prime is 34410833801429. The next prime is 34410833801447.

It is a happy number.

34410833801443 is nontrivially palindromic in base 10.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-34410833801443 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 34410833801393 and 34410833801402.

It is not an unprimeable number, because it can be changed into a prime (34410833801447) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 314685288 + ... + 314794618.

It is an arithmetic number, because the mean of its divisors is an integer number (2354958800640).

Almost surely, 234410833801443 is an apocalyptic number.

34410833801443 is a deficient number, since it is larger than the sum of its proper divisors (3268507008797).

34410833801443 is a wasteful number, since it uses less digits than its factorization.

34410833801443 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 215978.

The product of its (nonzero) digits is 1327104, while the sum is 46.

The spelling of 34410833801443 in words is "thirty-four trillion, four hundred ten billion, eight hundred thirty-three million, eight hundred one thousand, four hundred forty-three".

Divisors: 1 11 269 2959 106367 109331 1170037 1202641 28612723 29410039 314739953 323510429 11629210477 127921315247 3128257618313 34410833801443