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34743211234743 = 31110172277144223
BaseRepresentation
bin1111110011001010010001…
…10000111001010110110111
311120000102022010110000120210
413321211020300321112313
514023213044034002433
6201520451053200503
710214054106561144
oct771451060712667
9146012263400523
1034743211234743
1110085570a96570
123a91573190133
131650369b2a56b
1488181a86d3cb
15403b3d6e0463
hex1f9948c395b7

34743211234743 has 32 divisors (see below), whose sum is σ = 51036992243712. Its totient is φ = 20847578544000.

The previous prime is 34743211234741. The next prime is 34743211234777.

It is a happy number.

34743211234743 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 34743211234743 - 21 = 34743211234741 is a prime.

It is a Smith number, since the sum of its digits (48) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a junction number, because it is equal to n+sod(n) for n = 34743211234692 and 34743211234701.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34743211234741) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 240827130 + ... + 240971352.

It is an arithmetic number, because the mean of its divisors is an integer number (1594906007616).

Almost surely, 234743211234743 is an apocalyptic number.

34743211234743 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

34743211234743 is a deficient number, since it is larger than the sum of its proper divisors (16293781008969).

34743211234743 is a wasteful number, since it uses less digits than its factorization.

34743211234743 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 216615.

The product of its digits is 4064256, while the sum is 48.

The spelling of 34743211234743 in words is "thirty-four trillion, seven hundred forty-three billion, two hundred eleven million, two hundred thirty-four thousand, seven hundred forty-three".

Divisors: 1 3 11 33 101 303 1111 3333 72277 144223 216831 432669 795047 1586453 2385141 4759359 7299977 14566523 21899931 43699569 80299747 160231753 240899241 480695259 10424005771 31272017313 114664063481 343992190443 1052824582871 3158473748613 11581070411581 34743211234743