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34484299248443 = 115328328347513
BaseRepresentation
bin1111101011101000000000…
…11010000011001100111011
311112002200000002212100112212
413311310000122003030323
514004442321101422233
6201201511322525335
710156260040161062
oct765640032031473
9145080002770485
1034484299248443
11aa95788a16090
123a4b35606684b
131631b175c61c5
148730985d71d9
153ec0382d2a48
hex1f5d0068333b

34484299248443 has 48 divisors (see below), whose sum is σ = 38942319314304. Its totient is φ = 30279275969280.

The previous prime is 34484299248389. The next prime is 34484299248449.

34484299248443 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 34484299248443 - 212 = 34484299244347 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (34484299248449) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 725762855 + ... + 725810367.

It is an arithmetic number, because the mean of its divisors is an integer number (811298319048).

Almost surely, 234484299248443 is an apocalyptic number.

34484299248443 is a deficient number, since it is larger than the sum of its proper divisors (4458020065861).

34484299248443 is a wasteful number, since it uses less digits than its factorization.

34484299248443 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47996 (or 47943 counting only the distinct ones).

The product of its digits is 764411904, while the sum is 68.

The spelling of 34484299248443 in words is "thirty-four trillion, four hundred eighty-four billion, two hundred ninety-nine million, two hundred forty-eight thousand, four hundred forty-three".

Divisors: 1 11 53 83 283 583 913 2809 3113 4399 14999 23489 30899 47513 48389 164989 233147 258379 522643 794947 1244917 2518189 2564617 3943579 8744417 13446179 13694087 27700079 43379369 65980601 133464017 147907969 209009687 712647487 725786611 1116032857 1468104187 2299106557 7839122357 11077513411 12276361427 37770316811 59149741421 121852647521 415473484921 650647155631 3134936295313 34484299248443