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8344011310344 = 2332412826562097
BaseRepresentation
bin111100101101011110111…
…0101001000010100001000
31002112200100111100122102200
41321122331311020110020
52043202013343412334
625425104052200200
71520556243624003
oct171327565102410
932480314318380
108344011310344
112727747947396
12b29160609060
13486ab5856b28
1420bbd0a0853a
15e70a8367799
hex796bdd48508

8344011310344 has 48 divisors (see below), whose sum is σ = 23149543582620. Its totient is φ = 2713499612160.

The previous prime is 8344011310273. The next prime is 8344011310357. The reversal of 8344011310344 is 4430131104438.

8344011310344 is a `hidden beast` number, since 83 + 4 + 401 + 131 + 0 + 3 + 44 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 8336097072900 + 7914237444 = 2887230^2 + 88962^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 8344011310299 and 8344011310308.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1413278097 + ... + 1413284000.

Almost surely, 28344011310344 is an apocalyptic number.

It is an amenable number.

8344011310344 is an abundant number, since it is smaller than the sum of its proper divisors (14805532272276).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

8344011310344 is a wasteful number, since it uses less digits than its factorization.

8344011310344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2826562150 (or 2826562143 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The spelling of 8344011310344 in words is "eight trillion, three hundred forty-four billion, eleven million, three hundred ten thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 41 72 82 123 164 246 328 369 492 738 984 1476 2952 2826562097 5653124194 8479686291 11306248388 16959372582 22612496776 25439058873 33918745164 50878117746 67837490328 101756235492 115889045977 203512470984 231778091954 347667137931 463556183908 695334275862 927112367816 1043001413793 1390668551724 2086002827586 2781337103448 4172005655172 8344011310344