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349944449943 = 31139472686693
BaseRepresentation
bin1010001011110100101…
…00001000101110010111
31020110021020012222000110
411011322110020232113
521213141234344233
6424432352014103
734165643513514
oct5057224105627
91213236188013
10349944449943
11125457578810
12579a3831333
1326ccc21bc7a
1412d1a33230b
15918222e663
hex517a508b97

349944449943 has 16 divisors (see below), whose sum is σ = 509139259776. Its totient is φ = 212033732640.

The previous prime is 349944449941. The next prime is 349944449947.

349944449943 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 349944449943 - 21 = 349944449941 is a prime.

It is a super-2 number, since 2×3499444499432 (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (349944449941) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1213096 + ... + 1473597.

It is an arithmetic number, because the mean of its divisors is an integer number (31821203736).

Almost surely, 2349944449943 is an apocalyptic number.

349944449943 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

349944449943 is a deficient number, since it is larger than the sum of its proper divisors (159194809833).

349944449943 is a wasteful number, since it uses less digits than its factorization.

349944449943 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2690654.

The product of its digits is 241864704, while the sum is 66.

The spelling of 349944449943 in words is "three hundred forty-nine billion, nine hundred forty-four million, four hundred forty-nine thousand, nine hundred forty-three".

Divisors: 1 3 11 33 3947 11841 43417 130251 2686693 8060079 29553623 88660869 10604377271 31813131813 116648149981 349944449943