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4342306743376 = 247793171548161
BaseRepresentation
bin111111001100000101101…
…001101010010001010000
3120101010020211012222012121
4333030011221222101100
51032121021011242001
613122454515304024
7625502260214560
oct77140551522120
916333224188177
104342306743376
11142461aa53398
125a16998ab014
132566298731b4
14110251154da0
1577e479056a1
hex3f305a6a450

4342306743376 has 80 divisors (see below), whose sum is σ = 9767539837440. Its totient is φ = 1831634288640.

The previous prime is 4342306743353. The next prime is 4342306743407. The reversal of 4342306743376 is 6733476032434.

It is a congruent number.

It is an unprimeable number.

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, 2030736 + ... + 3578896.

It is an arithmetic number, because the mean of its divisors is an integer number (122094247968).

Almost surely, 24342306743376 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4342306743376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4883769918720).

4342306743376 is an abundant number, since it is smaller than the sum of its proper divisors (5425233094064).

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

4342306743376 is a wasteful number, since it uses less digits than its factorization.

4342306743376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1548572 (or 1548566 counting only the distinct ones).

The product of its (nonzero) digits is 18289152, while the sum is 52.

The spelling of 4342306743376 in words is "four trillion, three hundred forty-two billion, three hundred six million, seven hundred forty-three thousand, three hundred seventy-six".

Divisors: 1 2 4 7 8 14 16 28 56 79 112 158 316 317 553 632 634 1106 1264 1268 2212 2219 2536 4424 4438 5072 8848 8876 17752 25043 35504 50086 100172 175301 200344 350602 400688 701204 1402408 1548161 2804816 3096322 6192644 10837127 12385288 21674254 24770576 43348508 86697016 122304719 173394032 244609438 489218876 490767037 856133033 978437752 981534074 1712266066 1956875504 1963068148 3424532132 3435369259 3926136296 6849064264 6870738518 7852272592 13698128528 13741477036 27482954072 38770595923 54965908144 77541191846 155082383692 271394171461 310164767384 542788342922 620329534768 1085576685844 2171153371688 4342306743376