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4340441126655 = 3351092731108007
BaseRepresentation
bin111111001010010110011…
…100111001011011111111
3120100221102210201211012000
4333022112130321123333
51032103210412023110
613121545432513343
7625405114561014
oct77122634713377
916327383654160
104340441126655
111423852951997
125a1258b4b853
132563c01ba78a
1411011547b70b
1577d88c3a1c0
hex3f2967396ff

4340441126655 has 64 divisors (see below), whose sum is σ = 7790055398400. Its totient is φ = 2292803210880.

The previous prime is 4340441126597. The next prime is 4340441126719. The reversal of 4340441126655 is 5566211440434.

4340441126655 is a `hidden beast` number, since 4 + 34 + 0 + 441 + 126 + 6 + 55 = 666.

It is not a de Polignac number, because 4340441126655 - 221 = 4340439029503 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 4340441126655.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 40132662 + ... + 40240668.

It is an arithmetic number, because the mean of its divisors is an integer number (121719615600).

Almost surely, 24340441126655 is an apocalyptic number.

4340441126655 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

4340441126655 is a deficient number, since it is larger than the sum of its proper divisors (3449614271745).

4340441126655 is a wasteful number, since it uses less digits than its factorization.

4340441126655 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 110861 (or 110855 counting only the distinct ones).

The product of its (nonzero) digits is 1382400, while the sum is 45.

The spelling of 4340441126655 in words is "four trillion, three hundred forty billion, four hundred forty-one million, one hundred twenty-six thousand, six hundred fifty-five".

Divisors: 1 3 5 9 15 27 45 109 135 327 545 981 1635 2731 2943 4905 8193 13655 14715 24579 40965 73737 108007 122895 297679 324021 368685 540035 893037 972063 1488395 1620105 2679111 2916189 4465185 4860315 8037333 11772763 13395555 14580945 35318289 40186665 58863815 105954867 176591445 294967117 317864601 529774335 884901351 1474835585 1589323005 2654704053 4424506755 7964112159 13273520265 32151415753 39820560795 96454247259 160757078765 289362741777 482271236295 868088225331 1446813708885 4340441126655