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4200440344340 = 2251271653716671
BaseRepresentation
bin111101000111111101110…
…000010010111100010100
3112212120001220120012022012
4331013331300102330110
51022310000212004330
612533353342123352
7612320553552632
oct75077560227424
915776056505265
104200440344340
11137a440084009
1257a0a6b80558
1324613b413696
14107433ac8352
15743e2e11c95
hex3d1fdc12f14

4200440344340 has 24 divisors (see below), whose sum is σ = 8890380828672. Its totient is φ = 1666946403360.

The previous prime is 4200440344301. The next prime is 4200440344367. The reversal of 4200440344340 is 434430440024.

It is a super-3 number, since 3×42004403443403 (a number of 39 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 4200440344297 and 4200440344306.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 826855796 + ... + 826860875.

It is an arithmetic number, because the mean of its divisors is an integer number (370432534528).

Almost surely, 24200440344340 is an apocalyptic number.

It is an amenable number.

4200440344340 is an abundant number, since it is smaller than the sum of its proper divisors (4689940484332).

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

4200440344340 is a wasteful number, since it uses less digits than its factorization.

4200440344340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1653716807 (or 1653716805 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 32.

Adding to 4200440344340 its reverse (434430440024), we get a palindrome (4634870784364).

The spelling of 4200440344340 in words is "four trillion, two hundred billion, four hundred forty million, three hundred forty-four thousand, three hundred forty".

Divisors: 1 2 4 5 10 20 127 254 508 635 1270 2540 1653716671 3307433342 6614866684 8268583355 16537166710 33074333420 210022017217 420044034434 840088068868 1050110086085 2100220172170 4200440344340