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4203444400441 = 1121315731753693
BaseRepresentation
bin111101001010110000110…
…011110111000100111001
3112212211211021020001120021
4331022300303313010321
51022332123231303231
612535011413330441
7612455161610656
oct75126063670471
915784737201507
104203444400441
111380741864900
1257a7a5036a21
132464c98b8180
1410763aa68c2d
157451ba07811
hex3d2b0cf7139

4203444400441 has 48 divisors (see below), whose sum is σ = 5023306087632. Its totient is φ = 3493777098240.

The previous prime is 4203444400427. The next prime is 4203444400451. The reversal of 4203444400441 is 1440044443024.

It can be written as a sum of positive squares in 8 ways, for example, as 1898619433216 + 2304824967225 = 1377904^2 + 1518165^2 .

It is not a de Polignac number, because 4203444400441 - 217 = 4203444269369 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 4203444400397 and 4203444400406.

It is not an unprimeable number, because it can be changed into a prime (4203444400451) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 78259791 + ... + 78313483.

It is an arithmetic number, because the mean of its divisors is an integer number (104652210159).

Almost surely, 24203444400441 is an apocalyptic number.

It is an amenable number.

4203444400441 is a deficient number, since it is larger than the sum of its proper divisors (819861687191).

4203444400441 is a wasteful number, since it uses less digits than its factorization.

4203444400441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54202 (or 54191 counting only the distinct ones).

The product of its (nonzero) digits is 98304, while the sum is 34.

Adding to 4203444400441 its reverse (1440044443024), we get a palindrome (5643488843465).

The spelling of 4203444400441 in words is "four trillion, two hundred three billion, four hundred forty-four million, four hundred thousand, four hundred forty-one".

Divisors: 1 11 13 121 143 157 317 1573 1727 2041 3487 4121 18997 22451 38357 45331 49769 53693 246961 498641 547459 590623 646997 698009 6022049 6496853 7116967 7678099 8429801 17020681 78286637 84459089 92727811 109587413 187227491 221268853 1020005921 1205461543 2059502401 2433957383 2672246917 13260076973 26773531213 29394716087 34739209921 323341876957 382131309131 4203444400441