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4100440122016 = 257103177723653
BaseRepresentation
bin111011101010110101010…
…001101110001010100000
3112111222221201111120002021
4323222311101232022200
51014140200132401031
612415414410231224
7602150504650150
oct73526521561240
915458851446067
104100440122016
111340a94606977
12562839125514
132398928569b4
14102668a0a760
15719ddb81511
hex3bab546e2a0

4100440122016 has 48 divisors (see below), whose sum is σ = 9315563048064. Its totient is φ = 1740270000384.

The previous prime is 4100440121971. The next prime is 4100440122029. The reversal of 4100440122016 is 6102210440014.

4100440122016 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 88838755 + ... + 88884898.

It is an arithmetic number, because the mean of its divisors is an integer number (194074230168).

Almost surely, 24100440122016 is an apocalyptic number.

It is an amenable number.

4100440122016 is an abundant number, since it is smaller than the sum of its proper divisors (5215122926048).

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

4100440122016 is a wasteful number, since it uses less digits than its factorization.

4100440122016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 177723773 (or 177723765 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 25.

The spelling of 4100440122016 in words is "four trillion, one hundred billion, four hundred forty million, one hundred twenty-two thousand, sixteen".

Divisors: 1 2 4 7 8 14 16 28 32 56 103 112 206 224 412 721 824 1442 1648 2884 3296 5768 11536 23072 177723653 355447306 710894612 1244065571 1421789224 2488131142 2843578448 4976262284 5687156896 9952524568 18305536259 19905049136 36611072518 39810098272 73222145036 128138753813 146444290072 256277507626 292888580144 512555015252 585777160288 1025110030504 2050220061008 4100440122016