Search a number
-
+
44041230329856 = 211367227503937
BaseRepresentation
bin10100000001110001001011…
…11000111010100000000000
312202221022010001202111000120
422000320211320322200000
521233032414431023411
6233400132323220240
712163605513060144
oct1200704570724000
9182838101674016
1044041230329856
111303a865406811
124b3359ab17680
131b760bb2c9086
14ac386d56d224
155159306db106
hex280e25e3a800

44041230329856 has 384 divisors, whose sum is σ = 120057979991040. Its totient is φ = 14353634820096.

The previous prime is 44041230329843. The next prime is 44041230329909. The reversal of 44041230329856 is 65892303214044.

It is a tau number, because it is divible by the number of its divisors (384).

It is a junction number, because it is equal to n+sod(n) for n = 44041230329799 and 44041230329808.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 47002379820 + ... + 47002380756.

It is an arithmetic number, because the mean of its divisors is an integer number (312650989560).

Almost surely, 244041230329856 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 44041230329856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60028989995520).

44041230329856 is an abundant number, since it is smaller than the sum of its proper divisors (76016749661184).

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

44041230329856 is a wasteful number, since it uses less digits than its factorization.

44041230329856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1759 (or 1739 counting only the distinct ones).

The product of its (nonzero) digits is 4976640, while the sum is 51.

The spelling of 44041230329856 in words is "forty-four trillion, forty-one billion, two hundred thirty million, three hundred twenty-nine thousand, eight hundred fifty-six".