Search a number
-
+
444023200140 = 223513569260513
BaseRepresentation
bin1100111011000011101…
…10000101100110001100
31120110002201222122112220
412131201312011212030
524233324414401030
6535551554055340
744036210633202
oct6354166054614
91513081878486
10444023200140
11161344580233
127207a57a550
1332b430761b0
14176c2c03072
15b83b6d9a10
hex6761d8598c

444023200140 has 48 divisors (see below), whose sum is σ = 1338900728928. Its totient is φ = 109298018304.

The previous prime is 444023200133. The next prime is 444023200171. The reversal of 444023200140 is 41002320444.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 444023200140.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 284629477 + ... + 284631036.

It is an arithmetic number, because the mean of its divisors is an integer number (27893765186).

Almost surely, 2444023200140 is an apocalyptic number.

It is an amenable number.

444023200140 is an abundant number, since it is smaller than the sum of its proper divisors (894877528788).

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

444023200140 is a wasteful number, since it uses less digits than its factorization.

444023200140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 569260538 (or 569260536 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

Adding to 444023200140 its reverse (41002320444), we get a palindrome (485025520584).

The spelling of 444023200140 in words is "four hundred forty-four billion, twenty-three million, two hundred thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 26 30 39 52 60 65 78 130 156 195 260 390 780 569260513 1138521026 1707781539 2277042052 2846302565 3415563078 5692605130 6831126156 7400386669 8538907695 11385210260 14800773338 17077815390 22201160007 29601546676 34155630780 37001933345 44402320014 74003866690 88804640028 111005800035 148007733380 222011600070 444023200140