Search a number
-
+
441389564260 = 2252312716994447
BaseRepresentation
bin1100110110001001101…
…11100100000101100100
31120012022012100002022021
412123010313210011210
524212431212024020
6534434354112524
743614021251401
oct6330467440544
91505265302267
10441389564260
111602129a1657
127166457b744
1332813557378
14175131272a8
15b7353b31aa
hex66c4de4164

441389564260 has 96 divisors (see below), whose sum is σ = 975627878400. Its totient is φ = 167413454208.

The previous prime is 441389564183. The next prime is 441389564267. The reversal of 441389564260 is 62465983144.

It is a junction number, because it is equal to n+sod(n) for n = 441389564198 and 441389564207.

It is not an unprimeable number, because it can be changed into a prime (441389564267) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 99253357 + ... + 99257803.

It is an arithmetic number, because the mean of its divisors is an integer number (10162790400).

Almost surely, 2441389564260 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 441389564260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (487813939200).

441389564260 is an abundant number, since it is smaller than the sum of its proper divisors (534238314140).

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

441389564260 is a wasteful number, since it uses less digits than its factorization.

441389564260 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6305 (or 6303 counting only the distinct ones).

The product of its (nonzero) digits is 4976640, while the sum is 52.

The spelling of 441389564260 in words is "four hundred forty-one billion, three hundred eighty-nine million, five hundred sixty-four thousand, two hundred sixty".

Divisors: 1 2 4 5 10 20 23 46 92 115 127 230 254 460 508 635 1270 1699 2540 2921 3398 4447 5842 6796 8495 8894 11684 14605 16990 17788 22235 29210 33980 39077 44470 58420 78154 88940 102281 156308 195385 204562 215773 390770 409124 431546 511405 564769 781540 863092 1022810 1078865 1129538 2045620 2157730 2259076 2823845 4315460 4962779 5647690 7555453 9925558 11295380 12989687 15110906 19851116 24813895 25979374 30221812 37777265 49627790 51958748 64948435 75554530 99255580 129896870 151109060 173775419 259793740 347550838 695101676 868877095 959542531 1737754190 1919085062 3475508380 3838170124 4797712655 9595425310 19190850620 22069478213 44138956426 88277912852 110347391065 220694782130 441389564260