Search a number
-
+
4442020202444 = 2211310113676043
BaseRepresentation
bin100000010100011110100…
…0010010100011111001100
3120201122122000200112012012
41000220331002110133030
51040234224132434234
613240345205000352
7635632254511016
oct100507502243714
916648560615165
104442020202444
111462939668000
125b8a876b30b8
13262b5abb7c96
14114dd01071b6
157a8318de0ce
hex40a3d0947cc

4442020202444 has 96 divisors (see below), whose sum is σ = 8642708024832. Its totient is φ = 1997316024000.

The previous prime is 4442020202423. The next prime is 4442020202447.

4442020202444 is nontrivially palindromic in base 10.

It is a self number, because there is not a number n which added to its sum of digits gives 4442020202444.

It is not an unprimeable number, because it can be changed into a prime (4442020202447) 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, 735065687 + ... + 735071729.

It is an arithmetic number, because the mean of its divisors is an integer number (90028208592).

Almost surely, 24442020202444 is an apocalyptic number.

4442020202444 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

4442020202444 is a deficient number, since it is larger than the sum of its proper divisors (4200687822388).

4442020202444 is a wasteful number, since it uses less digits than its factorization.

4442020202444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7548 (or 7524 counting only the distinct ones).

The product of its (nonzero) digits is 65536, while the sum is 32.

It can be divided in two parts, 4442020 and 202444, that added together give a palindrome (4644464).

The spelling of 4442020202444 in words is "four trillion, four hundred forty-two billion, twenty million, two hundred two thousand, four hundred forty-four".

Divisors: 1 2 4 11 22 44 101 121 202 242 404 484 1111 1331 1367 2222 2662 2734 4444 5324 5468 6043 12086 12221 15037 24172 24442 30074 48884 60148 66473 132946 134431 138067 165407 265892 268862 276134 330814 537724 552268 610343 661628 731203 1220686 1462406 1518737 1819477 2441372 2924812 3037474 3638954 6074948 6713773 7277908 8043233 8260781 13427546 16086466 16521562 16706107 26855092 32172932 33043124 33412214 66824428 73851503 90868591 147703006 181737182 183767177 295406012 363474364 367534354 735068708 812366533 834338881 999554501 1624733066 1668677762 1999109002 3249466132 3337355524 3998218004 9177727691 10995099511 18355455382 21990199022 36710910764 43980398044 100955004601 201910009202 403820018404 1110505050611 2221010101222 4442020202444