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442240042244 = 2271113176497033
BaseRepresentation
bin1100110111101111000…
…11111000010100000100
31120021111110122211202212
412123313203320110010
524221201422322434
6535055014522552
743644056223140
oct6336743702404
91507443584685
10442240042244
11160609a7a320
1271861366458
133291a802090
1417594072220
15b784dab8ce
hex66f78f8504

442240042244 has 96 divisors (see below), whose sum is σ = 1100233725696. Its totient is φ = 149691617280.

The previous prime is 442240042207. The next prime is 442240042253.

442240042244 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 442240042244.

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, 3180449 + ... + 3316584.

It is an arithmetic number, because the mean of its divisors is an integer number (11460767976).

Almost surely, 2442240042244 is an apocalyptic number.

442240042244 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

442240042244 is an abundant number, since it is smaller than the sum of its proper divisors (657993683452).

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

442240042244 is a wasteful number, since it uses less digits than its factorization.

442240042244 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6497085 (or 6497083 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, 4422400 and 42244, that added together give a palindrome (4464644).

The spelling of 442240042244 in words is "four hundred forty-two billion, two hundred forty million, forty-two thousand, two hundred forty-four".

Divisors: 1 2 4 7 11 13 14 17 22 26 28 34 44 52 68 77 91 119 143 154 182 187 221 238 286 308 364 374 442 476 572 748 884 1001 1309 1547 2002 2431 2618 3094 4004 4862 5236 6188 9724 17017 34034 68068 6497033 12994066 25988132 45479231 71467363 84461429 90958462 110449561 142934726 168922858 181916924 220899122 285869452 337845716 441798244 500271541 591230003 773146927 929075719 1000543082 1182460006 1214945171 1435844293 1546293854 1858151438 2001086164 2364920012 2429890342 2871688586 3092587708 3716302876 4859780684 5743377172 6503530033 8504616197 10050910051 13007060066 15794287223 17009232394 20101820102 26014120132 31588574446 34018464788 40203640204 63177148892 110560010561 221120021122 442240042244