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442224402204 = 223136167693607
BaseRepresentation
bin1100110111101101010…
…00001101111100011100
31120021110101020020200010
412123312220031330130
524221133421332304
6535053255403220
743643506253304
oct6336650157434
91507411206603
10442224402204
11160601167772
1271858083510
13329174b7310
1417591d60604
15b78381c789
hex66f6a0df1c

442224402204 has 96 divisors (see below), whose sum is σ = 1146306520576. Its totient is φ = 131840628480.

The previous prime is 442224402199. The next prime is 442224402211. The reversal of 442224402204 is 402204422244.

It is a happy number.

It is a congruent number.

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, 290769 + ... + 984375.

Almost surely, 2442224402204 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 442224402204, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (573153260288).

442224402204 is an abundant number, since it is smaller than the sum of its proper divisors (704082118372).

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

442224402204 is a wasteful number, since it uses less digits than its factorization.

442224402204 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 693755 (or 693753 counting only the distinct ones).

The product of its (nonzero) digits is 32768, while the sum is 30.

Adding to 442224402204 its reverse (402204422244), we get a palindrome (844428824448).

The spelling of 442224402204 in words is "four hundred forty-two billion, two hundred twenty-four million, four hundred two thousand, two hundred four".

Divisors: 1 2 3 4 6 12 13 26 39 52 61 67 78 122 134 156 183 201 244 268 366 402 732 793 804 871 1586 1742 2379 2613 3172 3484 4087 4758 5226 8174 9516 10452 12261 16348 24522 49044 53131 106262 159393 212524 318786 637572 693607 1387214 2080821 2774428 4161642 8323284 9016891 18033782 27050673 36067564 42310027 46471669 54101346 84620054 92943338 108202692 126930081 139415007 169240108 185886676 253860162 278830014 507720324 550030351 557660028 604131697 1100060702 1208263394 1650091053 1812395091 2200121404 2416526788 2834771809 3300182106 3624790182 5669543618 6600364212 7249580364 8504315427 11339087236 17008630854 34017261708 36852033517 73704067034 110556100551 147408134068 221112201102 442224402204