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442107391824 = 243271923084137
BaseRepresentation
bin1100110111011111010…
…01110110111101010000
31120021011020001111121100
412123233221312331100
524220413443014244
6535033515424400
743640555553210
oct6335751667520
91507136044540
10442107391824
1116055110807a
1271824a55100
13328c91990c7
14175805c2240
15b778407b69
hex66efa76f50

442107391824 has 120 divisors (see below), whose sum is σ = 1488465218240. Its totient is φ = 119668161024.

The previous prime is 442107391823. The next prime is 442107391849. The reversal of 442107391824 is 428193701244.

442107391824 is a `hidden beast` number, since 44 + 210 + 7 + 391 + 8 + 2 + 4 = 666.

It is a super-3 number, since 3×4421073918243 (a number of 36 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 442107391824.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (442107391823) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11522917 + ... + 11561220.

Almost surely, 2442107391824 is an apocalyptic number.

It is an amenable number.

442107391824 is an abundant number, since it is smaller than the sum of its proper divisors (1046357826416).

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

442107391824 is a wasteful number, since it uses less digits than its factorization.

442107391824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23084177 (or 23084168 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The spelling of 442107391824 in words is "four hundred forty-two billion, one hundred seven million, three hundred ninety-one thousand, eight hundred twenty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 19 21 24 28 36 38 42 48 56 57 63 72 76 84 112 114 126 133 144 152 168 171 228 252 266 304 336 342 399 456 504 532 684 798 912 1008 1064 1197 1368 1596 2128 2394 2736 3192 4788 6384 9576 19152 23084137 46168274 69252411 92336548 138504822 161588959 184673096 207757233 277009644 323177918 369346192 415514466 438598603 484766877 554019288 646355836 831028932 877197206 969533754 1108038576 1292711672 1315795809 1454300631 1662057864 1754394412 1939067508 2585423344 2631591618 2908601262 3070190221 3324115728 3508788824 3878135016 3947387427 5263183236 5817202524 6140380442 7017577648 7756270032 7894774854 9210570663 10526366472 11634405048 12280760884 15789549708 18421141326 21052732944 23268810096 24561521768 27631711989 31579099416 36842282652 49123043536 55263423978 63158198832 73684565304 110526847956 147369130608 221053695912 442107391824