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445333342212 = 22321137101300931
BaseRepresentation
bin1100111101011111110…
…11111000100000000100
31120120111001020202121100
412132233323320200010
524244020313422322
6540325555020100
744113526644323
oct6365773704004
91516431222540
10445333342212
11161957075380
127238529a630
1332cc16225a5
14177a8c040ba
15b8b672edac
hex67afef8804

445333342212 has 144 divisors (see below), whose sum is σ = 1273722375744. Its totient is φ = 130001760000.

The previous prime is 445333342159. The next prime is 445333342243. The reversal of 445333342212 is 212243333544.

445333342212 is a `hidden beast` number, since 44 + 533 + 33 + 42 + 2 + 12 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1329387 + ... + 1630317.

It is an arithmetic number, because the mean of its divisors is an integer number (8845294276).

Almost surely, 2445333342212 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 445333342212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (636861187872).

445333342212 is an abundant number, since it is smaller than the sum of its proper divisors (828389033532).

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

445333342212 is a wasteful number, since it uses less digits than its factorization.

445333342212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 301090 (or 301085 counting only the distinct ones).

The product of its digits is 207360, while the sum is 36.

Adding to 445333342212 its reverse (212243333544), we get a palindrome (657576675756).

The spelling of 445333342212 in words is "four hundred forty-five billion, three hundred thirty-three million, three hundred forty-two thousand, two hundred twelve".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 37 44 66 74 99 101 111 132 148 198 202 222 303 333 396 404 407 444 606 666 814 909 1111 1212 1221 1332 1628 1818 2222 2442 3333 3636 3663 3737 4444 4884 6666 7326 7474 9999 11211 13332 14652 14948 19998 22422 33633 39996 41107 44844 67266 82214 123321 134532 164428 246642 300931 369963 493284 601862 739926 902793 1203724 1479852 1805586 2708379 3310241 3611172 5416758 6620482 9930723 10833516 11134447 13240964 19861446 22268894 29792169 30394031 33403341 39722892 44537788 59584338 60788062 66806682 91182093 100210023 119168676 121576124 122478917 133613364 182364186 200420046 244957834 273546279 334334341 364728372 367436751 400840092 489915668 547092558 668668682 734873502 1003003023 1094185116 1102310253 1124579147 1337337364 1469747004 2006006046 2204620506 2249158294 3009009069 3373737441 4012012092 4409241012 4498316588 6018018138 6747474882 10121212323 12036036276 12370370617 13494949764 20242424646 24740741234 37111111851 40484849292 49481482468 74222223702 111333335553 148444447404 222666671106 445333342212