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442444211010 = 2355919919793
BaseRepresentation
bin1100111000000111011…
…10101110001101000010
31120022000200211200200000
412130003232232031002
524222111204223020
6535131150540430
743652115512304
oct6340356561502
91508020750600
10442444211010
1116070424a33a
12718b9807716
1332950bb89b9
14175b321b974
15b797c8b090
hex6703bae342

442444211010 has 96 divisors (see below), whose sum is σ = 1193150649600. Its totient is φ = 117966336768.

The previous prime is 442444211009. The next prime is 442444211023. The reversal of 442444211010 is 10112444244.

It is a happy number.

442444211010 is a `hidden beast` number, since 4 + 4 + 2 + 444 + 211 + 0 + 1 + 0 = 666.

It is a super-2 number, since 2×4424442110102 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 22343674 + ... + 22363466.

It is an arithmetic number, because the mean of its divisors is an integer number (12428652600).

Almost surely, 2442444211010 is an apocalyptic number.

442444211010 is an abundant number, since it is smaller than the sum of its proper divisors (750706438590).

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

442444211010 is a wasteful number, since it uses less digits than its factorization.

442444211010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29014 (or 29002 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 27.

Adding to 442444211010 its reverse (10112444244), we get a palindrome (452556655254).

The spelling of 442444211010 in words is "four hundred forty-two billion, four hundred forty-four million, two hundred eleven thousand, ten".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 81 90 135 162 243 270 405 486 810 1215 2430 9199 18398 19793 27597 39586 45995 55194 59379 82791 91990 98965 118758 137985 165582 178137 197930 248373 275970 296895 356274 413955 496746 534411 593790 745119 827910 890685 1068822 1241865 1490238 1603233 1781370 2235357 2483730 2672055 3206466 3725595 4470714 4809699 5344110 7451190 8016165 9619398 11176785 16032330 22353570 24048495 48096990 182075807 364151614 546227421 910379035 1092454842 1638682263 1820758070 2731137105 3277364526 4916046789 5462274210 8193411315 9832093578 14748140367 16386822630 24580233945 29496280734 44244421101 49160467890 73740701835 88488842202 147481403670 221222105505 442444211010