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44113442440212 = 223217111736451337
BaseRepresentation
bin10100000011110111101100…
…00100010000010000010100
312210012012111122120202211100
422001323312010100100110
521240223312231041322
6233453234035310100
712202043140635135
oct1201736604202024
9183165448522740
1044113442440212
111306845124a062
124b4559274b330
131b7cb58b25362
14ac715dc95c8c
1551775a10bdac
hex281ef6110414

44113442440212 has 72 divisors (see below), whose sum is σ = 118078916830056. Its totient is φ = 13838270552064.

The previous prime is 44113442440183. The next prime is 44113442440217. The reversal of 44113442440212 is 21204424431144.

44113442440212 is a `hidden beast` number, since 4 + 4 + 1 + 13 + 4 + 424 + 4 + 0 + 212 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 11438911565316 + 32674530874896 = 3382146^2 + 5716164^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (44113442440217) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3612208 + ... + 10063544.

It is an arithmetic number, because the mean of its divisors is an integer number (1639984955973).

Almost surely, 244113442440212 is an apocalyptic number.

It is an amenable number.

44113442440212 is an abundant number, since it is smaller than the sum of its proper divisors (73965474389844).

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

44113442440212 is a wasteful number, since it uses less digits than its factorization.

44113442440212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6462537 (or 6462532 counting only the distinct ones).

The product of its (nonzero) digits is 98304, while the sum is 36.

Adding to 44113442440212 its reverse (21204424431144), we get a palindrome (65317866871356).

The spelling of 44113442440212 in words is "forty-four trillion, one hundred thirteen billion, four hundred forty-two million, four hundred forty thousand, two hundred twelve".

Divisors: 1 2 3 4 6 9 12 17 18 34 36 51 68 102 153 204 306 612 11173 22346 33519 44692 67038 100557 134076 189941 201114 379882 402228 569823 759764 1139646 1709469 2279292 3418938 6451337 6837876 12902674 19354011 25805348 38708022 58062033 77416044 109672729 116124066 219345458 232248132 329018187 438690916 658036374 987054561 1316072748 1974109122 3948218244 72080788301 144161576602 216242364903 288323153204 432484729806 648727094709 864969459612 1225373401117 1297454189418 2450746802234 2594908378836 3676120203351 4901493604468 7352240406702 11028360610053 14704480813404 22056721220106 44113442440212