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441444413214 = 23371167842363
BaseRepresentation
bin1100110110010000010…
…00110010111100011110
31120012110000112200221000
412123020020302330132
524213034232210324
6534444033451130
743615255413030
oct6331010627436
91505400480830
10441444413214
11160240954472
127167aa10aa6
1332821a1c87c
141751a523c50
15b73a0e99c9
hex66c8232f1e

441444413214 has 32 divisors (see below), whose sum is σ = 1121128669440. Its totient is φ = 126126975096.

The previous prime is 441444413213. The next prime is 441444413231. The reversal of 441444413214 is 412314444144.

441444413214 is a `hidden beast` number, since 44 + 144 + 441 + 32 + 1 + 4 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (441444413213) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 583920804 + ... + 583921559.

It is an arithmetic number, because the mean of its divisors is an integer number (35035270920).

Almost surely, 2441444413214 is an apocalyptic number.

441444413214 is an abundant number, since it is smaller than the sum of its proper divisors (679684256226).

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

441444413214 is a wasteful number, since it uses less digits than its factorization.

441444413214 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1167842381 (or 1167842375 counting only the distinct ones).

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

Adding to 441444413214 its reverse (412314444144), we get a palindrome (853758857358).

The spelling of 441444413214 in words is "four hundred forty-one billion, four hundred forty-four million, four hundred thirteen thousand, two hundred fourteen".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 54 63 126 189 378 1167842363 2335684726 3503527089 7007054178 8174896541 10510581267 16349793082 21021162534 24524689623 31531743801 49049379246 63063487602 73574068869 147148137738 220722206607 441444413214