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448444840844 = 2271113111999211
BaseRepresentation
bin1101000011010010110…
…01010011101110001100
31120212111220002021022102
412201221121103232030
524321403334401334
6542002425134232
744253611153030
oct6415131235614
91525456067272
10448444840844
11163203470350
1272ab332a378
1333399145340
14179c21521c0
15b9e999a67e
hex6869653b8c

448444840844 has 48 divisors (see below), whose sum is σ = 1053688586496. Its totient is φ = 161278862400.

The previous prime is 448444840843. The next prime is 448444840859. The reversal of 448444840844 is 448048444844.

It is a happy number.

It is a super-2 number, since 2×4484448408442 (a number of 24 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 448444840844.

It is not an unprimeable number, because it can be changed into a prime (448444840843) 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, 55995602 + ... + 56003609.

It is an arithmetic number, because the mean of its divisors is an integer number (21951845552).

Almost surely, 2448444840844 is an apocalyptic number.

448444840844 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

448444840844 is an abundant number, since it is smaller than the sum of its proper divisors (605243745652).

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

448444840844 is a wasteful number, since it uses less digits than its factorization.

448444840844 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111999246 (or 111999244 counting only the distinct ones).

The product of its (nonzero) digits is 33554432, while the sum is 56.

The spelling of 448444840844 in words is "four hundred forty-eight billion, four hundred forty-four million, eight hundred forty thousand, eight hundred forty-four".

Divisors: 1 2 4 7 11 13 14 22 26 28 44 52 77 91 143 154 182 286 308 364 572 1001 2002 4004 111999211 223998422 447996844 783994477 1231991321 1455989743 1567988954 2463982642 2911979486 3135977908 4927965284 5823958972 8623939247 10191928201 16015887173 17247878494 20383856402 32031774346 34495756988 40767712804 64063548692 112111210211 224222420422 448444840844