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448444440045 = 33571034607227
BaseRepresentation
bin1101000011010010101…
…11110001110111101101
31120212111212022220112000
412201221113301313231
524321403234040140
6542002412402513
744253604563360
oct6415127616755
91525455286460
10448444440045
11163203217208
1272ab3176439
1333399034a94
14179c208a0d7
15b9e991ba30
hex68695f1ded

448444440045 has 64 divisors (see below), whose sum is σ = 919971287040. Its totient is φ = 203012806464.

The previous prime is 448444440023. The next prime is 448444440071. The reversal of 448444440045 is 540044444844.

It is not a de Polignac number, because 448444440045 - 25 = 448444440013 is a prime.

It is a super-2 number, since 2×4484444400452 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2206279 + ... + 2400948.

It is an arithmetic number, because the mean of its divisors is an integer number (14374551360).

Almost surely, 2448444440045 is an apocalyptic number.

448444440045 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

448444440045 is an abundant number, since it is smaller than the sum of its proper divisors (471526846995).

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

448444440045 is a wasteful number, since it uses less digits than its factorization.

448444440045 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4607351 (or 4607345 counting only the distinct ones).

The product of its (nonzero) digits is 2621440, while the sum is 45.

Adding to 448444440045 its reverse (540044444844), we get a palindrome (988488884889).

The spelling of 448444440045 in words is "four hundred forty-eight billion, four hundred forty-four million, four hundred forty thousand, forty-five".

Divisors: 1 3 5 7 9 15 21 27 35 45 63 103 105 135 189 309 315 515 721 927 945 1545 2163 2781 3605 4635 6489 10815 13905 19467 32445 97335 4607227 13821681 23036135 32250589 41465043 69108405 96751767 124395129 161252945 207325215 290255301 474544381 483758835 621975645 870765903 1423633143 1451276505 2372721905 3321810667 4270899429 4353829515 7118165715 9965432001 12812698287 16609053335 21354497145 29896296003 49827160005 64063491435 89688888009 149481480015 448444440045