Search a number
-
+
448307304016 = 24111319311073109
BaseRepresentation
bin1101000011000010011…
…00101001011001010000
31120212011022021200020211
412201201030221121100
524321113132212031
6541541033213504
744250321132025
oct6414114513120
91525138250224
10448307304016
11163142870950
1272a75261294
13333767bb1c0
14179abb8d54c
15b9dc87dbb1
hex6861329650

448307304016 has 320 divisors, whose sum is σ = 1119528345600. Its totient is φ = 170785843200.

The previous prime is 448307304007. The next prime is 448307304043. The reversal of 448307304016 is 610403703844.

It is a self number, because there is not a number n which added to its sum of digits gives 448307304016.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 144195070 + ... + 144198178.

It is an arithmetic number, because the mean of its divisors is an integer number (3498526080).

Almost surely, 2448307304016 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 448307304016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (559764172800).

448307304016 is an abundant number, since it is smaller than the sum of its proper divisors (671221041584).

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

448307304016 is a wasteful number, since it uses less digits than its factorization.

448307304016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3298 (or 3292 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 40.

The spelling of 448307304016 in words is "four hundred forty-eight billion, three hundred seven million, three hundred four thousand, sixteen".