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448224313344 = 21439119147
BaseRepresentation
bin1101000010111000100…
…00000100000000000000
31120211221112010022110020
412201130100010000000
524320430411011334
6541524510333440
744245262541513
oct6413420040000
91524845108406
10448224313344
111630aaa37815
1272a514ba280
13333625517b2
14179a0b48d7a
15b9d5438e49
hex685c404000

448224313344 has 60 divisors (see below), whose sum is σ = 1195228490064. Its totient is φ = 149408088064.

The previous prime is 448224313337. The next prime is 448224313357. The reversal of 448224313344 is 443313422844.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 448224313296 and 448224313305.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 4510422 + ... + 4608725.

Almost surely, 2448224313344 is an apocalyptic number.

It is an amenable number.

448224313344 is an abundant number, since it is smaller than the sum of its proper divisors (747004176720).

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

448224313344 is an frugal number, since it uses more digits than its factorization.

448224313344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9119178 (or 9119152 counting only the distinct ones).

The product of its digits is 884736, while the sum is 42.

The spelling of 448224313344 in words is "four hundred forty-eight billion, two hundred twenty-four million, three hundred thirteen thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 256 384 512 768 1024 1536 2048 3072 4096 6144 8192 12288 16384 24576 49152 9119147 18238294 27357441 36476588 54714882 72953176 109429764 145906352 218859528 291812704 437719056 583625408 875438112 1167250816 1750876224 2334501632 3501752448 4669003264 7003504896 9338006528 14007009792 18676013056 28014019584 37352026112 56028039168 74704052224 112056078336 149408104448 224112156672 448224313344