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448241142844 = 221173337414101
BaseRepresentation
bin1101000010111010100…
…00010000110000111100
31120211222200210100012001
412201131100100300330
524320444213032334
6541530311152044
744245555564225
oct6413520206074
91524880710161
10448241142844
11163109491aa0
1272a57075624
1333365b94a91
14179a308a24c
15b9d6b60714
hex685d410c3c

448241142844 has 48 divisors (see below), whose sum is σ = 870031614816. Its totient is φ = 200358144000.

The previous prime is 448241142779. The next prime is 448241142883.

448241142844 is nontrivially palindromic in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 448241142794 and 448241142803.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 875394 + ... + 1289494.

It is an arithmetic number, because the mean of its divisors is an integer number (18125658642).

Almost surely, 2448241142844 is an apocalyptic number.

448241142844 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

448241142844 is a deficient number, since it is larger than the sum of its proper divisors (421790471972).

448241142844 is a wasteful number, since it uses less digits than its factorization.

448241142844 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 414526 (or 414524 counting only the distinct ones).

The product of its digits is 1048576, while the sum is 46.

The spelling of 448241142844 in words is "four hundred forty-eight billion, two hundred forty-one million, one hundred forty-two thousand, eight hundred forty-four".

Divisors: 1 2 4 11 22 44 73 146 292 337 674 803 1348 1606 3212 3707 7414 14828 24601 49202 98404 270611 414101 541222 828202 1082444 1656404 4555111 9110222 18220444 30229373 60458746 120917492 139552037 279104074 332523103 558208148 665046206 1330092412 1535072407 3070144814 6140289628 10187298701 20374597402 40749194804 112060285711 224120571422 448241142844