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283945056144 = 24315227388489
BaseRepresentation
bin1000010000111000111…
…00011011011110010000
31000010220121201101010220
410020130130123132100
514123004413244034
6334235331553040
726341265104011
oct4103434333620
91003817641126
10283945056144
11aa469644362
124704475b780
1320a11878c29
14da58b8b008
1575bce63749
hex421c71b790

283945056144 has 40 divisors (see below), whose sum is σ = 733574789280. Its totient is φ = 94641892608.

The previous prime is 283945056133. The next prime is 283945056151. The reversal of 283945056144 is 441650549382.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 536652 + ... + 925140.

It is an arithmetic number, because the mean of its divisors is an integer number (18339369732).

Almost surely, 2283945056144 is an apocalyptic number.

283945056144 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

283945056144 is an abundant number, since it is smaller than the sum of its proper divisors (449629733136).

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

283945056144 is a wasteful number, since it uses less digits than its factorization.

283945056144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 403727 (or 403721 counting only the distinct ones).

The product of its (nonzero) digits is 4147200, while the sum is 51.

The spelling of 283945056144 in words is "two hundred eighty-three billion, nine hundred forty-five million, fifty-six thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 48 15227 30454 45681 60908 91362 121816 182724 243632 365448 388489 730896 776978 1165467 1553956 2330934 3107912 4661868 6215824 9323736 18647472 5915522003 11831044006 17746566009 23662088012 35493132018 47324176024 70986264036 94648352048 141972528072 283945056144