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2443896144 = 243353106739
BaseRepresentation
bin1001000110101010…
…1110010101010000
320022022121210021000
42101222232111100
520001114134034
61042301102000
7114363526434
oct22152562520
96268553230
102443896144
111044574388
12582557900
132cc4179c1
141928089c4
15e4847599
hex91aae550

2443896144 has 80 divisors (see below), whose sum is σ = 7147310400. Its totient is φ = 799254144.

The previous prime is 2443896137. The next prime is 2443896163. The reversal of 2443896144 is 4416983442.

2443896144 is a `hidden beast` number, since 24 + 4 + 3 + 8 + 9 + 614 + 4 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 2443896144.

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, 30474 + ... + 76265.

It is an arithmetic number, because the mean of its divisors is an integer number (89341380).

Almost surely, 22443896144 is an apocalyptic number.

2443896144 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2443896144 is an abundant number, since it is smaller than the sum of its proper divisors (4703414256).

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

2443896144 is a wasteful number, since it uses less digits than its factorization.

2443896144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106809 (or 106797 counting only the distinct ones).

The product of its digits is 663552, while the sum is 45.

The square root of 2443896144 is about 49435.7779750658. Note that the first 3 decimals coincide. The cubic root of 2443896144 is about 1346.9792805380.

The spelling of 2443896144 in words is "two billion, four hundred forty-three million, eight hundred ninety-six thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 53 54 72 106 108 144 159 212 216 318 424 432 477 636 848 954 1272 1431 1908 2544 2862 3816 5724 7632 11448 22896 106739 213478 320217 426956 640434 853912 960651 1280868 1707824 1921302 2561736 2881953 3842604 5123472 5657167 5763906 7685208 11314334 11527812 15370416 16971501 22628668 23055624 33943002 45257336 46111248 50914503 67886004 90514672 101829006 135772008 152743509 203658012 271544016 305487018 407316024 610974036 814632048 1221948072 2443896144