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442433440040 = 23572431527107
BaseRepresentation
bin1100111000000110001…
…01101000100100101000
31120021222221120110200012
412130003011220210220
524222100430040130
6535130124031052
743651625122124
oct6340305504450
91507887513605
10442433440040
111606a9162a09
12718b6092488
133294b8b7247
14175b1a16584
15b796d5e995
hex6703168928

442433440040 has 32 divisors (see below), whose sum is σ = 995613331680. Its totient is φ = 176948826432.

The previous prime is 442433439887. The next prime is 442433440063. The reversal of 442433440040 is 40044334244.

It is a junction number, because it is equal to n+sod(n) for n = 442433439979 and 442433440006.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 473834 + ... + 1053273.

It is an arithmetic number, because the mean of its divisors is an integer number (31112916615).

Almost surely, 2442433440040 is an apocalyptic number.

442433440040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

442433440040 is an abundant number, since it is smaller than the sum of its proper divisors (553179891640).

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

442433440040 is a wasteful number, since it uses less digits than its factorization.

442433440040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1534361 (or 1534357 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 32.

Adding to 442433440040 its reverse (40044334244), we get a palindrome (482477774284).

The spelling of 442433440040 in words is "four hundred forty-two billion, four hundred thirty-three million, four hundred forty thousand, forty".

Divisors: 1 2 4 5 8 10 20 40 7243 14486 28972 36215 57944 72430 144860 289720 1527107 3054214 6108428 7635535 12216856 15271070 30542140 61084280 11060836001 22121672002 44243344004 55304180005 88486688008 110608360010 221216720020 442433440040