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442000924400 = 24527157857473
BaseRepresentation
bin1100110111010010100…
…11101101111011110000
31120020212210201101202102
412123221103231323300
524220204214040100
6535015153435532
743635123603440
oct6335123557360
91506783641672
10442000924400
111604a6aa9572
12717b526bba8
13328b00cc929
14175703ca120
15b76ddc6cd5
hex66e94edef0

442000924400 has 60 divisors (see below), whose sum is σ = 1213608260112. Its totient is φ = 151543173120.

The previous prime is 442000924381. The next prime is 442000924403. The reversal of 442000924400 is 4429000244.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (442000924403) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 78925937 + ... + 78931536.

Almost surely, 2442000924400 is an apocalyptic number.

442000924400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

442000924400 is an abundant number, since it is smaller than the sum of its proper divisors (771607335712).

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

442000924400 is a wasteful number, since it uses less digits than its factorization.

442000924400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 157857498 (or 157857487 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 29.

Adding to 442000924400 its reverse (4429000244), we get a palindrome (446429924644).

The spelling of 442000924400 in words is "four hundred forty-two billion, nine hundred twenty-four thousand, four hundred".

Divisors: 1 2 4 5 7 8 10 14 16 20 25 28 35 40 50 56 70 80 100 112 140 175 200 280 350 400 560 700 1400 2800 157857473 315714946 631429892 789287365 1105002311 1262859784 1578574730 2210004622 2525719568 3157149460 3946436825 4420009244 5525011555 6314298920 7892873650 8840018488 11050023110 12628597840 15785747300 17680036976 22100046220 27625057775 31571494600 44200092440 55250115550 63142989200 88400184880 110500231100 221000462200 442000924400