Search a number
-
+
442621361440 = 2552766383509
BaseRepresentation
bin1100111000011100100…
…10011111110100100000
31120022111001011212101001
412130032102133310200
524222442032031230
6535200515521344
743656366331666
oct6341622376440
91508431155331
10442621361440
11160795246055
1271948bb9254
133297b80283b
14175cc972c36
15b7a85d00ca
hex670e49fd20

442621361440 has 24 divisors (see below), whose sum is σ = 1045692966780. Its totient is φ = 177048544512.

The previous prime is 442621361393. The next prime is 442621361449. The reversal of 442621361440 is 44163126244.

It can be written as a sum of positive squares in 2 ways, for example, as 399641437584 + 42979923856 = 632172^2 + 207316^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 442621361440.

It is not an unprimeable number, because it can be changed into a prime (442621361449) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1383191595 + ... + 1383191914.

Almost surely, 2442621361440 is an apocalyptic number.

442621361440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

442621361440 is an abundant number, since it is smaller than the sum of its proper divisors (603071605340).

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

442621361440 is a wasteful number, since it uses less digits than its factorization.

442621361440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2766383524 (or 2766383516 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 37.

Adding to 442621361440 its reverse (44163126244), we get a palindrome (486784487684).

The spelling of 442621361440 in words is "four hundred forty-two billion, six hundred twenty-one million, three hundred sixty-one thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 2766383509 5532767018 11065534036 13831917545 22131068072 27663835090 44262136144 55327670180 88524272288 110655340360 221310680720 442621361440