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442452254244 = 22371113243131503
BaseRepresentation
bin1100111000001000011…
…01011001111000100100
31120022001020222022220120
412130010031121320210
524222120234113434
6535132035201540
743652244052050
oct6340415317044
91508036868816
10442452254244
11160708843340
12719004462b0
1332952773a00
14175b4312c60
15b798829349
hex6704359e24

442452254244 has 576 divisors, whose sum is σ = 1439917129728. Its totient is φ = 102620044800.

The previous prime is 442452254243. The next prime is 442452254249.

442452254244 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 442452254196 and 442452254205.

It is not an unprimeable number, because it can be changed into a prime (442452254243) by changing a digit.

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 191 ways as a sum of consecutive naturals, for example, 879626497 + ... + 879626999.

It is an arithmetic number, because the mean of its divisors is an integer number (2499856128).

Almost surely, 2442452254244 is an apocalyptic number.

442452254244 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 442452254244, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (719958564864).

442452254244 is an abundant number, since it is smaller than the sum of its proper divisors (997464875484).

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

442452254244 is a wasteful number, since it uses less digits than its factorization.

442452254244 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 728 (or 713 counting only the distinct ones).

The product of its digits is 1638400, while the sum is 42.

It can be divided in two parts, 442452 and 254244, that added together give a palindrome (696696).

The spelling of 442452254244 in words is "four hundred forty-two billion, four hundred fifty-two million, two hundred fifty-four thousand, two hundred forty-four".