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44342452000 = 25537211131157
BaseRepresentation
bin101001010011000001…
…000001111100100000
311020110022010221210001
4221103001001330200
51211303131431000
632212020345344
73126563423500
oct512301017440
9136408127701
1044342452000
1117895181550
128716245254
1342489166a2
1422091c5a00
151247d5446a
hexa53041f20

44342452000 has 576 divisors, whose sum is σ = 140201373312. Its totient is φ = 13628160000.

The previous prime is 44342451949. The next prime is 44342452003. The reversal of 44342452000 is 25424344.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a self number, because there is not a number n which added to its sum of digits gives 44342452000.

It is not an unprimeable number, because it can be changed into a prime (44342452003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 282435922 + ... + 282436078.

It is an arithmetic number, because the mean of its divisors is an integer number (243405162).

Almost surely, 244342452000 is an apocalyptic number.

44342452000 is a gapful number since it is divisible by the number (40) 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 44342452000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70100686656).

44342452000 is an abundant number, since it is smaller than the sum of its proper divisors (95858921312).

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

44342452000 is a wasteful number, since it uses less digits than its factorization.

44342452000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 338 (or 313 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 28.

Adding to 44342452000 its reverse (25424344), we get a palindrome (44367876344).

The spelling of 44342452000 in words is "forty-four billion, three hundred forty-two million, four hundred fifty-two thousand".