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4442020000 = 25541161331
BaseRepresentation
bin1000010001100001…
…11101100010100000
3102110120102222220021
410020300331202200
533044124120000
62012435523224
7215035355425
oct41060754240
912416388807
104442020000
11197a44a410
12a3b759514
1355a386102
14301d35d4c
151aee8911a
hex108c3d8a0

4442020000 has 240 divisors, whose sum is σ = 12153534624. Its totient is φ = 1584000000.

The previous prime is 4442019983. The next prime is 4442020019. The reversal of 4442020000 is 202444.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 13419835 + ... + 13420165.

Almost surely, 24442020000 is an apocalyptic number.

4442020000 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 4442020000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6076767312).

4442020000 is an abundant number, since it is smaller than the sum of its proper divisors (7711514624).

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

4442020000 is a wasteful number, since it uses less digits than its factorization.

4442020000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 433 (or 410 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 16.

The square root of 4442020000 is about 66648.4808529047. The cubic root of 4442020000 is about 1643.8423688015.

Adding to 4442020000 its reverse (202444), we get a palindrome (4442222444).

The spelling of 4442020000 in words is "four billion, four hundred forty-two million, twenty thousand".