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4444044000 = 2535311131257
BaseRepresentation
bin1000010001110001…
…01011101011100000
3102110201020211022020
410020320223223200
533100133402000
62012551141440
7215061515334
oct41070535340
912421224266
104444044000
111980602040
12a40374880
1355a914446
143023017c4
151b0238ba0
hex108e2bae0

4444044000 has 384 divisors, whose sum is σ = 16065713664. Its totient is φ = 1064960000.

The previous prime is 4444043993. The next prime is 4444044043. The reversal of 4444044000 is 4404444.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 17291872 + ... + 17292128.

It is an arithmetic number, because the mean of its divisors is an integer number (41837796).

Almost surely, 24444044000 is an apocalyptic number.

4444044000 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 4444044000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8032856832).

4444044000 is an abundant number, since it is smaller than the sum of its proper divisors (11621669664).

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

4444044000 is a wasteful number, since it uses less digits than its factorization.

4444044000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 427 (or 409 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 24.

The square root of 4444044000 is about 66663.6632656802. The cubic root of 4444044000 is about 1644.0920023577.

Adding to 4444044000 its reverse (4404444), we get a palindrome (4448448444).

It can be divided in two parts, 44 and 44044000, that added together give a palindrome (44044044).

The spelling of 4444044000 in words is "four billion, four hundred forty-four million, forty-four thousand".