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44214824472 = 23371337719761
BaseRepresentation
bin101001001011011010…
…001010111000011000
311020010101222210201120
4221023122022320120
51211022443340342
632151221045240
73123453543540
oct511332127030
9136111883646
1044214824472
111782a130055
12869b556820
13422834ba40
1421d6282320
15123ba43aec
hexa4b68ae18

44214824472 has 256 divisors, whose sum is σ = 140100710400. Its totient is φ = 11315220480.

The previous prime is 44214824453. The next prime is 44214824477. The reversal of 44214824472 is 27442841244.

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (44214824477) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 58100572 + ... + 58101332.

It is an arithmetic number, because the mean of its divisors is an integer number (547268400).

Almost surely, 244214824472 is an apocalyptic number.

44214824472 is a gapful number since it is divisible by the number (42) 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 44214824472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70050355200).

44214824472 is an abundant number, since it is smaller than the sum of its proper divisors (95885885928).

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

44214824472 is a wasteful number, since it uses less digits than its factorization.

44214824472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1546 (or 1542 counting only the distinct ones).

The product of its digits is 458752, while the sum is 42.

The spelling of 44214824472 in words is "forty-four billion, two hundred fourteen million, eight hundred twenty-four thousand, four hundred seventy-two".