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441721127144 = 231119264187277
BaseRepresentation
bin1100110110110001010…
…00011000000011101000
31120020011022020020002002
412123120220120003220
524214121102032034
6534531320430132
743625155426133
oct6333050300350
91506138206062
10441721127144
11160373073770
1271737618348
133286715661b
141754519521a
15b754558e7e
hex66d8a180e8

441721127144 has 32 divisors (see below), whose sum is σ = 951074200800. Its totient is φ = 190214838720.

The previous prime is 441721127143. The next prime is 441721127171.

441721127144 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (38).

It is a junction number, because it is equal to n+sod(n) for n = 441721127098 and 441721127107.

It is not an unprimeable number, because it can be changed into a prime (441721127143) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 132091967 + ... + 132095310.

It is an arithmetic number, because the mean of its divisors is an integer number (29721068775).

Almost surely, 2441721127144 is an apocalyptic number.

441721127144 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

441721127144 is an abundant number, since it is smaller than the sum of its proper divisors (509353073656).

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

441721127144 is a wasteful number, since it uses less digits than its factorization.

441721127144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 264187313 (or 264187309 counting only the distinct ones).

The product of its digits is 50176, while the sum is 38.

It can be divided in two parts, 441721 and 127144, that added together give a palindrome (568865).

The spelling of 441721127144 in words is "four hundred forty-one billion, seven hundred twenty-one million, one hundred twenty-seven thousand, one hundred forty-four".

Divisors: 1 2 4 8 11 19 22 38 44 76 88 152 209 418 836 1672 264187277 528374554 1056749108 2113498216 2906060047 5019558263 5812120094 10039116526 11624240188 20078233052 23248480376 40156466104 55215140893 110430281786 220860563572 441721127144