Search a number
-
+
1441123024 = 241147832099
BaseRepresentation
bin101010111100101…
…1100101011010000
310201102201122010211
41111321130223100
510422411414044
6355000133504
750466225565
oct12571345320
93642648124
101441123024
1167a527070
12342767294
1319c749523
14d957886c
15867b9634
hex55e5cad0

1441123024 has 80 divisors (see below), whose sum is σ = 3149798400. Its totient is φ = 633092480.

The previous prime is 1441122989. The next prime is 1441123067. The reversal of 1441123024 is 4203211441.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 1441122986 and 1441123004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 685527 + ... + 687625.

It is an arithmetic number, because the mean of its divisors is an integer number (39372480).

Almost surely, 21441123024 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1441123024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1574899200).

1441123024 is an abundant number, since it is smaller than the sum of its proper divisors (1708675376).

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

1441123024 is a wasteful number, since it uses less digits than its factorization.

1441123024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2248 (or 2242 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 22.

The square root of 1441123024 is about 37962.1261786007. The cubic root of 1441123024 is about 1129.5367156122.

Adding to 1441123024 its reverse (4203211441), we get a palindrome (5644334465).

The spelling of 1441123024 in words is "one billion, four hundred forty-one million, one hundred twenty-three thousand, twenty-four".

Divisors: 1 2 4 8 11 16 22 44 47 83 88 94 166 176 188 332 376 517 664 752 913 1034 1328 1826 2068 2099 3652 3901 4136 4198 7304 7802 8272 8396 14608 15604 16792 23089 31208 33584 42911 46178 62416 85822 92356 98653 171644 174217 184712 197306 343288 348434 369424 394612 686576 696868 789224 1085183 1393736 1578448 1916387 2170366 2787472 3832774 4340732 7665548 8188199 8681464 15331096 16376398 17362928 30662192 32752796 65505592 90070189 131011184 180140378 360280756 720561512 1441123024