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1441118430 = 2325411093583
BaseRepresentation
bin101010111100101…
…1011100011011110
310201102201101211200
41111321123203132
510422411242210
6355000100330
750466206313
oct12571334336
93642641750
101441118430
1167a523674
123427646a6
1319c7473cb
14d9576d0a
15867b80c0
hex55e5b8de

1441118430 has 96 divisors (see below), whose sum is σ = 3874590720. Its totient is φ = 371381760.

The previous prime is 1441118417. The next prime is 1441118447. The reversal of 1441118430 is 348111441.

It is a junction number, because it is equal to n+sod(n) for n = 1441118394 and 1441118403.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 400419 + ... + 404001.

It is an arithmetic number, because the mean of its divisors is an integer number (40360320).

Almost surely, 21441118430 is an apocalyptic number.

1441118430 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1441118430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1937295360).

1441118430 is an abundant number, since it is smaller than the sum of its proper divisors (2433472290).

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

1441118430 is a wasteful number, since it uses less digits than its factorization.

1441118430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3746 (or 3743 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 1441118430 is about 37962.0656708773. The cubic root of 1441118430 is about 1129.5355153683.

Adding to 1441118430 its reverse (348111441), we get a palindrome (1789229871).

The spelling of 1441118430 in words is "one billion, four hundred forty-one million, one hundred eighteen thousand, four hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 41 45 82 90 109 123 205 218 246 327 369 410 545 615 654 738 981 1090 1230 1635 1845 1962 3270 3583 3690 4469 4905 7166 8938 9810 10749 13407 17915 21498 22345 26814 32247 35830 40221 44690 53745 64494 67035 80442 107490 134070 146903 161235 201105 293806 322470 390547 402210 440709 734515 781094 881418 1171641 1322127 1469030 1952735 2203545 2343282 2644254 3514923 3905470 4407090 5858205 6610635 7029846 11716410 13221270 16012427 17574615 32024854 35149230 48037281 80062135 96074562 144111843 160124270 240186405 288223686 480372810 720559215 1441118430