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1441056474 = 2331113593163
BaseRepresentation
bin101010111100100…
…1100011011011010
310201102121020212000
41111321030123122
510422402301344
6354554501430
750465530554
oct12571143332
93642536760
101441056474
1167a491070
12342734876
1319c725150
14d955c4d4
15867a4a69
hex55e4c6da

1441056474 has 128 divisors (see below), whose sum is σ = 3827174400. Its totient is φ = 396135360.

The previous prime is 1441056433. The next prime is 1441056481. The reversal of 1441056474 is 4746501441.

It is a happy number.

1441056474 is a `hidden beast` number, since 1 + 4 + 4 + 1 + 0 + 5 + 647 + 4 = 666.

It is a super-2 number, since 2×14410564742 = 4153287522514625352, which contains 22 as substring.

It is a Curzon number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 454017 + ... + 457179.

It is an arithmetic number, because the mean of its divisors is an integer number (29899800).

Almost surely, 21441056474 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1441056474, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1913587200).

1441056474 is an abundant number, since it is smaller than the sum of its proper divisors (2386117926).

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

1441056474 is a wasteful number, since it uses less digits than its factorization.

1441056474 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3257 (or 3251 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The square root of 1441056474 is about 37961.2496369653. The cubic root of 1441056474 is about 1129.5193282866.

The spelling of 1441056474 in words is "one billion, four hundred forty-one million, fifty-six thousand, four hundred seventy-four".

Divisors: 1 2 3 6 9 11 13 18 22 26 27 33 39 54 59 66 78 99 117 118 143 177 198 234 286 297 351 354 429 531 594 649 702 767 858 1062 1287 1298 1534 1593 1947 2301 2574 3163 3186 3861 3894 4602 5841 6326 6903 7722 8437 9489 11682 13806 16874 17523 18978 20709 25311 28467 34793 35046 41119 41418 50622 56934 69586 75933 82238 85401 104379 123357 151866 170802 186617 208758 227799 246714 313137 370071 373234 452309 455598 559851 626274 740142 904618 939411 1110213 1119702 1356927 1679553 1878822 2052787 2220426 2426021 2713854 3359106 4070781 4105574 4852042 5038659 6158361 7278063 8141562 10077318 12212343 12316722 14556126 18475083 21834189 24424686 26686231 36950166 43668378 53372462 55425249 65502567 80058693 110850498 131005134 160117386 240176079 480352158 720528237 1441056474