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2441142330 = 2351122632557
BaseRepresentation
bin1001000110000000…
…1110000000111010
320022010102212201220
42101200032000322
514444413023310
61042122052510
7114331240014
oct22140160072
96263385656
102441142330
111042a63400
1258164a136
132cb992423
141922cd1b4
15e44a1670
hex9180e03a

2441142330 has 96 divisors (see below), whose sum is σ = 6466787712. Its totient is φ = 589311360.

The previous prime is 2441142323. The next prime is 2441142343. The reversal of 2441142330 is 332411442.

It is a self number, because there is not a number n which added to its sum of digits gives 2441142330.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 953412 + ... + 955968.

It is an arithmetic number, because the mean of its divisors is an integer number (67362372).

Almost surely, 22441142330 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2441142330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3233393856).

2441142330 is an abundant number, since it is smaller than the sum of its proper divisors (4025645382).

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

2441142330 is a wasteful number, since it uses less digits than its factorization.

2441142330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2852 (or 2841 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

The square root of 2441142330 is about 49407.9176853265. The cubic root of 2441142330 is about 1346.4731591244.

Adding to 2441142330 its reverse (332411442), we get a palindrome (2773553772).

The spelling of 2441142330 in words is "two billion, four hundred forty-one million, one hundred forty-two thousand, three hundred thirty".

Divisors: 1 2 3 5 6 10 11 15 22 30 33 55 66 110 121 165 242 263 330 363 526 605 726 789 1210 1315 1578 1815 2557 2630 2893 3630 3945 5114 5786 7671 7890 8679 12785 14465 15342 17358 25570 28127 28930 31823 38355 43395 56254 63646 76710 84381 86790 95469 140635 159115 168762 190938 281270 309397 318230 421905 477345 618794 672491 843810 928191 954690 1344982 1546985 1856382 2017473 3093970 3362455 4034946 4640955 6724910 7397401 9281910 10087365 14794802 20174730 22192203 36987005 44384406 73974010 81371411 110961015 162742822 221922030 244114233 406857055 488228466 813714110 1220571165 2441142330