Search a number
-
+
4041330020 = 2257131926151
BaseRepresentation
bin1111000011100001…
…1100110101100100
3101102122110211120122
43300320130311210
531234040030040
61505003421112
7202101511160
oct36070346544
911378424518
104041330020
111794253072
12949524798
134c5362750
142a4a31ca0
15189bdb1b5
hexf0e1cd64

4041330020 has 144 divisors (see below), whose sum is σ = 11025762048. Its totient is φ = 1211500800.

The previous prime is 4041329959. The next prime is 4041330037. The reversal of 4041330020 is 200331404.

4041330020 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 653945 + ... + 660095.

It is an arithmetic number, because the mean of its divisors is an integer number (76567792).

Almost surely, 24041330020 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 4041330020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5512881024).

4041330020 is an abundant number, since it is smaller than the sum of its proper divisors (6984432028).

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

4041330020 is a wasteful number, since it uses less digits than its factorization.

4041330020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6218 (or 6197 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 17.

The square root of 4041330020 is about 63571.4560160454. The cubic root of 4041330020 is about 1592.8496055351.

Adding to 4041330020 its reverse (200331404), we get a palindrome (4241661424).

The spelling of 4041330020 in words is "four billion, forty-one million, three hundred thirty thousand, twenty".

Divisors: 1 2 4 5 7 10 13 14 19 20 26 28 35 38 52 65 70 76 91 95 130 133 140 182 190 247 260 266 361 364 380 455 494 532 665 722 910 988 1235 1330 1444 1729 1805 1820 2470 2527 2660 3458 3610 4693 4940 5054 6151 6916 7220 8645 9386 10108 12302 12635 17290 18772 23465 24604 25270 30755 32851 34580 43057 46930 50540 61510 65702 79963 86114 93860 116869 123020 131404 159926 164255 172228 215285 233738 319852 328510 399815 430570 467476 559741 584345 657020 799630 818083 861140 1119482 1168690 1519297 1599260 1636166 2220511 2238964 2337380 2798705 3038594 3272332 4090415 4441022 5597410 6077188 7596485 8180830 8882044 10635079 11102555 11194820 15192970 15543577 16361660 21270158 22205110 28866643 30385940 31087154 42540316 44410220 53175395 57733286 62174308 77717885 106350790 115466572 144333215 155435770 202066501 212701580 288666430 310871540 404133002 577332860 808266004 1010332505 2020665010 4041330020