Search a number
-
+
41424342242420 = 225172572066322943
BaseRepresentation
bin10010110101100110110110…
…01101000101010001110100
312102200010110122010211211102
421122303123031011101310
520412144023103224140
6224034025145425232
711503544550251414
oct1132633315052164
9172603418124742
1041424342242420
1112220a682a1385
12479039449b218
131a163b6368b77
14a32d3d96c644
154bc81ee22e15
hex25acdb345474

41424342242420 has 96 divisors (see below), whose sum is σ = 92475146631168. Its totient is φ = 15532936527872.

The previous prime is 41424342242411. The next prime is 41424342242449. The reversal of 41424342242420 is 2424224342414.

41424342242420 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×414243422424202 (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1805521469 + ... + 1805544411.

It is an arithmetic number, because the mean of its divisors is an integer number (963282777408).

Almost surely, 241424342242420 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 41424342242420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46237573315584).

41424342242420 is an abundant number, since it is smaller than the sum of its proper divisors (51050804388748).

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

41424342242420 is a wasteful number, since it uses less digits than its factorization.

41424342242420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43889 (or 43887 counting only the distinct ones).

The product of its (nonzero) digits is 393216, while the sum is 38.

Adding to 41424342242420 its reverse (2424224342414), we get a palindrome (43848566584834).

The spelling of 41424342242420 in words is "forty-one trillion, four hundred twenty-four billion, three hundred forty-two million, two hundred forty-two thousand, four hundred twenty".

Divisors: 1 2 4 5 10 17 20 34 68 85 170 257 340 514 1028 1285 2570 4369 5140 8738 17476 20663 21845 22943 41326 43690 45886 82652 87380 91772 103315 114715 206630 229430 351271 390031 413260 458860 702542 780062 1405084 1560124 1756355 1950155 3512710 3900310 5310391 5896351 7025420 7800620 10620782 11792702 21241564 23585404 26551955 29481755 53103910 58963510 90276647 100237967 106207820 117927020 180553294 200475934 361106588 400951868 451383235 474071209 501189835 902766470 948142418 1002379670 1805532940 1896284836 2004759340 2370356045 4740712090 8059210553 9481424180 16118421106 32236842212 40296052765 80592105530 121836300713 161184211060 243672601426 487345202852 609181503565 1218363007130 2071217112121 2436726014260 4142434224242 8284868448484 10356085560605 20712171121210 41424342242420