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2441331420 = 22351125114737
BaseRepresentation
bin1001000110000011…
…1100001011011100
320022010210111010020
42101200330023130
514444440101140
61042130112140
7114332655213
oct22140741334
96263714106
102441331420
111043082480
1258171b650
132cba2a508
1419233c07a
15e44dc6d0
hex9183c2dc

2441331420 has 96 divisors (see below), whose sum is σ = 7487375616. Its totient is φ = 589440000.

The previous prime is 2441331371. The next prime is 2441331457. The reversal of 2441331420 is 241331442.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 158292 + ... + 173028.

It is an arithmetic number, because the mean of its divisors is an integer number (77993496).

Almost surely, 22441331420 is an apocalyptic number.

2441331420 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2441331420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3743687808).

2441331420 is an abundant number, since it is smaller than the sum of its proper divisors (5046044196).

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

2441331420 is a wasteful number, since it uses less digits than its factorization.

2441331420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15011 (or 15009 counting only the distinct ones).

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

The square root of 2441331420 is about 49409.8312079691. The cubic root of 2441331420 is about 1346.5079240010.

Adding to 2441331420 its reverse (241331442), we get a palindrome (2682662862).

The spelling of 2441331420 in words is "two billion, four hundred forty-one million, three hundred thirty-one thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 110 132 165 220 251 330 502 660 753 1004 1255 1506 2510 2761 3012 3765 5020 5522 7530 8283 11044 13805 14737 15060 16566 27610 29474 33132 41415 44211 55220 58948 73685 82830 88422 147370 162107 165660 176844 221055 294740 324214 442110 486321 648428 810535 884220 972642 1621070 1945284 2431605 3242140 3698987 4863210 7397974 9726420 11096961 14795948 18494935 22193922 36989870 40688857 44387844 55484805 73979740 81377714 110969610 122066571 162755428 203444285 221939220 244133142 406888570 488266284 610332855 813777140 1220665710 2441331420