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14241441000 = 233537576271
BaseRepresentation
bin11010100001101101…
…10010010011101000
31100202111210011100210
431100312302103220
5213131302103000
610313055301120
71012626152103
oct152066622350
940674704323
1014241441000
116048a16456
12291551a7a0
13145c645887
149915a573a
15585426350
hex350db24e8

14241441000 has 128 divisors (see below), whose sum is σ = 44499087360. Its totient is φ = 3792096000.

The previous prime is 14241440989. The next prime is 14241441043. The reversal of 14241441000 is 14414241.

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, 2267865 + ... + 2274135.

It is an arithmetic number, because the mean of its divisors is an integer number (347649120).

Almost surely, 214241441000 is an apocalyptic number.

14241441000 is a gapful number since it is divisible by the number (10) 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 14241441000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22249543680).

14241441000 is an abundant number, since it is smaller than the sum of its proper divisors (30257646360).

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

14241441000 is a wasteful number, since it uses less digits than its factorization.

14241441000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7052 (or 7038 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 21.

Adding to 14241441000 its reverse (14414241), we get a palindrome (14255855241).

The spelling of 14241441000 in words is "fourteen billion, two hundred forty-one million, four hundred forty-one thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 125 150 200 250 300 375 500 600 750 757 1000 1500 1514 2271 3000 3028 3785 4542 6056 6271 7570 9084 11355 12542 15140 18168 18813 18925 22710 25084 30280 31355 37626 37850 45420 50168 56775 62710 75252 75700 90840 94065 94625 113550 125420 150504 151400 156775 188130 189250 227100 250840 283875 313550 376260 378500 454200 470325 567750 627100 752520 757000 783875 940650 1135500 1254200 1567750 1881300 2271000 2351625 3135500 3762600 4703250 4747147 6271000 9406500 9494294 14241441 18813000 18988588 23735735 28482882 37977176 47471470 56965764 71207205 94942940 113931528 118678675 142414410 189885880 237357350 284828820 356036025 474714700 569657640 593393375 712072050 949429400 1186786750 1424144100 1780180125 2373573500 2848288200 3560360250 4747147000 7120720500 14241441000