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241424121000 = 2335396783221
BaseRepresentation
bin1110000011010111111…
…1111011110010101000
3212002011021002001202010
43200311333323302220
512423414033333000
6302524140435520
723304500112036
oct3406577736250
9762137061663
10241424121000
1193429693447
123a958548ba0
13199c644728a
14b98387d556
15642eeb7d50
hex3835ffbca8

241424121000 has 128 divisors (see below), whose sum is σ = 754031266560. Its totient is φ = 64312416000.

The previous prime is 241424120969. The next prime is 241424121007. The reversal of 241424121000 is 121424142.

It is not an unprimeable number, because it can be changed into a prime (241424121007) by changing a digit.

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, 2859390 + ... + 2942610.

It is an arithmetic number, because the mean of its divisors is an integer number (5890869270).

Almost surely, 2241424121000 is an apocalyptic number.

241424121000 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 241424121000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (377015633280).

241424121000 is an abundant number, since it is smaller than the sum of its proper divisors (512607145560).

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

241424121000 is a wasteful number, since it uses less digits than its factorization.

241424121000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84212 (or 84198 counting only the distinct ones).

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

Adding to 241424121000 its reverse (121424142), we get a palindrome (241545545142).

The spelling of 241424121000 in words is "two hundred forty-one billion, four hundred twenty-four million, one hundred twenty-one thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 125 150 200 250 300 375 500 600 750 967 1000 1500 1934 2901 3000 3868 4835 5802 7736 9670 11604 14505 19340 23208 24175 29010 38680 48350 58020 72525 83221 96700 116040 120875 145050 166442 193400 241750 249663 290100 332884 362625 416105 483500 499326 580200 665768 725250 832210 967000 998652 1248315 1450500 1664420 1997304 2080525 2496630 2901000 3328840 4161050 4993260 6241575 8322100 9986520 10402625 12483150 16644200 20805250 24966300 31207875 41610500 49932600 62415750 80474707 83221000 124831500 160949414 241424121 249663000 321898828 402373535 482848242 643797656 804747070 965696484 1207120605 1609494140 1931392968 2011867675 2414241210 3218988280 4023735350 4828482420 6035603025 8047470700 9656964840 10059338375 12071206050 16094941400 20118676750 24142412100 30178015125 40237353500 48284824200 60356030250 80474707000 120712060500 241424121000