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240411242000000 = 2756120205621
BaseRepresentation
bin110110101010011100011010…
…101011011110111010000000
31011112020002102210221012201002
4312222130122223132322000
5223002344210423000000
62211151222213031132
7101432065456610501
oct6652343253367200
91145202383835632
10240411242000000
116a669920667805
1222b693866254a8
13a41b8b5290586
144351d75368ba8
151cbd9ac5e78d5
hexdaa71aadee80

240411242000000 has 112 divisors (see below), whose sum is σ = 598672680836910. Its totient is φ = 96164496000000.

The previous prime is 240411241999931. The next prime is 240411242000117. The reversal of 240411242000000 is 242114042.

It can be written as a sum of positive squares in 7 ways, for example, as 200822682700864 + 39588559299136 = 14171192^2 + 6291944^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 58102811 + ... + 62102810.

Almost surely, 2240411242000000 is an apocalyptic number.

240411242000000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

240411242000000 is an abundant number, since it is smaller than the sum of its proper divisors (358261438836910).

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

240411242000000 is an frugal number, since it uses more digits than its factorization.

240411242000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120205665 (or 120205628 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 20.

Adding to 240411242000000 its reverse (242114042), we get a palindrome (240411484114042).

The spelling of 240411242000000 in words is "two hundred forty trillion, four hundred eleven billion, two hundred forty-two million", and thus it is an aban number.

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 128 160 200 250 320 400 500 625 640 800 1000 1250 1600 2000 2500 3125 3200 4000 5000 6250 8000 10000 12500 15625 16000 20000 25000 31250 40000 50000 62500 80000 100000 125000 200000 250000 400000 500000 1000000 2000000 120205621 240411242 480822484 601028105 961644968 1202056210 1923289936 2404112420 3005140525 3846579872 4808224840 6010281050 7693159744 9616449680 12020562100 15025702625 15386319488 19232899360 24041124200 30051405250 38465798720 48082248400 60102810500 75128513125 76931597440 96164496800 120205621000 150257026250 192328993600 240411242000 300514052500 375642565625 384657987200 480822484000 601028105000 751285131250 961644968000 1202056210000 1502570262500 1878212828125 1923289936000 2404112420000 3005140525000 3756425656250 4808224840000 6010281050000 7512851312500 9616449680000 12020562100000 15025702625000 24041124200000 30051405250000 48082248400000 60102810500000 120205621000000 240411242000000