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242340542120000 = 26546058513553
BaseRepresentation
bin110111000110100001001101…
…111011011000000001000000
31011210001112022001111000221002
4313012201031323120001000
5223231001412240320000
62215225412542151132
7102021345356214452
oct6706411573300100
91153045261430832
10242340542120000
11702430572492a5
122321b2792824a8
13a52b7cc3b070c
1443bb4b829a2d2
151d03c788178d5
hexdc684ded8040

242340542120000 has 70 divisors (see below), whose sum is σ = 600925783880598. Its totient is φ = 96936216832000.

The previous prime is 242340542119979. The next prime is 242340542120063. The reversal of 242340542120000 is 21245043242.

It can be written as a sum of positive squares in 5 ways, for example, as 90646241972224 + 151694300147776 = 9520832^2 + 12316424^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 3029216777 + ... + 3029296776.

Almost surely, 2242340542120000 is an apocalyptic number.

242340542120000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

242340542120000 is an abundant number, since it is smaller than the sum of its proper divisors (358585241760598).

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

242340542120000 is an frugal number, since it uses more digits than its factorization.

242340542120000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6058513585 (or 6058513560 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 29.

Adding to 242340542120000 its reverse (21245043242), we get a palindrome (242361787163242).

The spelling of 242340542120000 in words is "two hundred forty-two trillion, three hundred forty billion, five hundred forty-two million, one hundred twenty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 160 200 250 320 400 500 625 800 1000 1250 1600 2000 2500 4000 5000 8000 10000 20000 40000 6058513553 12117027106 24234054212 30292567765 48468108424 60585135530 96936216848 121170271060 151462838825 193872433696 242340542120 302925677650 387744867392 484681084240 605851355300 757314194125 969362168480 1211702710600 1514628388250 1938724336960 2423405421200 3029256776500 3786570970625 4846810842400 6058513553000 7573141941250 9693621684800 12117027106000 15146283882500 24234054212000 30292567765000 48468108424000 60585135530000 121170271060000 242340542120000