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242041411424001 = 37103769868916747
BaseRepresentation
bin110111000010001010101000…
…010110010100111100000001
31011201222221012010022020002110
4313002022220112110330001
5223211101302311032001
62214440142301205533
7101660625545233110
oct6702125026247401
91151887163266073
10242041411424001
1170138205818a62
12231912b6b608a9
13a50953a6bb797
1443aac1c7a3c77
151ceb0bc6203d6
hexdc22a8594f01

242041411424001 has 64 divisors (see below), whose sum is σ = 372955289907200. Its totient is φ = 136764548775936.

The previous prime is 242041411423993. The next prime is 242041411424051. The reversal of 242041411424001 is 100424114140242.

It is not a de Polignac number, because 242041411424001 - 23 = 242041411423993 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 242041411424001.

It is not an unprimeable number, because it can be changed into a prime (242041411424051) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 14452813710 + ... + 14452830456.

It is an arithmetic number, because the mean of its divisors is an integer number (5827426404800).

Almost surely, 2242041411424001 is an apocalyptic number.

242041411424001 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

242041411424001 is a deficient number, since it is larger than the sum of its proper divisors (130913878483199).

242041411424001 is a wasteful number, since it uses less digits than its factorization.

242041411424001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26318.

The product of its (nonzero) digits is 8192, while the sum is 30.

Adding to 242041411424001 its reverse (100424114140242), we get a palindrome (342465525564243).

The spelling of 242041411424001 in words is "two hundred forty-two trillion, forty-one billion, four hundred eleven million, four hundred twenty-four thousand, one".

Divisors: 1 3 7 21 103 309 721 769 2163 2307 5383 8689 16149 16747 26067 50241 60823 79207 117229 182469 237621 351687 554449 894967 1663347 1724941 2684901 5174823 6264769 6681841 12074587 12878443 18794307 20045523 36223761 38635329 46772887 90149101 140318661 145514683 270447303 436544049 688229623 1018602781 1326479629 2064688869 3055808343 3979438887 4817607361 9285357403 14452822083 14988012349 27856072209 44964037047 104916086443 111900791227 314748259329 335702373681 783305538589 2349916615767 11525781496381 34577344489143 80680470474667 242041411424001