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242744400569904 = 24329360307483991
BaseRepresentation
bin110111001100011001010101…
…110001000110011000110000
31011211111010201122101222010220
4313030121111301012120300
5223304111013021214104
62220135123234253040
7102062463352334532
oct6714312561063060
91154433648358126
10242744400569904
117038935a874172
12232855a8727180
13a55a91120c6bc
1443d2c6aa87852
151d0e513d257d9
hexdcc655c46630

242744400569904 has 80 divisors (see below), whose sum is σ = 648716625073920. Its totient is φ = 78124256421120.

The previous prime is 242744400569831. The next prime is 242744400569959. The reversal of 242744400569904 is 409965004447242.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 501305349 + ... + 501789339.

It is an arithmetic number, because the mean of its divisors is an integer number (8108957813424).

Almost surely, 2242744400569904 is an apocalyptic number.

242744400569904 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

242744400569904 is an abundant number, since it is smaller than the sum of its proper divisors (405972224504016).

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

242744400569904 is a wasteful number, since it uses less digits than its factorization.

242744400569904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 844338 (or 844332 counting only the distinct ones).

The product of its (nonzero) digits is 69672960, while the sum is 60.

The spelling of 242744400569904 in words is "two hundred forty-two trillion, seven hundred forty-four billion, four hundred million, five hundred sixty-nine thousand, nine hundred four".

Divisors: 1 2 3 4 6 8 12 16 24 29 48 58 87 116 174 232 348 464 696 1392 360307 483991 720614 967982 1080921 1441228 1451973 1935964 2161842 2882456 2903946 3871928 4323684 5764912 5807892 7743856 8647368 10448903 11615784 14035739 17294736 20897806 23231568 28071478 31346709 41795612 42107217 56142956 62693418 83591224 84214434 112285912 125386836 167182448 168428868 224571824 250773672 336857736 501547344 673715472 174385345237 348770690474 523156035711 697541380948 1046312071422 1395082761896 2092624142844 2790165523792 4185248285688 5057175011873 8370496571376 10114350023746 15171525035619 20228700047492 30343050071238 40457400094984 60686100142476 80914800189968 121372200284952 242744400569904