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242286041856 = 283535952389
BaseRepresentation
bin1110000110100101011…
…1111001101100000000
3212011101022221011212210
43201221113321230000
512432200211314411
6303145450422120
723335034242605
oct3415127715400
9764338834783
10242286041856
1193831177331
123ab59131940
1319b02b9a511
14ba261266ac
1564809c1ca6
hex38695f9b00

242286041856 has 72 divisors (see below), whose sum is σ = 657000998640. Its totient is φ = 79238189056.

The previous prime is 242286041821. The next prime is 242286041863. The reversal of 242286041856 is 658140682242.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2935491 + ... + 3016898.

It is an arithmetic number, because the mean of its divisors is an integer number (9125013870).

Almost surely, 2242286041856 is an apocalyptic number.

It is an amenable number.

242286041856 is an abundant number, since it is smaller than the sum of its proper divisors (414714956784).

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

242286041856 is an equidigital number, since it uses as much as digits as its factorization.

242286041856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5952461 (or 5952447 counting only the distinct ones).

The product of its (nonzero) digits is 1474560, while the sum is 48.

The spelling of 242286041856 in words is "two hundred forty-two billion, two hundred eighty-six million, forty-one thousand, eight hundred fifty-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 53 64 96 106 128 159 192 212 256 318 384 424 636 768 848 1272 1696 2544 3392 5088 6784 10176 13568 20352 40704 5952389 11904778 17857167 23809556 35714334 47619112 71428668 95238224 142857336 190476448 285714672 315476617 380952896 571429344 630953234 761905792 946429851 1142858688 1261906468 1523811584 1892859702 2285717376 2523812936 3785719404 4571434752 5047625872 7571438808 10095251744 15142877616 20190503488 30285755232 40381006976 60571510464 80762013952 121143020928 242286041856