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242002222050240 = 2633528009516441
BaseRepresentation
bin110111000001100110001000…
…011110101110101111000000
31011201212012000221120202202000
4313001212020132232233000
5223204431022321101430
62214410141441024000
7101655040443114111
oct6701461036565700
91151765027522660
10242002222050240
11701226253a9463
122318579a625000
13a50593356ca22
1443a8d81b2a208
151cea076dade60
hexdc19887aebc0

242002222050240 has 112 divisors (see below), whose sum is σ = 853730061152160. Its totient is φ = 64533925877760.

The previous prime is 242002222050221. The next prime is 242002222050271. The reversal of 242002222050240 is 42050222200242.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14004749581 + ... + 14004766860.

Almost surely, 2242002222050240 is an apocalyptic number.

242002222050240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

242002222050240 is an abundant number, since it is smaller than the sum of its proper divisors (611727839101920).

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

242002222050240 is a wasteful number, since it uses less digits than its factorization.

242002222050240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28009516467 (or 28009516451 counting only the distinct ones).

The product of its (nonzero) digits is 10240, while the sum is 27.

Adding to 242002222050240 its reverse (42050222200242), we get a palindrome (284052444250482).

The spelling of 242002222050240 in words is "two hundred forty-two trillion, two billion, two hundred twenty-two million, fifty thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 32 36 40 45 48 54 60 64 72 80 90 96 108 120 135 144 160 180 192 216 240 270 288 320 360 432 480 540 576 720 864 960 1080 1440 1728 2160 2880 4320 8640 28009516441 56019032882 84028549323 112038065764 140047582205 168057098646 224076131528 252085647969 280095164410 336114197292 420142746615 448152263056 504171295938 560190328820 672228394584 756256943907 840285493230 896304526112 1008342591876 1120380657640 1260428239845 1344456789168 1512513887814 1680570986460 1792609052224 2016685183752 2240761315280 2520856479690 2688913578336 3025027775628 3361141972920 3781284719535 4033370367504 4481522630560 5041712959380 5377827156672 6050055551256 6722283945840 7562569439070 8066740735008 8963045261120 10083425918760 12100111102512 13444567891680 15125138878140 16133481470016 20166851837520 24200222205024 26889135783360 30250277756280 40333703675040 48400444410048 60500555512560 80667407350080 121001111025120 242002222050240