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242347311780 = 223571028956081
BaseRepresentation
bin1110000110110100000…
…1101000001010100100
3212011112121020000102020
43201231001220022210
512432311402434110
6303155515543140
723336410106250
oct3415501501244
9764477200366
10242347311780
1193862815332
123ab7575aab0
1319b127a0502
14ba30315260
156486075d70
hex386d0682a4

242347311780 has 96 divisors (see below), whose sum is σ = 775600600320. Its totient is φ = 55387299840.

The previous prime is 242347311779. The next prime is 242347311803. The reversal of 242347311780 is 87113743242.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4293340 + ... + 4349420.

It is an arithmetic number, because the mean of its divisors is an integer number (8079172920).

Almost surely, 2242347311780 is an apocalyptic number.

242347311780 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

242347311780 is an abundant number, since it is smaller than the sum of its proper divisors (533253288540).

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

242347311780 is a wasteful number, since it uses less digits than its factorization.

242347311780 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66389 (or 66387 counting only the distinct ones).

The product of its (nonzero) digits is 225792, while the sum is 42.

The spelling of 242347311780 in words is "two hundred forty-two billion, three hundred forty-seven million, three hundred eleven thousand, seven hundred eighty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 60 70 84 105 140 210 420 10289 20578 30867 41156 51445 56081 61734 72023 102890 112162 123468 144046 154335 168243 205780 216069 224324 280405 288092 308670 336486 360115 392567 432138 560810 617340 672972 720230 785134 841215 864276 1080345 1121620 1177701 1440460 1570268 1682430 1962835 2160690 2355402 3364860 3925670 4321380 4710804 5888505 7851340 11777010 23554020 577017409 1154034818 1731052227 2308069636 2885087045 3462104454 4039121863 5770174090 6924208908 8078243726 8655261135 11540348180 12117365589 16156487452 17310522270 20195609315 24234731178 34621044540 40391218630 48469462356 60586827945 80782437260 121173655890 242347311780