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242000143312312 = 23711859745697031
BaseRepresentation
bin110111000001100100001100…
…100100111110010110111000
31011201211222200002001221101101
4313001210030210332112320
5223204412243141443222
62214405155302301144
7101654635102123510
oct6701441444762670
91151758602057341
10242000143312312
1170121758a72930
12231852ba4277b4
13a5056919b7898
1443a8c25a16840
151ce9ea4646927
hexdc190c93e5b8

242000143312312 has 64 divisors (see below), whose sum is σ = 565780436835840. Its totient is φ = 94274800771200.

The previous prime is 242000143312267. The next prime is 242000143312337. The reversal of 242000143312312 is 213213341000242.

It is a Harshad number since it is a multiple of its sum of digits (28).

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, 17552764 + ... + 28144267.

It is an arithmetic number, because the mean of its divisors is an integer number (8840319325560).

Almost surely, 2242000143312312 is an apocalyptic number.

242000143312312 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

242000143312312 is an abundant number, since it is smaller than the sum of its proper divisors (323780293523528).

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

242000143312312 is a wasteful number, since it uses less digits than its factorization.

242000143312312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45705652 (or 45705648 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 28.

Adding to 242000143312312 its reverse (213213341000242), we get a palindrome (455213484312554).

The spelling of 242000143312312 in words is "two hundred forty-two trillion, one hundred forty-three million, three hundred twelve thousand, three hundred twelve".

Divisors: 1 2 4 7 8 11 14 22 28 44 56 77 88 154 308 616 8597 17194 34388 60179 68776 94567 120358 189134 240716 378268 481432 661969 756536 1323938 2647876 5295752 45697031 91394062 182788124 319879217 365576248 502667341 639758434 1005334682 1279516868 2010669364 2559033736 3518671387 4021338728 7037342774 14074685548 28149371096 392857375507 785714751014 1571429502028 2750001628549 3142859004056 4321431130577 5500003257098 8642862261154 11000006514196 17285724522308 22000013028392 30250017914039 34571449044616 60500035828078 121000071656156 242000143312312