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114332323414120 = 23571014042868579
BaseRepresentation
bin11001111111110000010001…
…100001100000000001101000
3112222211001201012101002011021
4121333300101201200001220
5104441210044243222440
61043055313321542224
733040144362114310
oct3177602141400150
9488731635332137
10114332323414120
113348007aa25549
12109a6453944974
134ba4651743126
1420339dd232440
15d340a594e84a
hex67fc11860068

114332323414120 has 64 divisors (see below), whose sum is σ = 296908268515200. Its totient is φ = 38811538348800.

The previous prime is 114332323414117. The next prime is 114332323414121. The reversal of 114332323414120 is 21414323233411.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (114332323414121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2021406010 + ... + 2021462569.

It is an arithmetic number, because the mean of its divisors is an integer number (4639191695550).

Almost surely, 2114332323414120 is an apocalyptic number.

114332323414120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

114332323414120 is an abundant number, since it is smaller than the sum of its proper divisors (182575945101080).

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

114332323414120 is a wasteful number, since it uses less digits than its factorization.

114332323414120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4042868698 (or 4042868694 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 34.

Adding to 114332323414120 its reverse (21414323233411), we get a palindrome (135746646647531).

The spelling of 114332323414120 in words is "one hundred fourteen trillion, three hundred thirty-two billion, three hundred twenty-three million, four hundred fourteen thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 70 101 140 202 280 404 505 707 808 1010 1414 2020 2828 3535 4040 5656 7070 14140 28280 4042868579 8085737158 16171474316 20214342895 28300080053 32342948632 40428685790 56600160106 80857371580 113200320212 141500400265 161714743160 226400640424 283000800530 408329726479 566001601060 816659452958 1132003202120 1633318905916 2041648632395 2858308085353 3266637811832 4083297264790 5716616170706 8166594529580 11433232341412 14291540426765 16333189059160 22866464682824 28583080853530 57166161707060 114332323414120