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114385286146608 = 2433299130370861
BaseRepresentation
bin11010000000100001100110…
…010110010010101000110000
3120000000010102021002122201000
4122000201212112102220300
5104443042031223142413
61043135513001042000
733044031010655151
oct3200414626225060
9500003367078630
10114385286146608
11334a0589014344
12109b4774a86300
134ba96422494a9
1420363c5227928
15d35655476073
hex680866592a30

114385286146608 has 80 divisors (see below), whose sum is σ = 339649796066400. Its totient is φ = 36813655307520.

The previous prime is 114385286146597. The next prime is 114385286146609. The reversal of 114385286146608 is 806641682583411.

114385286146608 is a `hidden beast` number, since 1 + 1 + 4 + 3 + 8 + 5 + 2 + 8 + 6 + 14 + 6 + 608 = 666.

It is not an unprimeable number, because it can be changed into a prime (114385286146609) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4565172903 + ... + 4565197958.

It is an arithmetic number, because the mean of its divisors is an integer number (4245622450830).

Almost surely, 2114385286146608 is an apocalyptic number.

114385286146608 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

114385286146608 is an abundant number, since it is smaller than the sum of its proper divisors (225264509919792).

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

114385286146608 is a wasteful number, since it uses less digits than its factorization.

114385286146608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9130370907 (or 9130370895 counting only the distinct ones).

The product of its (nonzero) digits is 53084160, while the sum is 63.

The spelling of 114385286146608 in words is "one hundred fourteen trillion, three hundred eighty-five billion, two hundred eighty-six million, one hundred forty-six thousand, six hundred eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 29 36 48 54 58 72 87 108 116 144 174 216 232 261 348 432 464 522 696 783 1044 1392 1566 2088 3132 4176 6264 12528 9130370861 18260741722 27391112583 36521483444 54782225166 73042966888 82173337749 109564450332 146085933776 164346675498 219128900664 246520013247 264780754969 328693350996 438257801328 493040026494 529561509938 657386701992 794342264907 986080052988 1059123019876 1314773403984 1588684529814 1972160105976 2118246039752 2383026794721 3177369059628 3944320211952 4236492079504 4766053589442 6354738119256 7149080384163 9532107178884 12709476238512 14298160768326 19064214357768 28596321536652 38128428715536 57192643073304 114385286146608