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114765377427 = 32414767283349
BaseRepresentation
bin110101011100010001…
…1001010111110010011
3101222020012022020021100
41222320203022332103
53340014414034202
6124420020155443
711201664420051
oct1527043127623
9358205266240
10114765377427
1144743077768
121a2aa838b83
13aa8c86b46c
1457aa04d1d1
152eba65641c
hex1ab88caf93

114765377427 has 96 divisors (see below), whose sum is σ = 177145113600. Its totient is φ = 71505815040.

The previous prime is 114765377411. The next prime is 114765377429. The reversal of 114765377427 is 724773567411.

114765377427 is a `hidden beast` number, since 1 + 14 + 7 + 6 + 537 + 74 + 27 = 666.

It is not a de Polignac number, because 114765377427 - 24 = 114765377411 is a prime.

It is a super-2 number, since 2×1147653774272 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (114765377429) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 328840449 + ... + 328840797.

It is an arithmetic number, because the mean of its divisors is an integer number (1845261600).

Almost surely, 2114765377427 is an apocalyptic number.

114765377427 is a deficient number, since it is larger than the sum of its proper divisors (62379736173).

114765377427 is a wasteful number, since it uses less digits than its factorization.

114765377427 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 793 (or 790 counting only the distinct ones).

The product of its digits is 6914880, while the sum is 54.

The spelling of 114765377427 in words is "one hundred fourteen billion, seven hundred sixty-five million, three hundred seventy-seven thousand, four hundred twenty-seven".

Divisors: 1 3 9 41 47 67 123 141 201 283 349 369 423 603 849 1047 1927 2547 2747 3141 3149 5781 8241 9447 11603 13301 14309 16403 17343 18961 23383 24723 28341 34809 39903 42927 49209 56883 70149 98767 104427 119709 128781 129109 147627 170649 210447 296301 387327 545341 672523 777401 888903 891167 958703 1099001 1161981 1636023 2017569 2332203 2673501 2876109 3297003 4049447 4642049 4908069 6052707 6617389 6996609 8020503 8628327 9891009 12148341 13926147 19852167 36445023 36537847 41778441 45059041 59556501 109613541 135177123 190324009 271312949 311017283 328840623 405531369 570972027 813938847 933051849 1712916081 2441816541 2799155547 12751708603 38255125809 114765377427