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114240135255141 = 37195346567116009
BaseRepresentation
bin11001111110011010011010…
…101011100101010001100101
3112222111020202110002101012210
4121332122122223211101211
5104433202244111131031
61042545105453434033
733030402022516440
oct3176323253452145
9488436673071183
10114240135255141
1133444a73132205
121099060619b919
134b98a4c4a702c
14202d37589a657
15d319ac444746
hex67e69aae5465

114240135255141 has 64 divisors (see below), whose sum is σ = 186705343180800. Its totient is φ = 60675584426496.

The previous prime is 114240135255101. The next prime is 114240135255187. The reversal of 114240135255141 is 141552531042411.

It is not a de Polignac number, because 114240135255141 - 211 = 114240135253093 is a prime.

It is a super-5 number, since 5×1142401352551415 (a number of 71 digits) contains 55555 as substring. Note that it is a super-d number also for d = 2.

It is a self number, because there is not a number n which added to its sum of digits gives 114240135255141.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114240135255101) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 984694345 + ... + 984810353.

It is an arithmetic number, because the mean of its divisors is an integer number (2917270987200).

Almost surely, 2114240135255141 is an apocalyptic number.

It is an amenable number.

114240135255141 is a deficient number, since it is larger than the sum of its proper divisors (72465207925659).

114240135255141 is a wasteful number, since it uses less digits than its factorization.

114240135255141 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 162658.

The product of its (nonzero) digits is 96000, while the sum is 39.

Adding to 114240135255141 its reverse (141552531042411), we get a palindrome (255792666297552).

The spelling of 114240135255141 in words is "one hundred fourteen trillion, two hundred forty billion, one hundred thirty-five million, two hundred fifty-five thousand, one hundred forty-one".

Divisors: 1 3 7 19 21 53 57 133 159 371 399 1007 1113 3021 7049 21147 46567 116009 139701 325969 348027 812063 884773 977907 2204171 2436189 2468051 2654319 6148477 6193411 6612513 7404153 15429197 17276357 18445431 18580233 43039339 46287591 46892969 51829071 116821063 129118017 140678907 328250783 350463189 817747441 984752349 2453242323 5402191103 16206573309 37815337721 102641630957 113446013163 286316128459 307924892871 718491416699 858948385377 2004212899213 2155474250097 5440006440721 6012638697639 16320019322163 38080045085047 114240135255141