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114303440134143 = 3513233343470593
BaseRepresentation
bin11001111111010101010111…
…111100100001111111111111
3112222201022011021101102200000
4121333111113330201333333
5104440221421133243033
61043034135301005343
733035102542230051
oct3177252774417777
9488638137342600
10114303440134143
11334698a9086827
12109a09329b3853
134ba19ca834210
14203245d2398d1
15d33464db0a13
hex67f557f21fff

114303440134143 has 96 divisors (see below), whose sum is σ = 192465687558144. Its totient is φ = 67262023268352.

The previous prime is 114303440134099. The next prime is 114303440134207. The reversal of 114303440134143 is 341431044303411.

114303440134143 is a `hidden beast` number, since 1 + 1 + 4 + 303 + 4 + 4 + 0 + 1 + 341 + 4 + 3 = 666.

It is not a de Polignac number, because 114303440134143 - 234 = 114286260264959 is a prime.

It is a super-2 number, since 2×1143034401341432 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 114303440134098 and 114303440134107.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114303440138143) 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, 242657055 + ... + 243127647.

It is an arithmetic number, because the mean of its divisors is an integer number (2004850912064).

Almost surely, 2114303440134143 is an apocalyptic number.

114303440134143 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

114303440134143 is a deficient number, since it is larger than the sum of its proper divisors (78162247424001).

114303440134143 is a wasteful number, since it uses less digits than its factorization.

114303440134143 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 473987 (or 473975 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 36.

Adding to 114303440134143 its reverse (341431044303411), we get a palindrome (455734484437554).

The spelling of 114303440134143 in words is "one hundred fourteen trillion, three hundred three billion, four hundred forty million, one hundred thirty-four thousand, one hundred forty-three".

Divisors: 1 3 9 13 23 27 39 69 81 117 207 243 299 351 621 897 1053 1863 2691 3159 3343 5589 8073 10029 24219 30087 43459 72657 76889 90261 130377 230667 270783 391131 470593 692001 812349 999557 1173393 1411779 2076003 2998671 3520179 4235337 6117709 6228009 8996013 10560537 10823639 12706011 18353127 18684027 26988039 32470917 38118033 55059381 80964117 97412751 114354099 140707307 165178143 242892351 292238253 422121921 495534429 876714759 1266365763 1486603287 1573192399 2630144277 3799097289 4719577197 11397291867 14158731591 20451501187 34191875601 36183425177 42476194773 61354503561 108550275531 127428584319 184063510683 325650826593 382285752957 470384527301 552190532049 976952479779 1411153581903 1656571596147 2930857439337 4233460745709 4969714788441 8792572318011 12700382237127 38101146711381 114303440134143