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114240053312343 = 3272118623996637
BaseRepresentation
bin11001111110011010010101…
…110010111111101101010111
3112222111020112201220020211100
4121332122111302333231113
5104433202112121443333
61042545053405241143
733030400006152240
oct3176322562775527
9488436481806740
10114240053312343
1133444a30954392
12109905a28631b3
134b98a3851657a
14202d368a49cc7
15d319a515a213
hex67e695cbfb57

114240053312343 has 48 divisors (see below), whose sum is σ = 189502694757376. Its totient is φ = 64963046675520.

The previous prime is 114240053312311. The next prime is 114240053312351. The reversal of 114240053312343 is 343213350042411.

114240053312343 is a `hidden beast` number, since 1 + 1 + 42 + 40 + 0 + 533 + 1 + 2 + 3 + 43 = 666.

It is not a de Polignac number, because 114240053312343 - 25 = 114240053312311 is a prime.

It is a super-2 number, since 2×1142400533123432 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 114240053312298 and 114240053312307.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114240053312383) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 114127221 + ... + 115123857.

Almost surely, 2114240053312343 is an apocalyptic number.

114240053312343 is a deficient number, since it is larger than the sum of its proper divisors (75262641445033).

114240053312343 is a wasteful number, since it uses less digits than its factorization.

114240053312343 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1005484 (or 1005481 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 36.

The spelling of 114240053312343 in words is "one hundred fourteen trillion, two hundred forty billion, fifty-three million, three hundred twelve thousand, three hundred forty-three".

Divisors: 1 3 7 9 21 63 211 633 1477 1899 4431 8623 13293 25869 60361 77607 181083 543249 996637 1819453 2989911 5458359 6976459 8969733 12736171 16375077 20929377 38208513 62788131 114625539 210290407 630871221 1472032849 1892613663 4416098547 8594000851 13248295641 25782002553 60158005957 77346007659 180474017871 541422053613 1813334179561 5440002538683 12693339256927 16320007616049 38080017770781 114240053312343