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114300343431 = 3419139534311
BaseRepresentation
bin110101001110011010…
…1001101010010000111
3101221000210021001120000
41222130311031102013
53333041341442211
6124301525012343
711154316613601
oct1523465152207
9357023231500
10114300343431
114452462284a
121a19ab540b3
13aa17409811
14576439a171
152e8e8e8656
hex1a9cd4d487

114300343431 has 40 divisors (see below), whose sum is σ = 181024905600. Its totient is φ = 71670206160.

The previous prime is 114300343429. The next prime is 114300343439. The reversal of 114300343431 is 134343003411.

114300343431 is a `hidden beast` number, since 1 + 14 + 300 + 3 + 4 + 343 + 1 = 666.

It is not a de Polignac number, because 114300343431 - 21 = 114300343429 is a prime.

It is a super-2 number, since 2×1143003434312 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 114300343395 and 114300343404.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114300343439) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 53235 + ... + 481076.

It is an arithmetic number, because the mean of its divisors is an integer number (4525622640).

Almost surely, 2114300343431 is an apocalyptic number.

114300343431 is a deficient number, since it is larger than the sum of its proper divisors (66724562169).

114300343431 is a wasteful number, since it uses less digits than its factorization.

114300343431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 534481 (or 534472 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

Adding to 114300343431 its reverse (134343003411), we get a palindrome (248643346842).

The spelling of 114300343431 in words is "one hundred fourteen billion, three hundred million, three hundred forty-three thousand, four hundred thirty-one".

Divisors: 1 3 9 19 27 57 81 139 171 417 513 1251 1539 2641 3753 7923 11259 23769 71307 213921 534311 1602933 4808799 10151909 14426397 30455727 43279191 74269229 91367181 222807687 274101543 668423061 822304629 1411115351 2005269183 4233346053 6015807549 12700038159 38100114477 114300343431