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614012016232341 = 3355967406332049
BaseRepresentation
bin1000101110011100001101000…
…0000111011000011110010101
32222112000222100010110222102000
42023213003100013120132111
51120434433102123413331
610013521120505105513
7243221622105132126
oct21347032007303625
92875028303428360
10614012016232341
111687090409a2861
1258a47785a88299
132047c11408990c
14ab8a4a954204d
154aebcdce960e6
hex22e70d01d8795

614012016232341 has 16 divisors (see below), whose sum is σ = 909663686976000. Its totient is φ = 409334029170624.

The previous prime is 614012016232337. The next prime is 614012016232361. The reversal of 614012016232341 is 143232610210416.

614012016232341 is a `hidden beast` number, since 6 + 1 + 4 + 0 + 1 + 2 + 0 + 1 + 623 + 23 + 4 + 1 = 666.

It is not a de Polignac number, because 614012016232341 - 22 = 614012016232337 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 614012016232296 and 614012016232305.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (614012016232361) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 201654916 + ... + 204677133.

It is an arithmetic number, because the mean of its divisors is an integer number (56853980436000).

Almost surely, 2614012016232341 is an apocalyptic number.

It is an amenable number.

614012016232341 is a deficient number, since it is larger than the sum of its proper divisors (295651670743659).

614012016232341 is a wasteful number, since it uses less digits than its factorization.

614012016232341 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 406388025 (or 406388019 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

Adding to 614012016232341 its reverse (143232610210416), we get a palindrome (757244626442757).

The spelling of 614012016232341 in words is "six hundred fourteen trillion, twelve billion, sixteen million, two hundred thirty-two thousand, three hundred forty-one".

Divisors: 1 3 9 27 55967 167901 503703 1511109 406332049 1218996147 3656988441 10970965323 22741185786383 68223557359149 204670672077447 614012016232341