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302414140431 = 321315111710613
BaseRepresentation
bin1000110011010010100…
…10011001010000001111
31001220120202120001211200
410121221102121100033
514423321004443211
6350532132320543
730564050531544
oct4315122312017
91056522501750
10302414140431
11107286997787
124a739a73153
1322696028880
14108cba02bcb
157cee5c9b56
hex466949940f

302414140431 has 24 divisors (see below), whose sum is σ = 470733602976. Its totient is φ = 185977736640.

The previous prime is 302414140421. The next prime is 302414140453. The reversal of 302414140431 is 134041414203.

302414140431 is a `hidden beast` number, since 3 + 0 + 241 + 414 + 0 + 4 + 3 + 1 = 666.

It is not a de Polignac number, because 302414140431 - 29 = 302414139919 is a prime.

It is a super-2 number, since 2×3024141404312 (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 302414140395 and 302414140404.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (302414140421) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 678520 + ... + 1032093.

It is an arithmetic number, because the mean of its divisors is an integer number (19613900124).

Almost surely, 2302414140431 is an apocalyptic number.

302414140431 is a deficient number, since it is larger than the sum of its proper divisors (168319462545).

302414140431 is a wasteful number, since it uses less digits than its factorization.

302414140431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1712143 (or 1712140 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 302414140431 its reverse (134041414203), we get a palindrome (436455554634).

The spelling of 302414140431 in words is "three hundred two billion, four hundred fourteen million, one hundred forty thousand, four hundred thirty-one".

Divisors: 1 3 9 13 39 117 1511 4533 13599 19643 58929 176787 1710613 5131839 15395517 22237969 66713907 200141721 2584736243 7754208729 23262626187 33601571159 100804713477 302414140431