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302142045141 = 32613896172293
BaseRepresentation
bin1000110010110010001…
…00011011101111010101
31001212212210120012021100
410121121010123233111
514422241330421031
6350445132340313
730554235003036
oct4313104335725
91055783505240
10302142045141
11107157342542
124a682914699
132265184b141
14108a3814a8d
157cd577dde6
hex465911bbd5

302142045141 has 48 divisors (see below), whose sum is σ = 445637303280. Its totient is φ = 197210280960.

The previous prime is 302142045113. The next prime is 302142045169. The reversal of 302142045141 is 141540241203.

302142045141 is a `hidden beast` number, since 3 + 0 + 2 + 142 + 0 + 4 + 514 + 1 = 666.

It is an interprime number because it is at equal distance from previous prime (302142045113) and next prime (302142045169).

It can be written as a sum of positive squares in 8 ways, for example, as 172503162225 + 129638882916 = 415335^2 + 360054^2 .

It is not a de Polignac number, because 302142045141 - 219 = 302141520853 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (302142045181) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 131765991 + ... + 131768283.

It is an arithmetic number, because the mean of its divisors is an integer number (9284110485).

Almost surely, 2302142045141 is an apocalyptic number.

It is an amenable number.

302142045141 is a deficient number, since it is larger than the sum of its proper divisors (143495258139).

302142045141 is a wasteful number, since it uses less digits than its factorization.

302142045141 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3366 (or 3363 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

Adding to 302142045141 its reverse (141540241203), we get a palindrome (443682286344).

The spelling of 302142045141 in words is "three hundred two billion, one hundred forty-two million, forty-five thousand, one hundred forty-one".

Divisors: 1 3 9 61 183 389 549 617 1167 1851 2293 3501 5553 6879 20637 23729 37637 71187 112911 139873 213561 240013 338733 419619 720039 891977 1258857 1414781 2160117 2675931 4244343 8027793 12733029 14640793 43922379 54410597 86301641 131767137 163231791 258904923 489695373 550349809 776714769 1651049427 4953148281 33571338349 100714015047 302142045141