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214312262142330 = 232511216477032467
BaseRepresentation
bin110000101110101001110110…
…010000011000100101111010
31001002211001102000212102002200
4300232221312100120211322
5211042243003102023310
62035445405530011030
763066356433260652
oct6056516620304572
91032731360772080
10214312262142330
1162317357963260
122005319ab76a76
1392777375aa641
143accaa996d362
1519b9b48ded9c0
hexc2ea7641897a

214312262142330 has 48 divisors (see below), whose sum is σ = 607867507170144. Its totient is φ = 51954487791840.

The previous prime is 214312262142317. The next prime is 214312262142337. The reversal of 214312262142330 is 33241262213412.

214312262142330 is a `hidden beast` number, since 2 + 1 + 4 + 3 + 1 + 2 + 2 + 621 + 4 + 23 + 3 + 0 = 666.

It is not an unprimeable number, because it can be changed into a prime (214312262142337) 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 23 ways as a sum of consecutive naturals, for example, 108238515244 + ... + 108238517223.

It is an arithmetic number, because the mean of its divisors is an integer number (12663906399378).

Almost surely, 2214312262142330 is an apocalyptic number.

214312262142330 is an abundant number, since it is smaller than the sum of its proper divisors (393555245027814).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

214312262142330 is a wasteful number, since it uses less digits than its factorization.

214312262142330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 216477032491 (or 216477032488 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 36.

The spelling of 214312262142330 in words is "two hundred fourteen trillion, three hundred twelve billion, two hundred sixty-two million, one hundred forty-two thousand, three hundred thirty".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 30 33 45 55 66 90 99 110 165 198 330 495 990 216477032467 432954064934 649431097401 1082385162335 1298862194802 1948293292203 2164770324670 2381247357137 3247155487005 3896586584406 4762494714274 6494310974010 7143742071411 9741466461015 11906236785685 14287484142822 19482932922030 21431226214233 23812473571370 35718710357055 42862452428466 71437420714110 107156131071165 214312262142330