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312412000214214 = 232487186119150489
BaseRepresentation
bin100011100001000110001011…
…0010010111101110011000110
31111222011021222110010002211200
41013002030112102331303012
5311422024234023323324
63024240031440443330
7122543010413521635
oct10702142622756306
91458137873102750
10312412000214214
11905a920461422a
122b057656919546
131054242c640bb4
145720b7024d51c
15261b84693bec9
hex11c23164bdcc6

312412000214214 has 48 divisors (see below), whose sum is σ = 678647098016160. Its totient is φ = 103867650794880.

The previous prime is 312412000214189. The next prime is 312412000214407. The reversal of 312412000214214 is 412412000214213.

312412000214214 is a `hidden beast` number, since 3 + 1 + 241 + 200 + 0 + 2 + 1 + 4 + 214 = 666.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

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, 6738282 + ... + 25888770.

It is an arithmetic number, because the mean of its divisors is an integer number (14138481208670).

Almost surely, 2312412000214214 is an apocalyptic number.

312412000214214 is an abundant number, since it is smaller than the sum of its proper divisors (366235097801946).

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

312412000214214 is a wasteful number, since it uses less digits than its factorization.

312412000214214 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19152845 (or 19152842 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

Adding to 312412000214214 its reverse (412412000214213), we get a palindrome (724824000428427).

Subtracting 312412000214214 from its reverse (412412000214213), we obtain a palindrome (99999999999999).

The spelling of 312412000214214 in words is "three hundred twelve trillion, four hundred twelve billion, two hundred fourteen thousand, two hundred fourteen".

Divisors: 1 2 3 6 9 18 487 974 1461 1861 2922 3722 4383 5583 8766 11166 16749 33498 906307 1812614 2718921 5437842 8156763 16313526 19150489 38300978 57451467 114902934 172354401 344708802 9326288143 18652576286 27978864429 35639060029 55957728858 71278120058 83936593287 106917180087 167873186574 213834360174 320751540261 641503080522 17356222234123 34712444468246 52068666702369 104137333404738 156206000107107 312412000214214