Search a number
-
+
214312323213412 = 22509930631343037
BaseRepresentation
bin110000101110101001111001…
…111001010110100001100100
31001002211001120021210010212121
4300232221321321112201210
5211042243114220312122
62035445415550555324
763066361104335524
oct6056517171264144
91032731507703777
10214312323213412
1162317389385926
12200531b7508b44
139277747140c88
143accab3b09684
1519b9b4e463bc7
hexc2ea79e56864

214312323213412 has 24 divisors (see below), whose sum is σ = 375133458571200. Its totient is φ = 107131336565280.

The previous prime is 214312323213407. The next prime is 214312323213421.

214312323213412 is nontrivially palindromic in base 10.

214312323213412 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2143123232134122 (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 624578358 + ... + 624921394.

It is an arithmetic number, because the mean of its divisors is an integer number (15630560773800).

Almost surely, 2214312323213412 is an apocalyptic number.

It is an amenable number.

214312323213412 is a deficient number, since it is larger than the sum of its proper divisors (160821135357788).

214312323213412 is a wasteful number, since it uses less digits than its factorization.

214312323213412 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 378771 (or 378769 counting only the distinct ones).

The product of its digits is 41472, while the sum is 34.

The spelling of 214312323213412 in words is "two hundred fourteen trillion, three hundred twelve billion, three hundred twenty-three million, two hundred thirteen thousand, four hundred twelve".

Divisors: 1 2 4 5099 10198 20396 30631 61262 122524 343037 686074 1372148 156187469 312374938 624749876 1749145663 3498291326 6996582652 10507566347 21015132694 42030265388 53578080803353 107156161606706 214312323213412