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214132202231412 = 22347379667025233
BaseRepresentation
bin110000101100000010001001…
…110110010101011001110100
31001002011211122100101012112010
4300230002021312111121310
5211031320222232401122
62035230550425124220
763050353406264313
oct6054021166253164
91032154570335463
10214132202231412
1162257a58821123
1220024309329670
13926377041a85a
143ac40a7c1a27a
1519b510b30de0c
hexc2c089d95674

214132202231412 has 24 divisors (see below), whose sum is σ = 510272481914496. Its totient is φ = 69858732642688.

The previous prime is 214132202231401. The next prime is 214132202231429.

214132202231412 is nontrivially palindromic in base 10.

It is a super-3 number, since 3×2141322022314123 (a number of 44 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 214132202231412.

It is a congruent number.

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, 189833512053 + ... + 189833513180.

It is an arithmetic number, because the mean of its divisors is an integer number (21261353413104).

Almost surely, 2214132202231412 is an apocalyptic number.

It is an amenable number.

214132202231412 is an abundant number, since it is smaller than the sum of its proper divisors (296140279683084).

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

214132202231412 is a wasteful number, since it uses less digits than its factorization.

214132202231412 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 379667025287 (or 379667025285 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 30.

It can be divided in two parts, 21413220 and 2231412, that added together give a palindrome (23644632).

The spelling of 214132202231412 in words is "two hundred fourteen trillion, one hundred thirty-two billion, two hundred two million, two hundred thirty-one thousand, four hundred twelve".

Divisors: 1 2 3 4 6 12 47 94 141 188 282 564 379667025233 759334050466 1139001075699 1518668100932 2278002151398 4556004302796 17844350185951 35688700371902 53533050557853 71377400743804 107066101115706 214132202231412