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214325523412 = 227111366198087
BaseRepresentation
bin1100011110011011001…
…0111111001111010100
3202111012201021200020121
43013212302333033110
512002414313222122
6242243151441324
721325120614250
oct3074662771724
9674181250217
10214325523412
1182993196a50
1235655226244
13172981c4350
14a5328d3260
155895e58bc7
hex31e6cbf3d4

214325523412 has 96 divisors (see below), whose sum is σ = 503728404480. Its totient is φ = 77058933120.

The previous prime is 214325523409. The next prime is 214325523413.

214325523412 is nontrivially palindromic in base 10.

214325523412 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (214325523413) 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 31 ways as a sum of consecutive naturals, for example, 26498433 + ... + 26506519.

It is an arithmetic number, because the mean of its divisors is an integer number (5247170880).

Almost surely, 2214325523412 is an apocalyptic number.

214325523412 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 214325523412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (251864202240).

214325523412 is an abundant number, since it is smaller than the sum of its proper divisors (289402881068).

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

214325523412 is a wasteful number, since it uses less digits than its factorization.

214325523412 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14741 (or 14739 counting only the distinct ones).

The product of its digits is 57600, while the sum is 34.

It can be divided in two parts, 214325 and 523412, that added together give a palindrome (737737).

The spelling of 214325523412 in words is "two hundred fourteen billion, three hundred twenty-five million, five hundred twenty-three thousand, four hundred twelve".

Divisors: 1 2 4 7 11 13 14 22 26 28 44 52 77 91 143 154 182 286 308 364 572 1001 2002 4004 6619 8087 13238 16174 26476 32348 46333 56609 72809 86047 88957 92666 105131 113218 145618 172094 177914 185332 210262 226436 291236 344188 355828 420524 509663 602329 622699 735917 946517 1019326 1156441 1204658 1245398 1471834 1893034 2038652 2312882 2409316 2490796 2943668 3786068 4625764 6625619 8095087 13251238 16190174 26502476 32380348 53527853 107055706 214111412 374694971 588806383 695862089 749389942 1177612766 1391724178 1498779884 2355225532 2783448356 4121644681 4871034623 7654482979 8243289362 9742069246 15308965958 16486578724 19484138492 30617931916 53581380853 107162761706 214325523412