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14414222300232 = 23347283359125777
BaseRepresentation
bin1101000111000001001010…
…0110011001010001001000
31220000222121221021000220210
43101300102212121101020
53342130311402101412
650353445144321120
73015251602663536
oct321602246312110
956028557230823
1014414222300232
11465804578a717
1217496a5a731a0
13807341c65851
1437b91b453156
1519ee311db83c
hexd1c12999448

14414222300232 has 128 divisors (see below), whose sum is σ = 37035483033600. Its totient is φ = 4672805803008.

The previous prime is 14414222300209. The next prime is 14414222300267. The reversal of 14414222300232 is 23200322241441.

It is a self number, because there is not a number n which added to its sum of digits gives 14414222300232.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 114538528 + ... + 114664304.

It is an arithmetic number, because the mean of its divisors is an integer number (289339711200).

Almost surely, 214414222300232 is an apocalyptic number.

14414222300232 is a gapful number since it is divisible by the number (12) 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 14414222300232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18517741516800).

14414222300232 is an abundant number, since it is smaller than the sum of its proper divisors (22621260733368).

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

14414222300232 is a wasteful number, since it uses less digits than its factorization.

14414222300232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126475 (or 126471 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 30.

Adding to 14414222300232 its reverse (23200322241441), we get a palindrome (37614544541673).

The spelling of 14414222300232 in words is "fourteen trillion, four hundred fourteen billion, two hundred twenty-two million, three hundred thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 24 47 94 141 188 282 283 359 376 564 566 718 849 1077 1128 1132 1436 1698 2154 2264 2872 3396 4308 6792 8616 13301 16873 26602 33746 39903 50619 53204 67492 79806 101238 101597 106408 125777 134984 159612 202476 203194 251554 304791 319224 377331 404952 406388 503108 609582 754662 812776 1006216 1219164 1509324 2438328 3018648 4775059 5911519 9550118 11823038 14325177 17734557 19100236 23646076 28650354 35469114 35594891 38200472 45153943 47292152 57300708 70938228 71189782 90307886 106784673 114601416 135461829 141876456 142379564 180615772 213569346 270923658 284759128 361231544 427138692 541847316 854277384 1083694632 1672959877 2122235321 3345919754 4244470642 5018879631 6366705963 6691839508 8488941284 10037759262 12733411926 12778565869 13383679016 16977882568 20075518524 25466823852 25557131738 38335697607 40151037048 50933647704 51114263476 76671395214 102228526952 153342790428 306685580856 600592595843 1201185191686 1801777787529 2402370383372 3603555575058 4804740766744 7207111150116 14414222300232