Search a number
-
+
14221041312 = 2532316738567
BaseRepresentation
bin11010011111010001…
…11101111010100000
31100201002101202020210
431033220331322200
5213111041310222
610311050134120
71012260566562
oct151750757240
940632352223
1014221041312
116038452905
12290a721340
13145835255a
1498c9b5332
15583746d0c
hex34fa3dea0

14221041312 has 96 divisors (see below), whose sum is σ = 39187556352. Its totient is φ = 4506977024.

The previous prime is 14221041311. The next prime is 14221041337. The reversal of 14221041312 is 21314012241.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×142210413122 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (14221041311) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 349453 + ... + 388019.

It is an arithmetic number, because the mean of its divisors is an integer number (408203712).

Almost surely, 214221041312 is an apocalyptic number.

14221041312 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 14221041312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19593778176).

14221041312 is an abundant number, since it is smaller than the sum of its proper divisors (24966515040).

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

14221041312 is a wasteful number, since it uses less digits than its factorization.

14221041312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38770 (or 38762 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

Adding to 14221041312 its reverse (21314012241), we get a palindrome (35535053553).

The spelling of 14221041312 in words is "fourteen billion, two hundred twenty-one million, forty-one thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 23 24 32 46 48 69 92 96 138 167 184 276 334 368 501 552 668 736 1002 1104 1336 2004 2208 2672 3841 4008 5344 7682 8016 11523 15364 16032 23046 30728 38567 46092 61456 77134 92184 115701 122912 154268 184368 231402 308536 368736 462804 617072 887041 925608 1234144 1774082 1851216 2661123 3548164 3702432 5322246 6440689 7096328 10644492 12881378 14192656 19322067 21288984 25762756 28385312 38644134 42577968 51525512 77288268 85155936 103051024 148135847 154576536 206102048 296271694 309153072 444407541 592543388 618306144 888815082 1185086776 1777630164 2370173552 3555260328 4740347104 7110520656 14221041312