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21114243621424 = 24172916453162691
BaseRepresentation
bin1001100110100000010101…
…11111011010001000110000
32202202111112221102012201201
410303100022333122020300
510231413432331341144
6112523425525540544
74306311432362332
oct463201277321060
982674487365651
1021114243621424
116800556093688
1224500b9574754
13ba20abcb9165
1452dd132d7452
1526936b03e1d4
hex13340afda230

21114243621424 has 80 divisors (see below), whose sum is σ = 44811877972320. Its totient is φ = 9592847953920.

The previous prime is 21114243621421. The next prime is 21114243621437. The reversal of 21114243621424 is 42412634241112.

It is a happy number.

It is a super-2 number, since 2×211142436214242 (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (21114243621421) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 129699919 + ... + 129862609.

It is an arithmetic number, because the mean of its divisors is an integer number (560148474654).

Almost surely, 221114243621424 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21114243621424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22405938986160).

21114243621424 is an abundant number, since it is smaller than the sum of its proper divisors (23697634350896).

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

21114243621424 is a wasteful number, since it uses less digits than its factorization.

21114243621424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 179198 (or 179192 counting only the distinct ones).

The product of its digits is 73728, while the sum is 37.

Adding to 21114243621424 its reverse (42412634241112), we get a palindrome (63526877862536).

The spelling of 21114243621424 in words is "twenty-one trillion, one hundred fourteen billion, two hundred forty-three million, six hundred twenty-one thousand, four hundred twenty-four".

Divisors: 1 2 4 8 16 17 29 34 58 68 116 136 232 272 464 493 986 1972 3944 7888 16453 32906 65812 131624 162691 263248 279701 325382 477137 559402 650764 954274 1118804 1301528 1908548 2237608 2603056 2765747 3817096 4475216 4718039 5531494 7634192 8111329 9436078 11062988 16222658 18872156 22125976 32445316 37744312 44251952 64890632 75488624 80206663 129781264 160413326 320826652 641653304 1283306608 2676755023 5353510046 10707020092 21414040184 42828080368 45504835391 77625895667 91009670782 155251791334 182019341564 310503582668 364038683128 621007165336 728077366256 1242014330672 1319640226339 2639280452678 5278560905356 10557121810712 21114243621424