Search a number
-
+
21414644641412 = 22115983191520349
BaseRepresentation
bin1001101111001111111000…
…10010010110111010000100
32210211012221101221011110222
410313213330102112322010
510301324143012011122
6113313430230203512
74340104600045331
oct467477422267204
983735841834428
1021414644641412
116906999692160
12249a3751b3598
13bc4513c256a9
1454068d7c7988
1527209da13b42
hex1379fc496e84

21414644641412 has 96 divisors (see below), whose sum is σ = 42296712192000. Its totient is φ = 9404145334400.

The previous prime is 21414644641343. The next prime is 21414644641417.

21414644641412 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is not an unprimeable number, because it can be changed into a prime (21414644641417) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 40894214 + ... + 41414562.

It is an arithmetic number, because the mean of its divisors is an integer number (440590752000).

Almost surely, 221414644641412 is an apocalyptic number.

21414644641412 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

21414644641412 is a deficient number, since it is larger than the sum of its proper divisors (20882067550588).

21414644641412 is a wasteful number, since it uses less digits than its factorization.

21414644641412 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 520697 (or 520695 counting only the distinct ones).

The product of its digits is 589824, while the sum is 44.

It can be divided in two parts, 2141464 and 4641412, that added together give a palindrome (6782876).

The spelling of 21414644641412 in words is "twenty-one trillion, four hundred fourteen billion, six hundred forty-four million, six hundred forty-one thousand, four hundred twelve".

Divisors: 1 2 4 11 22 44 59 83 118 166 191 236 332 382 649 764 913 1298 1826 2101 2596 3652 4202 4897 8404 9794 11269 15853 19588 22538 31706 45076 53867 63412 107734 123959 174383 215468 247918 348766 495836 520349 697532 935327 1040698 1870654 2081396 3741308 5723839 10288597 11447678 20577194 22895356 30700591 41154388 43188967 61401182 86377934 99386659 122802364 172755868 198773318 337706501 397546636 475078637 675413002 950157274 1093253249 1350826004 1900314548 2186506498 2548149053 4373012996 5096298106 5863812881 8249092697 10192596212 11727625762 16498185394 23455251524 28029639583 32996370788 56059279166 64501941691 90740019667 112118558332 129003883382 181480039334 258007766764 362960078668 486696469123 973392938246 1946785876492 5353661160353 10707322320706 21414644641412