Search a number
-
+
21214221442344 = 23367519650731
BaseRepresentation
bin1001101001011010100100…
…01000100001110100101000
32210010001121120022202000000
410310231102020201310220
510240033211142123334
6113041402341343000
74316451120004650
oct464552210416450
983101546282000
1021214221442344
11683999aa50267
12246755ba07a60
13bab653031688
14534ab9423360
1526bc6d347299
hex134b52221d28

21214221442344 has 112 divisors (see below), whose sum is σ = 68157390009120. Its totient is φ = 6061206114720.

The previous prime is 21214221442289. The next prime is 21214221442363. The reversal of 21214221442344 is 44324412241212.

21214221442344 is a `hidden beast` number, since 2 + 1 + 2 + 1 + 4 + 221 + 4 + 423 + 4 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 21214221442299 and 21214221442308.

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 259784542 + ... + 259866189.

Almost surely, 221214221442344 is an apocalyptic number.

21214221442344 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

21214221442344 is an abundant number, since it is smaller than the sum of its proper divisors (46943168566776).

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

21214221442344 is an equidigital number, since it uses as much as digits as its factorization.

21214221442344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 519650762 (or 519650743 counting only the distinct ones).

The product of its digits is 98304, while the sum is 36.

Adding to 21214221442344 its reverse (44324412241212), we get a palindrome (65538633683556).

The spelling of 21214221442344 in words is "twenty-one trillion, two hundred fourteen billion, two hundred twenty-one million, four hundred forty-two thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 36 42 54 56 63 72 81 84 108 126 162 168 189 216 243 252 324 378 486 504 567 648 729 756 972 1134 1458 1512 1701 1944 2268 2916 3402 4536 5103 5832 6804 10206 13608 20412 40824 519650731 1039301462 1558952193 2078602924 3117904386 3637555117 4157205848 4676856579 6235808772 7275110234 9353713158 10912665351 12471617544 14030569737 14550220468 18707426316 21825330702 28061139474 29100440936 32737996053 37414852632 42091709211 43650661404 56122278948 65475992106 84183418422 87301322808 98213988159 112244557896 126275127633 130951984212 168366836844 196427976318 252550255266 261903968424 294641964477 336733673688 378825382899 392855952636 505100510532 589283928954 757650765798 785711905272 883925893431 1010201021064 1178567857908 1515301531596 1767851786862 2357135715816 2651777680293 3030603063192 3535703573724 5303555360586 7071407147448 10607110721172 21214221442344