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21214024314516 = 22321124870069861
BaseRepresentation
bin1001101001011010001100…
…11000100010111010010100
32210010001002211101121110100
410310231012120202322110
510240032310211031031
6113041331020254100
74316443204312155
oct464550630427224
983101084347410
1021214024314516
1168398a974a200
1224675059a1330
13bab6212417a7
14534a9b18b92c
1526bc5ada8de6
hex134b46622e94

21214024314516 has 54 divisors (see below), whose sum is σ = 58942455539786. Its totient is φ = 6428492215200.

The previous prime is 21214024314491. The next prime is 21214024314517. The reversal of 21214024314516 is 61541342041212.

21214024314516 is a `hidden beast` number, since 2 + 1 + 214 + 0 + 2 + 431 + 4 + 5 + 1 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 17056487002500 + 4157537312016 = 4129950^2 + 2039004^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21214024314517) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 2435030575 + ... + 2435039286.

Almost surely, 221214024314516 is an apocalyptic number.

It is an amenable number.

21214024314516 is an abundant number, since it is smaller than the sum of its proper divisors (37728431225270).

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

21214024314516 is a wasteful number, since it uses less digits than its factorization.

21214024314516 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4870069893 (or 4870069877 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

Adding to 21214024314516 its reverse (61541342041212), we get a palindrome (82755366355728).

The spelling of 21214024314516 in words is "twenty-one trillion, two hundred fourteen billion, twenty-four million, three hundred fourteen thousand, five hundred sixteen".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 121 132 198 242 363 396 484 726 1089 1452 2178 4356 4870069861 9740139722 14610209583 19480279444 29220419166 43830628749 53570768471 58440838332 87661257498 107141536942 160712305413 175322514996 214283073884 321424610826 482136916239 589278453181 642849221652 964273832478 1178556906362 1767835359543 1928547664956 2357113812724 3535670719086 5303506078629 7071341438172 10607012157258 21214024314516