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21444024252231 = 34744238550791
BaseRepresentation
bin1001110000000110100110…
…11100101011011101000111
32210221000202220212000220000
410320003103130223131013
510302314330202032411
6113335125421212343
74342164624445350
oct470032334533507
983830686760800
1021444024252231
1169183a5711659
1224a3bb44010b3
13bc72169035a9
14541c7969cd27
15272c1ce43956
hex1380d372b747

21444024252231 has 40 divisors (see below), whose sum is σ = 36618185286144. Its totient is φ = 12250956255120.

The previous prime is 21444024252179. The next prime is 21444024252241. The reversal of 21444024252231 is 13225242044412.

21444024252231 is a `hidden beast` number, since 2 + 1 + 4 + 4 + 4 + 0 + 2 + 425 + 223 + 1 = 666.

It is not a de Polignac number, because 21444024252231 - 222 = 21444020057927 is a prime.

It is a super-2 number, since 2×214440242522312 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21444024252241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1767555 + ... + 6783236.

Almost surely, 221444024252231 is an apocalyptic number.

21444024252231 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

21444024252231 is a deficient number, since it is larger than the sum of its proper divisors (15174161033913).

21444024252231 is an equidigital number, since it uses as much as digits as its factorization.

21444024252231 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8555233 (or 8555224 counting only the distinct ones).

The product of its (nonzero) digits is 122880, while the sum is 36.

Adding to 21444024252231 its reverse (13225242044412), we get a palindrome (34669266296643).

The spelling of 21444024252231 in words is "twenty-one trillion, four hundred forty-four billion, twenty-four million, two hundred fifty-two thousand, two hundred thirty-one".

Divisors: 1 3 7 9 21 27 63 81 189 567 4423 13269 30961 39807 92883 119421 278649 358263 835947 2507841 8550791 25652373 59855537 76957119 179566611 230871357 538699833 692614071 1616099499 4848298497 37820148593 113460445779 264741040151 340381337337 794223120453 1021144012011 2382669361359 3063432036033 7148008084077 21444024252231