Search a number
-
+
21244224144033 = 32113767523716529
BaseRepresentation
bin1001101010010010011100…
…11011110000001010100001
32210012221001111200220101200
410311021032123300022201
510241031132340102113
6113103243431351413
74321562451525312
oct465111633601241
983187044626350
1021244224144033
11685069676a0a0
122471333822569
13bb1424b313b7
14536323d72609
1526c927306873
hex13524e6f02a1

21244224144033 has 96 divisors (see below), whose sum is σ = 34902413170560. Its totient is φ = 12337229076480.

The previous prime is 21244224144001. The next prime is 21244224144097. The reversal of 21244224144033 is 33044142244212.

21244224144033 is a `hidden beast` number, since 2 + 1 + 2 + 4 + 4 + 2 + 241 + 4 + 403 + 3 = 666.

It is not a de Polignac number, because 21244224144033 - 25 = 21244224144001 is a prime.

It is not an unprimeable number, because it can be changed into a prime (21244224144433) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1285261513 + ... + 1285278041.

It is an arithmetic number, because the mean of its divisors is an integer number (363566803860).

Almost surely, 221244224144033 is an apocalyptic number.

It is an amenable number.

21244224144033 is a deficient number, since it is larger than the sum of its proper divisors (13658189026527).

21244224144033 is a wasteful number, since it uses less digits than its factorization.

21244224144033 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21887 (or 21884 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 36.

Adding to 21244224144033 its reverse (33044142244212), we get a palindrome (54288366388245).

The spelling of 21244224144033 in words is "twenty-one trillion, two hundred forty-four billion, two hundred twenty-four million, one hundred forty-four thousand, thirty-three".

Divisors: 1 3 9 11 33 37 67 99 111 201 333 407 603 737 1221 2211 2479 3663 5237 6633 7437 15711 16529 22311 27269 47133 49587 57607 81807 148761 172821 181819 193769 245421 350879 518463 545457 581307 611573 1052637 1107443 1636371 1743921 1834719 2131459 3157911 3322329 3859669 5504157 6394377 6727303 9966987 11579007 12181873 12982523 19183131 20181909 34737021 36545619 38947569 40975391 60545727 86562373 109636857 116842707 122926173 142807753 259687119 368778519 428423259 450729301 779061357 952186103 1285269777 1352187903 2856558309 3202807801 4056563709 5799678991 8569674927 9608423403 17399036973 28825270209 35230885811 52197110919 63796468901 105692657433 191389406703 214588122667 317077972299 574168220109 643764368001 1931293104003 2360469349337 7081408048011 21244224144033