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22441314241401 = 3111939898972567
BaseRepresentation
bin1010001101001000001101…
…00100000100101101111001
32221110100221202220122101120
411012210012210010231321
510420134302421211101
6115421221502535453
74504221454465236
oct506440644045571
987410852818346
1022441314241401
117172342933280
12262533a897589
13c6a28c5bbc13
14578245c2878d
1528db3b7e8b36
hex146906904b79

22441314241401 has 32 divisors (see below), whose sum is σ = 34368524467200. Its totient is φ = 12881733554880.

The previous prime is 22441314241397. The next prime is 22441314241421. The reversal of 22441314241401 is 10414241314422.

It is not a de Polignac number, because 22441314241401 - 22 = 22441314241397 is a prime.

It is a super-2 number, since 2×224413142414012 (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (22441314241421) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1985181 + ... + 6987386.

It is an arithmetic number, because the mean of its divisors is an integer number (1074016389600).

Almost surely, 222441314241401 is an apocalyptic number.

It is an amenable number.

22441314241401 is a deficient number, since it is larger than the sum of its proper divisors (11927210225799).

22441314241401 is a wasteful number, since it uses less digits than its factorization.

22441314241401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8976589.

The product of its (nonzero) digits is 24576, while the sum is 33.

Adding to 22441314241401 its reverse (10414241314422), we get a palindrome (32855555555823).

The spelling of 22441314241401 in words is "twenty-two trillion, four hundred forty-one billion, three hundred fourteen million, two hundred forty-one thousand, four hundred one".

Divisors: 1 3 11 19 33 57 209 627 3989 11967 43879 75791 131637 227373 833701 2501103 8972567 26917701 98698237 170478773 296094711 511436319 1875266503 5625799509 35791569763 107374709289 393707267393 680039825497 1181121802179 2040119476491 7480438080467 22441314241401