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1443221221221 = 34132935698221
BaseRepresentation
bin10101000000000110101…
…100000010111101100101
312002222012120100022210000
4111000012230002331211
5142121204113034341
63023001235251513
7206161236654243
oct25000654027545
95088176308700
101443221221221
1150708083352a
121b3857a49b99
13a61311481a0
144dbd0927793
152781c8378b6
hex15006b02f65

1443221221221 has 80 divisors (see below), whose sum is σ = 2334065635440. Its totient is φ = 883441935360.

The previous prime is 1443221221213. The next prime is 1443221221237. The reversal of 1443221221221 is 1221221223441.

1443221221221 is a `hidden beast` number, since 1 + 4 + 432 + 2 + 1 + 2 + 2 + 1 + 221 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 40204661121 + 1403016560100 = 200511^2 + 1184490^2 .

It is not a de Polignac number, because 1443221221221 - 23 = 1443221221213 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1443221221271) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 175548891 + ... + 175557111.

It is an arithmetic number, because the mean of its divisors is an integer number (29175820443).

Almost surely, 21443221221221 is an apocalyptic number.

It is an amenable number.

1443221221221 is a deficient number, since it is larger than the sum of its proper divisors (890844414219).

1443221221221 is a wasteful number, since it uses less digits than its factorization.

1443221221221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9108 (or 9099 counting only the distinct ones).

The product of its digits is 3072, while the sum is 27.

Adding to 1443221221221 its reverse (1221221223441), we get a palindrome (2664442444662).

The spelling of 1443221221221 in words is "one trillion, four hundred forty-three billion, two hundred twenty-one million, two hundred twenty-one thousand, two hundred twenty-one".

Divisors: 1 3 9 13 27 39 81 117 293 351 569 879 1053 1707 2637 3809 5121 7397 7911 8221 11427 15363 22191 23733 24663 34281 46089 66573 73989 102843 106873 166717 199719 221967 308529 320619 500151 599157 665901 961857 1500453 2167321 2408753 2885571 4501359 4677749 6501963 7226259 8656713 13504077 14033247 19505889 21678777 31313789 42099741 58517667 60810737 65036331 93941367 126299223 175553001 182432211 195108993 281824101 378897669 547296633 845472303 1370580457 1641889899 2536416909 4111741371 4925669697 12335224113 17817545941 37005672339 53452637823 111017017017 160357913469 481073740407 1443221221221