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22005421024144 = 24171213235728297
BaseRepresentation
bin1010000000011100010010…
…10011011010001110010000
32212220200211121220220201211
411000032021103122032100
510341014100240233034
6114445052330305504
74430560563332035
oct500161123321620
985820747826654
1022005421024144
1170144a0540568
12257496ab88294
13c381439998ac
145610d4a8738c
15282628c32d64
hex1403894da390

22005421024144 has 80 divisors (see below), whose sum is σ = 45201456461808. Its totient is φ = 10342199771136.

The previous prime is 22005421024117. The next prime is 22005421024183. The reversal of 22005421024144 is 44142012450022.

It can be written as a sum of positive squares in 8 ways, for example, as 6056580064144 + 15948840960000 = 2461012^2 + 3993600^2 .

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 777645004 + ... + 777673300.

Almost surely, 222005421024144 is an apocalyptic number.

It is an amenable number.

22005421024144 is an abundant number, since it is smaller than the sum of its proper divisors (23196035437664).

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

22005421024144 is a wasteful number, since it uses less digits than its factorization.

22005421024144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31892 (or 31886 counting only the distinct ones).

The product of its (nonzero) digits is 20480, while the sum is 31.

Adding to 22005421024144 its reverse (44142012450022), we get a palindrome (66147433474166).

The spelling of 22005421024144 in words is "twenty-two trillion, five billion, four hundred twenty-one million, twenty-four thousand, one hundred forty-four".

Divisors: 1 2 4 8 16 17 34 68 136 272 1213 2357 2426 4714 4852 9428 9704 18856 19408 20621 28297 37712 40069 41242 56594 80138 82484 113188 160276 164968 226376 320552 329936 452752 481049 641104 962098 1924196 2859041 3848392 5718082 7696784 11436164 22872328 34324261 45744656 48603697 66696029 68648522 97207394 133392058 137297044 194414788 266784116 274594088 388829576 533568232 549188176 583512437 777659152 1067136464 1133832493 1167024874 2267664986 2334049748 4535329972 4668099496 9070659944 9336198992 18141319888 80902283177 161804566354 323609132708 647218265416 1294436530832 1375338814009 2750677628018 5501355256036 11002710512072 22005421024144