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1442113131123 = 3373414780809
BaseRepresentation
bin10100111111000100101…
…001000001001001110011
312002212100100021111221000
4110333010221001021303
5142111421430143443
63022255253133043
7206121623235000
oct24770451011163
95085310244830
101442113131123
115066622a2a95
121b35a892a183
13a5cb56c4082
144db276c08a7
15277a54048d3
hex14fc4a41273

1442113131123 has 128 divisors (see below), whose sum is σ = 2606607360000. Its totient is φ = 786850122240.

The previous prime is 1442113131101. The next prime is 1442113131143. The reversal of 1442113131123 is 3211313112441.

1442113131123 is a `hidden beast` number, since 14 + 4 + 211 + 313 + 1 + 123 = 666.

It is not a de Polignac number, because 1442113131123 - 28 = 1442113130867 is a prime.

It is a super-2 number, since 2×14421131311232 (a number of 25 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (1442113131143) 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 127 ways as a sum of consecutive naturals, for example, 17805543 + ... + 17886351.

It is an arithmetic number, because the mean of its divisors is an integer number (20364120000).

Almost surely, 21442113131123 is an apocalyptic number.

1442113131123 is a deficient number, since it is larger than the sum of its proper divisors (1164494228877).

1442113131123 is an equidigital number, since it uses as much as digits as its factorization.

1442113131123 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80927 (or 80907 counting only the distinct ones).

The product of its digits is 1728, while the sum is 27.

Adding to 1442113131123 its reverse (3211313112441), we get a palindrome (4653426243564).

The spelling of 1442113131123 in words is "one trillion, four hundred forty-two billion, one hundred thirteen million, one hundred thirty-one thousand, one hundred twenty-three".

Divisors: 1 3 7 9 21 27 41 47 49 63 123 141 147 189 287 329 343 369 423 441 861 987 1029 1107 1269 1323 1927 2009 2303 2583 2961 3087 5781 6027 6909 7749 8883 9261 13489 14063 16121 17343 18081 20727 40467 42189 48363 52029 54243 62181 80809 94423 121401 126567 145089 242427 283269 364203 379701 435267 565663 660961 727281 849807 1696989 1982883 2181843 2549421 3313169 3798023 3959641 5090967 5948649 9939507 11394069 11878923 15272901 17845947 23192183 26586161 27717487 29818521 34182207 35636769 69576549 79758483 83152461 89455563 102546621 106910307 155718943 162345281 186103127 208729647 239275449 249457383 467156829 487035843 558309381 626188941 717826347 748372149 1090032601 1136416967 1302721889 1401470487 1461107529 1674928143 3270097803 3409250901 3908165667 4204411461 4383322587 5024784429 7630228207 9810293409 10227752703 11724497001 22890684621 29430880227 30683258109 35173491003 53411597449 68672053863 160234792347 206016161589 480704377041 1442113131123