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1333344121142 = 2112172311016089
BaseRepresentation
bin10011011001110001100…
…000001011000100110110
311201110121001012022101212
4103121301200023010312
5133321142043334032
62500310235521422
7165221340013505
oct23316140130466
94643531168355
101333344121142
11474516aa5a00
121964b22b9272
139897024c137
1448769bb683c
1524a3b419bb2
hex1367180b136

1333344121142 has 144 divisors (see below), whose sum is σ = 2434886455680. Its totient is φ = 546458880000.

The previous prime is 1333344121133. The next prime is 1333344121169. The reversal of 1333344121142 is 2411214433331.

It is a super-3 number, since 3×13333441211423 (a number of 37 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1333344121099 and 1333344121108.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 218972834 + ... + 218978922.

It is an arithmetic number, because the mean of its divisors is an integer number (16908933720).

Almost surely, 21333344121142 is an apocalyptic number.

1333344121142 is a deficient number, since it is larger than the sum of its proper divisors (1101542334538).

1333344121142 is a wasteful number, since it uses less digits than its factorization.

1333344121142 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6279 (or 6251 counting only the distinct ones).

The product of its digits is 20736, while the sum is 32.

Adding to 1333344121142 its reverse (2411214433331), we get a palindrome (3744558554473).

The spelling of 1333344121142 in words is "one trillion, three hundred thirty-three billion, three hundred forty-four million, one hundred twenty-one thousand, one hundred forty-two".

Divisors: 1 2 11 17 22 31 34 62 101 121 187 202 242 289 341 374 527 578 682 1054 1111 1717 2057 2222 3131 3179 3434 3751 4114 5797 6089 6262 6358 7502 8959 11594 12178 12221 17918 18887 24442 29189 34441 34969 37774 53227 58378 63767 66979 68882 69938 98549 103513 106454 127534 133958 188759 197098 207026 207757 321079 377518 378851 415514 585497 614989 642158 736769 757702 904859 1084039 1138643 1170994 1229978 1473538 1759721 1809718 2076349 2168078 2277286 3208903 3519442 3531869 4152698 6417806 6440467 6764879 7063738 9953449 10454813 12525073 12880934 13529758 19064659 19356931 19906898 20909626 22839839 25050146 35297933 38129318 38713862 45679678 54551351 70595866 74413669 109102702 109487939 115002943 148827338 177731821 209711249 212926241 218975878 230005886 324099203 355463642 388277263 419422498 425852482 600064861 648198406 776554526 1200129722 1265032373 1955050031 2306823739 2530064746 3565091233 3910100062 4613647478 5509686451 6600713471 7130182466 11019372902 13201426942 21505550341 39216003563 43011100682 60606550961 78432007126 121213101922 666672060571 1333344121142