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1333444120140 = 22351121710804117
BaseRepresentation
bin10011011001110111011…
…101101000111001001100
311201110212000100210020110
4103121313131220321030
5133321343143321030
62500324211120020
7165223663002666
oct23316735507114
94643760323213
101333444120140
11474568496700
1219651b8a3010
1398987b92342
14487791a7536
1524a450be1b0
hex13677768e4c

1333444120140 has 144 divisors (see below), whose sum is σ = 4345329826656. Its totient is φ = 304243906560.

The previous prime is 1333444120111. The next prime is 1333444120159. The reversal of 1333444120140 is 410214443331.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 1333444120098 and 1333444120107.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5278639 + ... + 5525478.

It is an arithmetic number, because the mean of its divisors is an integer number (30175901574).

Almost surely, 21333444120140 is an apocalyptic number.

1333444120140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1333444120140 is an abundant number, since it is smaller than the sum of its proper divisors (3011885706516).

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

1333444120140 is a wasteful number, since it uses less digits than its factorization.

1333444120140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10804168 (or 10804155 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 30.

Adding to 1333444120140 its reverse (410214443331), we get a palindrome (1743658563471).

The spelling of 1333444120140 in words is "one trillion, three hundred thirty-three billion, four hundred forty-four million, one hundred twenty thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 10 11 12 15 17 20 22 30 33 34 44 51 55 60 66 68 85 102 110 121 132 165 170 187 204 220 242 255 330 340 363 374 484 510 561 605 660 726 748 935 1020 1122 1210 1452 1815 1870 2057 2244 2420 2805 3630 3740 4114 5610 6171 7260 8228 10285 11220 12342 20570 24684 30855 41140 61710 123420 10804117 21608234 32412351 43216468 54020585 64824702 108041170 118845287 129649404 162061755 183669989 216082340 237690574 324123510 356535861 367339978 475381148 551009967 594226435 648247020 713071722 734679956 918349945 1102019934 1188452870 1307298157 1426143444 1782679305 1836699890 2020369879 2204039868 2376905740 2614596314 2755049835 3565358610 3673399780 3921894471 4040739758 5229192628 5510099670 6061109637 6536490785 7130717220 7843788942 8081479516 10101849395 11020199340 12122219274 13072981570 15687577884 19609472355 20203698790 22224068669 24244438548 26145963140 30305548185 39218944710 40407397580 44448137338 60611096370 66672206007 78437889420 88896274676 111120343345 121222192740 133344412014 222240686690 266688824028 333361030035 444481373380 666722060070 1333444120140