Search a number
-
+
1140033320010 = 2325132174408993
BaseRepresentation
bin10000100101101111010…
…001111111010001001010
311000222121212211010200200
4100211233101333101022
5122134242012220020
62231420222313030
7145236042222144
oct20455721772112
94028555733620
101140033320010
113aa5380a7932
12164b42a28776
1383673a25a00
143d26c269c94
151e9c536a590
hex1096f47f44a

1140033320010 has 144 divisors (see below), whose sum is σ = 3398434939224. Its totient is φ = 264116256768.

The previous prime is 1140033320003. The next prime is 1140033320071. The reversal of 1140033320010 is 100233300411.

It can be written as a sum of positive squares in 12 ways, for example, as 96564941001 + 1043468379009 = 310749^2 + 1021503^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

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, 1945927 + ... + 2463066.

Almost surely, 21140033320010 is an apocalyptic number.

1140033320010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1140033320010 is an abundant number, since it is smaller than the sum of its proper divisors (2258401619214).

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

1140033320010 is a wasteful number, since it uses less digits than its factorization.

1140033320010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4409049 (or 4409033 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 1140033320010 its reverse (100233300411), we get a palindrome (1240266620421).

The spelling of 1140033320010 in words is "one trillion, one hundred forty billion, thirty-three million, three hundred twenty thousand, ten".

Divisors: 1 2 3 5 6 9 10 13 15 17 18 26 30 34 39 45 51 65 78 85 90 102 117 130 153 169 170 195 221 234 255 306 338 390 442 507 510 585 663 765 845 1014 1105 1170 1326 1521 1530 1690 1989 2210 2535 2873 3042 3315 3978 5070 5746 6630 7605 8619 9945 14365 15210 17238 19890 25857 28730 43095 51714 86190 129285 258570 4408993 8817986 13226979 22044965 26453958 39680937 44089930 57316909 66134895 74952881 79361874 114633818 132269790 149905762 171950727 198404685 224858643 286584545 343901454 374764405 396809370 449717286 515852181 573169090 674575929 745119817 749528810 859753635 974387453 1031704362 1124293215 1349151858 1490239634 1719507270 1948774906 2235359451 2248586430 2579260905 2923162359 3372879645 3725599085 4470718902 4871937265 5158521810 5846324718 6706078353 6745759290 7451198170 8769487077 9743874530 11176797255 12667036889 13412156706 14615811795 17538974154 22353594510 25334073778 29231623590 33530391765 38001110667 43847435385 63335184445 67060783530 76002221334 87694870770 114003332001 126670368890 190005553335 228006664002 380011106670 570016660005 1140033320010