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1343422304040 = 233537595128349
BaseRepresentation
bin10011100011001010001…
…101011000111100101000
311202102121102002001022010
4103203022031120330220
5134002312102212130
62505054254155520
7166026154113105
oct23431215307450
94672542061263
101343422304040
1147881895a983
121984454b2ba0
13998b81b187b
144904448baac
1524e2b0bd0b0
hex138ca358f28

1343422304040 has 128 divisors (see below), whose sum is σ = 4209349680000. Its totient is φ = 342655699968.

The previous prime is 1343422304017. The next prime is 1343422304041. The reversal of 1343422304040 is 404032243431.

It is a happy number.

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 = 1343422303989 and 1343422304007.

It is not an unprimeable number, because it can be changed into a prime (1343422304041) 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 31 ways as a sum of consecutive naturals, for example, 2302215 + ... + 2826134.

It is an arithmetic number, because the mean of its divisors is an integer number (32885544375).

Almost surely, 21343422304040 is an apocalyptic number.

1343422304040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1343422304040 is an abundant number, since it is smaller than the sum of its proper divisors (2865927375960).

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

1343422304040 is a wasteful number, since it uses less digits than its factorization.

1343422304040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5128459 (or 5128455 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 30.

Adding to 1343422304040 its reverse (404032243431), we get a palindrome (1747454547471).

The spelling of 1343422304040 in words is "one trillion, three hundred forty-three billion, four hundred twenty-two million, three hundred four thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 37 40 59 60 74 111 118 120 148 177 185 222 236 295 296 354 370 444 472 555 590 708 740 885 888 1110 1180 1416 1480 1770 2183 2220 2360 3540 4366 4440 6549 7080 8732 10915 13098 17464 21830 26196 32745 43660 52392 65490 87320 130980 261960 5128349 10256698 15385047 20513396 25641745 30770094 41026792 51283490 61540188 76925235 102566980 123080376 153850470 189748913 205133960 302572591 307700940 379497826 569246739 605145182 615401880 758995652 907717773 948744565 1138493478 1210290364 1512862955 1517991304 1815435546 1897489130 2276986956 2420580728 2846233695 3025725910 3630871092 3794978260 4538588865 4553973912 5692467390 6051451820 7261742184 7589956520 9077177730 11195185867 11384934780 12102903640 18154355460 22390371734 22769869560 33585557601 36308710920 44780743468 55975929335 67171115202 89561486936 111951858670 134342230404 167927788005 223903717340 268684460808 335855576010 447807434680 671711152020 1343422304040