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1343432204040 = 233546124284747
BaseRepresentation
bin10011100011001010110…
…011001001111100001000
311202102122002201000112210
4103203022303021330020
5134002322121012130
62505055250305120
7166026334215063
oct23431263117410
94672562630483
101343432204040
114788235019a3
121984488881a0
13998ba269a64
14490459078da
1524e2bdc65b0
hex138cacc9f08

1343432204040 has 64 divisors (see below), whose sum is σ = 4039039287360. Its totient is φ = 357471461120.

The previous prime is 1343432204017. The next prime is 1343432204053. The reversal of 1343432204040 is 404022343431.

It is a happy number.

It is a super-3 number, since 3×13434322040403 (a number of 37 digits) contains 333 as substring.

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 = 1343432203989 and 1343432204007.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 12087054 + ... + 12197693.

It is an arithmetic number, because the mean of its divisors is an integer number (63109988865).

Almost surely, 21343432204040 is an apocalyptic number.

1343432204040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1343432204040 is an abundant number, since it is smaller than the sum of its proper divisors (2695607083320).

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

1343432204040 is a wasteful number, since it uses less digits than its factorization.

1343432204040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24285222 (or 24285218 counting only the distinct ones).

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

Adding to 1343432204040 its reverse (404022343431), we get a palindrome (1747454547471).

The spelling of 1343432204040 in words is "one trillion, three hundred forty-three billion, four hundred thirty-two million, two hundred four thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 461 922 1383 1844 2305 2766 3688 4610 5532 6915 9220 11064 13830 18440 27660 55320 24284747 48569494 72854241 97138988 121423735 145708482 194277976 242847470 291416964 364271205 485694940 582833928 728542410 971389880 1457084820 2914169640 11195268367 22390536734 33585805101 44781073468 55976341835 67171610202 89562146936 111952683670 134343220404 167929025505 223905367340 268686440808 335858051010 447810734680 671716102020 1343432204040