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1343420342020 = 2252931722973181
BaseRepresentation
bin10011100011001010000…
…101111001111100000100
311202102121021101100220201
4103203022011321330010
5134002311101421040
62505054144140244
7166026131331661
oct23431205717404
94672537340821
101343420342020
1147881783a879
12198444907684
13998b7975803
14490440daa68
1524e2ad31a9a
hex138ca179f04

1343420342020 has 96 divisors (see below), whose sum is σ = 2929866720480. Its totient is φ = 516813803520.

The previous prime is 1343420341987. The next prime is 1343420342039. The reversal of 1343420342020 is 202430243431.

It can be written as a sum of positive squares in 16 ways, for example, as 943897743936 + 399522598084 = 971544^2 + 632078^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 1343420342020.

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 31 ways as a sum of consecutive naturals, for example, 422324830 + ... + 422328010.

It is an arithmetic number, because the mean of its divisors is an integer number (30519445005).

Almost surely, 21343420342020 is an apocalyptic number.

1343420342020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1343420342020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1464933360240).

1343420342020 is an abundant number, since it is smaller than the sum of its proper divisors (1586446378460).

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

1343420342020 is a wasteful number, since it uses less digits than its factorization.

1343420342020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5833 (or 5831 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 28.

Adding to 1343420342020 its reverse (202430243431), we get a palindrome (1545850585451).

The spelling of 1343420342020 in words is "one trillion, three hundred forty-three billion, four hundred twenty million, three hundred forty-two thousand, twenty".

Divisors: 1 2 4 5 10 20 29 58 116 145 290 317 580 634 1268 1585 2297 3170 3181 4594 6340 6362 9188 9193 11485 12724 15905 18386 22970 31810 36772 45940 45965 63620 66613 91930 92249 133226 183860 184498 266452 333065 368996 461245 666130 728149 922490 1008377 1332260 1456298 1844980 2016754 2912596 3640745 4033508 5041885 7281490 7306757 10083770 14562980 14613514 20167540 21116321 29227028 29242933 36533785 42232642 58485866 73067570 84465284 105581605 116971732 146135140 146214665 211163210 211895953 292429330 422326420 423791906 584858660 847583812 1059479765 2118959530 2316241969 4237919060 4632483938 9264967876 11581209845 23162419690 46324839380 67171017101 134342034202 268684068404 335855085505 671710171010 1343420342020