Search a number
-
+
1343003421312 = 2734729727253
BaseRepresentation
bin10011100010110001001…
…111011110101010000000
311202101112012212121020000
4103202301033132222000
5134000432333440222
62504544532120000
7166012606504500
oct23426117365200
94671465777200
101343003421312
11478623468103
12198349166000
139984c48b577
14490049ada00
1524e044299ac
hex138b13dea80

1343003421312 has 480 divisors, whose sum is σ = 4697391241620. Its totient is φ = 379745501184.

The previous prime is 1343003421307. The next prime is 1343003421329. The reversal of 1343003421312 is 2131243003431.

It is a happy number.

1343003421312 is a `hidden beast` number, since 1 + 3 + 4 + 3 + 0 + 0 + 342 + 1 + 312 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1342576420416 + 427000896 = 1158696^2 + 20664^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

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 59 ways as a sum of consecutive naturals, for example, 49265478 + ... + 49292730.

Almost surely, 21343003421312 is an apocalyptic number.

1343003421312 is a gapful number since it is divisible by the number (12) 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 1343003421312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2348695620810).

1343003421312 is an abundant number, since it is smaller than the sum of its proper divisors (3354387820308).

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

1343003421312 is an equidigital number, since it uses as much as digits as its factorization.

1343003421312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27390 (or 27362 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

Adding to 1343003421312 its reverse (2131243003431), we get a palindrome (3474246424743).

The spelling of 1343003421312 in words is "one trillion, three hundred forty-three billion, three million, four hundred twenty-one thousand, three hundred twelve".