Search a number
-
+
1343040894720 = 283357193753149
BaseRepresentation
bin10011100010110011011…
…110011011011100000000
311202101121211101110002000
4103202303132123130000
5134001021432112340
62504552351224000
7166013543150430
oct23426336333400
94671554343060
101343040894720
11478642632468
12198359818000
139985717c095
14490099662c0
1524e0787cd30
hex138b379b700

1343040894720 has 2304 divisors, whose sum is σ = 6039774720000. Its totient is φ = 275761594368.

The previous prime is 1343040894709. The next prime is 1343040894743. The reversal of 1343040894720 is 274980403431.

1343040894720 is a `hidden beast` number, since 1 + 34 + 30 + 40 + 89 + 472 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2304).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 9013697206 + ... + 9013697354.

It is an arithmetic number, because the mean of its divisors is an integer number (2621430000).

Almost surely, 21343040894720 is an apocalyptic number.

1343040894720 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 1343040894720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3019887360000).

1343040894720 is an abundant number, since it is smaller than the sum of its proper divisors (4696733825280).

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

1343040894720 is a wasteful number, since it uses less digits than its factorization.

1343040894720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 295 (or 275 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

The spelling of 1343040894720 in words is "one trillion, three hundred forty-three billion, forty million, eight hundred ninety-four thousand, seven hundred twenty".