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1343244144000 = 27353117613343
BaseRepresentation
bin10011100010111111100…
…101110000110110000000
311202102010222211120200010
4103202333211300312000
5134001431000102000
62505024451424520
7166021561560063
oct23427745606600
94672128746603
101343244144000
11478737334680
121983b58b5140
139988a303325
14490289528da
1524e1a629d50
hex138bf970d80

1343244144000 has 512 divisors, whose sum is σ = 4865497528320. Its totient is φ = 325109760000.

The previous prime is 1343244143993. The next prime is 1343244144017. The reversal of 1343244144000 is 4414423431.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 401806329 + ... + 401809671.

It is an arithmetic number, because the mean of its divisors is an integer number (9502924860).

Almost surely, 21343244144000 is an apocalyptic number.

1343244144000 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 1343244144000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2432748764160).

1343244144000 is an abundant number, since it is smaller than the sum of its proper divisors (3522253384320).

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

1343244144000 is a wasteful number, since it uses less digits than its factorization.

1343244144000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4147 (or 4125 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 30.

Adding to 1343244144000 its reverse (4414423431), we get a palindrome (1347658567431).

The spelling of 1343244144000 in words is "one trillion, three hundred forty-three billion, two hundred forty-four million, one hundred forty-four thousand".