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1344023241000 = 2335311291977129
BaseRepresentation
bin10011100011101110000…
…001110010000100101000
311202111011021211210211120
4103203232001302010220
5134010024422203000
62505234042255240
7166050102023646
oct23435601620450
94674137753746
101344023241000
11478aa70987a0
121985927b7520
1399982847a7b
14490a01da196
1524e63c236a0
hex138ee072128

1344023241000 has 512 divisors, whose sum is σ = 4756999104000. Its totient is φ = 312947712000.

The previous prime is 1344023240977. The next prime is 1344023241091. The reversal of 1344023241000 is 1423204431.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 188525436 + ... + 188532564.

It is an arithmetic number, because the mean of its divisors is an integer number (9291013875).

Almost surely, 21344023241000 is an apocalyptic number.

1344023241000 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 1344023241000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2378499552000).

1344023241000 is an abundant number, since it is smaller than the sum of its proper divisors (3412975863000).

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

1344023241000 is a wasteful number, since it uses less digits than its factorization.

1344023241000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7390 (or 7376 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 1344023241000 its reverse (1423204431), we get a palindrome (1345446445431).

The spelling of 1344023241000 in words is "one trillion, three hundred forty-four billion, twenty-three million, two hundred forty-one thousand".