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1340443344240 = 2432571113109113151
BaseRepresentation
bin10011100000011000101…
…001100011110101110000
311202010220210122012200200
4103200120221203311300
5133430211444003430
62503442520515200
7165562302301110
oct23403051436560
94663823565620
101340443344240
1147752a360330
1219795391bb00
1399531c86070
1448c409a1040
1524d047d3460
hex13818a63d70

1340443344240 has 1920 divisors, whose sum is σ = 6194363535360. Its totient is φ = 250822656000.

The previous prime is 1340443344203. The next prime is 1340443344257. The reversal of 1340443344240 is 424433440431.

1340443344240 is a `hidden beast` number, since 1 + 3 + 40 + 44 + 334 + 4 + 240 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 1340443344195 and 1340443344204.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 8877108165 + ... + 8877108315.

It is an arithmetic number, because the mean of its divisors is an integer number (3226231008).

Almost surely, 21340443344240 is an apocalyptic number.

1340443344240 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 1340443344240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3097181767680).

1340443344240 is an abundant number, since it is smaller than the sum of its proper divisors (4853920191120).

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

1340443344240 is a wasteful number, since it uses less digits than its factorization.

1340443344240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 423 (or 414 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 36.

Adding to 1340443344240 its reverse (424433440431), we get a palindrome (1764876784671).

The spelling of 1340443344240 in words is "one trillion, three hundred forty billion, four hundred forty-three million, three hundred forty-four thousand, two hundred forty".