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1343968022016 = 2933615692801
BaseRepresentation
bin10011100011101010101…
…111001000111000000000
311202111000102221101122000
4103203222233020320000
5134004421303201031
62505224350544000
7166045531461444
oct23435257107000
94674012841560
101343968022016
11478a78a02974
12198578208000
1399974283009
1449096b44824
1524e5de673e6
hex138eabc8e00

1343968022016 has 320 divisors, whose sum is σ = 4052008065600. Its totient is φ = 439713792000.

The previous prime is 1343968022009. The next prime is 1343968022029. The reversal of 1343968022016 is 6102208693431.

1343968022016 is a `hidden beast` number, since 1 + 3 + 439 + 6 + 8 + 0 + 2 + 201 + 6 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 479815816 + ... + 479818616.

It is an arithmetic number, because the mean of its divisors is an integer number (12662525205).

Almost surely, 21343968022016 is an apocalyptic number.

1343968022016 is a gapful number since it is divisible by the number (16) 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 1343968022016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2026004032800).

1343968022016 is an abundant number, since it is smaller than the sum of its proper divisors (2708040043584).

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

1343968022016 is an equidigital number, since it uses as much as digits as its factorization.

1343968022016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3458 (or 3436 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 45.

The spelling of 1343968022016 in words is "one trillion, three hundred forty-three billion, nine hundred sixty-eight million, twenty-two thousand, sixteen".