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1343437714368 = 263317596197131
BaseRepresentation
bin10011100011001011001…
…000001011001111000000
311202102122111001222022000
4103203023020023033000
5134002330023324433
62505100004344000
7166026432105141
oct23431310131700
94672574058260
101343437714368
11478826625992
1219844a6a5000
13998bb448bc9
144904653dac8
1524e2c614113
hex138cb20b3c0

1343437714368 has 896 divisors, whose sum is σ = 4400268364800. Its totient is φ = 400254566400.

The previous prime is 1343437714303. The next prime is 1343437714391. The reversal of 1343437714368 is 8634177343431.

1343437714368 is a `hidden beast` number, since 1 + 3 + 4 + 3 + 437 + 7 + 143 + 68 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

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, 10255249663 + ... + 10255249793.

It is an arithmetic number, because the mean of its divisors is an integer number (4911013800).

Almost surely, 21343437714368 is an apocalyptic number.

1343437714368 is a gapful number since it is divisible by the number (18) 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 1343437714368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2200134182400).

1343437714368 is an abundant number, since it is smaller than the sum of its proper divisors (3056830650432).

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

1343437714368 is a wasteful number, since it uses less digits than its factorization.

1343437714368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 386 (or 370 counting only the distinct ones).

The product of its digits is 12192768, while the sum is 54.

The spelling of 1343437714368 in words is "one trillion, three hundred forty-three billion, four hundred thirty-seven million, seven hundred fourteen thousand, three hundred sixty-eight".