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1344087299808 = 2538111930631
BaseRepresentation
bin10011100011110001110…
…110001001011011100000
311202111022202101100000000
4103203301312021123200
5134010142322043213
62505244251300000
7166051510354221
oct23436166113340
94674282340000
101344087299808
1147902a271060
121985b014a600
1399992bb62a6
14490a8913248
1524e69678c73
hex138f1d896e0

1344087299808 has 432 divisors, whose sum is σ = 4557916621440. Its totient is φ = 385849785600.

The previous prime is 1344087299803. The next prime is 1344087299809. The reversal of 1344087299808 is 8089927804431.

1344087299808 is a `hidden beast` number, since 1 + 3 + 440 + 87 + 29 + 98 + 0 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1344087299801) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 43864653 + ... + 43895283.

It is an arithmetic number, because the mean of its divisors is an integer number (10550732920).

Almost surely, 21344087299808 is an apocalyptic number.

1344087299808 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 1344087299808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2278958310720).

1344087299808 is an abundant number, since it is smaller than the sum of its proper divisors (3213829321632).

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

1344087299808 is an equidigital number, since it uses as much as digits as its factorization.

1344087299808 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30695 (or 30666 counting only the distinct ones).

The product of its (nonzero) digits is 27869184, while the sum is 63.

The spelling of 1344087299808 in words is "one trillion, three hundred forty-four billion, eighty-seven million, two hundred ninety-nine thousand, eight hundred eight".