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1344881200896 = 2834294315189
BaseRepresentation
bin10011100100100001001…
…010101000111100000000
311202120101002020200120000
4103210201022220330000
5134013304041412041
62505455131320000
7166110260406522
oct23444112507400
94676332220500
101344881200896
114793a7416762
12198791bb0000
1399a8b51214c
1449142131a12
1524eb41e8bb6
hex139212a8f00

1344881200896 has 360 divisors, whose sum is σ = 4158901454400. Its totient is φ = 431747850240.

The previous prime is 1344881200853. The next prime is 1344881200907. The reversal of 1344881200896 is 6980021884431.

It is a happy number.

1344881200896 is a `hidden beast` number, since 1 + 34 + 488 + 120 + 0 + 8 + 9 + 6 = 666.

It is a super-2 number, since 2×13448812008962 (a number of 25 digits) contains 22 as substring.

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 polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 259176670 + ... + 259181858.

It is an arithmetic number, because the mean of its divisors is an integer number (11552504040).

Almost surely, 21344881200896 is an apocalyptic number.

1344881200896 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 1344881200896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2079450727200).

1344881200896 is an abundant number, since it is smaller than the sum of its proper divisors (2814020253504).

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

1344881200896 is an equidigital number, since it uses as much as digits as its factorization.

1344881200896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5677 (or 5654 counting only the distinct ones).

The product of its (nonzero) digits is 2654208, while the sum is 54.

The spelling of 1344881200896 in words is "one trillion, three hundred forty-four billion, eight hundred eighty-one million, two hundred thousand, eight hundred ninety-six".