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1316345610240 = 22033517547
BaseRepresentation
bin10011001001111100010…
…100000000000000000000
311122211201101111111011000
4103021330110000000000
5133031333434011430
62444415410452000
7164050162033623
oct23117424000000
94584641444130
101316345610240
11468293864091
12193149594000
139719165a76b
14479d63a3dba
1524393e38e60
hex1327c500000

1316345610240 has 672 divisors, whose sum is σ = 4964711391360. Its totient is φ = 329772957696.

The previous prime is 1316345610227. The next prime is 1316345610247. The reversal of 1316345610240 is 420165436131.

1316345610240 is a `hidden beast` number, since 1 + 3 + 1 + 6 + 34 + 5 + 610 + 2 + 4 + 0 = 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 = 1316345610195 and 1316345610204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1316345610247) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2406481647 + ... + 2406482193.

It is an arithmetic number, because the mean of its divisors is an integer number (7387963380).

Almost surely, 21316345610240 is an apocalyptic number.

1316345610240 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 1316345610240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2482355695680).

1316345610240 is an abundant number, since it is smaller than the sum of its proper divisors (3648365781120).

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

1316345610240 is an frugal number, since it uses more digits than its factorization.

1316345610240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 618 (or 574 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The spelling of 1316345610240 in words is "one trillion, three hundred sixteen billion, three hundred forty-five million, six hundred ten thousand, two hundred forty".