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1213743061440 = 263457213195373
BaseRepresentation
bin10001101010011000101…
…110010101100111000000
311022000212211200222010000
4101222120232111213000
5124341221210431230
62325330314040000
7153455453540400
oct21523056254700
94260784628100
101213743061440
11428822352608
12177294119000
138a5bc8c4c20
1442a6183a800
152188b4b8b60
hex11a98b959c0

1213743061440 has 3360 divisors, whose sum is σ = 5880289504320. Its totient is φ = 234770006016.

The previous prime is 1213743061439. The next prime is 1213743061471. The reversal of 1213743061440 is 441603473121.

1213743061440 is a `hidden beast` number, since 1 + 2 + 1 + 3 + 7 + 4 + 30 + 614 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3360).

It is a super-2 number, since 2×12137430614402 (a number of 25 digits) contains 22 as substring.

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 = 1213743061395 and 1213743061404.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 16626617244 + ... + 16626617316.

It is an arithmetic number, because the mean of its divisors is an integer number (1750086162).

Almost surely, 21213743061440 is an apocalyptic number.

1213743061440 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 1213743061440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2940144752160).

1213743061440 is an abundant number, since it is smaller than the sum of its proper divisors (4666546442880).

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

1213743061440 is a wasteful number, since it uses less digits than its factorization.

1213743061440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 201 (or 175 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The spelling of 1213743061440 in words is "one trillion, two hundred thirteen billion, seven hundred forty-three million, sixty-one thousand, four hundred forty".