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1243722055680 = 2153851389
BaseRepresentation
bin10010000110010011100…
…111001000000000000000
311101220021010110200000000
4102012103213020000000
5130334120321240210
62351205200000000
7155566410021066
oct22062347100000
94356233420000
101243722055680
1143a506749705
12181060000000
1390389813b80
14442a7178036
1522543343ac0
hex121939c8000

1243722055680 has 1152 divisors, whose sum is σ = 4875670308600. Its totient is φ = 302707113984.

The previous prime is 1243722055643. The next prime is 1243722055687. The reversal of 1243722055680 is 865502273421.

1243722055680 is a `hidden beast` number, since 1 + 2 + 4 + 3 + 72 + 20 + 556 + 8 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 572843114496 + 670878941184 = 756864^2 + 819072^2 .

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (1243722055687) 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, 13974405076 + ... + 13974405164.

Almost surely, 21243722055680 is an apocalyptic number.

1243722055680 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 1243722055680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2437835154300).

1243722055680 is an abundant number, since it is smaller than the sum of its proper divisors (3631948252920).

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

1243722055680 is an frugal number, since it uses more digits than its factorization.

1243722055680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 161 (or 112 counting only the distinct ones).

The product of its (nonzero) digits is 806400, while the sum is 45.

The spelling of 1243722055680 in words is "one trillion, two hundred forty-three billion, seven hundred twenty-two million, fifty-five thousand, six hundred eighty".