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140737488322560 = 215351725765537
BaseRepresentation
bin11111111111111111111111…
…111111111000000000000000
3200110022101001112122001010020
4133333333333333320000000
5121421320334002310220
61215153524245133440
741433643105430463
oct3777777777700000
9613271045561106
10140737488322560
11409304851594a8
121394ba500ba280
13606b64677250c
1426a7a3338d2da
151140d897e5040
hex7fffffff8000

140737488322560 has 512 divisors, whose sum is σ = 478707179100480. Its totient is φ = 35184372088832.

The previous prime is 140737488322549. The next prime is 140737488322597. The reversal of 140737488322560 is 65223884737041.

It is a tau number, because it is divible by the number of its divisors (512).

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a nialpdrome in base 2.

It is a zygodrome in base 2.

It is a junction number, because it is equal to n+sod(n) for n = 140737488322494 and 140737488322503.

It is a Saint-Exupery number, since it is equal to the product of the sides of a Pythagorean triangle: 262148 × 262140 × 2048.

It is a congruent number.

It is an unprimeable number.

In principle, a polygon with 140737488322560 sides can be constructed with ruler and compass.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2147418112 + ... + 2147483648.

Almost surely, 2140737488322560 is an apocalyptic number.

140737488322560 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 140737488322560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (239353589550240).

140737488322560 is an abundant number, since it is smaller than the sum of its proper divisors (337969690777920).

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

140737488322560 is an equidigital number, since it uses as much as digits as its factorization.

140737488322560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65849 (or 65821 counting only the distinct ones).

The product of its (nonzero) digits is 54190080, while the sum is 60.

The spelling of 140737488322560 in words is "one hundred forty trillion, seven hundred thirty-seven billion, four hundred eighty-eight million, three hundred twenty-two thousand, five hundred sixty".