Base | Representation |
---|---|
bin | 1001011001000011010… |
… | …1011100111111100000 |
3 | 120102110022200021021200 |
4 | 2112100311130333200 |
5 | 10120412443041230 |
6 | 202041551521200 |
7 | 14441151001266 |
oct | 2262065347740 |
9 | 512408607250 |
10 | 161343721440 |
11 | 62475362a50 |
12 | 27329829200 |
13 | 122a3772275 |
14 | 7b48176436 |
15 | 42e4917160 |
hex | 2590d5cfe0 |
161343721440 has 576 divisors, whose sum is σ = 627123736512. Its totient is φ = 37424332800.
The previous prime is 161343721433. The next prime is 161343721471. The reversal of 161343721440 is 44127343161.
161343721440 is a `hidden beast` number, since 1 + 6 + 1 + 3 + 437 + 214 + 4 + 0 = 666.
161343721440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
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 = 161343721395 and 161343721404.
It is a congruent number.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (19) of ones.
It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 35748624 + ... + 35753136.
It is an arithmetic number, because the mean of its divisors is an integer number (1088756487).
Almost surely, 2161343721440 is an apocalyptic number.
161343721440 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 161343721440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (313561868256).
161343721440 is an abundant number, since it is smaller than the sum of its proper divisors (465780015072).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
161343721440 is a wasteful number, since it uses less digits than its factorization.
161343721440 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 4643 (or 4632 counting only the distinct ones).
The product of its (nonzero) digits is 48384, while the sum is 36.
The spelling of 161343721440 in words is "one hundred sixty-one billion, three hundred forty-three million, seven hundred twenty-one thousand, four hundred forty".
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