Search a number
-
+
143434661040 = 243251141943223
BaseRepresentation
bin1000010110010101011…
…1110011110010110000
3111201020012121201221100
42011211113303302300
54322223233123130
6145520514324400
713235305334226
oct2054527636260
9451205551840
10143434661040
1155915143890
122396bb89700
13106ab3324c8
146d2985cb16
153ae7523c60
hex21655f3cb0

143434661040 has 240 divisors, whose sum is σ = 526758785280. Its totient is φ = 34688248320.

The previous prime is 143434661021. The next prime is 143434661077. The reversal of 143434661040 is 40166434341.

143434661040 is a `hidden beast` number, since 1 + 4 + 3 + 4 + 34 + 6 + 610 + 4 + 0 = 666.

143434661040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (240).

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 = 143434660986 and 143434661004.

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 47 ways as a sum of consecutive naturals, for example, 3296869 + ... + 3340091.

It is an arithmetic number, because the mean of its divisors is an integer number (2194828272).

Almost surely, 2143434661040 is an apocalyptic number.

143434661040 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 143434661040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (263379392640).

143434661040 is an abundant number, since it is smaller than the sum of its proper divisors (383324124240).

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

143434661040 is a wasteful number, since it uses less digits than its factorization.

143434661040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43672 (or 43663 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 36.

The spelling of 143434661040 in words is "one hundred forty-three billion, four hundred thirty-four million, six hundred sixty-one thousand, forty".