Base | Representation |
---|---|
bin | 100000000101101110111101… |
… | …101010100010001010000000 |
3 | 200111201001002202111021002012 |
4 | 200011232331222202022000 |
5 | 121444244314140014130 |
6 | 1220054531033112052 |
7 | 41504262305141066 |
oct | 4005567552421200 |
9 | 614631082437065 |
10 | 141131512423040 |
11 | 40a725a1521067 |
12 | 139b4295b58628 |
13 | 609984c002729 |
14 | 26bcb31a18036 |
15 | 114b24b766995 |
hex | 805bbdaa2280 |
141131512423040 has 128 divisors (see below), whose sum is σ = 339560724358800. Its totient is φ = 56089861521408.
The previous prime is 141131512423009. The next prime is 141131512423043. The reversal of 141131512423040 is 40324215131141.
It can be written as a sum of positive squares in 8 ways, for example, as 55883518878784 + 85247993544256 = 7475528^2 + 9232984^2 .
It is a tau number, because it is divible by the number of its divisors (128).
It is a Harshad number since it is a multiple of its sum of digits (32).
It is a junction number, because it is equal to n+sod(n) for n = 141131512422988 and 141131512423006.
It is not an unprimeable number, because it can be changed into a prime (141131512423043) by changing a digit.
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 15 ways as a sum of consecutive naturals, for example, 2668420916 + ... + 2668473804.
Almost surely, 2141131512423040 is an apocalyptic number.
141131512423040 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 141131512423040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169780362179400).
141131512423040 is an abundant number, since it is smaller than the sum of its proper divisors (198429211935760).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
141131512423040 is a wasteful number, since it uses less digits than its factorization.
141131512423040 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 79622 (or 79610 counting only the distinct ones).
The product of its (nonzero) digits is 11520, while the sum is 32.
Adding to 141131512423040 its reverse (40324215131141), we get a palindrome (181455727554181).
The spelling of 141131512423040 in words is "one hundred forty-one trillion, one hundred thirty-one billion, five hundred twelve million, four hundred twenty-three thousand, forty".
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