Base | Representation |
---|---|
bin | 100100101111101011010100… |
… | …1101101001110001110100000 |
3 | 1120101101202201110211201220202 |
4 | 1021133112221231032032200 |
5 | 314331001204402131034 |
6 | 3103225315214324332 |
7 | 125036204121603536 |
oct | 11137265155161640 |
9 | 1511352643751822 |
10 | 323212021130144 |
11 | 93a924a2898433 |
12 | 303007a3ab96a8 |
13 | 10b469bbb8a073 |
14 | 59b578c3ca156 |
15 | 275774690447e |
hex | 125f5a9b4e3a0 |
323212021130144 has 96 divisors (see below), whose sum is σ = 660033054954000. Its totient is φ = 155614682087424.
The previous prime is 323212021130143. The next prime is 323212021130149. The reversal of 323212021130144 is 441031120212323.
It is a happy number.
It can be written as a sum of positive squares in 8 ways, for example, as 176181554755600 + 147030466374544 = 13273340^2 + 12125612^2 .
It is a Harshad number since it is a multiple of its sum of digits (29).
It is not an unprimeable number, because it can be changed into a prime (323212021130143) by changing a digit.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1621726052 + ... + 1621925340.
Almost surely, 2323212021130144 is an apocalyptic number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 323212021130144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (330016527477000).
323212021130144 is an abundant number, since it is smaller than the sum of its proper divisors (336821033823856).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
323212021130144 is a wasteful number, since it uses less digits than its factorization.
323212021130144 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 204010 (or 204002 counting only the distinct ones).
The product of its (nonzero) digits is 6912, while the sum is 29.
Adding to 323212021130144 its reverse (441031120212323), we get a palindrome (764243141342467).
The spelling of 323212021130144 in words is "three hundred twenty-three trillion, two hundred twelve billion, twenty-one million, one hundred thirty thousand, one hundred forty-four".
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