Base | Representation |
---|---|
bin | 11110000100000011100101… |
… | …011111000001001110000000 |
3 | 122100011010020201210010100010 |
4 | 132010003211133001032000 |
5 | 114312243303034311414 |
6 | 1145113030334224520 |
7 | 36564405625641201 |
oct | 3604034537011600 |
9 | 570133221703303 |
10 | 132220123353984 |
11 | 3914726a730976 |
12 | 129b518b955140 |
13 | 58a13c5242a73 |
14 | 24916b95655a8 |
15 | 10445374d0959 |
hex | 7840e57c1380 |
132220123353984 has 128 divisors (see below), whose sum is σ = 369755866224000. Its totient is φ = 41746783795200.
The previous prime is 132220123353887. The next prime is 132220123354021. The reversal of 132220123353984 is 489353321022231.
It is a tau number, because it is divible by the number of its divisors (128).
It is a super-2 number, since 2×1322201233539842 (a number of 29 digits) contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (48).
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 15 ways as a sum of consecutive naturals, for example, 42484659 + ... + 45490509.
It is an arithmetic number, because the mean of its divisors is an integer number (2888717704875).
Almost surely, 2132220123353984 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 132220123353984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184877933112000).
132220123353984 is an abundant number, since it is smaller than the sum of its proper divisors (237535742870016).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
132220123353984 is a wasteful number, since it uses less digits than its factorization.
132220123353984 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 3011916 (or 3011904 counting only the distinct ones).
The product of its (nonzero) digits is 1866240, while the sum is 48.
The spelling of 132220123353984 in words is "one hundred thirty-two trillion, two hundred twenty billion, one hundred twenty-three million, three hundred fifty-three thousand, nine hundred eighty-four".
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