Base | Representation |
---|---|
bin | 1110100111011101111101… |
… | …11001111010110100100000 |
3 | 11012210210021010102100201000 |
4 | 13103232332321322310200 |
5 | 13203110210420131034 |
6 | 152210011242512000 |
7 | 6525133463463054 |
oct | 723567671726440 |
9 | 135723233370630 |
10 | 32142443130144 |
11 | a2725962168a6 |
12 | 3731507205600 |
13 | 14c2033772739 |
14 | 7d19b9b13c64 |
15 | 3ab17321d599 |
hex | 1d3bbee7ad20 |
32142443130144 has 384 divisors, whose sum is σ = 103986239616000. Its totient is φ = 9612930023424.
The previous prime is 32142443130143. The next prime is 32142443130163. The reversal of 32142443130144 is 44103134424123.
32142443130144 is a `hidden beast` number, since 3 + 2 + 1 + 42 + 443 + 1 + 30 + 144 = 666.
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 = 32142443130099 and 32142443130108.
It is not an unprimeable number, because it can be changed into a prime (32142443130143) by changing a digit.
It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 33172612 + ... + 34127804.
It is an arithmetic number, because the mean of its divisors is an integer number (270797499000).
Almost surely, 232142443130144 is an apocalyptic number.
32142443130144 is a gapful number since it is divisible by the number (34) 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 32142443130144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51993119808000).
32142443130144 is an abundant number, since it is smaller than the sum of its proper divisors (71843796485856).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
32142443130144 is a wasteful number, since it uses less digits than its factorization.
32142443130144 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 955337 (or 955323 counting only the distinct ones).
The product of its (nonzero) digits is 110592, while the sum is 36.
Adding to 32142443130144 its reverse (44103134424123), we get a palindrome (76245577554267).
The spelling of 32142443130144 in words is "thirty-two trillion, one hundred forty-two billion, four hundred forty-three million, one hundred thirty thousand, one hundred forty-four".
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