Base | Representation |
---|---|
bin | 1000010010001010000… |
… | …1011001010000100000 |
3 | 111121100001012112212102 |
4 | 2010202201121100200 |
5 | 4312424123202240 |
6 | 145213331345532 |
7 | 13165436252006 |
oct | 2044241312040 |
9 | 447301175772 |
10 | 142313100320 |
11 | 5539a0426a6 |
12 | 236b84522a8 |
13 | 1055cb72c01 |
14 | 6c6090aa76 |
15 | 3a7dd2e815 |
hex | 2122859420 |
142313100320 has 96 divisors (see below), whose sum is σ = 338163562800. Its totient is φ = 56596234240.
The previous prime is 142313100247. The next prime is 142313100329. The reversal of 142313100320 is 23001313241.
It can be written as a sum of positive squares in 8 ways, for example, as 124160388496 + 18152711824 = 352364^2 + 134732^2 .
It is a Harshad number since it is a multiple of its sum of digits (20).
It is a junction number, because it is equal to n+sod(n) for n = 142313100292 and 142313100301.
It is not an unprimeable number, because it can be changed into a prime (142313100329) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (11) of ones.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 21045740 + ... + 21052500.
Almost surely, 2142313100320 is an apocalyptic number.
142313100320 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 142313100320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169081781400).
142313100320 is an abundant number, since it is smaller than the sum of its proper divisors (195850462480).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
142313100320 is a wasteful number, since it uses less digits than its factorization.
142313100320 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 7518 (or 7510 counting only the distinct ones).
The product of its (nonzero) digits is 432, while the sum is 20.
Adding to 142313100320 its reverse (23001313241), we get a palindrome (165314413561).
The spelling of 142313100320 in words is "one hundred forty-two billion, three hundred thirteen million, one hundred thousand, three hundred twenty".
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