Base | Representation |
---|---|
bin | 111101011101110000… |
… | …0111110101101010000 |
3 | 110121200221212221020210 |
4 | 1322323200332231100 |
5 | 4130311210104403 |
6 | 140345423004120 |
7 | 12351650006520 |
oct | 1727340765520 |
9 | 417627787223 |
10 | 131995003728 |
11 | 50a84813a45 |
12 | 216b8a39640 |
13 | c5a72bca03 |
14 | 6562423680 |
15 | 367808ab03 |
hex | 1ebb83eb50 |
131995003728 has 320 divisors, whose sum is σ = 423675740160. Its totient is φ = 34556461056.
The previous prime is 131995003709. The next prime is 131995003729. The reversal of 131995003728 is 827300599131.
It is a Harshad number since it is a multiple of its sum of digits (48).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (131995003729) 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, 32939101 + ... + 32943107.
It is an arithmetic number, because the mean of its divisors is an integer number (1323986688).
Almost surely, 2131995003728 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 131995003728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (211837870080).
131995003728 is an abundant number, since it is smaller than the sum of its proper divisors (291680736432).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
131995003728 is a wasteful number, since it uses less digits than its factorization.
131995003728 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 4194 (or 4188 counting only the distinct ones).
The product of its (nonzero) digits is 408240, while the sum is 48.
The spelling of 131995003728 in words is "one hundred thirty-one billion, nine hundred ninety-five million, three thousand, seven hundred twenty-eight".
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