Base | Representation |
---|---|
bin | 100110100101100011… |
… | …010000000000000000 |
3 | 10221221110222011120000 |
4 | 212211203100000000 |
5 | 1134323114440010 |
6 | 31011135320000 |
7 | 2664504530520 |
oct | 464543200000 |
9 | 127843864500 |
10 | 41432186880 |
11 | 16631431267 |
12 | 8043680000 |
13 | 3ba39c0516 |
14 | 201089b680 |
15 | 11275d87c0 |
hex | 9a58d0000 |
41432186880 has 680 divisors, whose sum is σ = 170522322432. Its totient is φ = 9427746816.
The previous prime is 41432186857. The next prime is 41432186881. The reversal of 41432186880 is 8868123414.
It is a super-2 number, since 2×414321868802 (a number of 22 digits) contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (45).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (41432186881) by changing a digit.
It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 185794449 + ... + 185794671.
Almost surely, 241432186880 is an apocalyptic number.
41432186880 is a gapful number since it is divisible by the number (40) 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 41432186880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85261161216).
41432186880 is an abundant number, since it is smaller than the sum of its proper divisors (129090135552).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
41432186880 is an frugal number, since it uses more digits than its factorization.
41432186880 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 279 (or 240 counting only the distinct ones).
The product of its (nonzero) digits is 294912, while the sum is 45.
The spelling of 41432186880 in words is "forty-one billion, four hundred thirty-two million, one hundred eighty-six thousand, eight hundred eighty".
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