Base | Representation |
---|---|
bin | 1111011000111101… |
… | …0110000101000000 |
3 | 101122220121121100000 |
4 | 3312033112011000 |
5 | 31430042431403 |
6 | 1521534200000 |
7 | 204242525361 |
oct | 36617260500 |
9 | 11586547300 |
10 | 4131217728 |
11 | 182aa68030 |
12 | 973653000 |
13 | 50ab75541 |
14 | 2b294db68 |
15 | 192a447a3 |
hex | f63d6140 |
4131217728 has 672 divisors, whose sum is σ = 14911303680. Its totient is φ = 1119744000.
The previous prime is 4131217723. The next prime is 4131217751. The reversal of 4131217728 is 8277121314.
4131217728 is a `hidden beast` number, since 413 + 1 + 217 + 7 + 28 = 666.
It is a super-2 number, since 2×41312177282 = 34133919832282963968, which contains 22 as substring.
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 = 4131217692 and 4131217701.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (4131217723) by changing a digit.
It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 100761388 + ... + 100761428.
It is an arithmetic number, because the mean of its divisors is an integer number (22189440).
Almost surely, 24131217728 is an apocalyptic number.
4131217728 is a gapful number since it is divisible by the number (48) 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 4131217728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7455651840).
4131217728 is an abundant number, since it is smaller than the sum of its proper divisors (10780085952).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
4131217728 is a wasteful number, since it uses less digits than its factorization.
4131217728 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 129 (or 107 counting only the distinct ones).
The product of its digits is 18816, while the sum is 36.
The square root of 4131217728 is about 64274.5496133579. The cubic root of 4131217728 is about 1604.5725615189.
The spelling of 4131217728 in words is "four billion, one hundred thirty-one million, two hundred seventeen thousand, seven hundred twenty-eight".
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