Base | Representation |
---|---|
bin | 101100001001111101… |
… | …011000100001101000 |
3 | 11112101012112020210011 |
4 | 230021331120201220 |
5 | 1234044400221230 |
6 | 33440341501304 |
7 | 3265623011461 |
oct | 541175304150 |
9 | 145335466704 |
10 | 47411726440 |
11 | 1911a7578a1 |
12 | 9232111834 |
13 | 4617774400 |
14 | 241aaa1d68 |
15 | 137752de2a |
hex | b09f58868 |
47411726440 has 96 divisors (see below), whose sum is σ = 116154675000. Its totient is φ = 17408701440.
The previous prime is 47411726413. The next prime is 47411726441. The reversal of 47411726440 is 4462711474.
It can be written as a sum of positive squares in 12 ways, for example, as 7434923076 + 39976803364 = 86226^2 + 199942^2 .
It is a super-3 number, since 3×474117264403 (a number of 33 digits) contains 333 as substring.
It is a Harshad number since it is a multiple of its sum of digits (40).
It is a junction number, because it is equal to n+sod(n) for n = 47411726393 and 47411726402.
It is not an unprimeable number, because it can be changed into a prime (47411726441) by changing a digit.
It is a nontrivial repunit in base 3619.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1204186 + ... + 1242934.
Almost surely, 247411726440 is an apocalyptic number.
47411726440 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 47411726440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58077337500).
47411726440 is an abundant number, since it is smaller than the sum of its proper divisors (68742948560).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
47411726440 is a wasteful number, since it uses less digits than its factorization.
47411726440 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 38967 (or 38950 counting only the distinct ones).
The product of its (nonzero) digits is 150528, while the sum is 40.
The spelling of 47411726440 in words is "forty-seven billion, four hundred eleven million, seven hundred twenty-six thousand, four hundred forty".
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