Base | Representation |
---|---|
bin | 1001011110101101011111… |
… | …1000001111100100000000 |
3 | 1100220110010121020001221100 |
4 | 2113223113320033210000 |
5 | 2331233214400132334 |
6 | 34100205133454400 |
7 | 2124023631315102 |
oct | 227532770174400 |
9 | 40813117201840 |
10 | 10423212505344 |
11 | 33595067aa231 |
12 | 1204108941400 |
13 | 5a7b9b89b012 |
14 | 2806b40d9572 |
15 | 1311e9625c99 |
hex | 97ad7e0f900 |
10423212505344 has 108 divisors (see below), whose sum is σ = 30059805671532. Its totient is φ = 3473581670400.
The previous prime is 10423212505313. The next prime is 10423212505351. The reversal of 10423212505344 is 44350521232401.
It is a happy number.
10423212505344 is a `hidden beast` number, since 1 + 0 + 42 + 3 + 21 + 250 + 5 + 344 = 666.
10423212505344 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It can be written as a sum of positive squares in 2 ways, for example, as 5063580057600 + 5359632447744 = 2250240^2 + 2315088^2 .
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 = 10423212505299 and 10423212505308.
It is an unprimeable number.
It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 9237904 + ... + 10304624.
Almost surely, 210423212505344 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 10423212505344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15029902835766).
10423212505344 is an abundant number, since it is smaller than the sum of its proper divisors (19636593166188).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
10423212505344 is a wasteful number, since it uses less digits than its factorization.
10423212505344 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 1070984 (or 1070967 counting only the distinct ones).
The product of its (nonzero) digits is 115200, while the sum is 36.
Adding to 10423212505344 its reverse (44350521232401), we get a palindrome (54773733737745).
The spelling of 10423212505344 in words is "ten trillion, four hundred twenty-three billion, two hundred twelve million, five hundred five thousand, three hundred forty-four".
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