Base | Representation |
---|---|
bin | 1001001000100101100011… |
… | …1110110100110001100000 |
3 | 1022120010001202011110210212 |
4 | 2102021120332310301200 |
5 | 2304021310324332034 |
6 | 33205425405313252 |
7 | 2054410014615203 |
oct | 222113076646140 |
9 | 38503052143725 |
10 | 10043126402144 |
11 | 32222a2037290 |
12 | 1162512865828 |
13 | 57b0a7b4b284 |
14 | 26a138a0793a |
15 | 1263a113b2ce |
hex | 92258fb4c60 |
10043126402144 has 96 divisors (see below), whose sum is σ = 22268238031872. Its totient is φ = 4417293888000.
The previous prime is 10043126402077. The next prime is 10043126402201. The reversal of 10043126402144 is 44120462134001.
It is a Harshad number since it is a multiple of its sum of digits (32).
It is a self number, because there is not a number n which added to its sum of digits gives 10043126402144.
It is a congruent number.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (19) of ones.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 105373199 + ... + 105468465.
It is an arithmetic number, because the mean of its divisors is an integer number (231960812832).
Almost surely, 210043126402144 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 10043126402144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11134119015936).
10043126402144 is an abundant number, since it is smaller than the sum of its proper divisors (12225111629728).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
10043126402144 is a wasteful number, since it uses less digits than its factorization.
10043126402144 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 104980 (or 104972 counting only the distinct ones).
The product of its (nonzero) digits is 18432, while the sum is 32.
Adding to 10043126402144 its reverse (44120462134001), we get a palindrome (54163588536145).
The spelling of 10043126402144 in words is "ten trillion, forty-three billion, one hundred twenty-six million, four hundred two thousand, one hundred forty-four".
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