Base | Representation |
---|---|
bin | 1100010000111100000… |
… | …11110100110010001100 |
3 | 1111021201212100122220122 |
4 | 12020132003310302030 |
5 | 23401022221122444 |
6 | 521332114404112 |
7 | 42305650240160 |
oct | 6103603646214 |
9 | 1437655318818 |
10 | 421411114124 |
11 | 1527a0651340 |
12 | 69809890638 |
13 | 3097b486440 |
14 | 16579a50ca0 |
15 | ae664a24ee |
hex | 621e0f4c8c |
421411114124 has 192 divisors, whose sum is σ = 1027105981440. Its totient is φ = 145999687680.
The previous prime is 421411114121. The next prime is 421411114129.
421411114124 is nontrivially palindromic in base 10.
It is a Harshad number since it is a multiple of its sum of digits (26).
It is a nude number because it is divisible by every one of its digits.
It is a junction number, because it is equal to n+sod(n) for n = 421411114093 and 421411114102.
It is not an unprimeable number, because it can be changed into a prime (421411114121) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (17) of ones.
It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 12551792 + ... + 12585320.
It is an arithmetic number, because the mean of its divisors is an integer number (5349510320).
Almost surely, 2421411114124 is an apocalyptic number.
421411114124 is a gapful number since it is divisible by the number (44) 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 421411114124, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (513552990720).
421411114124 is an abundant number, since it is smaller than the sum of its proper divisors (605694867316).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
421411114124 is a wasteful number, since it uses less digits than its factorization.
421411114124 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 33680 (or 33678 counting only the distinct ones).
The product of its digits is 1024, while the sum is 26.
It can be divided in two parts, 421411 and 114124, that added together give a palindrome (535535).
The spelling of 421411114124 in words is "four hundred twenty-one billion, four hundred eleven million, one hundred fourteen thousand, one hundred twenty-four".
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