| Base | Representation |
|---|---|
| bin | 1001000110101011110001… |
| … | …1000110100001010011000 |
| 3 | 1022102222200101102210002020 |
| 4 | 2101222330120310022120 |
| 5 | 2303002332202441100 |
| 6 | 33142421410534440 |
| 7 | 2052141616433040 |
| oct | 221527430641230 |
| 9 | 38388611383066 |
| 10 | 10010434421400 |
| 11 | 320a446294286 |
| 12 | 115810a297420 |
| 13 | 577c97b4987a |
| 14 | 268716c56720 |
| 15 | 1255db0135a0 |
| hex | 91abc634298 |
10010434421400 has 384 divisors, whose sum is σ = 36621160857600. Its totient is φ = 2213589772800.
The previous prime is 10010434421399. The next prime is 10010434421401. The reversal of 10010434421400 is 412443401001.
It is an interprime number because it is at equal distance from previous prime (10010434421399) and next prime (10010434421401).
It is a Harshad number since it is a multiple of its sum of digits (24).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (10010434421401) by changing a digit.
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 95 ways as a sum of consecutive naturals, for example, 486807519 + ... + 486828081.
It is an arithmetic number, because the mean of its divisors is an integer number (95367606400).
Almost surely, 210010434421400 is an apocalyptic number.
10010434421400 is a gapful number since it is divisible by the number (10) 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 10010434421400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18310580428800).
10010434421400 is an abundant number, since it is smaller than the sum of its proper divisors (26610726436200).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
10010434421400 is a wasteful number, since it uses less digits than its factorization.
10010434421400 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 24359 (or 24350 counting only the distinct ones).
The product of its (nonzero) digits is 1536, while the sum is 24.
Adding to 10010434421400 its reverse (412443401001), we get a palindrome (10422877822401).
The spelling of 10010434421400 in words is "ten trillion, ten billion, four hundred thirty-four million, four hundred twenty-one thousand, four hundred".
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