| Base | Representation |
|---|---|
| bin | 1100000011001101011… |
| … | …10001001000001000000 |
| 3 | 1110120201011202001111102 |
| 4 | 12001212232021001000 |
| 5 | 23240423244411000 |
| 6 | 514112451033532 |
| 7 | 41625205622003 |
| oct | 6014656110100 |
| 9 | 1416634661442 |
| 10 | 414040232000 |
| 11 | 14a658a0a51a |
| 12 | 682b129b8a8 |
| 13 | 30075395525 |
| 14 | 1607ab4d53a |
| 15 | ab843273d5 |
| hex | 6066b89040 |
414040232000 has 224 divisors, whose sum is σ = 1050276121440. Its totient is φ = 161641267200.
The previous prime is 414040231951. The next prime is 414040232003. The reversal of 414040232000 is 232040414.
It can be written as a sum of positive squares in 16 ways, for example, as 300233860096 + 113806371904 = 547936^2 + 337352^2 .
It is a super-2 number, since 2×4140402320002 (a number of 24 digits) contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (20).
It is not an unprimeable number, because it can be changed into a prime (414040232003) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (13) of ones.
It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 56644346 + ... + 56651654.
It is an arithmetic number, because the mean of its divisors is an integer number (4688732685).
Almost surely, 2414040232000 is an apocalyptic number.
414040232000 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 414040232000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (525138060720).
414040232000 is an abundant number, since it is smaller than the sum of its proper divisors (636235889440).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
414040232000 is an equidigital number, since it uses as much as digits as its factorization.
414040232000 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 7506 (or 7486 counting only the distinct ones).
The product of its (nonzero) digits is 768, while the sum is 20.
Adding to 414040232000 its reverse (232040414), we get a palindrome (414272272414).
The spelling of 414040232000 in words is "four hundred fourteen billion, forty million, two hundred thirty-two thousand".
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