| Base | Representation |
|---|---|
| bin | 1100000011011000010… |
| … | …01100011001010000000 |
| 3 | 1110120221112002221110220 |
| 4 | 12001230021203022000 |
| 5 | 23241120103144130 |
| 6 | 514125503023040 |
| 7 | 41630362665150 |
| oct | 6015411431200 |
| 9 | 1416845087426 |
| 10 | 414131303040 |
| 11 | 14a6a5362544 |
| 12 | 6831789aa80 |
| 13 | 3008b200b10 |
| 14 | 16088c98760 |
| 15 | ab8c316410 |
| hex | 606c263280 |
414131303040 has 1536 divisors, whose sum is σ = 1763623411200. Its totient is φ = 80337567744.
The previous prime is 414131303039. The next prime is 414131303041. The reversal of 414131303040 is 40303131414.
It is an interprime number because it is at equal distance from previous prime (414131303039) and next prime (414131303041).
It is a Harshad number since it is a multiple of its sum of digits (24).
It is a self number, because there is not a number n which added to its sum of digits gives 414131303040.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (414131303041) 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 191 ways as a sum of consecutive naturals, for example, 8811304297 + ... + 8811304343.
It is an arithmetic number, because the mean of its divisors is an integer number (1148192325).
Almost surely, 2414131303040 is an apocalyptic number.
414131303040 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 414131303040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (881811705600).
414131303040 is an abundant number, since it is smaller than the sum of its proper divisors (1349492108160).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
414131303040 is a wasteful number, since it uses less digits than its factorization.
414131303040 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 202 (or 143 counting only the distinct ones).
The product of its (nonzero) digits is 1728, while the sum is 24.
Adding to 414131303040 its reverse (40303131414), we get a palindrome (454434434454).
The spelling of 414131303040 in words is "four hundred fourteen billion, one hundred thirty-one million, three hundred three thousand, forty".
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