| Base | Representation |
|---|---|
| bin | 1100000011001010000… |
| … | …10011100011100000000 |
| 3 | 1110120122012121201110210 |
| 4 | 12001211002130130000 |
| 5 | 23240344033000000 |
| 6 | 514110001554120 |
| 7 | 41624413635654 |
| oct | 6014502343400 |
| 9 | 1416565551423 |
| 10 | 414012000000 |
| 11 | 14a643a87395 |
| 12 | 682a3945940 |
| 13 | 3006c58c1c1 |
| 14 | 160770c0a64 |
| 15 | ab81aec350 |
| hex | 606509c700 |
414012000000 has 252 divisors, whose sum is σ = 1377366900728. Its totient is φ = 110400000000.
The previous prime is 414011999993. The next prime is 414012000007. The reversal of 414012000000 is 210414.
It is an interprime number because it is at equal distance from previous prime (414011999993) and next prime (414012000007).
It is a super-2 number, since 2×4140120000002 (a number of 24 digits) contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (12).
It is a self number, because there is not a number n which added to its sum of digits gives 414012000000.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (414012000007) 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 27 ways as a sum of consecutive naturals, for example, 11982750 + ... + 12017250.
Almost surely, 2414012000000 is an apocalyptic number.
414012000000 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 414012000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (688683450364).
414012000000 is an abundant number, since it is smaller than the sum of its proper divisors (963354900728).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
414012000000 is an frugal number, since it uses more digits than its factorization.
414012000000 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 34550 (or 34511 counting only the distinct ones).
The product of its (nonzero) digits is 32, while the sum is 12.
Adding to 414012000000 its reverse (210414), we get a palindrome (414012210414).
The spelling of 414012000000 in words is "four hundred fourteen billion, twelve million", and thus it is an aban number.
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