| Base | Representation |
|---|---|
| bin | 1011110011001000000… |
| … | …01010110000101000000 |
| 3 | 1102202102101000211010000 |
| 4 | 11321210001112011000 |
| 5 | 23120232140000000 |
| 6 | 510123540040000 |
| 7 | 41201212433340 |
| oct | 5714401260500 |
| 9 | 1382371024100 |
| 10 | 405405000000 |
| 11 | 146a2760a950 |
| 12 | 666a1393000 |
| 13 | 2c2ca36c2b0 |
| 14 | 1589bd6ad20 |
| 15 | a82b1a0000 |
| hex | 5e64056140 |
405405000000 has 2240 divisors, whose sum is σ = 2016913586688. Its totient is φ = 77760000000.
The previous prime is 405404999999. The next prime is 405405000001. The reversal of 405405000000 is 504504.
It is a happy number.
It is an interprime number because it is at equal distance from previous prime (405404999999) and next prime (405405000001).
It is a tau number, because it is divible by the number of its divisors (2240).
It is a Harshad number since it is a multiple of its sum of digits (18).
It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.
It is a Saint-Exupery number, since it is equal to the product of the sides of a Pythagorean triangle: 9750 × 4950 × 8400.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (405405000001) by changing a digit.
It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 31184999994 + ... + 31185000006.
Almost surely, 2405405000000 is an apocalyptic number.
405405000000 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 405405000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1008456793344).
405405000000 is an abundant number, since it is smaller than the sum of its proper divisors (1611508586688).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
405405000000 is an frugal number, since it uses more digits than its factorization.
405405000000 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 90 (or 41 counting only the distinct ones).
The product of its (nonzero) digits is 400, while the sum is 18.
Adding to 405405000000 its reverse (504504), we get a palindrome (405405504504).
It can be divided in two parts, 405 and 405000000, that multiplied together give a square (164025000000 = 4050002).
The spelling of 405405000000 in words is "four hundred five billion, four hundred five million", and thus it is an aban number.
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