| Base | Representation |
|---|---|
| bin | 1100001110010100111… |
| … | …01010100000000000000 |
| 3 | 1111011010010002222000000 |
| 4 | 12013022131110000000 |
| 5 | 23340134134300230 |
| 6 | 520541012000000 |
| 7 | 42226126265532 |
| oct | 6071235240000 |
| 9 | 1434103088000 |
| 10 | 420008509440 |
| 11 | 152140943713 |
| 12 | 69498000000 |
| 13 | 307b6a05240 |
| 14 | 16485661852 |
| 15 | add3295b60 |
| hex | 61ca754000 |
420008509440 has 840 divisors, whose sum is σ = 1630554861768. Its totient is φ = 103195607040.
The previous prime is 420008509423. The next prime is 420008509447. The reversal of 420008509440 is 44905800024.
420008509440 is a `hidden beast` number, since 4 + 200 + 0 + 8 + 5 + 0 + 9 + 440 = 666.
It can be written as a sum of positive squares in 4 ways, for example, as 2341011456 + 417667497984 = 48384^2 + 646272^2 .
It is a super-2 number, since 2×4200085094402 (a number of 24 digits) contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a junction number, because it is equal to n+sod(n) for n = 420008509395 and 420008509404.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (420008509447) 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 55 ways as a sum of consecutive naturals, for example, 776355570 + ... + 776356110.
Almost surely, 2420008509440 is an apocalyptic number.
420008509440 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 420008509440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (815277430884).
420008509440 is an abundant number, since it is smaller than the sum of its proper divisors (1210546352328).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
420008509440 is an frugal number, since it uses more digits than its factorization.
420008509440 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 605 (or 564 counting only the distinct ones).
The product of its (nonzero) digits is 46080, while the sum is 36.
The spelling of 420008509440 in words is "four hundred twenty billion, eight million, five hundred nine thousand, four hundred forty".
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