| Base | Representation |
|---|---|
| bin | 1100001110110111000… |
| … | …11100100101110100000 |
| 3 | 1111011212002212122210000 |
| 4 | 12013123203210232200 |
| 5 | 23341231103112423 |
| 6 | 521025300140000 |
| 7 | 42236211433650 |
| oct | 6073343445640 |
| 9 | 1434762778700 |
| 10 | 420295363488 |
| 11 | 152278859380 |
| 12 | 69558097600 |
| 13 | 3083127c570 |
| 14 | 164b17b2360 |
| 15 | aded559843 |
| hex | 61db8e4ba0 |
420295363488 has 960 divisors, whose sum is σ = 1732031465472. Its totient is φ = 96375121920.
The previous prime is 420295363469. The next prime is 420295363529. The reversal of 420295363488 is 884363592024.
420295363488 is a `hidden beast` number, since 4 + 2 + 0 + 29 + 536 + 3 + 4 + 88 = 666.
It is a super-3 number, since 3×4202953634883 (a number of 36 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.
It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.
It is a Harshad number since it is a multiple of its sum of digits (54).
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (19) of ones.
It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 59672095 + ... + 59679137.
Almost surely, 2420295363488 is an apocalyptic number.
420295363488 is a gapful number since it is divisible by the number (48) 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 420295363488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (866015732736).
420295363488 is an abundant number, since it is smaller than the sum of its proper divisors (1311736101984).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
420295363488 is a wasteful number, since it uses less digits than its factorization.
420295363488 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 7119 (or 7102 counting only the distinct ones).
The product of its (nonzero) digits is 9953280, while the sum is 54.
It can be divided in two parts, 42029536 and 3488, that added together give a palindrome (42033024).
The spelling of 420295363488 in words is "four hundred twenty billion, two hundred ninety-five million, three hundred sixty-three thousand, four hundred eighty-eight".
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