| Base | Representation |
|---|---|
| bin | 101111110001100001011101… |
| … | …0111001000011100001100000 |
| 3 | 2001002212220022222100120000000 |
| 4 | 1133203002322321003201200 |
| 5 | 420034412130323300311 |
| 6 | 4045423354301300000 |
| 7 | 154341043063455240 |
| oct | 13743027271034140 |
| 9 | 2032786288316000 |
| 10 | 420222735759456 |
| 11 | 111994509174483 |
| 12 | 3b169b93b64600 |
| 13 | 15062aac252656 |
| 14 | 75aac6332db20 |
| 15 | 338ae57450056 |
| hex | 17e30bae43860 |
420222735759456 has 768 divisors, whose sum is σ = 1482104339251200. Its totient is φ = 114656046912000.
The previous prime is 420222735759283. The next prime is 420222735759527. The reversal of 420222735759456 is 654957537222024.
420222735759456 is a `hidden beast` number, since 4 + 2 + 0 + 2 + 2 + 2 + 7 + 3 + 575 + 9 + 4 + 56 = 666.
It is a Harshad number since it is a multiple of its sum of digits (63).
It is a junction number, because it is equal to n+sod(n) for n = 420222735759393 and 420222735759402.
It is a congruent number.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (23) of ones.
It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 6974505331 + ... + 6974565581.
It is an arithmetic number, because the mean of its divisors is an integer number (1929823358400).
Almost surely, 2420222735759456 is an apocalyptic number.
420222735759456 is a gapful number since it is divisible by the number (46) 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 420222735759456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (741052169625600).
420222735759456 is an abundant number, since it is smaller than the sum of its proper divisors (1061881603491744).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
420222735759456 is an equidigital number, since it uses as much as digits as its factorization.
420222735759456 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 60931 (or 60905 counting only the distinct ones).
The product of its (nonzero) digits is 254016000, while the sum is 63.
The spelling of 420222735759456 in words is "four hundred twenty trillion, two hundred twenty-two billion, seven hundred thirty-five million, seven hundred fifty-nine thousand, four hundred fifty-six".
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