| Base | Representation |
|---|---|
| bin | 100111000101111111… |
| … | …101100001100000000 |
| 3 | 11000100102012211000001 |
| 4 | 213011333230030000 |
| 5 | 1141431441411110 |
| 6 | 31141142205344 |
| 7 | 3014134322122 |
| oct | 470577541400 |
| 9 | 130312184001 |
| 10 | 41976513280 |
| 11 | 16890713799 |
| 12 | 8175a23854 |
| 13 | 3c5c6c5450 |
| 14 | 2062cb1212 |
| 15 | 115a2aa63a |
| hex | 9c5fec300 |
41976513280 has 144 divisors (see below), whose sum is σ = 108419842944. Its totient is φ = 15479193600.
The previous prime is 41976513253. The next prime is 41976513307. The reversal of 41976513280 is 8231567914.
It is an interprime number because it is at equal distance from previous prime (41976513253) and next prime (41976513307).
It is a super-3 number, since 3×419765132803 (a number of 33 digits) contains 333 as substring.
It is a self number, because there is not a number n which added to its sum of digits gives 41976513280.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (17) of ones.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 22080330 + ... + 22082230.
It is an arithmetic number, because the mean of its divisors is an integer number (752915576).
It is a 1-persistent number, because it is pandigital, but 2⋅41976513280 = 83953026560 is not.
Almost surely, 241976513280 is an apocalyptic number.
41976513280 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 41976513280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54209921472).
41976513280 is an abundant number, since it is smaller than the sum of its proper divisors (66443329664).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
41976513280 is a wasteful number, since it uses less digits than its factorization.
41976513280 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 3262 (or 3248 counting only the distinct ones).
The product of its (nonzero) digits is 362880, while the sum is 46.
The spelling of 41976513280 in words is "forty-one billion, nine hundred seventy-six million, five hundred thirteen thousand, two hundred eighty".
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