| Base | Representation |
|---|---|
| bin | 10010110000010011111010… |
| … | …01100101010100000000000 |
| 3 | 12102000201210010101201121000 |
| 4 | 21120021331030222200000 |
| 5 | 20401203341332314000 |
| 6 | 223414253003132000 |
| 7 | 11454443351442300 |
| oct | 1130117514524000 |
| 9 | 172021703351530 |
| 10 | 41242376448000 |
| 11 | 12160880355812 |
| 12 | 4761070514000 |
| 13 | 1a021a7395570 |
| 14 | a281daa5d600 |
| 15 | 4b7c1ed62000 |
| hex | 25827d32a800 |
41242376448000 has 9216 divisors, whose sum is σ = 220224251520000. Its totient is φ = 7491236659200.
The previous prime is 41242376447977. The next prime is 41242376448043. The reversal of 41242376448000 is 84467324214.
41242376448000 is a `hidden beast` number, since 41 + 2 + 42 + 37 + 64 + 480 + 0 + 0 = 666.
It is a tau number, because it is divible by the number of its divisors (9216).
It is a super-3 number, since 3×412423764480003 (a number of 42 digits) contains 333 as substring.
It is a Harshad number since it is a multiple of its sum of digits (45).
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 767 ways as a sum of consecutive naturals, for example, 1422150911986 + ... + 1422150912014.
It is an arithmetic number, because the mean of its divisors is an integer number (23895860625).
Almost surely, 241242376448000 is an apocalyptic number.
41242376448000 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 41242376448000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110112125760000).
41242376448000 is an abundant number, since it is smaller than the sum of its proper divisors (178981875072000).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
41242376448000 is a wasteful number, since it uses less digits than its factorization.
41242376448000 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 138 (or 95 counting only the distinct ones).
The product of its (nonzero) digits is 1032192, while the sum is 45.
The spelling of 41242376448000 in words is "forty-one trillion, two hundred forty-two billion, three hundred seventy-six million, four hundred forty-eight thousand".
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