| Base | Representation |
|---|---|
| bin | 1111101111110010010… |
| … | …00011001011010000000 |
| 3 | 1220201112202020021212121 |
| 4 | 13313321020121122000 |
| 5 | 32331032430440000 |
| 6 | 1052315532534024 |
| 7 | 54042511362463 |
| oct | 7677110313200 |
| 9 | 1821482207777 |
| 10 | 541050640000 |
| 11 | 199504a87962 |
| 12 | 88a38921314 |
| 13 | 3c036a8acc0 |
| 14 | 1c2891612da |
| 15 | e1199a0b1a |
| hex | 7df9219680 |
541050640000 has 160 divisors (see below), whose sum is σ = 1450523137140. Its totient is φ = 199772160000.
The previous prime is 541050639907. The next prime is 541050640007. The reversal of 541050640000 is 46050145.
It can be written as a sum of positive squares in 10 ways, for example, as 7017077824 + 534033562176 = 83768^2 + 730776^2 .
It is a tau number, because it is divible by the number of its divisors (160).
It is a hoax number, since the sum of its digits (25) coincides with the sum of the digits of its distinct prime factors.
It is a Harshad number since it is a multiple of its sum of digits (25).
It is not an unprimeable number, because it can be changed into a prime (541050640007) by changing a digit.
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 19 ways as a sum of consecutive naturals, for example, 779880 + ... + 1300120.
Almost surely, 2541050640000 is an apocalyptic number.
541050640000 is a gapful number since it is divisible by the number (50) 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 541050640000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (725261568570).
541050640000 is an abundant number, since it is smaller than the sum of its proper divisors (909472497140).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
541050640000 is an equidigital number, since it uses as much as digits as its factorization.
541050640000 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 520288 (or 520261 counting only the distinct ones).
The product of its (nonzero) digits is 2400, while the sum is 25.
Adding to 541050640000 its reverse (46050145), we get a palindrome (541096690145).
The spelling of 541050640000 in words is "five hundred forty-one billion, fifty million, six hundred forty thousand".
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