| Base | Representation |
|---|---|
| bin | 1111010010000101… |
| … | …1010101000100000 |
| 3 | 101120220101112120220 |
| 4 | 3310201122220200 |
| 5 | 31400203304134 |
| 6 | 1515024403040 |
| 7 | 203442554304 |
| oct | 36441325040 |
| 9 | 11526345526 |
| 10 | 4102400544 |
| 11 | 1815775280 |
| 12 | 965a76480 |
| 13 | 504bc5a58 |
| 14 | 2acbabd04 |
| 15 | 190251149 |
| hex | f485aa20 |
4102400544 has 96 divisors (see below), whose sum is σ = 11857902336. Its totient is φ = 1231499520.
The previous prime is 4102400539. The next prime is 4102400563. The reversal of 4102400544 is 4450042014.
It is a happy number.
It is a tau number, because it is divible by the number of its divisors (96).
It is a super-2 number, since 2×41024005442 = 33659380446822991872, which contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (24).
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (13) of ones.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 94839 + ... + 131145.
It is an arithmetic number, because the mean of its divisors is an integer number (123519816).
Almost surely, 24102400544 is an apocalyptic number.
4102400544 is a gapful number since it is divisible by the number (44) 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 4102400544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5928951168).
4102400544 is an abundant number, since it is smaller than the sum of its proper divisors (7755501792).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
4102400544 is a wasteful number, since it uses less digits than its factorization.
4102400544 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 36438 (or 36430 counting only the distinct ones).
The product of its (nonzero) digits is 2560, while the sum is 24.
The square root of 4102400544 is about 64049.9847306773. The cubic root of 4102400544 is about 1600.8329704416.
Adding to 4102400544 its reverse (4450042014), we get a palindrome (8552442558).
The spelling of 4102400544 in words is "four billion, one hundred two million, four hundred thousand, five hundred forty-four".
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