| Base | Representation |
|---|---|
| bin | 1001100100100… |
| … | …0110010000000 |
| 3 | 2210112112012211 |
| 4 | 2121020302000 |
| 5 | 40234102000 |
| 6 | 3552231504 |
| 7 | 665134621 |
| oct | 231106200 |
| 9 | 83475184 |
| 10 | 40144000 |
| 11 | 20729866 |
| 12 | 1153b594 |
| 13 | 8417260 |
| 14 | 548da48 |
| 15 | 37ce7ba |
| hex | 2648c80 |
40144000 has 128 divisors (see below), whose sum is σ = 108042480. Its totient is φ = 14745600.
The previous prime is 40143991. The next prime is 40144003. The reversal of 40144000 is 44104.
It is a happy number.
It can be written as a sum of positive squares in 8 ways, for example, as 906304 + 39237696 = 952^2 + 6264^2 .
It is a tau number, because it is divible by the number of its divisors (128).
It is a super-2 number, since 2×401440002 = 3223081472000000, which contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (13).
It is not an unprimeable number, because it can be changed into a prime (40144003) by changing a digit.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 207904 + ... + 208096.
Almost surely, 240144000 is an apocalyptic number.
40144000 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 40144000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54021240).
40144000 is an abundant number, since it is smaller than the sum of its proper divisors (67898480).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
40144000 is a wasteful number, since it uses less digits than its factorization.
40144000 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 235 (or 213 counting only the distinct ones).
The product of its (nonzero) digits is 64, while the sum is 13.
The square root of 40144000 is about 6335.9292925348. The cubic root of 40144000 is about 342.4050920721.
Adding to 40144000 its reverse (44104), we get a palindrome (40188104).
It can be divided in two parts, 40 and 144000, that multiplied together give a square (5760000 = 24002).
The spelling of 40144000 in words is "forty million, one hundred forty-four thousand".
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