Search a number
-
+
2440144140 = 2235726011381
BaseRepresentation
bin1001000101110001…
…1010010100001100
320022001120011110220
42101130122110030
514444134103030
61042044431340
7114316611600
oct22134322414
96261504426
102440144140
111042441455
12581248550
132cb702c95
1419210d500
15e4355a10
hex9171a50c

2440144140 has 144 divisors (see below), whose sum is σ = 7966887264. Its totient is φ = 556416000.

The previous prime is 2440144139. The next prime is 2440144153. The reversal of 2440144140 is 414410442.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 2440144140.

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 47 ways as a sum of consecutive naturals, for example, 1766250 + ... + 1767630.

It is an arithmetic number, because the mean of its divisors is an integer number (55325606).

Almost surely, 22440144140 is an apocalyptic number.

2440144140 is a gapful number since it is divisible by the number (20) 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 2440144140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3983443632).

2440144140 is an abundant number, since it is smaller than the sum of its proper divisors (5526743124).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2440144140 is a wasteful number, since it uses less digits than its factorization.

2440144140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2008 (or 1999 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 24.

The square root of 2440144140 is about 49397.8151338700. The cubic root of 2440144140 is about 1346.2896085435.

Adding to 2440144140 its reverse (414410442), we get a palindrome (2854554582).

The spelling of 2440144140 in words is "two billion, four hundred forty million, one hundred forty-four thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 49 60 70 84 98 105 140 147 196 210 245 294 420 490 588 601 735 980 1202 1381 1470 1803 2404 2762 2940 3005 3606 4143 4207 5524 6010 6905 7212 8286 8414 9015 9667 12020 12621 13810 16572 16828 18030 19334 20715 21035 25242 27620 29001 29449 36060 38668 41430 42070 48335 50484 58002 58898 63105 67669 82860 84140 88347 96670 116004 117796 126210 135338 145005 147245 176694 193340 203007 252420 270676 290010 294490 338345 353388 406014 441735 580020 588980 676690 812028 829981 883470 1015035 1353380 1659962 1766940 2030070 2489943 3319924 4060140 4149905 4979886 5809867 8299810 9959772 11619734 12449715 16599620 17429601 23239468 24899430 29049335 34859202 40669069 49798860 58098670 69718404 81338138 87148005 116197340 122007207 162676276 174296010 203345345 244014414 348592020 406690690 488028828 610036035 813381380 1220072070 2440144140