Search a number
-
+
2440142505200 = 245223265232881
BaseRepresentation
bin100011100000100011110…
…100111100010011110000
322122021102201121202211202
4203200203310330103300
5304434402440131300
65104552550230332
7341203002032651
oct43404364742360
98567381552752
102440142505200
11860949914514
12334aba9553a8
1314914862b66a
1486164117528
1543718b5bad5
hex23823d3c4f0

2440142505200 has 60 divisors (see below), whose sum is σ = 6117331190448. Its totient is φ = 933619737600.

The previous prime is 2440142505193. The next prime is 2440142505209. The reversal of 2440142505200 is 25052410442.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2440142505209) 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 11 ways as a sum of consecutive naturals, for example, 132607241 + ... + 132625640.

Almost surely, 22440142505200 is an apocalyptic number.

2440142505200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2440142505200 is an abundant number, since it is smaller than the sum of its proper divisors (3677188685248).

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

2440142505200 is a wasteful number, since it uses less digits than its factorization.

2440142505200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 265232922 (or 265232911 counting only the distinct ones).

The product of its (nonzero) digits is 12800, while the sum is 29.

Adding to 2440142505200 its reverse (25052410442), we get a palindrome (2465194915642).

The spelling of 2440142505200 in words is "two trillion, four hundred forty billion, one hundred forty-two million, five hundred five thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 23 25 40 46 50 80 92 100 115 184 200 230 368 400 460 575 920 1150 1840 2300 4600 9200 265232881 530465762 1060931524 1326164405 2121863048 2652328810 4243726096 5304657620 6100356263 6630822025 10609315240 12200712526 13261644050 21218630480 24401425052 26523288100 30501781315 48802850104 53046576200 61003562630 97605700208 106093152400 122007125260 152508906575 244014250520 305017813150 488028501040 610035626300 1220071252600 2440142505200