Search a number
-
+
144241120010440 = 235171876331130501
BaseRepresentation
bin100000110010111111000000…
…101110000110000011001000
3200220201022112122202220000101
4200302333000232012003020
5122401221303210313230
61230435242235415144
742245035263414445
oct4062770056060310
9626638478686011
10144241120010440
1141a61351984512
1214216a8b2b44b4
136263b5794660b
1427894439469cc
1511a20988dcaca
hex832fc0b860c8

144241120010440 has 64 divisors (see below), whose sum is σ = 343635391874160. Its totient is φ = 54302201856000.

The previous prime is 144241120010357. The next prime is 144241120010441. The reversal of 144241120010440 is 44010021142441.

It can be written as a sum of positive squares in 8 ways, for example, as 108480265528996 + 35760854481444 = 10415386^2 + 5980038^2 .

It is a junction number, because it is equal to n+sod(n) for n = 144241120010399 and 144241120010408.

It is not an unprimeable number, because it can be changed into a prime (144241120010441) 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 15 ways as a sum of consecutive naturals, for example, 127025190 + ... + 128155690.

Almost surely, 2144241120010440 is an apocalyptic number.

144241120010440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

144241120010440 is an abundant number, since it is smaller than the sum of its proper divisors (199394271863720).

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

144241120010440 is a wasteful number, since it uses less digits than its factorization.

144241120010440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1318162 (or 1318158 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 28.

Adding to 144241120010440 its reverse (44010021142441), we get a palindrome (188251141152881).

The spelling of 144241120010440 in words is "one hundred forty-four trillion, two hundred forty-one billion, one hundred twenty million, ten thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 17 20 34 40 68 85 136 170 340 680 187633 375266 750532 938165 1130501 1501064 1876330 2261002 3189761 3752660 4522004 5652505 6379522 7505320 9044008 11305010 12759044 15948805 19218517 22610020 25518088 31897610 38437034 45220040 63795220 76874068 96092585 127590440 153748136 192185170 384370340 768740680 212119294133 424238588266 848477176532 1060596470665 1696954353064 2121192941330 3606028000261 4242385882660 7212056000522 8484771765320 14424112001044 18030140001305 28848224002088 36060280002610 72120560005220 144241120010440