Search a number
-
+
40444044400240 = 2451398173961343
BaseRepresentation
bin10010011001000100111001…
…11001100101011001110000
312022012102010222210201221021
421030202130321211121300
520300113400331301430
6222003423144505224
711342662060134625
oct1114423471453160
9168172128721837
1040444044400240
111198324a765248
1246523b077b214
131974b1ab543a0
149db70603a34c
154a20981e307a
hex24c89ce65670

40444044400240 has 80 divisors (see below), whose sum is σ = 101276005920768. Its totient is φ = 14931660699648.

The previous prime is 40444044400229. The next prime is 40444044400301. The reversal of 40444044400240 is 4200444044404.

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 40444044400196 and 40444044400205.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8229009 + ... + 12190351.

Almost surely, 240444044400240 is an apocalyptic number.

40444044400240 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

40444044400240 is an abundant number, since it is smaller than the sum of its proper divisors (60831961520528).

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

40444044400240 is a wasteful number, since it uses less digits than its factorization.

40444044400240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3971186 (or 3971180 counting only the distinct ones).

The product of its (nonzero) digits is 131072, while the sum is 34.

Adding to 40444044400240 its reverse (4200444044404), we get a palindrome (44644488444644).

The spelling of 40444044400240 in words is "forty trillion, four hundred forty-four billion, forty-four million, four hundred thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 13 16 20 26 40 52 65 80 104 130 208 260 520 1040 9817 19634 39268 49085 78536 98170 127621 157072 196340 255242 392680 510484 638105 785360 1020968 1276210 2041936 2552420 3961343 5104840 7922686 10209680 15845372 19806715 31690744 39613430 51497459 63381488 79226860 102994918 158453720 205989836 257487295 316907440 411979672 514974590 823959344 1029949180 2059898360 4119796720 38888504231 77777008462 155554016924 194442521155 311108033848 388885042310 505550555003 622216067696 777770084620 1011101110006 1555540169240 2022202220012 2527752775015 3111080338480 4044404440024 5055505550030 8088808880048 10111011100060 20222022200120 40444044400240