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4040444426040 = 23325111020314249
BaseRepresentation
bin111010110010111101010…
…000010011011100111000
3112022021002112000102100100
4322302331100103130320
51012144312233113130
612332053214235400
7564624656646501
oct72627520233470
915267075012310
104040444426040
1113185a75a9560
125530947b5b60
13234020c75889
14dd7b6957ba8
157017b9cdc60
hex3acbd413738

4040444426040 has 96 divisors (see below), whose sum is σ = 14325212070000. Its totient is φ = 979501678080.

The previous prime is 4040444426017. The next prime is 4040444426093. The reversal of 4040444426040 is 406244440404.

4040444426040 is a `hidden beast` number, since 4 + 0 + 4 + 0 + 4 + 4 + 4 + 42 + 604 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 4040444425986 and 4040444426004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 510153165 + ... + 510161084.

Almost surely, 24040444426040 is an apocalyptic number.

4040444426040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4040444426040 is an abundant number, since it is smaller than the sum of its proper divisors (10284767643960).

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

4040444426040 is a wasteful number, since it uses less digits than its factorization.

4040444426040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1020314277 (or 1020314270 counting only the distinct ones).

The product of its (nonzero) digits is 196608, while the sum is 36.

Adding to 4040444426040 its reverse (406244440404), we get a palindrome (4446688866444).

It can be divided in two parts, 40404 and 44426040, that added together give a palindrome (44466444).

The spelling of 4040444426040 in words is "four trillion, forty billion, four hundred forty-four million, four hundred twenty-six thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 11 12 15 18 20 22 24 30 33 36 40 44 45 55 60 66 72 88 90 99 110 120 132 165 180 198 220 264 330 360 396 440 495 660 792 990 1320 1980 3960 1020314249 2040628498 3060942747 4081256996 5101571245 6121885494 8162513992 9182828241 10203142490 11223456739 12243770988 15304713735 18365656482 20406284980 22446913478 24487541976 30609427470 33670370217 36731312964 40812569960 44893826956 45914141205 56117283695 61218854940 67340740434 73462625928 89787653912 91828282410 101011110651 112234567390 122437709880 134681480868 168351851085 183656564820 202022221302 224469134780 269362961736 336703702170 367313129640 404044442604 448938269560 505055553255 673407404340 808088885208 1010111106510 1346814808680 2020222213020 4040444426040