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4043404333040 = 245318982322259
BaseRepresentation
bin111010110101101101101…
…011011100111111110000
3112022112201210121021102112
4322311231223130333300
51012221343002124130
612333303031304452
7565061220516122
oct72655553347760
915275653537375
104043404333040
111319886375496
1255377bb1b128
132343a3260137
14dd9b7ac5212
15702a17a3495
hex3ad6dadcff0

4043404333040 has 160 divisors (see below), whose sum is σ = 9825571123200. Its totient is φ = 1545652500480.

The previous prime is 4043404332983. The next prime is 4043404333063. The reversal of 4043404333040 is 403334043404.

It is a junction number, because it is equal to n+sod(n) for n = 4043404332988 and 4043404333006.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 181641431 + ... + 181663689.

It is an arithmetic number, because the mean of its divisors is an integer number (61409819520).

Almost surely, 24043404333040 is an apocalyptic number.

4043404333040 is a gapful number since it is divisible by the number (40) 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 4043404333040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4912785561600).

4043404333040 is an abundant number, since it is smaller than the sum of its proper divisors (5782166790160).

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

4043404333040 is a wasteful number, since it uses less digits than its factorization.

4043404333040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23215 (or 23209 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 32.

Adding to 4043404333040 its reverse (403334043404), we get a palindrome (4446738376444).

The spelling of 4043404333040 in words is "four trillion, forty-three billion, four hundred four million, three hundred thirty-three thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 31 40 62 80 89 124 155 178 248 310 356 445 496 620 712 823 890 1240 1424 1646 1780 2480 2759 3292 3560 4115 5518 6584 7120 8230 11036 13168 13795 16460 22072 22259 25513 27590 32920 44144 44518 51026 55180 65840 73247 89036 102052 110360 111295 127565 146494 178072 204104 220720 222590 255130 292988 356144 366235 408208 445180 510260 585976 690029 732470 890360 1020520 1171952 1380058 1464940 1780720 1981051 2041040 2270657 2760116 2929880 3450145 3962102 4541314 5520232 5859760 6900290 7924204 9082628 9905255 11040464 11353285 13800580 15848408 18165256 18319157 19810510 22706570 27601160 31696816 36330512 36638314 39621020 45413140 55202320 61412581 73276628 79242040 90826280 91595785 122825162 146553256 158484080 181652560 183191570 245650324 293106512 307062905 366383140 491300648 567893867 614125810 732766280 982601296 1135787734 1228251620 1465532560 1630404973 2271575468 2456503240 2839469335 3260809946 4543150936 4913006480 5678938670 6521619892 8152024865 9086301872 11357877340 13043239784 16304049730 22715754680 26086479568 32608099460 45431509360 50542554163 65216198920 101085108326 130432397840 202170216652 252712770815 404340433304 505425541630 808680866608 1010851083260 2021702166520 4043404333040