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4044404422440 = 2332531335892833
BaseRepresentation
bin111010110110101001010…
…010011111011100101000
3112022122022111110002011200
4322312221102133130220
51012230420013004230
612333550154524200
7565125053241504
oct72665122373450
915278274402150
104044404422440
11131a24994a458
125539baa36660
132345024cbc05
14dda70857304
157030e4a1160
hex3ada949f728

4044404422440 has 96 divisors (see below), whose sum is σ = 13186309354920. Its totient is φ = 1075062104064.

The previous prime is 4044404422403. The next prime is 4044404422453. The reversal of 4044404422440 is 442244044404.

4044404422440 is a `hidden beast` number, since 4 + 0 + 4 + 4 + 404 + 4 + 2 + 244 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1077032991204 + 2967371431236 = 1037802^2 + 1722606^2 .

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 = 4044404422395 and 4044404422404.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 17833737 + ... + 18059096.

Almost surely, 24044404422440 is an apocalyptic number.

4044404422440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4044404422440 is an abundant number, since it is smaller than the sum of its proper divisors (9141904932480).

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

4044404422440 is a wasteful number, since it uses less digits than its factorization.

4044404422440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35893163 (or 35893156 counting only the distinct ones).

The product of its (nonzero) digits is 262144, while the sum is 36.

Adding to 4044404422440 its reverse (442244044404), we get a palindrome (4486648466844).

The spelling of 4044404422440 in words is "four trillion, forty-four billion, four hundred four million, four hundred twenty-two thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 313 360 626 939 1252 1565 1878 2504 2817 3130 3756 4695 5634 6260 7512 9390 11268 12520 14085 18780 22536 28170 37560 56340 112680 35892833 71785666 107678499 143571332 179464165 215356998 287142664 323035497 358928330 430713996 538392495 646070994 717856660 861427992 1076784990 1292141988 1435713320 1615177485 2153569980 2584283976 3230354970 4307139960 6460709940 11234456729 12921419880 22468913458 33703370187 44937826916 56172283645 67406740374 89875653832 101110110561 112344567290 134813480748 168516850935 202220221122 224689134580 269626961496 337033701870 404440442244 449378269160 505550552805 674067403740 808880884488 1011101105610 1348134807480 2022202211220 4044404422440