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4404131323020 = 223251113171100673
BaseRepresentation
bin100000000010110101010…
…1011101101110010001100
3120121000211111002000200200
41000011222223231302030
51034124130104314040
613211121402453500
7633121323401502
oct100055253556214
916530744060620
104404131323020
111448866353110
125b1672804290
1325c4003181c0
1411323807c672
1579865419630
hex4016aaedc8c

4404131323020 has 144 divisors (see below), whose sum is σ = 15694722624672. Its totient is φ = 985539870720.

The previous prime is 4404131323001. The next prime is 4404131323069. The reversal of 4404131323020 is 203231314044.

4404131323020 is a `hidden beast` number, since 4 + 4 + 0 + 41 + 313 + 2 + 302 + 0 = 666.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 85524597 + ... + 85576076.

It is an arithmetic number, because the mean of its divisors is an integer number (108991129338).

Almost surely, 24404131323020 is an apocalyptic number.

It is an amenable number.

4404131323020 is an abundant number, since it is smaller than the sum of its proper divisors (11290591301652).

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

4404131323020 is a wasteful number, since it uses less digits than its factorization.

4404131323020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 171100712 (or 171100707 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

Adding to 4404131323020 its reverse (203231314044), we get a palindrome (4607362637064).

The spelling of 4404131323020 in words is "four trillion, four hundred four billion, one hundred thirty-one million, three hundred twenty-three thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 11 12 13 15 18 20 22 26 30 33 36 39 44 45 52 55 60 65 66 78 90 99 110 117 130 132 143 156 165 180 195 198 220 234 260 286 330 390 396 429 468 495 572 585 660 715 780 858 990 1170 1287 1430 1716 1980 2145 2340 2574 2860 4290 5148 6435 8580 12870 25740 171100673 342201346 513302019 684402692 855503365 1026604038 1539906057 1711006730 1882107403 2053208076 2224308749 2566510095 3079812114 3422013460 3764214806 4448617498 5133020190 5646322209 6159624228 6672926247 7528429612 7699530285 8897234996 9410537015 10266040380 11121543745 11292644418 13345852494 15399060570 16938966627 18821074030 20018778741 22243087490 22585288836 24467396239 26691704988 28231611045 30798121140 33364631235 33877933254 37642148060 40037557482 44486174980 48934792478 56463222090 66729262470 67755866508 73402188717 80075114964 84694833135 97869584956 100093893705 112926444180 122336981195 133458524940 146804377434 169389666270 200187787410 220206566151 244673962390 293608754868 338779332540 367010943585 400375574820 440413132302 489347924780 734021887170 880826264604 1101032830755 1468043774340 2202065661510 4404131323020