42044414201664
42,044,414,201,664 is an even composite number composed of seven prime numbers multiplied together.
42044414201664 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of four hundred forty-eight divisors.
Prime factorization of 42044414201664:
26 × 3 × 7 × 17 × 23 × 229 × 349379
(2 × 2 × 2 × 2 × 2 × 2 × 3 × 7 × 17 × 23 × 229 × 349379)See below for interesting mathematical facts about the number 42044414201664 from the Numbermatics database.
Names of 42044414201664
- Cardinal: 42044414201664 can be written as Forty-two trillion, forty-four billion, four hundred fourteen million, two hundred one thousand, six hundred sixty-four.
Scientific notation
- Scientific notation: 4.2044414201664 × 1013
Factors of 42044414201664
Divisors of 42044414201664
- Number of divisors d(n): 448
-
Complete list of divisors:
1 2 3 4 6 7 8 12 14 16 17 21 23 24 28 32 34 42 46 48 51 56 64 68 69 84 92 96 102 112 119 136 138 161 168 184 192 204 224 229 238 272 276 322 336 357 368 391 408 448 458 476 483 544 552 644 672 687 714 736 782 816 916 952 966 1088 1104 1173 1288 1344 1374 1428 1472 1564 1603 1632 1832 1904 1932 2208 2346 2576 2737 2748 2856 3128 3206 3264 3664 3808 3864 3893 4416 4692 4809 5152 5267 5474 5496 5712 6256 6412 7328 7616 7728 7786 8211 9384 9618 10304 10534 10948 10992 11424 11679 12512 12824 14656 15456 15572 15801 16422 18768 19236 21068 21896 21984 22848 23358 25024 25648 27251 30912 31144 31602 32844 36869 37536 38472 42136 43792 43968 46716 51296 54502 62288 63204 65688 73738 75072 76944 81753 84272 87584 89539 93432 102592 109004 110607 124576 126408 131376 147476 153888 163506 168544 175168 179078 186864 218008 221214 249152 252816 262752 268617 294952 307776 327012 337088 349379 358156 373728 436016 442428 505632 525504 537234 589904 626773 654024 698758 716312 747456 872032 884856 1011264 1048137 1074468 1179808 1253546 1308048 1397516 1432624 1744064 1769712 1880319 2096274 2148936 2359616 2445653 2507092 2616096 2795032 2865248 3539424 3760638 4192548 4297872 4891306 5014184 5232192 5590064 5730496 5939443 7078848 7336959 7521276 8035717 8385096 8595744 9782612 10028368 11180128 11878886 14673918 15042552 16071434 16770192 17191488 17818329 19565224 20056736 22360256 23757772 24107151 29347836 30085104 32142868 33540384 35636658 39130448 40113472 41576101 47515544 48214302 56250019 58695672 60170208 64285736 67080768 71273316 78260896 80007791 83152202 95031088 96428604 112500038 117391344 120340416 124728303 128571472 136607189 142546632 156521792 160015582 166304404 168750057 190062176 192857208 225000076 234782688 240023373 249456606 257142944 273214378 285093264 320031164 332608808 337500114 380124352 385714416 409821567 450000152 469565376 480046746 498913212 514285888 546428756 560054537 570186528 640062328 665217616 675000228 771428832 819643134 900000304 956250323 960093492 997826424 1092857512 1120109074 1140373056 1280124656 1330435232 1350000456 1360132447 1542857664 1639286268 1680163611 1800000608 1840179193 1912500646 1920186984 1995652848 2185715024 2240218148 2560249312 2660870464 2700000912 2720264894 2868750969 3278572536 3360327222 3600001216 3680358386 3825001292 3840373968 3991305696 4080397341 4371430048 4480436296 5120498624 5400001824 5440529788 5520537579 5737501938 6557145072 6720654444 7360716772 7650002584 7680747936 7982611392 8160794682 8742860096 8960872592 9520927129 10800003648 10881059576 11041075158 11475003876 12881254351 13114290144 13441308888 14721433544 15300005168 15361495872 16321589364 17921745184 19041854258 21762119152 22082150316 22950007752 25762508702 26228580288 26882617776 28562781387 29442867088 30600010336 31283046281 32643178728 35843490368 38083708516 38643763053 43524238304 44164300632 45900015504 51525017404 53765235552 57125562774 58885734176 61200020672 62566092562 65286357456 76167417032 77287526106 87048476608 88328601264 91800031008 93849138843 103050034808 107530471104 114251125548 117771468352 125132185124 130572714912 152334834064 154575052212 176657202528 183600062016 187698277686 206100069616 218981323967 228502251096 250264370248 261145429824 304669668128 309150104424 353314405056 375396555372 412200139232 437962647934 457004502192 500528740496 609339336256 618300208848 656943971901 750793110744 824400278464 875925295868 914009004384 1001057480992 1236600417696 1313887943802 1501586221488 1751850591736 1828018008768 2002114961984 2473200835392 2627775887604 3003172442976 3503701183472 5255551775208 6006344885952 7007402366944 10511103550416 14014804733888 21022207100832 42044414201664
- Sum of all divisors σ(n): 141079308595200
- Sum of proper divisors (its aliquot sum) s(n): 99034894393536
- 42044414201664 is an abundant number, because the sum of its proper divisors (99034894393536) is greater than itself. Its abundance is 56990480191872
Bases of 42044414201664
- Binary: 10011000111101001110100101111110001111010000002
- Hexadecimal: 0x263D3A5F8F40
- Base-36: EWIXQNSQO
Squares and roots of 42044414201664
- 42044414201664 squared (420444142016642) is 1767732765561085450460368896
- 42044414201664 cubed (420444142016643) is 74323288593103279402642976737786777042944
-
The
square root of 42044414201664 is 6484166.4230388165 -
The
cube root of 42044414201664 is 34772.5149060571
Scales and comparisons
How big is 42044414201664?- 42,044,414,201,664 seconds is equal to 1,336,882 years, 16 weeks, 4 days, 8 hours, 54 minutes, 24 seconds.
-
To count from 1 to 42,044,414,201,664 would take you about three million, three hundred forty-two thousand, two hundred five years!
This is a very rough estimate, based on a speaking rate of half a second every third order of magnitude. If you speak quickly, you could probably say any randomly-chosen number between one and a thousand in around half a second. Very big numbers obviously take longer to say, so we add half a second for every extra x1000. (We do not count involuntary pauses, bathroom breaks or the necessity of sleep in our calculation!)
- A cube with a volume of 42044414201664 cubic inches would be around 2897.7 feet tall.
Recreational maths with 42044414201664
- 42044414201664 backwards is 46610241444024
- 42044414201664 is a
Harshad number . - The number of decimal digits it has is: 14
- The sum of 42044414201664's digits is 42
- More coming soon!
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