42100457984000
42,100,457,984,000 is an even composite number composed of five prime numbers multiplied together.
42100457984000 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of six hundred twenty-four divisors.
Prime factorization of 42100457984000:
212 × 53 × 132 × 193 × 2521
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 5 × 13 × 13 × 193 × 2521)See below for interesting mathematical facts about the number 42100457984000 from the Numbermatics database.
Names of 42100457984000
- Cardinal: 42100457984000 can be written as Forty-two trillion, one hundred billion, four hundred fifty-seven million, nine hundred eighty-four thousand.
Scientific notation
- Scientific notation: 4.2100457984 × 1013
Factors of 42100457984000
Divisors of 42100457984000
- Number of divisors d(n): 624
-
Complete list of divisors:
1 2 4 5 8 10 13 16 20 25 26 32 40 50 52 64 65 80 100 104 125 128 130 160 169 193 200 208 250 256 260 320 325 338 386 400 416 500 512 520 640 650 676 772 800 832 845 965 1000 1024 1040 1280 1300 1352 1544 1600 1625 1664 1690 1930 2000 2048 2080 2509 2521 2560 2600 2704 3088 3200 3250 3328 3380 3860 4000 4096 4160 4225 4825 5018 5042 5120 5200 5408 6176 6400 6500 6656 6760 7720 8000 8320 8450 9650 10036 10084 10240 10400 10816 12352 12545 12605 12800 13000 13312 13520 15440 16000 16640 16900 19300 20072 20168 20480 20800 21125 21632 24125 24704 25090 25210 25600 26000 26624 27040 30880 32000 32617 32773 33280 33800 38600 40144 40336 41600 42250 43264 48250 49408 50180 50420 51200 52000 53248 54080 61760 62725 63025 64000 65234 65546 66560 67600 77200 80288 80672 83200 84500 86528 96500 98816 100360 100840 102400 104000 108160 123520 125450 126050 128000 130468 131092 133120 135200 154400 160576 161344 163085 163865 166400 169000 173056 193000 197632 200720 201680 208000 216320 247040 250900 252100 256000 260936 262184 266240 270400 308800 313625 315125 321152 322688 326170 327730 332800 338000 346112 386000 395264 401440 403360 416000 426049 432640 486553 494080 501800 504200 512000 521872 524368 540800 617600 627250 630250 642304 645376 652340 655460 665600 676000 692224 772000 790528 802880 806720 815425 819325 832000 852098 865280 973106 988160 1003600 1008400 1043744 1048736 1081600 1235200 1254500 1260500 1284608 1290752 1304680 1310920 1331200 1352000 1544000 1605760 1613440 1630850 1638650 1664000 1704196 1730560 1946212 1976320 2007200 2016800 2087488 2097472 2130245 2163200 2432765 2470400 2509000 2521000 2569216 2581504 2609360 2621840 2704000 3088000 3211520 3226880 3261700 3277300 3328000 3408392 3461120 3892424 3952640 4014400 4033600 4077125 4096625 4174976 4194944 4260490 4326400 4865530 4940800 5018000 5042000 5138432 5163008 5218720 5243680 5408000 6176000 6325189 6423040 6453760 6523400 6554600 6656000 6816784 7784848 8028800 8067200 8154250 8193250 8349952 8389888 8520980 8652800 9731060 9881600 10036000 10084000 10276864 10326016 10437440 10487360 10651225 10816000 12163825 12352000 12650378 12846080 12907520 13046800 13109200 13633568 15569696 16057600 16134400 16308500 16386500 16699904 16779776 17041960 17305600 19462120 19763200 20072000 20168000 20874880 20974720 21302450 21632000 24327650 24704000 25300756 25692160 25815040 26093600 26218400 27267136 31139392 31625945 32115200 32268800 32617000 32773000 33399808 33559552 34083920 38924240 40144000 40336000 41749760 41949440 42604900 43264000 48655300 49408000 50601512 51384320 51630080 52187200 52436800 53256125 54534272 60819125 62278784 63251890 64230400 64537600 65234000 65546000 66799616 67119104 68167840 77848480 80288000 80672000 82227457 83499520 83898880 85209800 86528000 97310600 98816000 101203024 104374400 104873600 106512250 109068544 121638250 124557568 126503780 128460800 129075200 130468000 131092000 133599232 134238208 136335680 155696960 158129725 160576000 161344000 164454914 166999040 167797760 170419600 194621200 202406048 208748800 209747200 213024500 218137088 243276500 249115136 253007560 256921600 258150400 260936000 262184000 272671360 311393920 316259450 321152000 322688000 328909828 333998080 335595520 340839200 389242400 404812096 411137285 417497600 419494400 426049000 436274176 486553000 498230272 506015120 521872000 524368000 545342720 622787840 632518900 642304000 645376000 657819656 667996160 671191040 681678400 778484800 790648625 809624192 822274570 834995200 838988800 852098000 872548352 973106000 996460544 1012030240 1043744000 1048736000 1090685440 1245575680 1265037800 1284608000 1290752000 1315639312 1363356800 1556969600 1581297250 1619248384 1644549140 1669990400 1677977600 1704196000 1745096704 1946212000 1992921088 2024060480 2055686425 2087488000 2097472000 2181370880 2491151360 2530075600 2631278624 2726713600 3113939200 3162594500 3238496768 3289098280 3339980800 3355955200 3408392000 3892424000 4048120960 4111372850 4174976000 4194944000 4362741760 4982302720 5060151200 5262557248 5453427200 6227878400 6325189000 6476993536 6578196560 6816784000 7784848000 8096241920 8222745700 8349952000 8389888000 8725483520 9964605440 10120302400 10278432125 10525114496 10906854400 12455756800 12650378000 12953987072 13156393120 13633568000 15569696000 16192483840 16445491400 16699904000 16779776000 20240604800 20556864250 21050228992 21813708800 24911513600 25300756000 25907974144 26312786240 27267136000 31139392000 32384967680 32890982800 40481209600 41113728500 42100457984 43627417600 49823027200 50601512000 52625572480 54534272000 62278784000 64769935360 65781965600 80962419200 82227457000 84200915968 101203024000 105251144960 109068544000 124557568000 129539870720 131563931200 161924838400 164454914000 168401831936 202406048000 210502289920 218137088000 249115136000 263127862400 323849676800 328909828000 336803663872 404812096000 421004579840 526255724800 647699353600 657819656000 809624192000 842009159680 1052511449600 1315639312000 1619248384000 1684018319360 2105022899200 2631278624000 3238496768000 4210045798400 5262557248000 8420091596800 10525114496000 21050228992000 42100457984000
- Sum of all divisors σ(n): 114408798879024
- Sum of proper divisors (its aliquot sum) s(n): 72308340895024
- 42100457984000 is an abundant number, because the sum of its proper divisors (72308340895024) is greater than itself. Its abundance is 30207882911024
Bases of 42100457984000
- Binary: 10011001001010010001101101011111010000000000002
- Hexadecimal: 0x264A46D7D000
- Base-36: EX8OLOJY8
Squares and roots of 42100457984000
- 42100457984000 squared (421004579840002) is 1772448562462549344256000000
- 42100457984000 cubed (421004579840003) is 74620896232755758241376479739904000000000
-
The
square root of 42100457984000 is 6488486.5711504713 -
The
cube root of 42100457984000 is 34787.9582417687
Scales and comparisons
How big is 42100457984000?- 42,100,457,984,000 seconds is equal to 1,338,664 years, 17 weeks, 4 days, 6 hours, 13 minutes, 20 seconds.
-
To count from 1 to 42,100,457,984,000 would take you about three million, three hundred forty-six thousand, six hundred sixty 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 42100457984000 cubic inches would be around 2899 feet tall.
Recreational maths with 42100457984000
- 42100457984000 backwards is 00048975400124
- The number of decimal digits it has is: 14
- The sum of 42100457984000's digits is 44
- More coming soon!
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