42928524864000
42,928,524,864,000 is an even composite number composed of five prime numbers multiplied together.
What does the number 42928524864000 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 1080 divisors.
42928524864000 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one thousand and eighty divisors.
Prime factorization of 42928524864000:
29 × 32 × 53 × 892 × 972
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 5 × 5 × 89 × 89 × 97 × 97)See below for interesting mathematical facts about the number 42928524864000 from the Numbermatics database.
Names of 42928524864000
- Cardinal: 42928524864000 can be written as Forty-two trillion, nine hundred twenty-eight billion, five hundred twenty-four million, eight hundred sixty-four thousand.
Scientific notation
- Scientific notation: 4.2928524864 × 1013
Factors of 42928524864000
Divisors of 42928524864000
- Number of divisors d(n): 1080
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 25 30 32 36 40 45 48 50 60 64 72 75 80 89 90 96 97 100 120 125 128 144 150 160 178 180 192 194 200 225 240 250 256 267 288 291 300 320 356 360 375 384 388 400 445 450 480 485 500 512 534 576 582 600 640 712 720 750 768 776 800 801 873 890 900 960 970 1000 1068 1125 1152 1164 1200 1280 1335 1424 1440 1455 1500 1536 1552 1600 1602 1746 1780 1800 1920 1940 2000 2136 2225 2250 2304 2328 2400 2425 2560 2670 2848 2880 2910 3000 3104 3200 3204 3492 3560 3600 3840 3880 4000 4005 4272 4365 4450 4500 4608 4656 4800 4850 5340 5696 5760 5820 6000 6208 6400 6408 6675 6984 7120 7200 7275 7680 7760 7921 8000 8010 8544 8633 8730 8900 9000 9312 9409 9600 9700 10680 11125 11392 11520 11640 12000 12125 12416 12800 12816 13350 13968 14240 14400 14550 15520 15842 16000 16020 17088 17266 17460 17800 18000 18624 18818 19200 19400 20025 21360 21825 22250 22784 23040 23280 23763 24000 24250 24832 25632 25899 26700 27936 28227 28480 28800 29100 31040 31684 32000 32040 33375 34176 34532 34920 35600 36000 36375 37248 37636 38400 38800 39605 40050 42720 43165 43650 44500 45568 46560 47045 47526 48000 48500 49664 51264 51798 53400 55872 56454 56960 57600 58200 62080 63368 64000 64080 66750 68352 69064 69840 71200 71289 72000 72750 74496 75272 77600 77697 79210 80100 84681 85440 86330 87300 89000 93120 94090 95052 96000 97000 100125 102528 103596 106800 109125 111744 112908 113920 115200 116400 118815 124160 126736 128160 129495 133500 136704 138128 139680 141135 142400 142578 144000 145500 148992 150544 155200 155394 158420 160200 169362 170880 172660 174600 178000 186240 188180 190104 192000 194000 198025 200250 205056 207192 213600 215825 218250 223488 225816 227840 232800 235225 237630 248320 253472 256320 258990 267000 276256 279360 282270 284800 285156 288000 291000 301088 310400 310788 316840 320400 338724 341760 345320 349200 356000 356445 372480 376360 380208 388000 388485 396050 400500 410112 414384 423405 427200 431650 436500 446976 451632 465600 470450 475260 506944 512640 517980 534000 552512 558720 564540 569600 570312 576000 582000 594075 602176 620800 621576 633680 640800 647475 677448 683520 690640 698400 705675 712000 712890 744960 752720 760416 768337 776000 776970 792100 801000 828768 837401 846810 854400 863300 873000 903264 931200 940900 950520 990125 1013888 1025280 1035960 1068000 1079125 1105024 1117440 1129080 1139200 1140624 1164000 1176125 1188150 1204352 1241600 1243152 1267360 1281600 1294950 1354896 1381280 1396800 1411350 1424000 1425780 1505440 1520832 1536674 1552000 1553940 1584200 1602000 1657536 1674802 1693620 1708800 1726600 1746000 1782225 1806528 1862400 1881800 1901040 1942425 1980250 2027776 2050560 2071920 2117025 2136000 2158250 2210048 2234880 2258160 2281248 2305011 2328000 2352250 2376300 2408704 2486304 2512203 2534720 2563200 2589900 2709792 2762560 2793600 2822700 2848000 2851560 2970375 3010880 3041664 3073348 3104000 3107880 3168400 3204000 3237375 3315072 3349604 3387240 3417600 3453200 3492000 3528375 3564450 3613056 3724800 3763600 3802080 3841685 3884850 3960500 4055552 4143840 4187005 4234050 4272000 4316500 4420096 4516320 4562496 4610022 4656000 4704500 4752600 4817408 4972608 5024406 5069440 5126400 5179800 5419584 5525120 5587200 5645400 5696000 5703120 5940750 6021760 6083328 6146696 6208000 6215760 6336800 6408000 6474750 6630144 6699208 6774480 6906400 6915033 6984000 7056750 7128900 7226112 7527200 7536609 7604160 7683370 7769700 7921000 8287680 8374010 8468100 8544000 8633000 8911125 9032640 9124992 9220044 9312000 9409000 9505200 9712125 9945216 10048812 10138880 10252800 10359600 10585125 10839168 11050240 11174400 11290800 11406240 11525055 11881500 12043520 12166656 12293392 12431520 12561015 12673600 12816000 12949500 13260288 13398416 13548960 13812800 13830066 13968000 14113500 14257800 14452224 15054400 15073218 15208320 15366740 15539400 15842000 16575360 16748020 16936200 17088000 17266000 17822250 18065280 18249984 18440088 18624000 18818000 19010400 19208425 19424250 19890432 20097624 20277760 20719200 20935025 21170250 21678336 22100480 22581600 22812480 23050110 23763000 24087040 24586784 24863040 25122030 25347200 25632000 25899000 26796832 27097920 27625600 27660132 27936000 28227000 28515600 30108800 30146436 30416640 30733480 31078800 31684000 33150720 33496040 33872400 34532000 34575165 35644500 36130560 36499968 36880176 37636000 37683045 38020800 38416850 38848500 39780864 40195248 41438400 41870050 42340500 43356672 45163200 45624960 46100220 47526000 49173568 49726080 50244060 50694400 51264000 51798000 53593664 54195840 55251200 55320264 55872000 56454000 57031200 57625275 60217600 60292872 60833280 61466960 62157600 62805075 63368000 66301440 66992080 67744800 69064000 69150330 71289000 72261120 73760352 74528689 75272000 75366090 76041600 76833700 77697000 80390496 82876800 83740100 84681000 90326400 91249920 92200440 95052000 96042125 98347136 99452160 100488120 101388800 103596000 104675125 107187328 108391680 110502400 110640528 112908000 114062400 115250550 120435200 120585744 122933920 124315200 125610150 126736000 133984160 135489600 138128000 138300660 142578000 147520704 149057378 150544000 150732180 152083200 153667400 155394000 160780992 165753600 167480200 169362000 172875825 180652800 182499840 184400880 188415225 190104000 192084250 196694272 198904320 200976240 207192000 209350250 214374656 216783360 221281056 223586067 225816000 228124800 230501100 241171488 245867840 248630400 251220300 253472000 267968320 270979200 276256000 276601320 285156000 288126375 295041408 298114756 301088000 301464360 304166400 307334800 310788000 314025375 321561984 331507200 334960400 338724000 345751650 361305600 368801760 372643445 376830450 380208000 384168500 393388544 401952480 414384000 418700500 428749312 442562112 447172134 451632000 456249600 461002200 482342976 491735680 497260800 502440600 506944000 535936640 541958400 552512000 553202640 570312000 576252750 590082816 596229512 602176000 602928720 614669600 621576000 628050750 643123968 669920800 670758201 677448000 691503300 737603520 745286890 753660900 760416000 768337000 803904960 828768000 837401000 864379125 885124224 894344268 903264000 912499200 922004400 942076125 964685952 983471360 994521600 1004881200 1071873280 1083916800 1106405280 1117930335 1140624000 1152505500 1180165632 1192459024 1205857440 1229339200 1243152000 1256101500 1286247936 1339841600 1341516402 1354896000 1383006600 1475207040 1490573780 1507321800 1520832000 1536674000 1607809920 1657536000 1674802000 1728758250 1770248448 1788688536 1806528000 1844008800 1863217225 1884152250 1929371904 1966942720 2009762400 2143746560 2212810560 2235860670 2281248000 2305011000 2384918048 2411714880 2458678400 2486304000 2512203000 2679683200 2683032804 2709792000 2766013200 2950414080 2981147560 3014643600 3073348000 3215619840 3349604000 3353791005 3457516500 3540496896 3577377072 3688017600 3726434450 3768304500 3858743808 4019524800 4425621120 4471721340 4562496000 4610022000 4769836096 4823429760 4917356800 4972608000 5024406000 5359366400 5366065608 5419584000 5532026400 5589651675 5900828160 5962295120 6029287200 6146696000 6431239680 6699208000 6707582010 6915033000 7154754144 7376035200 7452868900 7536609000 8039049600 8851242240 8943442680 9220044000 9316086125 9539672192 9646859520 9834713600 10048812000 10718732800 10732131216 11064052800 11179303350 11924590240 12058574400 12293392000 13398416000 13415164020 13830066000 14309508288 14752070400 14905737800 15073218000 16078099200 16768955025 17702484480 17886885360 18440088000 18632172250 19079344384 19293719040 20097624000 21464262432 22128105600 22358606700 23849180480 24117148800 24586784000 26796832000 26830328040 27660132000 27948258375 28619016576 29504140800 29811475600 30146436000 32156198400 33537910050 35773770720 36880176000 37264344500 38158688768 40195248000 42928524864 44256211200 44717213400 47698360960 48234297600 49173568000 53593664000 53660656080 55320264000 55896516750 57238033152 59622951200 60292872000 67075820100 71547541440 73760352000 74528689000 80390496000 83844775125 85857049728 88512422400 89434426800 95396721920 96468595200 107321312160 110640528000 111793033500 114476066304 119245902400 120585744000 134151640200 143095082880 147520704000 149057378000 160780992000 167689550250 171714099456 178868853600 190793443840 214642624320 221281056000 223586067000 238491804800 241171488000 268303280400 286190165760 298114756000 335379100500 343428198912 357737707200 429285248640 442562112000 447172134000 476983609600 482342976000 536606560800 572380331520 596229512000 670758201000 715475414400 858570497280 894344268000 953967219200 1073213121600 1192459024000 1341516402000 1430950828800 1717140994560 1788688536000 2146426243200 2384918048000 2683032804000 2861901657600 3577377072000 4292852486400 4769836096000 5366065608000 7154754144000 8585704972800 10732131216000 14309508288000 21464262432000 42928524864000
- Sum of all divisors σ(n): 158006084109588
- Sum of proper divisors (its aliquot sum) s(n): 115077559245588
- 42928524864000 is an abundant number, because the sum of its proper divisors (115077559245588) is greater than itself. Its abundance is 72149034381588
Bases of 42928524864000
- Binary: 10011100001011000100110111100110101010000000002
- Hexadecimal: 0x270B1379AA00
- Base-36: F7T3BBLS0
Squares and roots of 42928524864000
- 42928524864000 squared (429285248640002) is 1842858246999066218496000000
- 42928524864000 cubed (429285248640003) is 79111186077126867545487992684544000000000
-
The
square root of 42928524864000 is 6551986.3296560687 -
The
cube root of 42928524864000 is 35014.5585322649
Scales and comparisons
How big is 42928524864000?- 42,928,524,864,000 seconds is equal to 1,364,994 years, 15 weeks, 5 days, 16 hours.
-
To count from 1 to 42,928,524,864,000 would take you about three million, four hundred twelve thousand, four hundred eighty-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 42928524864000 cubic inches would be around 2917.9 feet tall.
Recreational maths with 42928524864000
- 42928524864000 backwards is 00046842582924
- The number of decimal digits it has is: 14
- The sum of 42928524864000's digits is 54
- More coming soon!
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Numbermatics. (2024). Number 42928524864000 - Facts about the integer. Retrieved 9 June 2024, from https://numbermatics.com/n/42928524864000/
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The information we have on file for 42928524864000 includes mathematical data and numerical statistics calculated using standard algorithms and methods. We are adding more all the time. If there are any features you would like to see, please contact us. Information provided for educational use, intellectual curiosity and fun!
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