42298288480864000
42,298,288,480,864,000 is an even composite number composed of five prime numbers multiplied together.
What does the number 42298288480864000 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 1728 divisors.
42298288480864000 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one thousand, seven hundred twenty-eight divisors.
Prime factorization of 42298288480864000:
28 × 53 × 133 × 412 × 713
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 5 × 13 × 13 × 13 × 41 × 41 × 71 × 71 × 71)See below for interesting mathematical facts about the number 42298288480864000 from the Numbermatics database.
Names of 42298288480864000
- Cardinal: 42298288480864000 can be written as Forty-two quadrillion, two hundred ninety-eight trillion, two hundred eighty-eight billion, four hundred eighty million, eight hundred sixty-four thousand.
Scientific notation
- Scientific notation: 4.2298288480864 × 1016
Factors of 42298288480864000
Divisors of 42298288480864000
- Number of divisors d(n): 1728
-
Complete list of divisors:
1 2 4 5 8 10 13 16 20 25 26 32 40 41 50 52 64 65 71 80 82 100 104 125 128 130 142 160 164 169 200 205 208 250 256 260 284 320 325 328 338 355 400 410 416 500 520 533 568 640 650 656 676 710 800 820 832 845 923 1000 1025 1040 1066 1136 1280 1300 1312 1352 1420 1600 1625 1640 1664 1681 1690 1775 1846 2000 2050 2080 2132 2197 2272 2600 2624 2665 2704 2840 2911 3200 3250 3280 3328 3362 3380 3550 3692 4000 4100 4160 4225 4264 4394 4544 4615 5041 5125 5200 5248 5330 5408 5680 5822 6400 6500 6560 6724 6760 6929 7100 7384 8000 8200 8320 8405 8450 8528 8788 8875 9088 9230 10082 10250 10400 10496 10660 10816 10985 11360 11644 11999 13000 13120 13325 13448 13520 13858 14200 14555 14768 16000 16400 16640 16810 16900 17056 17576 17750 18176 18460 20164 20500 20800 21125 21320 21632 21853 21970 22720 23075 23288 23998 25205 26000 26240 26650 26896 27040 27716 28400 29110 29536 32000 32800 33620 33800 34112 34645 35152 35500 36920 37843 40328 41000 41600 42025 42250 42640 43264 43706 43940 45440 46150 46576 47996 50410 52000 52480 53300 53792 54080 54925 55432 56800 58220 59072 59995 65533 65600 66625 67240 67600 68224 69290 70304 71000 72775 73840 75686 80656 82000 83200 84050 84500 85280 87412 87880 90077 90880 92300 93152 95992 100820 104000 106600 107584 108160 109265 109850 110864 113600 115375 116440 118144 119351 119990 126025 131066 131200 133250 134480 135200 136448 138580 140608 142000 145550 147680 151372 155987 161312 164000 168100 169000 170560 173225 174824 175760 180154 184600 186304 189215 191984 201640 206681 208000 210125 213200 215168 216320 218530 219700 221728 227200 230750 232880 236288 238702 239980 252050 262132 262400 266500 268960 270400 274625 277160 281216 284000 284089 291100 295360 299975 302744 311974 322624 327665 328000 336200 338000 341120 346450 349648 351520 357911 360308 363875 369200 372608 378430 383968 403280 413362 416000 420250 426400 430336 437060 439400 443456 450385 454400 461500 465760 477404 479960 491959 504100 524264 533000 537920 540800 546325 549250 554320 562432 568000 568178 582200 590720 596755 599950 605488 623948 630125 645248 655330 656000 672400 676000 682240 692900 699296 703040 715822 720616 727750 738400 745216 756860 767936 779935 806560 826724 840500 851929 852800 866125 874120 878800 886912 900770 923000 931520 946075 954808 959920 983918 1008200 1033405 1048528 1066000 1075840 1081600 1092650 1098500 1108640 1136000 1136356 1164400 1181440 1193510 1199900 1210976 1247896 1260250 1290496 1310660 1312000 1344800 1352000 1385800 1398592 1406080 1420445 1431644 1441232 1455500 1476800 1499875 1513720 1535872 1551563 1559870 1613120 1638325 1653448 1681000 1703858 1705600 1732250 1748240 1757600 1773824 1789555 1801540 1846000 1863040 1892150 1909616 1919840 1967836 2016400 2066810 2097056 2132000 2151680 2185300 2197000 2217280 2251925 2272000 2272712 2328800 2387020 2399800 2421952 2459795 2495792 2520500 2621320 2686853 2689600 2704000 2731625 2771600 2797184 2812160 2840890 2863288 2882464 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41336200 41941120 42369605 42596450 42989648 43706000 44300308 44345600 44738875 45038500 45454240 45812608 46528430 46576000 47740400 47996000 48439040 49195900 49650016 49915840 51163736 51670250 52426400 52910336 53737060 53792000 54523456 55375385 55432000 56817800 57265760 57649280 58697404 59090512 59675500 60486959 60548800 61494875 62062520 62394800 62970752 63954670 65533000 66137920 67171325 67791368 68154320 69858178 69929600 70304000 71022250 71582200 72061600 72726784 73371755 73863140 74445488 75686000 76384640 76793600 77578150 77993500 78713440 80656000 80681276 82672400 83882240 84739210 85192900 85979296 87412000 88600616 89477750 90077000 90908480 91625216 92328925 93056860 93152000 95480800 95992000 98391800 99300032 99831680 100851595 102327472 103340500 104852800 106491125 107474120 109046912 110160973 110750770 110864000 113635600 114531520 115298560 116321075 117394808 118181024 119351000 120973918 121097600 122989750 124125040 124789600 125941504 127909340 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229134823840 234789616000 240659356400 241947836000 244181200640 247996531900 250285730656 251625749440 257916393176 262214147000 271165472000 279432712000 286418529800 290610020480 297875270992 300824195500 305226500800 309995664875 312857163320 314532186800 317435560832 322395491470 322725104000 335634108160 352515113600 354402464000 358023162250 363262525600 366615718144 372344088740 381533126000 385054970240 387116537600 391071454150 393165233500 396794451040 406714312316 419542635200 440643892000 454078157000 458269647680 465430110925 469579232000 481318712800 483895672000 495993063800 500571461312 503251498880 508392890395 515832786352 524428294000 558865424000 572837059600 581220040960 595750541984 601648391000 610453001600 619991329750 625714326640 629064373600 634871121664 644790982940 645450208000 705030227200 716046324500 726525051200 744688177480 763066252000 770109940480 782142908300 786330467000 793588902080 805988728675 813428624632 839085270400 881287784000 908156314000 916539295360 930860221850 962637425600 967791344000 977678635375 991986127600 1001142922624 1006502997760 1016785780790 1031665572704 1048856588000 1117730848000 1145674119200 1191501083968 1203296782000 1220906003200 1239982659500 1251428653280 1258128747200 1289581965880 1321821515027 1432092649000 1453050102400 1489376354960 1526132504000 1564285816600 1572660934000 1587177804160 1611977457350 1626857249264 1678170540800 1762575568000 1816312628000 1833078590720 1861720443700 1925274851200 1935582688000 1955357270750 1983972255200 2002285845248 2033571561580 2063331145408 2097713176000 2291348238400 2327150554625 2383002167936 2406593564000 2479965319000 2502857306560 2516257494400 2541964451975 2579163931760 2643643030054 2864185298000 2906100204800 2978752709920 3052265008000 3128571633200 3145321868000 3174355608320 3223954914700 3253714498528 3525151136000 3632625256000 3723440887400 3850549702400 3910714541500 3967944510400 4029943643375 4067143123160 4126662290816 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37234408874000 39679445104000 40671431231600 41266622908160 42298288480864 45826964768000 50057146131200 50839289039500 51583278635200 52872860601080 59575054198400 62571432664000 64479098294000 65074289970560 66091075751350 74468817748000 79358890208000 81342862463200 84596576961728 101678578079000 103166557270400 105745721202160 119150108396800 125142865328000 128958196588000 130148579941120 132182151502700 148937635496000 162685724926400 165227689378375 169193153923456 203357156158000 206333114540800 211491442404320 250285730656000 257916393176000 264364303005400 297875270992000 325371449852800 330455378756750 338386307846912 406714312316000 422982884808640 515832786352000 528728606010800 595750541984000 650742899705600 660910757513500 813428624632000 845965769617280 1031665572704000 1057457212021600 1321821515027000 1626857249264000 1691931539234560 2114914424043200 2643643030054000 3253714498528000 4229828848086400 5287286060108000 8459657696172800 10574572120216000 21149144240432000 42298288480864000
- Sum of all divisors σ(n): 118670581582076160
- Sum of proper divisors (its aliquot sum) s(n): 76372293101212160
- 42298288480864000 is an abundant number, because the sum of its proper divisors (76372293101212160) is greater than itself. Its abundance is 34074004620348160
Bases of 42298288480864000
- Binary: 100101100100011000010001101110111000001001000111000000002
- Hexadecimal: 0x964611BB824700
- Base-36: BKHHPH027LS
Squares and roots of 42298288480864000
- 42298288480864000 squared (422982884808640002) is 1789145208410392152894186496000000
- 42298288480864000 cubed (422982884808640003) is 75677780159498310973113146142828943212544000000000
-
The
square root of 42298288480864000 is 205665477.1245383325 -
The
cube root of 42298288480864000 is 348423.6277582381
Scales and comparisons
How big is 42298288480864000?- 42,298,288,480,864,000 seconds is equal to 1,344,954,736 years, 25 weeks, 5 days, 1 hour, 46 minutes, 40 seconds.
-
To count from 1 to 42,298,288,480,864,000 would take you about four billion, thirty-four million, eight hundred sixty-four thousand, two hundred nine 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 42298288480864000 cubic inches would be around 29035.3 feet tall.
Recreational maths with 42298288480864000
- 42298288480864000 backwards is 00046808488289224
- The number of decimal digits it has is: 17
- The sum of 42298288480864000's digits is 73
- More coming soon!
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"Number 42298288480864000 - Facts about the integer". Numbermatics.com. 2024. Web. 14 May 2024.
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Numbermatics. (2024). Number 42298288480864000 - Facts about the integer. Retrieved 14 May 2024, from https://numbermatics.com/n/42298288480864000/
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The information we have on file for 42298288480864000 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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