428813231968000
428,813,231,968,000 is an even composite number composed of five prime numbers multiplied together.
428813231968000 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one thousand, two hundred ninety-six divisors.
Prime factorization of 428813231968000:
28 × 53 × 113 × 192 × 1672
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 5 × 11 × 11 × 11 × 19 × 19 × 167 × 167)See below for interesting mathematical facts about the number 428813231968000 from the Numbermatics database.
Names of 428813231968000
- Cardinal: 428813231968000 can be written as Four hundred twenty-eight trillion, eight hundred thirteen billion, two hundred thirty-one million, nine hundred sixty-eight thousand.
Scientific notation
- Scientific notation: 4.28813231968 × 1014
Factors of 428813231968000
Divisors of 428813231968000
- Number of divisors d(n): 1296
-
Complete list of divisors:
1 2 4 5 8 10 11 16 19 20 22 25 32 38 40 44 50 55 64 76 80 88 95 100 110 121 125 128 152 160 167 176 190 200 209 220 242 250 256 275 304 320 334 352 361 380 400 418 440 475 484 500 550 605 608 640 668 704 722 760 800 835 836 880 950 968 1000 1045 1100 1210 1216 1280 1331 1336 1375 1408 1444 1520 1600 1670 1672 1760 1805 1837 1900 1936 2000 2090 2200 2299 2375 2420 2432 2662 2672 2750 2816 2888 3025 3040 3173 3200 3340 3344 3520 3610 3674 3800 3872 3971 4000 4175 4180 4400 4598 4750 4840 4864 5225 5324 5344 5500 5776 6050 6080 6346 6400 6655 6680 6688 7040 7220 7348 7600 7744 7942 8000 8350 8360 8800 9025 9185 9196 9500 9680 10450 10648 10688 11000 11495 11552 12100 12160 12692 13310 13360 13376 14080 14440 14696 15125 15200 15488 15865 15884 16000 16700 16720 17600 18050 18370 18392 19000 19360 19855 20207 20875 20900 21296 21376 22000 22990 23104 24200 24320 25289 25384 26125 26620 26720 26752 27889 28880 29392 30250 30400 30976 31730 31768 32000 33275 33400 33440 34903 35200 36100 36740 36784 38000 38720 39710 40414 41750 41800 42592 42752 43681 44000 45125 45925 45980 46208 48400 50578 50768 52250 53240 53440 53504 55778 57475 57760 58784 60287 60500 60800 63460 63536 66550 66800 66880 69806 70400 72200 73480 73568 76000 77440 79325 79420 80828 83500 83600 85184 87362 88000 90250 91850 91960 92416 96800 99275 101035 101156 101536 104500 106480 106880 111556 114950 115520 117568 120574 121000 121600 126445 126920 127072 133100 133600 133760 139445 139612 144400 146960 147136 152000 154880 158650 158840 161656 166375 167000 167200 170368 174515 174724 176000 180500 183700 183920 193600 198550 202070 202312 203072 209000 212960 213760 218405 222277 223112 229625 229900 231040 235136 241148 242000 252890 253840 254144 266200 267200 267520 278890 279224 287375 288800 293920 294272 301435 304000 306779 317300 317680 323312 332750 334000 334400 340736 349030 349448 352000 361000 367400 367840 383933 387200 396625 397100 404140 404624 406144 418000 425920 436810 444554 446224 459250 459800 462080 470272 480491 482296 484000 496375 505175 505780 507680 508288 529891 532400 534400 557780 558448 574750 577600 587840 588544 602870 608000 613558 632225 634600 635360 646624 663157 665500 668000 668800 697225 698060 698896 722000 734800 735680 767866 774400 793250 794200 808280 809248 812288 836000 851840 872575 873620 889108 892448 918500 919600 960982 964592 968000 992750 1010350 1011560 1015360 1016576 1059782 1064800 1068800 1092025 1111385 1115560 1116896 1149500 1155200 1175680 1205740 1227116 1264450 1269200 1270720 1293248 1326314 1331000 1336000 1337600 1394450 1396120 1397792 1444000 1469600 1471360 1507175 1533895 1535732 1586500 1588400 1616560 1618496 1672000 1703680 1745150 1747240 1778216 1784896 1837000 1839200 1919665 1921964 1929184 1936000 1985500 2020700 2023120 2030720 2119564 2129600 2184050 2222770 2231120 2233792 2299000 2310400 2351360 2402455 2411480 2454232 2525875 2528900 2538400 2541440 2586496 2649455 2652628 2662000 2672000 2788900 2792240 2795584 2888000 2939200 2942720 3014350 3067790 3071464 3161125 3173000 3176800 3233120 3236992 3315785 3344000 3374569 3486125 3490300 3494480 3556432 3569792 3674000 3678400 3839330 3843928 3858368 3872000 3971000 4041400 4046240 4061440 4223263 4239128 4259200 4362875 4368100 4445540 4462240 4467584 4598000 4804910 4822960 4908464 5051750 5057800 5076800 5082880 5172992 5298910 5305256 5324000 5344000 5460125 5556925 5577800 5584480 5591168 5776000 5828801 5878400 6028700 6135580 6142928 6322250 6346000 6353600 6466240 6473984 6631570 6688000 6749138 6972250 6980600 6988960 7112864 7139584 7294727 7348000 7356800 7535875 7669475 7678660 7687856 7716736 7942000 8082800 8092480 8446526 8478256 8518400 8725750 8736200 8891080 8924480 8935168 9196000 9598325 9609820 9645920 9816928 10067929 10103500 10115600 10153600 10597820 10610512 10648000 10920250 11113850 11155600 11168960 11182336 11552000 11657602 11756800 12012275 12057400 12271160 12285856 12644500 12692000 12707200 12932480 13247275 13263140 13498276 13944500 13961200 13977920 14225728 14589454 14696000 14713600 15071750 15338950 15357320 15375712 15433472 15884000 16165600 16184960 16578925 16872845 16893052 16956512 17451500 17472400 17782160 17848960 18392000 19196650 19219640 19291840 19633856 20135858 20207000 20231200 20307200 21116315 21195640 21221024 21296000 21840500 22227700 22311200 22337920 23315204 24024550 24114800 24542320 24571712 25289000 25384000 25414400 25864960 26494550 26526280 26996552 27784625 27889000 27922400 27955840 28451456 29144005 29178908 29392000 30143500 30677900 30714640 30751424 31768000 32331200 32369920 33157850 33745690 33786104 33913024 34903000 34944800 35564320 35697920 36473635 36784000 37120259 38347375 38393300 38439280 38583680 39267712 40271716 40414000 40462400 42232630 42391280 42442048 42592000 43681000 44455400 44622400 44675840 46630408 47991625 48049100 48229600 49084640 49143424 50339645 50578000 50768000 52989100 53052560 53993104 55569250 55778000 55844800 55911680 56902912 58288010 58357816 58784000 60061375 60287000 61355800 61429280 61502848 63536000 64116811 64662400 66236375 66315700 67491380 67572208 67826048 69806000 69889600 71128640 72947270 73568000 74240518 76694750 76786600 76878560 77167360 78535424 80241997 80543432 80828000 80924800 82894625 84364225 84465260 84782560 84884096 87362000 88910800 89244800 93260816 95983250 96098200 96459200 98169280 98286848 100679290 101156000 101536000 105581575 105978200 106105120 107986208 110747219 111138500 111556000 111689600 116576020 116715632 120122750 120574000 122711600 122858560 123005696 127072000 128233622 129324800 132472750 132631400 134982760 135144416 135652096 139612000 139779200 142257280 145720025 145894540 148481036 153389500 153573200 153757120 160483994 161086864 161656000 161849600 165789250 168728450 168930520 169565120 169768192 174724000 177821600 178489600 182368175 185601295 186521632 191966500 192196400 192918400 196338560 201358580 202312000 211163150 211956400 212210240 215972416 221494438 222277000 223112000 223379200 233152040 233431264 240245500 241148000 245423200 245717120 251698225 256467244 264945500 265262800 269965520 270288832 279224000 279558400 284514560 291440050 291789080 296962072 306779000 307146400 307514240 320584055 320967988 322173728 323312000 331578500 337456900 337861040 339130240 349448000 355643200 364736350 371202590 373043264 383933000 384392800 385836800 392677120 401209985 402717160 404624000 421821125 422326300 423912800 424420480 431944832 442988876 444554000 446224000 466304080 466862528 480491000 482296000 490846400 491434240 503396450 512934488 527907875 529891000 530525600 539931040 540577664 553736095 558448000 582880100 583578160 593924144 613558000 614292800 615028480 641168110 641935976 644347456 646624000 663157000 674913800 675722080 678260480 698896000 705284921 711286400 728600125 729472700 742405180 746086528 767866000 768785600 802419970 805434320 809248000 843642250 844652600 847825600 848840960 863889664 885977752 889108000 892448000 911840875 928006475 932608160 933725056 960982000 964592000 981692800 1006792900 1025868976 1055815750 1059782000 1061051200 1079862080 1081155328 1107472190 1116896000 1165760200 1167156320 1187848288 1218219409 1227116000 1228585600 1258491125 1282336220 1283871952 1288694912 1326314000 1349827600 1351444160 1397792000 1410569842 1422572800 1457200250 1458945400 1484810360 1492173056 1535732000 1537571200 1602920275 1604839940 1610868640 1687284500 1689305200 1695651200 1771955504 1778216000 1823681750 1856012950 1865216320 1867450112 1921964000 1929184000 1963385600 2006049925 2013585800 2051737952 2111631500 2119564000 2122102400 2159724160 2214944380 2331520400 2334312640 2375696576 2436438818 2454232000 2457171200 2516982250 2564672440 2567743904 2577389824 2652628000 2699655200 2702888320 2768680475 2821139684 2914400500 2917890800 2969620720 3071464000 3075142400 3205840550 3209679880 3221737280 3374569000 3378610400 3391302400 3526424605 3543911008 3556432000 3647363500 3712025900 3730432640 3843928000 4012099850 4027171600 4103475904 4223263000 4239128000 4244204800 4319448320 4429888760 4640032375 4663040800 4668625280 4751393152 4872877636 4908464000 5033964500 5129344880 5135487808 5305256000 5399310400 5405776640 5537360950 5642279368 5828801000 5835781600 5939241440 6091097045 6142928000 6411681100 6419359760 6443474560 6749138000 6757220800 7052849210 7087822016 7112864000 7294727000 7424051800 7460865280 7687856000 8014601375 8024199700 8054343200 8206951808 8446526000 8478256000 8859777520 9280064750 9326081600 9337250560 9502786304 9745755272 9816928000 10030249625 10067929000 10258689760 10270975616 10610512000 10798620800 11074721900 11284558736 11657602000 11671563200 11878482880 12182194090 12285856000 12823362200 12838719520 12886949120 13400413499 13498276000 13514441600 13843402375 14105698420 14175644032 14589454000 14848103600 15375712000 16029202750 16048399400 16108686400 16413903616 16893052000 16956512000 17632123025 17719555040 18560129500 18652163200 19491510544 20060499250 20135858000 20517379520 20541951232 21221024000 21597241600 22149443800 22569117472 23315204000 23343126400 23756965760 24364388180 25646724400 25677439040 26800826998 26996552000 27028883200 27686804750 28211396840 28351288064 29178908000 29696207200 30455485225 32058405500 32096798800 32217372800 33786104000 35264246050 35439110080 37120259000 37304326400 38983021088 40120998500 40271716000 41034759040 44298887600 45138234944 46630408000 46686252800 47513931520 48728776360 51293448800 51354878080 53601653996 53993104000 55373609500 56422793680 58357816000 59392414400 60910970450 64116811000 64193597600 64434745600 67002067495 67572208000 70528492100 70878220160 74240518000 77966042176 80241997000 80543432000 82069518080 88160615125 88597775200 90276469888 93260816000 97457552720 102586897600 102709756160 107203307992 107986208000 110747219000 112845587360 116715632000 118784828800 121821940900 128233622000 128387195200 134004134990 135144416000 141056984200 141756440320 148481036000 152277426125 155932084352 160483994000 161086864000 176321230250 177195550400 180552939776 186521632000 194915105440 205173795200 214406615984 221494438000 225691174720 233431264000 237569657600 243643881800 256467244000 256774390400 268008269980 282113968400 296962072000 304554852250 311864168704 320967988000 322173728000 335010337475 352642460500 354391100800 389830210880 410347590400 428813231968 442988876000 451382349440 487287763600 512934488000 513548780800 536016539960 564227936800 593924144000 609109704500 641935976000 670020674950 705284921000 708782201600 779660421760 857626463936 885977752000 902764698880 974575527200 1025868976000 1072033079920 1128455873600 1187848288000 1218219409000 1283871952000 1340041349900 1410569842000 1559320843520 1675051687375 1715252927872 1771955504000 1949151054400 2051737952000 2144066159840 2256911747200 2436438818000 2567743904000 2680082699800 2821139684000 3350103374750 3430505855744 3543911008000 3898302108800 4288132319680 4513823494400 4872877636000 5360165399600 5642279368000 6700206749500 7796604217600 8576264639360 9745755272000 10720330799200 11284558736000 13400413499000 17152529278720 19491510544000 21440661598400 22569117472000 26800826998000 38983021088000 42881323196800 53601653996000 85762646393600 107203307992000 214406615984000 428813231968000
- Sum of all divisors σ(n): 1247535127264608
- Sum of proper divisors (its aliquot sum) s(n): 818721895296608
- 428813231968000 is an abundant number, because the sum of its proper divisors (818721895296608) is greater than itself. Its abundance is 389908663328608
Bases of 428813231968000
- Binary: 11000011000000000110111000101110111001111000000002
- Hexadecimal: 0x18600DC5DCF00
- Base-36: 48022UOMPS
Squares and roots of 428813231968000
- 428813231968000 squared (4288132319680002) is 183880787910841777153024000000
- 428813231968000 cubed (4288132319680003) is 78850514960870405088465043144671232000000000
-
The
square root of 428813231968000 is 20707806.0636079939 -
The
cube root of 428813231968000 is 75408.9208844197
Scales and comparisons
How big is 428813231968000?- 428,813,231,968,000 seconds is equal to 13,634,934 years, 19 weeks, 1 day, 17 hours, 46 minutes, 40 seconds.
-
To count from 1 to 428,813,231,968,000 would take you about thirty-four million, eighty-seven thousand, three hundred thirty-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 428813231968000 cubic inches would be around 6284.1 feet tall.
Recreational maths with 428813231968000
- 428813231968000 backwards is 000869132318824
- 428813231968000 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 428813231968000's digits is 55
- More coming soon!
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Numbermatics. (2024). Number 428813231968000 - Facts about the integer. Retrieved 5 June 2024, from https://numbermatics.com/n/428813231968000/
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The information we have on file for 428813231968000 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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