42428512022400
42,428,512,022,400 is an even composite number composed of six prime numbers multiplied together.
What does the number 42428512022400 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 1440 divisors.
42428512022400 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one thousand, four hundred forty divisors.
Prime factorization of 42428512022400:
27 × 34 × 52 × 7 × 1912 × 641
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 5 × 5 × 7 × 191 × 191 × 641)See below for interesting mathematical facts about the number 42428512022400 from the Numbermatics database.
Names of 42428512022400
- Cardinal: 42428512022400 can be written as Forty-two trillion, four hundred twenty-eight billion, five hundred twelve million, twenty-two thousand, four hundred.
Scientific notation
- Scientific notation: 4.24285120224 × 1013
Factors of 42428512022400
Divisors of 42428512022400
- Number of divisors d(n): 1440
-
Complete list of divisors:
1 2 3 4 5 6 7 8 9 10 12 14 15 16 18 20 21 24 25 27 28 30 32 35 36 40 42 45 48 50 54 56 60 63 64 70 72 75 80 81 84 90 96 100 105 108 112 120 126 128 135 140 144 150 160 162 168 175 180 189 191 192 200 210 216 224 225 240 252 270 280 288 300 315 320 324 336 350 360 378 382 384 400 405 420 432 448 450 480 504 525 540 560 567 573 576 600 630 640 641 648 672 675 700 720 756 764 800 810 840 864 896 900 945 955 960 1008 1050 1080 1120 1134 1146 1152 1200 1260 1282 1296 1337 1344 1350 1400 1440 1512 1528 1575 1600 1620 1680 1719 1728 1800 1890 1910 1920 1923 2016 2025 2100 2160 2240 2268 2292 2400 2520 2564 2592 2674 2688 2700 2800 2835 2865 2880 3024 3056 3150 3200 3205 3240 3360 3438 3456 3600 3780 3820 3846 4011 4032 4050 4200 4320 4480 4487 4536 4584 4725 4775 4800 5040 5128 5157 5184 5348 5400 5600 5670 5730 5760 5769 6048 6112 6300 6410 6480 6685 6720 6876 7200 7560 7640 7692 8022 8064 8100 8400 8595 8640 8974 9072 9168 9450 9550 9600 9615 10080 10256 10314 10368 10696 10800 11200 11340 11460 11538 12033 12096 12224 12600 12820 12960 13370 13440 13461 13752 14175 14325 14400 15120 15280 15384 15471 16025 16044 16200 16800 17190 17280 17307 17948 18144 18336 18900 19100 19230 20055 20160 20512 20628 21392 21600 22400 22435 22680 22920 23076 24066 24192 24448 25200 25640 25785 25920 26740 26922 27504 28350 28650 28800 28845 30240 30560 30768 30942 32050 32088 32400 33425 33600 34380 34614 35896 36099 36288 36481 36672 37800 38200 38460 40110 40320 40383 41024 41256 42784 42975 43200 44870 45360 45840 46152 48075 48132 50400 51280 51570 51840 51921 53480 53844 55008 56700 57300 57690 60165 60480 61120 61536 61884 64100 64176 64800 66850 67200 67305 68760 69228 71792 72198 72576 72962 73344 75600 76400 76920 77355 80220 80766 82048 82512 85568 85950 86400 86535 89740 90720 91680 92304 96150 96264 100275 100800 102560 103140 103842 106960 107688 108297 109443 110016 112175 113400 114600 115380 120330 120960 121149 122240 122431 123072 123768 128200 128352 128925 129600 133700 134610 137520 138456 143584 144225 144396 145924 151200 152800 153840 154710 160440 161532 165024 171136 171900 173070 179480 180495 181440 182405 183360 184608 192300 192528 200550 201600 201915 205120 206280 207684 213920 215376 216594 218886 220032 224350 226800 229200 230760 240660 242298 244862 246144 247536 255367 256400 256704 257850 259200 259605 267400 269220 275040 276912 287168 288450 288792 291848 300825 302400 305600 307680 309420 320880 323064 328329 330048 336525 343800 346140 358960 360990 362880 363447 364810 366720 367293 369216 384600 385056 386775 401100 403830 410240 412560 415368 427840 430752 432675 433188 437772 448700 453600 458400 461520 481320 484596 489724 495072 510734 512800 513408 515700 519210 534800 538440 541485 547215 550080 553824 574336 576900 577584 583696 601650 604800 605745 611200 612155 615360 618840 641760 646128 656658 660096 673050 687600 692280 717920 721980 726894 729620 734586 738432 766101 769200 770112 773550 802200 807660 825120 830736 855680 857017 861504 865350 866376 875544 897400 902475 907200 912025 916800 923040 962640 969192 979448 984987 990144 1009575 1021468 1025600 1031400 1038420 1069600 1076880 1082970 1094430 1100160 1101879 1107648 1153800 1155168 1167392 1203300 1211490 1224310 1230720 1237680 1276835 1283520 1292256 1298025 1313316 1346100 1375200 1384560 1435840 1443960 1453788 1459240 1469172 1532202 1538400 1540224 1547100 1604400 1615320 1641645 1650240 1661472 1714034 1723008 1730700 1732752 1751088 1794800 1804950 1814400 1817235 1824050 1833600 1836465 1846080 1925280 1938384 1958896 1969974 1980288 2019150 2042936 2051200 2062800 2076840 2139200 2153760 2165940 2188860 2203758 2215296 2298303 2307600 2310336 2334784 2406600 2422980 2448620 2475360 2553670 2567040 2571051 2584512 2596050 2626632 2692200 2707425 2736075 2750400 2769120 2871680 2887920 2907576 2918480 2938344 2954961 3028725 3060775 3064404 3076800 3094200 3208800 3230640 3283290 3300480 3305637 3322944 3428068 3461400 3465504 3502176 3589600 3609900 3634470 3648100 3672930 3692160 3830505 3850560 3876768 3917792 3939948 4038300 4085872 4125600 4153680 4278400 4285085 4307520 4331880 4377720 4407516 4596606 4615200 4620672 4669568 4813200 4845960 4897240 4924935 4950720 5107340 5142102 5169024 5192100 5253264 5384400 5414850 5472150 5500800 5509395 5538240 5775840 5815152 5836960 5876688 5909922 6057450 6121550 6128808 6153600 6188400 6384175 6417600 6461280 6566580 6611274 6645888 6856136 6894909 6922800 6931008 7004352 7179200 7219800 7268940 7296200 7345860 7661010 7701120 7713153 7753536 7835584 7879896 8076600 8171744 8208225 8251200 8307360 8570170 8615040 8663760 8755440 8815032 9086175 9182325 9193212 9230400 9626400 9691920 9794480 9849870 9901440 9916911 10214680 10284204 10384200 10506528 10768800 10829700 10944300 11018790 11076480 11491515 11551680 11630304 11673920 11753376 11819844 12114900 12243100 12257616 12376800 12768350 12835200 12855255 12922560 13133160 13222548 13712272 13789818 13845600 13862016 14008704 14358400 14439600 14537880 14592400 14691720 14774805 15322020 15426306 15507072 15671168 15759792 16153200 16343488 16416450 16502400 16528185 16614720 17140340 17327520 17510880 17630064 18172350 18364650 18386424 18460800 19152525 19252800 19383840 19588960 19699740 19833822 20429360 20568408 20684727 20768400 21013056 21425425 21537600 21659400 21888600 22037580 22983030 23103360 23139459 23260608 23347840 23384321 23506752 23639688 24229800 24486200 24515232 24624675 24753600 25536700 25710510 25845120 26266320 26445096 27424544 27546975 27579636 27691200 28879200 29075760 29184800 29383440 29549610 30644040 30852612 31519584 32306400 32686976 32832900 33056370 33229440 34280680 34474545 34655040 35021760 35260128 36344700 36729300 36772848 38305050 38505600 38565765 38767680 39177920 39399480 39667644 40858720 41136816 41369454 41536800 42026112 42850850 43075200 43318800 43777200 44075160 45966060 46278918 46521216 46768642 47013504 47279376 48459600 48972400 49030464 49249350 49507200 49584555 51073400 51421020 52532640 52890192 54849088 55093950 55159272 55382400 57457575 57758400 58151520 58369600 58766880 59099220 61288080 61705224 63039168 64276275 64612800 65665800 66112740 68561360 68949090 69310080 69418377 70043520 70152963 70520256 72689400 73458600 73545696 73874025 76610100 77131530 77535360 78355840 78798960 79335288 81717440 82273632 82640925 82738908 83073600 85701700 86637600 87554400 88150320 91932120 92557836 93537284 94558752 96919200 97944800 98060928 98498700 99169110 102146800 102842040 103423635 105065280 105780384 109698176 110187900 110318544 114915150 115516800 115697295 116303040 116739200 116921605 117533760 118198440 122576160 123410448 126078336 128552550 129225600 131331600 132225480 137122720 137898180 138836754 140305926 141040512 145378800 146917200 147091392 147748050 153220200 154263060 157597920 158670576 163434880 163690247 164547264 165281850 165477816 166147200 171403400 172372725 173275200 175108800 176300640 183864240 185115672 187074568 189117504 192828825 193838400 195889600 196997400 198338220 204293600 205684080 206847270 210130560 210458889 211560768 220375800 220637088 229830300 231394590 232606080 233843210 235067520 236396880 245152320 246820896 247922775 257105100 262663200 264450960 274245440 275796360 277673508 280611852 290757600 293834400 294182784 295496100 306440400 308526120 315195840 317341152 327380494 329094528 330563700 330955632 342806800 344745450 346550400 347091885 350217600 350764815 352601280 367728480 370231344 374149136 378235008 385657650 387676800 391779200 393994800 396676440 408587200 411368160 413694540 420917778 423121536 440751600 441274176 459660600 462789180 467686420 472793760 490304640 491070741 493641792 495845550 514210200 517118175 525326400 528901920 548490880 551592720 555347016 561223704 578486475 581515200 584608025 587668800 590992200 612880800 617052240 630391680 631376667 634682304 654760988 661127400 661911264 685613600 689490900 694183770 701529630 705202560 735456960 740462688 748298272 771315300 787989600 793352880 817174400 818451235 822736320 827389080 841835556 881503200 882548352 919321200 925578360 935372840 945587520 982141482 987283584 991691100 1028420400 1034236350 1050652800 1052294445 1057803840 1103185440 1110694032 1122447408 1156972950 1163030400 1169216050 1175337600 1181984400 1225761600 1234104480 1262753334 1269364608 1309521976 1322254800 1323822528 1371227200 1378981800 1388367540 1403059260 1470913920 1473212223 1480925376 1496596544 1542630600 1575979200 1586705760 1636902470 1645472640 1654778160 1683671112 1735459425 1753824075 1763006400 1838642400 1851156720 1870745680 1891175040 1894130001 1964282964 1983382200 2056840800 2068472700 2104588890 2115607680 2206370880 2221388064 2244894816 2313945900 2338432100 2363968800 2451523200 2455353705 2468208960 2525506668 2619043952 2644509600 2647645056 2742454400 2757963600 2776735080 2806118520 2946424446 2961850752 2993193088 3085261200 3151958400 3156883335 3173411520 3273804940 3309556320 3367342224 3470918850 3507648150 3526012800 3677284800 3702313440 3741491360 3788260002 3928565928 3966764400 4092256175 4113681600 4136945400 4209177780 4412741760 4419636669 4442776128 4489789632 4627891800 4676864200 4727937600 4910707410 4936417920 5051013336 5238087904 5261472225 5289019200 5515927200 5553470160 5612237040 5892848892 6170522400 6313766670 6346823040 6547609880 6619112640 6734684448 6941837700 7015296300 7354569600 7366061115 7404626880 7482982720 7576520004 7857131856 7933528800 8184512350 8227363200 8273890800 8418355560 8839273338 8885552256 8979579264 9255783600 9353728400 9455875200 9470650005 9821414820 10102026672 10476175808 10522944450 10578038400 11031854400 11106940320 11224474080 11785697784 12276768525 12341044800 12627533340 13095219760 13238225280 13258910007 13469368896 13883675400 14030592600 14732122230 14809253760 14965965440 15153040008 15714263712 15784416675 15867057600 16369024700 16547781600 16836711120 17678546676 18511567200 18707456800 18941300010 19642829640 20204053344 20952351616 21045888900 22063708800 22098183345 22213880640 22448948160 23571395568 24553537050 24682089600 25255066680 26190439520 26517820014 26938737792 27767350800 28061185200 29464244460 30306080016 31428527424 31568833350 31734115200 32738049400 33095563200 33673422240 35357093352 36830305575 37023134400 37414913600 37882600020 39285659280 40408106688 42091777800 44196366690 44427761280 44897896320 47142791136 47353250025 49107074100 50510133360 52380879040 53035640028 55534701600 56122370400 58928488920 60612160032 62857054848 63137666700 65476098800 66191126400 66294550035 67346844480 70714186704 73660611150 74046268800 74829827200 75765200040 78571318560 80816213376 84183555600 88392733380 94285582272 94706500050 98214148200 101020266720 104761758080 106071280056 110490916725 111069403200 112244740800 117856977840 121224320064 126275333400 130952197600 132589100070 134693688960 141428373408 147321222300 151530400080 157142637120 168367111200 176785466760 188571164544 189413000100 196428296400 202040533440 212142560112 220981833450 222138806400 224489481600 235713955680 242448640128 252550666800 261904395200 265178200140 282856746816 294642444600 303060800160 314285274240 331472750175 336734222400 353570933520 378826000200 392856592800 404081066880 424285120224 441963666900 471427911360 505101333600 523808790400 530356400280 565713493632 589284889200 606121600320 662945500350 673468444800 707141867040 757652000400 785713185600 848570240448 883927333800 942855822720 1010202667200 1060712800560 1178569778400 1212243200640 1325891000700 1414283734080 1515304000800 1571426371200 1697140480896 1767854667600 2020405334400 2121425601120 2357139556800 2651782001400 2828567468160 3030608001600 3535709335200 4242851202240 4714279113600 5303564002800 6061216003200 7071418670400 8485702404480 10607128005600 14142837340800 21214256011200 42428512022400
- Sum of all divisors σ(n): 180160134794640
- Sum of proper divisors (its aliquot sum) s(n): 137731622772240
- 42428512022400 is an abundant number, because the sum of its proper divisors (137731622772240) is greater than itself. Its abundance is 95303110749840
Bases of 42428512022400
- Binary: 10011010010110101010000110001100101111100000002
- Hexadecimal: 0x2696A8632F80
- Base-36: F1FE0L400
Squares and roots of 42428512022400
- 42428512022400 squared (424285120224002) is 1800178632434941338101760000
- 42428512022400 cubed (424285120224003) is 76378900748733499149489267354599424000000
-
The
square root of 42428512022400 is 6513717.2200211453 -
The
cube root of 42428512022400 is 34878.0824835593
Scales and comparisons
How big is 42428512022400?- 42,428,512,022,400 seconds is equal to 1,349,095 years, 23 weeks.
-
To count from 1 to 42,428,512,022,400 would take you about three million, three hundred seventy-two thousand, seven hundred thirty-eight 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 42428512022400 cubic inches would be around 2906.5 feet tall.
Recreational maths with 42428512022400
- 42428512022400 backwards is 00422021582424
- 42428512022400 is a
Harshad number . - The number of decimal digits it has is: 14
- The sum of 42428512022400's digits is 36
- More coming soon!
Link to this page
HTML: To link to this page, just copy and paste the link below into your blog, web page or email.
BBCODE: To link to this page in a forum post or comment box, just copy and paste the link code below:
Cite this page
MLA style:
"Number 42428512022400 - Facts about the integer". Numbermatics.com. 2024. Web. 29 April 2024.
APA style:
Numbermatics. (2024). Number 42428512022400 - Facts about the integer. Retrieved 29 April 2024, from https://numbermatics.com/n/42428512022400/
Chicago style:
Numbermatics. 2024. "Number 42428512022400 - Facts about the integer". https://numbermatics.com/n/42428512022400/
The information we have on file for 42428512022400 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!
Keywords: Divisors of 42428512022400, math, Factors of 42428512022400, curriculum, school, college, exams, university, Prime factorization of 42428512022400, STEM, science, technology, engineering, physics, economics, calculator, forty-two trillion, four hundred twenty-eight billion, five hundred twelve million, twenty-two thousand, four hundred.