38428026528000
38,428,026,528,000 is an even composite number composed of seven prime numbers multiplied together.
What does the number 38428026528000 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 1152 divisors.
38428026528000 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of one thousand, one hundred fifty-two divisors.
Prime factorization of 38428026528000:
28 × 3 × 53 × 19 × 61 × 137 × 2521
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 5 × 5 × 19 × 61 × 137 × 2521)See below for interesting mathematical facts about the number 38428026528000 from the Numbermatics database.
Names of 38428026528000
- Cardinal: 38428026528000 can be written as Thirty-eight trillion, four hundred twenty-eight billion, twenty-six million, five hundred twenty-eight thousand.
Scientific notation
- Scientific notation: 3.8428026528 × 1013
Factors of 38428026528000
Divisors of 38428026528000
- Number of divisors d(n): 1152
-
Complete list of divisors:
1 2 3 4 5 6 8 10 12 15 16 19 20 24 25 30 32 38 40 48 50 57 60 61 64 75 76 80 95 96 100 114 120 122 125 128 137 150 152 160 183 190 192 200 228 240 244 250 256 274 285 300 304 305 320 366 375 380 384 400 411 456 475 480 488 500 548 570 600 608 610 640 685 732 750 760 768 800 822 912 915 950 960 976 1000 1096 1140 1159 1200 1216 1220 1280 1370 1425 1464 1500 1520 1525 1600 1644 1824 1830 1900 1920 1952 2000 2055 2192 2280 2318 2375 2400 2432 2440 2521 2603 2740 2850 2928 3000 3040 3050 3200 3288 3425 3477 3648 3660 3800 3840 3904 4000 4110 4384 4560 4575 4636 4750 4800 4864 4880 5042 5206 5480 5700 5795 5856 6000 6080 6100 6400 6576 6850 6954 7125 7296 7320 7563 7600 7625 7808 7809 8000 8220 8357 8768 9120 9150 9272 9500 9600 9760 10084 10275 10412 10960 11400 11590 11712 12000 12160 12200 12605 13015 13152 13700 13908 14250 14592 14640 15126 15200 15250 15616 15618 16000 16440 16714 17125 17385 17536 18240 18300 18544 19000 19200 19520 20168 20550 20824 21920 22800 22875 23180 23424 24000 24320 24400 25071 25210 26030 26304 27400 27816 28500 28975 29280 30252 30400 30500 31236 32000 32880 33428 34250 34770 35072 36480 36600 37088 37815 38000 39040 39045 40336 41100 41648 41785 43840 45600 45750 46360 46848 47899 48000 48800 50142 50420 51375 52060 52608 54800 55632 57000 57950 58560 60504 60800 61000 62472 63025 65075 65760 66856 68500 69540 72960 73200 74176 75630 76000 78080 78090 80672 82200 83296 83570 86925 87680 91200 91500 92720 95798 96000 97600 100284 100840 102750 104120 105216 109600 111264 114000 115900 117120 121008 121600 122000 124944 125355 126050 130150 131520 133712 137000 139080 143697 144875 146400 148352 151260 152000 153781 156180 158783 161344 164400 166592 167140 173850 175360 182400 183000 185440 189075 191596 195200 195225 200568 201680 205500 208240 208925 219200 222528 228000 231800 234240 239495 242016 244000 249888 250710 252100 260300 263040 267424 274000 278160 287394 289750 292800 296704 302520 304000 307562 312360 315125 317566 322688 325375 328800 333184 334280 345377 347700 364800 366000 370880 378150 383192 390400 390450 401136 403360 411000 416480 417850 434625 438400 445056 456000 461343 463600 476349 478990 484032 488000 499776 501420 504200 520600 526080 534848 548000 556320 574788 579500 585600 605040 608000 615124 624720 626775 630250 635132 645376 650750 657600 666368 668560 690754 695400 718485 732000 741760 756300 766384 768905 780900 793915 802272 806720 822000 832960 835700 869250 876800 890112 912000 922686 927200 945375 952698 957980 968064 976000 976125 999552 1002840 1008400 1036131 1041200 1044625 1069696 1096000 1112640 1149576 1159000 1171200 1197475 1210080 1230248 1249440 1253550 1260500 1270264 1301500 1315200 1337120 1381508 1390800 1436970 1464000 1483520 1512600 1532768 1537810 1561800 1587830 1604544 1613440 1644000 1665920 1671400 1726885 1738500 1824000 1845372 1854400 1890750 1905396 1915960 1936128 1952000 1952250 1999104 2005680 2016800 2072262 2082400 2089250 2139392 2192000 2225280 2299152 2306715 2318000 2381745 2394950 2420160 2460496 2498880 2507100 2521000 2540528 2603000 2630400 2674240 2763016 2781600 2873940 2921839 2928000 3025200 3065536 3075620 3123600 3133875 3175660 3209088 3226880 3288000 3331840 3342800 3453770 3477000 3592425 3690744 3708800 3781500 3810792 3831920 3844525 3904500 3969575 4011360 4033600 4144524 4164800 4178500 4384000 4450560 4598304 4613430 4636000 4763490 4789900 4840320 4920992 4997760 5014200 5042000 5081056 5180655 5206000 5348480 5526032 5563200 5747880 5843678 5856000 5987375 6050400 6131072 6151240 6247200 6267750 6351320 6418176 6562163 6576000 6685600 6907540 6954000 7184850 7381488 7417600 7563000 7621584 7663840 7689050 7809000 7939150 8022720 8067200 8289048 8329600 8357000 8634425 8765517 9196608 9226860 9272000 9526980 9579800 9680640 9841984 9995520 10028400 10084000 10162112 10361310 10412000 10696960 11052064 11126400 11495760 11533575 11687356 11908725 11974750 12100800 12262144 12302480 12494400 12535500 12702640 13124326 13152000 13371200 13815080 13908000 14369700 14609195 14762976 15126000 15243168 15327680 15378100 15618000 15878300 16045440 16134400 16578096 16659200 16714000 17268850 17531034 17962125 18393216 18453720 18544000 19053960 19159600 19222625 19683968 19686489 19847875 20056800 20168000 20324224 20722620 20824000 21067997 22104128 22252800 22991520 23067150 23374712 23817450 23949500 24201600 24604960 24988800 25071000 25405280 25903275 26248652 26742400 27630160 27816000 28739400 29218390 29525952 30252000 30486336 30655360 30756200 31236000 31756600 32090880 32810815 33156192 33428000 34537700 35062068 35924250 36786432 36907440 37088000 38107920 38319200 38445250 39367936 39372978 39695750 40113600 40336000 40648448 41445240 41648000 42135994 43172125 43827585 44208256 45983040 46134300 46749424 47634900 47899000 48403200 49209920 49977600 50142000 50810560 51806550 52497304 53484800 55260320 55632000 57478800 57667875 58436780 59051904 59543625 60504000 60972672 61310720 61512400 62472000 63203991 63513200 65621630 66312384 66856000 69075400 70124136 71848500 73045975 73814880 76215840 76638400 76890500 78745956 79391500 80227200 80672000 82890480 83296000 84271988 86344250 87655170 88416512 91966080 92268600 93498848 95269800 95798000 98419840 98432445 100284000 101621120 103613100 104994608 105339985 110520640 111264000 114957600 115335750 116873560 118103808 119087250 121008000 121945344 123024800 124944000 126407982 127026400 129516375 131243260 132624768 133712000 138150800 140248272 143697000 146091950 147629760 152431680 153276800 153781000 157491912 158783000 160454400 164054075 165780960 168543976 172688500 175310340 183932160 184537200 186997696 190539600 191596000 196839680 196864890 200568000 203242240 207226200 209989216 210679970 219137925 221041280 229915200 230671500 233747120 238174500 242016000 246049600 249888000 252815964 254052800 259032750 262486520 265249536 267424000 276301600 280496544 287394000 292183900 295259520 304863360 306553600 307562000 314983824 316019955 317566000 328108150 331561920 337087952 345377000 350620680 365229875 369074400 373995392 381079200 383192000 393729780 400291943 401136000 414452400 419978432 421359940 438275850 442082560 459830400 461343000 467494240 476349000 492099200 492162225 505631928 508105600 518065500 524973040 526699925 552603200 560993088 574788000 584367800 590519040 609726720 615124000 629967648 632039910 635132000 656216300 663123840 674175904 690754000 701241360 730459750 738148800 747990784 762158400 766384000 787459560 800583886 802272000 820270375 828904800 839956864 842719880 876551700 919660800 922686000 934988480 952698000 984198400 984324450 1011263856 1016211200 1036131000 1049946080 1053399850 1095689625 1105206400 1121986176 1149576000 1168735600 1200875829 1230248000 1259935296 1264079820 1270264000 1312432600 1326247680 1348351808 1381508000 1402482720 1460919500 1476297600 1524316800 1532768000 1574919120 1580099775 1601167772 1640540750 1657809600 1679913728 1685439760 1753103400 1845372000 1869976960 1905396000 1968648900 2001459715 2022527712 2072262000 2099892160 2106799700 2191379250 2210412800 2243972352 2299152000 2337471200 2401751658 2460496000 2460811125 2519870592 2528159640 2540528000 2624865200 2633499625 2696703616 2763016000 2804965440 2921839000 2952595200 3048633600 3149838240 3160199550 3202335544 3281081500 3315619200 3370879520 3506206800 3690744000 3739953920 3810792000 3937297800 4002919430 4045055424 4144524000 4199784320 4213599400 4382758500 4598304000 4674942400 4803503316 4920992000 4921622250 5039741184 5056319280 5081056000 5249730400 5266999250 5393407232 5526032000 5609930880 5843678000 6004379145 6299676480 6320399100 6404671088 6562163000 6631238400 6741759040 7012413600 7381488000 7621584000 7874595600 7900498875 8005838860 8090110848 8289048000 8399568640 8427198800 8765517000 9349884800 9607006632 9843244500 10007298575 10112638560 10499460800 10533998500 11052064000 11219861760 11687356000 12008758290 12599352960 12640798200 12809342176 13124326000 13483518080 14024827200 14762976000 15243168000 15749191200 15800997750 16011677720 16180221696 16578096000 16854397600 17531034000 18699769600 19214013264 19686489000 20014597150 20225277120 20998921600 21067997000 23374712000 24017516580 25198705920 25281596400 25618684352 26248652000 26967036160 28049654400 30021895725 31498382400 31601995500 32023355440 33156192000 33708795200 35062068000 38428026528 39372978000 40029194300 40450554240 41997843200 42135994000 46749424000 48035033160 50036492875 50563192800 51237368704 52497304000 56099308800 60043791450 62996764800 63203991000 64046710880 67417590400 70124136000 76856053056 78745956000 80058388600 80901108480 84271988000 93498848000 96070066320 100072985750 101126385600 102474737408 104994608000 120087582900 125993529600 126407982000 128093421760 134835180800 140248272000 150109478625 153712106112 157491912000 160116777200 168543976000 192140132640 200145971500 202252771200 209989216000 240175165800 252815964000 256186843520 280496544000 300218957250 307424212224 314983824000 320233554400 337087952000 384280265280 400291943000 404505542400 480350331600 505631928000 512373687040 600437914500 629967648000 640467108800 674175904000 768560530560 800583886000 960700663200 1011263856000 1200875829000 1280934217600 1537121061120 1601167772000 1921401326400 2022527712000 2401751658000 2561868435200 3202335544000 3842802652800 4803503316000 6404671088000 7685605305600 9607006632000 12809342176000 19214013264000 38428026528000
- Sum of all divisors σ(n): 137610427368960
- Sum of proper divisors (its aliquot sum) s(n): 99182400840960
- 38428026528000 is an abundant number, because the sum of its proper divisors (99182400840960) is greater than itself. Its abundance is 60754374312960
Bases of 38428026528000
- Binary: 10001011110011001110001101111011100001000000002
- Hexadecimal: 0x22F338DEE100
- Base-36: DMDLAT91C
Squares and roots of 38428026528000
- 38428026528000 squared (384280265280002) is 1476713222836671734784000000
- 38428026528000 cubed (384280265280003) is 56747174901415996835507332349952000000000
-
The
square root of 38428026528000 is 6199034.3222150337 -
The
cube root of 38428026528000 is 33745.5124247891
Scales and comparisons
How big is 38428026528000?- 38,428,026,528,000 seconds is equal to 1,221,892 years, 19 weeks, 4 days, 13 hours, 20 minutes.
-
To count from 1 to 38,428,026,528,000 would take you about three million, fifty-four thousand, seven hundred thirty 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 38428026528000 cubic inches would be around 2812.1 feet tall.
Recreational maths with 38428026528000
- 38428026528000 backwards is 00082562082483
- 38428026528000 is a
Harshad number . - The number of decimal digits it has is: 14
- The sum of 38428026528000's digits is 48
- More coming soon!
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The information we have on file for 38428026528000 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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