4006428626200
4,006,428,626,200 is an even composite number composed of eight prime numbers multiplied together.
What does the number 4006428626200 look like?
This visualization shows the relationship between its 8 prime factors (large circles) and 768 divisors.
4006428626200 is an even composite number. It is composed of eight distinct prime numbers multiplied together. It has a total of seven hundred sixty-eight divisors.
Prime factorization of 4006428626200:
23 × 52 × 7 × 11 × 13 × 71 × 521 × 541
(2 × 2 × 2 × 5 × 5 × 7 × 11 × 13 × 71 × 521 × 541)See below for interesting mathematical facts about the number 4006428626200 from the Numbermatics database.
Names of 4006428626200
- Cardinal: 4006428626200 can be written as Four trillion, six billion, four hundred twenty-eight million, six hundred twenty-six thousand, two hundred.
Scientific notation
- Scientific notation: 4.0064286262 × 1012
Factors of 4006428626200
Divisors of 4006428626200
- Number of divisors d(n): 768
-
Complete list of divisors:
1 2 4 5 7 8 10 11 13 14 20 22 25 26 28 35 40 44 50 52 55 56 65 70 71 77 88 91 100 104 110 130 140 142 143 154 175 182 200 220 260 275 280 284 286 308 325 350 355 364 385 440 455 497 520 521 541 550 568 572 616 650 700 710 715 728 770 781 910 923 994 1001 1042 1082 1100 1144 1300 1400 1420 1430 1540 1562 1775 1820 1846 1925 1988 2002 2084 2164 2200 2275 2485 2600 2605 2705 2840 2860 3080 3124 3550 3575 3640 3647 3692 3787 3850 3905 3976 4004 4168 4328 4550 4615 4970 5005 5210 5410 5467 5720 5731 5951 6248 6461 6773 7033 7100 7150 7294 7384 7574 7700 7810 8008 9100 9230 9940 10010 10153 10420 10820 10934 11462 11902 12425 12922 13025 13525 13546 14066 14200 14300 14588 15148 15400 15620 18200 18235 18460 18935 19525 19880 20020 20306 20840 21640 21868 22924 23075 23804 24850 25025 25844 26050 27050 27092 27335 28132 28600 28655 29176 29755 30296 31240 32305 33865 35165 36470 36920 36991 37870 38411 39050 40040 40117 40612 41657 43736 45848 46150 47411 47608 49231 49700 50050 50765 51688 52100 54100 54184 54670 56264 57310 59510 64610 67730 70330 71071 72940 73982 74503 75740 76822 77363 78100 80234 81224 83314 91175 92300 94675 94822 98462 99400 100100 101530 104200 108200 109340 114620 119020 129220 135460 136675 140660 142142 143275 145880 147964 148775 149006 151480 153644 154726 156200 160468 161525 166628 169325 175825 182350 184600 184955 189350 189644 192055 196924 200200 200585 203060 208285 218680 229240 237055 238040 246155 253825 258440 258937 268877 270920 273350 281320 281861 284284 286550 295928 297550 298012 307288 309452 320936 323050 333256 338650 351650 355355 364700 369910 372515 378700 379288 384110 386815 393848 401170 406120 406901 416570 422521 474110 480883 492310 499343 507650 517874 521521 537754 541541 546700 563722 568568 573100 595100 596024 618904 646100 677300 703300 710710 729400 739820 745030 757400 768220 773630 802340 813802 833140 845042 924775 948220 960275 961766 984620 998686 1002925 1015300 1035748 1041425 1043042 1075508 1083082 1093400 1127444 1146200 1185275 1190200 1230775 1292200 1294685 1344385 1354600 1406600 1409305 1421420 1479640 1490060 1536440 1547260 1604680 1627604 1666280 1690084 1776775 1849550 1862575 1896440 1920550 1923532 1934075 1969240 1973027 1997372 2005850 2030600 2034505 2071496 2082850 2086084 2112605 2151016 2166164 2254888 2370550 2404415 2461550 2496715 2589370 2607605 2688770 2707705 2818610 2842840 2848307 2957647 2980120 3094520 3100471 3255208 3366181 3380168 3495401 3553550 3664193 3699100 3725150 3841100 3847064 3868150 3946054 3994744 4011700 4069010 4165700 4172168 4225210 4332328 4741100 4808830 4923100 4993430 5178740 5215210 5289713 5377540 5415410 5492773 5637220 5696614 5915294 6200942 6473425 6721925 6732362 6990802 7046525 7107100 7328386 7398200 7450300 7682200 7736300 7892108 8023400 8138020 8331400 8450420 9482200 9617660 9846200 9865135 9986860 10172525 10357480 10430420 10563025 10579426 10755080 10830820 10985546 11274440 11393228 11830588 12022075 12401884 12483575 12946850 13038025 13443850 13464724 13538525 13981604 14093050 14214200 14241535 14656772 14788235 14900600 15472600 15502355 15784216 16276040 16830905 16900840 17477005 18320965 19235320 19730270 19973720 20012131 20345050 20860840 21126050 21158852 21661640 21703297 21971092 22786456 23661176 24044150 24803768 24967150 25649351 25893700 26076050 26448565 26887700 26929448 27077050 27463865 27963208 28186100 28483070 29313544 29576470 31004710 33661810 34954010 36641930 37027991 38449411 39460540 40024262 40306123 40690100 42252100 42317704 43406594 43942184 48088300 49325675 49934300 51298702 51787400 52152100 52897130 53775400 54154100 54927730 56372200 56966140 59152940 62009420 67323620 69908020 71207675 73283860 73941175 74055982 76898822 77511775 78921080 80048524 80612246 81380200 84154525 84504200 86813188 87385025 91604825 96176600 98651350 99868600 100060655 102597404 104304200 105794260 108308200 108516485 109855460 113932280 118305880 124018840 128246755 132242825 134647240 137319325 139816040 140084917 142415350 146567720 147882350 148111964 153797644 155023550 160097048 161224492 168309050 173626376 174770050 183209650 185139955 192247055 197302700 200121310 201530615 205194808 211588520 217032970 219710920 220133441 256493510 260157703 264485650 274638650 280169834 282142861 284830700 295764700 296223928 307595288 310047100 322448984 336618100 349540100 366419300 370279910 384494110 394605400 400242620 403061230 434065940 440266882 500303275 512987020 520315406 528971300 542582425 549277300 560339668 564285722 569661400 591529400 620094200 641233775 673236200 699080200 700424585 732838600 740559820 768988220 800485240 806122460 868131880 880533764 925699775 961235275 1000606550 1007653075 1025974040 1040630812 1057942600 1085164850 1098554600 1100667205 1120679336 1128571444 1282467550 1300788515 1400849170 1410714305 1481119640 1537976440 1540934087 1612244920 1761067528 1821103921 1851399550 1922470550 2001213100 2015306150 2081261624 2170329700 2201334410 2257142888 2564935100 2601577030 2801698340 2821428610 2861734733 3081868174 3502122925 3642207842 3702799100 3844941100 4002426200 4030612300 4340659400 4402668820 5129870200 5203154060 5503336025 5603396680 5642857220 5723469466 6163736348 6503942575 7004245850 7053571525 7284415684 7405598200 7689882200 7704670435 8061224600 8805337640 9105519605 10406308120 11006672050 11285714440 11446938932 12327472696 13007885150 14008491700 14107143050 14308673665 14568831368 15409340870 18211039210 20032143131 22013344100 22893877864 26015770300 28016983400 28214286100 28617347330 30818681740 36422078420 38523352175 40064286262 44026688200 45527598025 52031540600 56428572200 57234694660 61637363480 71543368325 72844156840 77046704350 80128572524 91055196050 100160715655 114469389320 143086736650 154093408700 160257145048 182110392100 200321431310 286173473300 308186817400 364220784200 400642862620 500803578275 572346946600 801285725240 1001607156550 2003214313100 4006428626200
- Sum of all divisors σ(n): 12730765178880
- Sum of proper divisors (its aliquot sum) s(n): 8724336552680
- 4006428626200 is an abundant number, because the sum of its proper divisors (8724336552680) is greater than itself. Its abundance is 4717907926480
Bases of 4006428626200
- Binary: 1110100100110100011100000101001101000110002
- Hexadecimal: 0x3A4D1C14D18
- Base-36: 1F4J05ST4
Squares and roots of 4006428626200
- 4006428626200 squared (40064286262002) is 16051470336834819326440000
- 4006428626200 cubed (40064286262003) is 64309070250095176450354218536728000000
-
The
square root of 4006428626200 is 2001606.5113303367 -
The
cube root of 4006428626200 is 15882.5099746491
Scales and comparisons
How big is 4006428626200?- 4,006,428,626,200 seconds is equal to 127,392 years, 1 week, 6 days, 16 hours, 36 minutes, 40 seconds.
-
To count from 1 to 4,006,428,626,200 would take you about three hundred eighteen thousand, four hundred eighty 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 4006428626200 cubic inches would be around 1323.5 feet tall.
Recreational maths with 4006428626200
- 4006428626200 backwards is 0026268246004
- 4006428626200 is a
Harshad number . - The number of decimal digits it has is: 13
- The sum of 4006428626200's digits is 40
- 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 4006428626200 - Facts about the integer". Numbermatics.com. 2024. Web. 22 June 2024.
APA style:
Numbermatics. (2024). Number 4006428626200 - Facts about the integer. Retrieved 22 June 2024, from https://numbermatics.com/n/4006428626200/
Chicago style:
Numbermatics. 2024. "Number 4006428626200 - Facts about the integer". https://numbermatics.com/n/4006428626200/
The information we have on file for 4006428626200 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 4006428626200, math, Factors of 4006428626200, curriculum, school, college, exams, university, Prime factorization of 4006428626200, STEM, science, technology, engineering, physics, economics, calculator, four trillion, six billion, four hundred twenty-eight million, six hundred twenty-six thousand, two hundred.