3428070400800
3,428,070,400,800 is an even composite number composed of six prime numbers multiplied together.
What does the number 3428070400800 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 864 divisors.
3428070400800 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of eight hundred sixty-four divisors.
Prime factorization of 3428070400800:
25 × 35 × 52 × 53 × 313 × 1063
(2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 5 × 5 × 53 × 313 × 1063)See below for interesting mathematical facts about the number 3428070400800 from the Numbermatics database.
Names of 3428070400800
- Cardinal: 3428070400800 can be written as Three trillion, four hundred twenty-eight billion, seventy million, four hundred thousand, eight hundred.
Scientific notation
- Scientific notation: 3.4280704008 × 1012
Factors of 3428070400800
Divisors of 3428070400800
- Number of divisors d(n): 864
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 25 27 30 32 36 40 45 48 50 53 54 60 72 75 80 81 90 96 100 106 108 120 135 144 150 159 160 162 180 200 212 216 225 240 243 265 270 288 300 313 318 324 360 400 405 424 432 450 477 480 486 530 540 600 626 636 648 675 720 795 800 810 848 864 900 939 954 972 1060 1063 1080 1200 1215 1252 1272 1296 1325 1350 1431 1440 1565 1590 1620 1696 1800 1878 1908 1944 2025 2120 2126 2160 2385 2400 2430 2504 2544 2592 2650 2700 2817 2862 3130 3180 3189 3240 3600 3756 3816 3888 3975 4050 4240 4252 4293 4320 4695 4770 4860 5008 5088 5300 5315 5400 5634 5724 6075 6260 6360 6378 6480 7155 7200 7512 7632 7776 7825 7950 8100 8451 8480 8504 8586 9390 9540 9567 9720 10016 10600 10630 10800 11268 11448 11925 12150 12520 12720 12756 12879 12960 14085 14310 15024 15264 15650 15900 15945 16200 16589 16902 17008 17172 18780 19080 19134 19440 21200 21260 21465 21600 22536 22896 23475 23850 24300 25040 25353 25440 25512 25758 26575 28170 28620 28701 30048 31300 31800 31890 32400 33178 33804 34016 34344 35775 37560 38160 38268 38880 42255 42400 42520 42930 45072 45792 46950 47700 47835 48600 49767 50080 50706 51024 51516 53150 56339 56340 57240 57402 62600 63600 63780 64395 64800 66356 67608 68688 70425 71550 75120 76059 76320 76536 79725 82945 84510 85040 85860 86103 90144 93900 95400 95670 97200 99534 101412 102048 103032 106300 107325 112678 112680 114480 114804 125200 126765 127200 127560 128790 132712 135216 137376 140850 143100 143505 149301 150240 152118 153072 159450 165890 169017 169020 170080 171720 172206 187800 190800 191340 194400 199068 202824 206064 211275 212600 214650 225356 225360 228960 229608 239175 248835 250400 253530 255120 257580 258309 265424 270432 281695 281700 286200 287010 298602 304236 306144 318900 321975 331780 332719 338034 338040 343440 344412 375600 380295 381600 382680 398136 405648 412128 414725 422550 425200 429300 430515 447903 450712 450720 459216 478350 497670 507051 507060 510240 515160 516618 530848 563390 563400 572400 574020 597204 608472 633825 637800 643950 663560 665438 676068 676080 686880 688824 717525 746505 751200 760590 765360 796272 811296 829450 845085 845100 850400 858600 861030 895806 901424 918432 956700 995340 998157 1014102 1014120 1030320 1033236 1126780 1126800 1144800 1148040 1194408 1216944 1244175 1267650 1275600 1287900 1291545 1327120 1330876 1343709 1352136 1352160 1377648 1408475 1435050 1493010 1521153 1521180 1530720 1592544 1658900 1663595 1690170 1690200 1717200 1722060 1791612 1802848 1901475 1913400 1990680 1996314 2028204 2028240 2060640 2066472 2152575 2239515 2253560 2253600 2296080 2388816 2433888 2488350 2535255 2535300 2551200 2575800 2583090 2654240 2661752 2687418 2704272 2755296 2816950 2870100 2986020 2994471 3042306 3042360 3317800 3327190 3380340 3380400 3434400 3444120 3583224 3732525 3802950 3826800 3981360 3992628 4031127 4056408 4056480 4132944 4225425 4305150 4479030 4507120 4563459 4592160 4777632 4976700 4990785 5070510 5070600 5151600 5166180 5323504 5374836 5408544 5633900 5740200 5972040 5988942 6084612 6084720 6457725 6635600 6654380 6718545 6760680 6760800 6888240 7166448 7465050 7605765 7605900 7653600 7962720 7985256 8062254 8112816 8265888 8317975 8450850 8610300 8958060 8983413 9014240 9126918 9953400 9981570 10141020 10141200 10303200 10332360 10647008 10749672 11197575 11267800 11480400 11944080 11977884 12169224 12169440 12676275 12915450 13271200 13308760 13437090 13521360 13690377 13776480 14332896 14930100 14972355 15211530 15211800 15970512 16124508 16225632 16635950 16901700 17220600 17634107 17916120 17966826 18253836 19906800 19963140 20155635 20282040 20282400 20664720 21499344 22395150 22535600 22817295 22960800 23888160 23955768 24338448 24953925 25352550 25830900 26617520 26874180 26950239 27042720 27380754 29860200 29944710 30423060 30423600 31941024 32249016 33271900 33592725 33803400 34441200 35268214 35832240 35933652 36507672 38028825 39813600 39926280 40311270 40564080 41329440 42998688 44790300 44917065 45071200 45634590 47911536 48676896 49907850 50705100 51661800 52902321 53235040 53748360 53900478 54761508 59720400 59889420 60846120 60847200 64498032 66543800 67185450 67606800 68451885 68882400 70536428 71664480 71867304 73015344 74861775 76057650 79852560 80622540 80850717 81128160 88170535 89580600 89834130 91269180 95823072 99815700 100778175 101410200 103323600 105804642 107496720 107800956 109523016 114086475 119440800 119778840 121692240 128996064 133087600 134370900 134751195 135213600 136903770 141072856 143734608 146030688 149723550 152115300 158706963 159705120 161245080 161701434 176341070 179161200 179668260 182538360 199631400 201556350 202820400 206647200 211609284 214993440 215601912 219046032 224585325 228172950 239557680 243384480 264511605 266175200 268741800 269502390 273807540 282145712 287469216 299447100 304230600 317413926 322490160 323402868 342259425 352682140 358322400 359336520 365076720 399262800 403112700 404253585 405640800 423218568 431203824 438092064 440852675 449170650 456345900 476120889 479115360 529023210 537483600 539004780 547615080 564291424 598894200 608461200 634827852 644980320 646805736 673755975 684518850 705364280 718673040 730153440 793534815 798525600 806225400 808507170 846437136 862407648 881705350 898341300 912691800 952241778 1058046420 1074967200 1078009560 1095230160 1197788400 1216922400 1269655704 1293611472 1322558025 1347511950 1369037700 1410728560 1428362667 1437346080 1587069630 1612450800 1617014340 1692874272 1763410700 1796682600 1825383600 1904483556 2021267925 2116092840 2156019120 2190460320 2380604445 2395576800 2539311408 2587222944 2645116050 2695023900 2738075400 2821457120 2856725334 3174139260 3224901600 3234028680 3526821400 3593365200 3650767200 3808967112 3967674075 4042535850 4232185680 4285088001 4312038240 4761208890 5078622816 5290232100 5390047800 5476150800 5713450668 6348278520 6468057360 7053642800 7141813335 7186730400 7617934224 7935348150 8085071700 8464371360 8570176002 9522417780 10580464200 10780095600 10952301600 11426901336 11903022225 12696557040 12936114720 14107285600 14283626670 15235868448 15870696300 16170143400 17140352004 19044835560 21160928400 21425440005 21560191200 22853802672 23806044450 25393114080 28567253340 31741392600 32340286800 34280704008 35709066675 38089671120 42321856800 42850880010 45707605344 47612088900 57134506680 63482785200 64680573600 68561408016 71418133350 76179342240 85701760020 95224177800 107127200025 114269013360 126965570400 137122816032 142836266700 171403520040 190448355600 214254400050 228538026720 285672533400 342807040080 380896711200 428508800100 571345066800 685614080160 857017600200 1142690133600 1714035200400 3428070400800
- Sum of all divisors σ(n): 12825333376128
- Sum of proper divisors (its aliquot sum) s(n): 9397262975328
- 3428070400800 is an abundant number, because the sum of its proper divisors (9397262975328) is greater than itself. Its abundance is 5969192574528
Bases of 3428070400800
- Binary: 1100011110001010001110101100100011001000002
- Hexadecimal: 0x31E28EB2320
- Base-36: 17QU0LU00
Squares and roots of 3428070400800
- 3428070400800 squared (34280704008002) is 11751666672841072640640000
- 3428070400800 cubed (34280704008003) is 40285540681234298361900679168512000000
-
The
square root of 3428070400800 is 1851504.9016408245 -
The
cube root of 3428070400800 is 15078.2142756225
Scales and comparisons
How big is 3428070400800?- 3,428,070,400,800 seconds is equal to 109,002 years, 1 week, 5 days, 18 hours.
-
To count from 1 to 3,428,070,400,800 would take you about two hundred seventy-two thousand, five hundred 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 3428070400800 cubic inches would be around 1256.5 feet tall.
Recreational maths with 3428070400800
- 3428070400800 backwards is 0080040708243
- 3428070400800 is a
Harshad number . - The number of decimal digits it has is: 13
- The sum of 3428070400800'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 3428070400800 - Facts about the integer". Numbermatics.com. 2024. Web. 15 June 2024.
APA style:
Numbermatics. (2024). Number 3428070400800 - Facts about the integer. Retrieved 15 June 2024, from https://numbermatics.com/n/3428070400800/
Chicago style:
Numbermatics. 2024. "Number 3428070400800 - Facts about the integer". https://numbermatics.com/n/3428070400800/
The information we have on file for 3428070400800 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 3428070400800, math, Factors of 3428070400800, curriculum, school, college, exams, university, Prime factorization of 3428070400800, STEM, science, technology, engineering, physics, economics, calculator, three trillion, four hundred twenty-eight billion, seventy million, four hundred thousand, eight hundred.