13228146313200
13,228,146,313,200 is an even composite number composed of eight prime numbers multiplied together.
What does the number 13228146313200 look like?
This visualization shows the relationship between its 8 prime factors (large circles) and 1440 divisors.
13228146313200 is an even composite number. It is composed of eight distinct prime numbers multiplied together. It has a total of one thousand, four hundred forty divisors.
Prime factorization of 13228146313200:
24 × 32 × 52 × 7 × 13 × 31 × 67 × 19441
(2 × 2 × 2 × 2 × 3 × 3 × 5 × 5 × 7 × 13 × 31 × 67 × 19441)See below for interesting mathematical facts about the number 13228146313200 from the Numbermatics database.
Names of 13228146313200
- Cardinal: 13228146313200 can be written as Thirteen trillion, two hundred twenty-eight billion, one hundred forty-six million, three hundred thirteen thousand, two hundred.
Scientific notation
- Scientific notation: 1.32281463132 × 1013
Factors of 13228146313200
Divisors of 13228146313200
- Number of divisors d(n): 1440
-
Complete list of divisors:
1 2 3 4 5 6 7 8 9 10 12 13 14 15 16 18 20 21 24 25 26 28 30 31 35 36 39 40 42 45 48 50 52 56 60 62 63 65 67 70 72 75 78 80 84 90 91 93 100 104 105 112 117 120 124 126 130 134 140 144 150 155 156 168 175 180 182 186 195 200 201 208 210 217 225 234 240 248 252 260 268 273 279 280 300 310 312 315 325 335 336 350 360 364 372 390 400 402 403 420 434 450 455 465 468 469 496 504 520 525 536 546 558 560 585 600 603 620 624 630 650 651 670 700 720 728 744 775 780 804 806 819 840 868 871 900 910 930 936 938 975 1005 1008 1040 1050 1072 1085 1092 1116 1170 1200 1206 1209 1240 1260 1300 1302 1340 1365 1395 1400 1407 1456 1488 1550 1560 1575 1608 1612 1638 1675 1680 1736 1742 1800 1820 1860 1872 1876 1950 1953 2010 2015 2077 2100 2170 2184 2232 2275 2325 2340 2345 2412 2418 2480 2520 2600 2604 2613 2680 2730 2790 2800 2814 2821 2925 3015 3100 3120 3150 3216 3224 3255 3276 3350 3472 3484 3600 3627 3640 3720 3752 3900 3906 4020 4030 4095 4154 4200 4221 4340 4355 4368 4464 4550 4650 4680 4690 4824 4836 5025 5040 5200 5208 5226 5360 5425 5460 5580 5628 5642 5850 6030 6045 6097 6200 6231 6300 6448 6510 6552 6700 6825 6968 6975 7035 7254 7280 7440 7504 7800 7812 7839 8040 8060 8190 8308 8400 8442 8463 8680 8710 9100 9300 9360 9380 9648 9672 9765 10050 10075 10385 10416 10452 10850 10920 11160 11256 11284 11700 11725 12060 12090 12194 12400 12462 12600 13020 13065 13104 13400 13650 13936 13950 14070 14105 14508 14539 15075 15600 15624 15678 16080 16120 16275 16380 16616 16884 16926 17360 17420 18135 18200 18291 18600 18693 18760 19344 19441 19530 20100 20150 20475 20770 20904 21105 21700 21775 21840 22320 22512 22568 23400 23450 24120 24180 24388 24924 25200 25389 26040 26130 26800 27001 27300 27900 28140 28210 29016 29078 30150 30225 30485 31155 31248 31356 32240 32550 32760 33232 33768 33852 34840 35175 36270 36400 36582 37200 37386 37520 38882 39060 39195 40200 40300 40950 41540 41808 42210 42315 43400 43550 43617 45136 46800 46900 48240 48360 48776 48825 49848 50778 51925 52080 52260 54002 54600 54873 55800 56280 56420 58032 58156 58323 60300 60450 60970 62310 62712 65100 65325 65520 67536 67704 69680 70350 70525 72540 72695 73164 74772 77764 78120 78390 80400 80600 81003 81900 83080 84420 84630 86800 87100 87234 90675 91455 93465 93800 96720 97205 97552 97650 99696 101556 103850 104520 105525 108004 109200 109746 111600 112560 112840 116312 116646 120600 120900 121940 124620 125424 126945 130200 130650 130851 135005 135408 136087 140700 141050 145080 145390 146328 149544 152425 155528 155775 156240 156780 161200 162006 163800 166160 168840 169260 174200 174468 174969 181350 182910 186930 187600 189007 194410 195300 195975 203112 207700 209040 211050 211575 216008 218085 219492 225680 232624 233292 241200 241800 243009 243880 249240 252733 253890 260400 261300 261702 270010 272174 274365 281400 282100 290160 290780 291615 292656 299088 304850 311056 311550 313560 324012 327600 337680 338520 348400 348936 349938 362700 363475 365820 373860 378014 388820 390600 391950 405015 406224 408261 415400 422100 423150 432016 436170 438984 457275 466584 467325 483600 486018 486025 487760 498480 505466 507780 522600 523404 540020 544348 548730 562800 564200 567021 581560 583230 602671 609700 623100 627120 634725 648024 654255 675025 677040 680435 697872 699876 725400 726950 731640 747720 756028 758199 777640 781200 783900 810030 816522 830800 844200 846300 872340 874845 877968 914550 933168 934650 945035 972036 972050 1010932 1015560 1045200 1046808 1080040 1088696 1090425 1097460 1128400 1134042 1163120 1166460 1205342 1215045 1219400 1224783 1246200 1263665 1269450 1296048 1302547 1308510 1350050 1360870 1371825 1399752 1450800 1453900 1458075 1463280 1495440 1512056 1516398 1555280 1567800 1620060 1633044 1688400 1692600 1701063 1744680 1749690 1769131 1808013 1829100 1869300 1890070 1944072 1944100 2021864 2025075 2031120 2041305 2093616 2160080 2177392 2180850 2194920 2268084 2274597 2332920 2410684 2430090 2438800 2449566 2492400 2527330 2538900 2605094 2617020 2700100 2721740 2743650 2799504 2835105 2907800 2916150 3013355 3024112 3032796 3135600 3240120 3266088 3271275 3385200 3402126 3402175 3489360 3499380 3538262 3616026 3658200 3738600 3780140 3790995 3888144 3888200 3907641 4043728 4050150 4082610 4218697 4361700 4374225 4389840 4536168 4549194 4665840 4725175 4821368 4860180 4899132 5054660 5077800 5210188 5234040 5307393 5400200 5424039 5443480 5487300 5670210 5815600 5832300 6026710 6065592 6075225 6123915 6318325 6480240 6512735 6532176 6542550 6804252 6804350 6998760 7076524 7232052 7316400 7477200 7560280 7581990 7776400 7815282 7834723 8100300 8165220 8437394 8505315 8723400 8748450 8845655 9040065 9072336 9098388 9117829 9450350 9642736 9720360 9798264 10109320 10155600 10206525 10420376 10468080 10614786 10800400 10848078 10886960 10974600 11340420 11372985 11664600 11722923 12053420 12131184 12150450 12247830 12636650 12656091 13025470 13085100 13608504 13608700 13997520 14153048 14175525 14464104 15066775 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271201950 273534870 274215305 282050028 282652699 293073075 303279600 303746184 304795998 312611280 313388920 316402275 318443580 323031656 328241844 329058366 337495760 338662220 340212600 352562535 353826200 355595331 361602600 363410613 364713160 376066704 379682730 390764100 391736150 398054475 403789570 406394664 410302305 421869700 423327775 424591440 433923120 437655792 438744488 454919400 455891450 468916920 470083380 474127108 484547484 489913200 493587549 506243640 507993330 521018800 524926441 530739300 542403900 547069740 548430610 564100056 565305398 586146150 587604225 592658885 605684355 607492368 609591996 626777840 632804550 636887160 646063312 656483688 658116732 677324440 680425200 683837175 705125070 707652400 711190662 723205200 726821226 729426320 759365460 761989995 781528200 783472300 796108950 807579140 812789328 820604610 822645915 843739400 846655550 847958097 877488976 909838800 911782900 937833840 940166760 948254216 949206825 969094968 987175098 1009473925 1012487280 1015986660 1049852882 1061478600 1066785993 1084807800 1094139480 1096861220 1128200112 1130610796 1172292300 1175208450 1185317770 1211368710 1219183992 1265609100 1269983325 1273774320 1312967376 1316233464 1354648880 1367674350 1371076525 1410250140 1413263495 1422381324 1453642452 1518730920 1523979990 1563056400 1566944600 1574779323 1592217900 1615158280 1641209220 1645291830 1687478800 1693311100 1695916194 1762812675 1777976655 1817053065 1823565800 1880333520 1896508432 1898413650 1938189936 1974350196 2018947850 2031973320 2051511525 2099705764 2122957200 2133571986 2169615600 2188278960 2193722440 2261221592 2344584600 2350416900 2370635540 2422737420 2438367984 2467937745 2531218200 2539966650 2543874291 2624632205 2632466928 2735348700 2742153050 2820500280 2826526990 2844762648 2907284904 2963294425 3028421775 3037461840 3047959980 3133889200 3149558646 3184435800 3230316560 3282418440 3290583660 3386622200 3391832388 3525625350 3555953310 3634106130 3647131600 3674485087 3796827300 3809949975 3948700392 4037895700 4063946640 4103023050 4113229575 4199411528 4239790485 4267143972 4387444880 4522443184 4689169200 4700833800 4724337969 4741271080 4845474840 4935875490 5062436400 5079933300 5087748582 5249264410 5333929965 5470697400 5484306100 5641000560 5653053980 5689525296 5814569808 5926588850 6056843550 6095919960 6299117292 6368871600 6564836880 6581167320 6773244400 6783664776 7051250700 7066317475 7111906620 7268212260 7348970174 7593654600 7619899950 7873896615 7897400784 8075791400 8206046100 8226459150 8398823056 8479580970 8534287944 8889883275 9085265325 9401667600 9448675938 9482542160 9690949680 9871750980 10159866600 10175497164 10498528820 10667859930 10941394800 10968612200 11023455261 11306107960 11853177700 12113687100 12191839920 12339688725 12598234584 12719371455 13123161025 13162334640 13567329552 14102501400 14132634950 14223813240 14536424520 14697940348 15187309200 15239799900 15747793230 16151582800 16412092200 16452918300 16959161940 17068575888 17779766550 18170530650 18372425435 18897351876 19743501960 20319733200 20350994328 20997057640 21198952425 21335719860 21937224400 22046910522 22612215920 23621689845 23706355400 24227374200 24679377450 25196469168 25438742910 26246322050 26669649825 28205002800 28265269900 28447626480 29072849040 29395880696 30479599800 31495586460 32824184400 32905836600 33070365783 33918323880 35559533100 36341061300 36744850870 37794703752 39369483075 39487003920 40701988656 41994115280 42397904850 42671439720 44093821044 47243379690 47412710800 48454748400 49358754900 50877485820 52492644100 53339299650 55117276305 56530539800 58791761392 60959199600 62991172920 63596857275 65811673200 66140731566 67836647760 71119066200 72682122600 73489701740 75589407504 78738966150 84795809700 85342879440 88187642088 91862127175 94486759380 98717509800 101754971640 104985288200 106678599300 110234552610 113061079600 118108449225 125982345840 127193714550 132281463132 142238132400 145364245200 146979403480 157477932300 165351828915 169591619400 176375284176 183724254350 188973518760 197435019600 203509943280 209970576400 213357198600 220469105220 236216898450 254387429100 264562926264 275586381525 293958806960 314955864600 330703657830 339183238800 367448508700 377947037520 426714397200 440938210440 472433796900 508774858200 529125852528 551172763050 629911729200 661407315660 734897017400 826759144575 881876420880 944867593800 1017549716400 1102345526100 1322814631320 1469794034800 1653518289150 1889735187600 2204691052200 2645629262640 3307036578300 4409382104400 6614073156600 13228146313200
- Sum of all divisors σ(n): 59194941059072
- Sum of proper divisors (its aliquot sum) s(n): 45966794745872
- 13228146313200 is an abundant number, because the sum of its proper divisors (45966794745872) is greater than itself. Its abundance is 32738648432672
Bases of 13228146313200
- Binary: 110000000111111010101111011001000111111100002
- Hexadecimal: 0xC07EAF647F0
- Base-36: 4OSXCRVG0
Squares and roots of 13228146313200
- 13228146313200 squared (132281463132002) is 174983854883426752494240000
- 13228146313200 cubed (132281463132003) is 2314712034845725411788929760235968000000
-
The
square root of 13228146313200 is 3637051.8711175951 -
The
cube root of 13228146313200 is 23650.1008288175
Scales and comparisons
How big is 13228146313200?- 13,228,146,313,200 seconds is equal to 420,614 years, 7 weeks, 7 hours.
-
To count from 1 to 13,228,146,313,200 would take you about one million, fifty-one thousand, five 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 13228146313200 cubic inches would be around 1970.8 feet tall.
Recreational maths with 13228146313200
- 13228146313200 backwards is 00231364182231
- 13228146313200 is a
Harshad number . - The number of decimal digits it has is: 14
- The sum of 13228146313200's digits is 36
- More coming soon!
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"Number 13228146313200 - Facts about the integer". Numbermatics.com. 2024. Web. 21 June 2024.
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Numbermatics. (2024). Number 13228146313200 - Facts about the integer. Retrieved 21 June 2024, from https://numbermatics.com/n/13228146313200/
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The information we have on file for 13228146313200 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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