13131063398400
13,131,063,398,400 is an even composite number composed of seven prime numbers multiplied together.
What does the number 13131063398400 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 1248 divisors.
13131063398400 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of one thousand, two hundred forty-eight divisors.
Prime factorization of 13131063398400:
212 × 3 × 52 × 29 × 61 × 73 × 331
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 5 × 29 × 61 × 73 × 331)See below for interesting mathematical facts about the number 13131063398400 from the Numbermatics database.
Names of 13131063398400
- Cardinal: 13131063398400 can be written as Thirteen trillion, one hundred thirty-one billion, sixty-three million, three hundred ninety-eight thousand, four hundred.
Scientific notation
- Scientific notation: 1.31310633984 × 1013
Factors of 13131063398400
Divisors of 13131063398400
- Number of divisors d(n): 1248
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Complete list of divisors:
1 2 3 4 5 6 8 10 12 15 16 20 24 25 29 30 32 40 48 50 58 60 61 64 73 75 80 87 96 100 116 120 122 128 145 146 150 160 174 183 192 200 219 232 240 244 256 290 292 300 305 320 331 348 365 366 384 400 435 438 464 480 488 512 580 584 600 610 640 662 696 725 730 732 768 800 870 876 915 928 960 976 993 1024 1095 1160 1168 1200 1220 1280 1324 1392 1450 1460 1464 1525 1536 1600 1655 1740 1752 1769 1825 1830 1856 1920 1952 1986 2048 2117 2175 2190 2320 2336 2400 2440 2560 2648 2784 2900 2920 2928 3050 3072 3200 3310 3480 3504 3538 3650 3660 3712 3840 3904 3972 4096 4234 4350 4380 4453 4575 4640 4672 4800 4880 4965 5120 5296 5307 5475 5568 5800 5840 5856 6100 6144 6351 6400 6620 6960 7008 7076 7300 7320 7424 7680 7808 7944 8275 8468 8700 8760 8845 8906 9150 9280 9344 9599 9600 9760 9930 10240 10585 10592 10614 10950 11136 11600 11680 11712 12200 12288 12702 12800 13240 13359 13920 14016 14152 14600 14640 14848 15360 15616 15888 16550 16936 17400 17520 17690 17812 18300 18560 18688 19198 19200 19520 19860 20191 20480 21170 21184 21228 21900 22265 22272 23200 23360 23424 24163 24400 24825 25404 25600 26480 26535 26718 27840 28032 28304 28797 29200 29280 29696 30720 31232 31755 31776 33100 33872 34800 35040 35380 35624 36600 37120 37376 38396 38400 39040 39720 40382 42340 42368 42456 43800 44225 44530 44544 46400 46720 46848 47995 48326 48800 49650 50808 51200 52925 52960 53070 53436 55680 56064 56608 57594 58400 58560 59392 60573 61440 62464 63510 63552 66200 66795 67744 69600 70080 70760 71248 72489 73200 74240 74752 76792 76800 78080 79440 80764 84680 84736 84912 87600 88450 89060 89088 92800 93440 93696 95990 96652 97600 99300 100955 101616 102400 105850 105920 106140 106872 111325 111360 112128 113216 115188 116800 117120 118784 120815 121146 124928 127020 127104 129137 132400 132675 133590 135488 139200 140160 141520 142496 143985 144978 146400 148480 149504 153584 153600 156160 158775 158880 161528 169360 169472 169824 175200 176900 178120 178176 185600 186880 187392 191980 193304 195200 198600 201910 203232 211700 211840 212280 213744 222650 222720 224256 226432 230376 233600 234240 239975 241630 242292 249856 254040 254208 258274 264800 265350 267180 270976 278400 280320 283040 284992 287970 289956 292800 296960 299008 302865 307168 307200 312320 317550 317760 323056 333975 338720 338944 339648 350400 353800 356240 356352 362445 371200 373760 374784 383960 386608 387411 390400 397200 403820 406464 423400 423680 424560 427488 445300 445440 448512 452864 460752 467200 468480 479950 483260 484584 504775 508080 508416 516548 529600 530700 534360 541952 556800 560640 566080 569984 575940 579912 585539 585600 593920 604075 605730 614336 624640 635100 635520 645685 646112 667950 677440 677888 679296 700727 700800 707600 712480 719925 724890 742400 747520 749568 767920 773216 774822 780800 794400 807640 812928 846800 847360 849120 854976 890600 890880 897024 905728 921504 934400 936960 959900 966520 969168 1009550 1016160 1016832 1033096 1059200 1061400 1068720 1083904 1113600 1121280 1132160 1139968 1151880 1159824 1171078 1171200 1208150 1211460 1228672 1249280 1270200 1271040 1291370 1292224 1335900 1354880 1355776 1358592 1401454 1401600 1415200 1424960 1439850 1449780 1473943 1484800 1495040 1514325 1535840 1546432 1549644 1561600 1588800 1615280 1625856 1693600 1694720 1698240 1709952 1756617 1781200 1781760 1811456 1812225 1843008 1868800 1873920 1919800 1933040 1937055 1938336 2019100 2032320 2033664 2066192 2102181 2118400 2122800 2137440 2167808 2227200 2242560 2264320 2279936 2303760 2319648 2342156 2342400 2416300 2422920 2457344 2540400 2542080 2582740 2584448 2671800 2709760 2717184 2802908 2803200 2830400 2849920 2879700 2899560 2927695 2947886 2969600 3028650 3071680 3092864 3099288 3123200 3177600 3228425 3230560 3251712 3387200 3389440 3396480 3419904 3503635 3513234 3562400 3622912 3624450 3686016 3737600 3747840 3839600 3866080 3874110 3876672 4038200 4064640 4067328 4132384 4204362 4236800 4245600 4274880 4335616 4421829 4454400 4485120 4528640 4559872 4607520 4639296 4684312 4684800 4832600 4845840 4914688 5080800 5084160 5165480 5168896 5343600 5419520 5434368 5605816 5606400 5660800 5699840 5759400 5799120 5855390 5895772 6057300 6143360 6185728 6198576 6246400 6355200 6456850 6461120 6503424 6774400 6778880 6792960 6839808 7007270 7026468 7124800 7245824 7248900 7369715 7372032 7475200 7679200 7732160 7748220 7753344 8076400 8129280 8264768 8408724 8473600 8491200 8549760 8671232 8783085 8843658 8908800 9057280 9119744 9215040 9278592 9368624 9369600 9665200 9685275 9691680 9829376 10161600 10168320 10330960 10337792 10510905 10687200 10839040 10868736 11211632 11212800 11321600 11399680 11518800 11598240 11710780 11791544 12114600 12286720 12371456 12397152 12710400 12913700 12922240 13006848 13548800 13585920 13679616 14014540 14052936 14249600 14497800 14638475 14739430 14744064 15358400 15464320 15496440 15506688 16152800 16258560 16529536 16817448 16947200 16982400 17099520 17518175 17566170 17687316 18114560 18239488 18430080 18557184 18737248 18739200 19330400 19370550 19383360 19658752 20323200 20336640 20661920 20675584 21021810 21374400 21678080 21737472 22109145 22423264 22425600 22643200 22799360 23037600 23196480 23421560 23583088 24229200 24573440 24742912 24794304 25420800 25827400 25844480 26013696 27097600 27171840 27359232 28029080 28105872 28499200 28995600 29276950 29478860 29488128 30716800 30928640 30992880 31013376 32305600 32517120 33059072 33634896 33894400 33964800 34199040 35036350 35132340 35374632 36229120 36848575 36860160 37114368 37474496 38660800 38741100 38766720 39317504 40646400 41323840 41351168 42043620 42744347 42748800 43356160 43915425 44218290 44846528 45286400 45598720 46075200 46392960 46843120 47166176 48458400 49146880 49485824 49588608 50841600 51654800 51688960 52554525 54195200 54343680 54718464 56058160 56211744 56998400 57991200 58553900 58957720 58976256 61433600 61857280 61985760 62026752 64611200 65034240 66118144 67269792 67929600 68398080 70072700 70264680 70749264 73697150 73720320 74228736 74948992 77321600 77482200 77533440 81292800 82647680 82702336 84087240 85488694 85497600 87830850 88436580 89693056 90572800 91197440 92150400 92785920 93686240 94332352 96916800 98293760 98971648 99177216 101683200 103309600 103377920 105109050 108390400 108687360 110545725 112116320 112423488 113996800 115982400 117107800 117915440 117952512 122867200 123714560 123971520 124053504 128233041 129222400 130068480 132236288 134539584 135859200 136796160 140145400 140529360 141498528 147394300 147440640 148457472 149897984 154643200 154964400 155066880 162585600 165295360 168174480 170977388 170995200 175661700 176873160 179386112 181145600 184300800 185571840 187372480 188664704 193833600 196587520 198354432 206619200 206755840 210218100 213721735 216780800 221091450 224232640 224846976 227993600 231964800 234215600 235830880 245734400 247429120 247943040 248107008 256466082 258444800 264472576 269079168 271718400 273592320 280290800 281058720 282997056 294788600 294881280 296914944 299795968 309286400 309928800 310133760 325171200 330590720 336348960 341954776 341990400 351323400 353746320 358772224 368601600 371143680 374744960 377329408 387667200 396708864 413238400 413511680 420436200 427443470 442182900 448465280 449693952 455987200 463929600 468431200 471661760 491468800 494858240 495886080 512932164 516889600 528945152 538158336 543436800 560581600 562117440 565994112 589577200 589762560 599591936 618572800 619857600 620267520 641165205 650342400 661181440 672697920 683909552 683980800 702646800 707492640 717544448 737203200 742287360 749489920 754658816 775334400 793417728 826476800 840872400 854886940 884365800 896930560 899387904 927859200 936862400 943323520 982937600 991772160 1025864328 1033779200 1068608675 1076316672 1121163200 1124234880 1131988224 1179154400 1199183872 1237145600 1239715200 1240535040 1282330410 1322362880 1345395840 1367819104 1367961600 1405293600 1414985280 1435088896 1474406400 1484574720 1498979840 1509317632 1550668800 1586835456 1652953600 1681744800 1709773880 1768731600 1793861120 1798775808 1855718400 1873724800 1886647040 1983544320 2051728656 2067558400 2137217350 2152633344 2242326400 2248469760 2263976448 2358308800 2398367744 2474291200 2479430400 2564660820 2644725760 2690791680 2735638208 2810587200 2829970560 2870177792 2948812800 2997959680 3018635264 3101337600 3205826025 3305907200 3363489600 3419547760 3537463200 3587722240 3597551616 3711436800 3747449600 3773294080 3967088640 4103457312 4274434700 4305266688 4484652800 4496939520 4527952896 4716617600 4958860800 5129321640 5381583360 5471276416 5621174400 5659941120 5995919360 6037270528 6202675200 6411652050 6611814400 6726979200 6839095520 7074926400 7175444480 7195103232 7422873600 7494899200 7546588160 7934177280 8206914624 8548869400 8610533376 8969305600 8993879040 9055905792 9433235200 9917721600 10258643280 10763166720 10942552832 11242348800 11319882240 11991838720 12823304100 13223628800 13453958400 13678191040 14149852800 14350888960 14989798400 15093176320 16413829248 17097738800 17938611200 17987758080 18111811584 18866470400 19835443200 20517286560 21526333440 21885105664 22484697600 22639764480 25646608200 26907916800 27356382080 28299705600 29979596800 30186352640 32827658496 34195477600 35877222400 35975516160 37732940800 39670886400 41034573120 43052666880 43770211328 44969395200 45279528960 51293216400 53815833600 54712764160 56599411200 59959193600 65655316992 68390955200 71754444800 75465881600 82069146240 87540422656 89938790400 90559057920 102586432800 107631667200 109425528320 113198822400 131310633984 136781910400 150931763200 164138292480 175080845312 179877580800 205172865600 215263334400 218851056640 226397644800 262621267968 273563820800 328276584960 410345731200 437702113280 452795289600 525242535936 547127641600 656553169920 820691462400 875404226560 1094255283200 1313106339840 1641382924800 2188510566400 2626212679680 3282765849600 4377021132800 6565531699200 13131063398400
- Sum of all divisors σ(n): 46413183592320
- Sum of proper divisors (its aliquot sum) s(n): 33282120193920
- 13131063398400 is an abundant number, because the sum of its proper divisors (33282120193920) is greater than itself. Its abundance is 20151056795520
Bases of 13131063398400
- Binary: 101111110001010100000101111010010000000000002
- Hexadecimal: 0xBF1505E9000
- Base-36: 4NKBS42YO
Squares and roots of 13131063398400
- 13131063398400 squared (131310633984002) is 172424825972800157122560000
- 13131063398400 cubed (131310633984003) is 2264121321306925817149816678907904000000
-
The
square root of 13131063398400 is 3623680.9184032747 -
The
cube root of 13131063398400 is 23592.1017560981
Scales and comparisons
How big is 13131063398400?- 13,131,063,398,400 seconds is equal to 417,527 years, 10 weeks, 2 days, 10 hours, 40 minutes.
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To count from 1 to 13,131,063,398,400 would take you about one million, forty-three thousand, eight hundred seventeen 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 13131063398400 cubic inches would be around 1966 feet tall.
Recreational maths with 13131063398400
- 13131063398400 backwards is 00489336013131
- The number of decimal digits it has is: 14
- The sum of 13131063398400's digits is 42
- More coming soon!
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The information we have on file for 13131063398400 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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