13513135327200
13,513,135,327,200 is an even composite number composed of six prime numbers multiplied together.
What does the number 13513135327200 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 2160 divisors.
13513135327200 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of two thousand, one hundred sixty divisors.
Prime factorization of 13513135327200:
25 × 39 × 52 × 19 × 312 × 47
(2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 5 × 5 × 19 × 31 × 31 × 47)See below for interesting mathematical facts about the number 13513135327200 from the Numbermatics database.
Names of 13513135327200
- Cardinal: 13513135327200 can be written as Thirteen trillion, five hundred thirteen billion, one hundred thirty-five million, three hundred twenty-seven thousand, two hundred.
Scientific notation
- Scientific notation: 1.35131353272 × 1013
Factors of 13513135327200
Divisors of 13513135327200
- Number of divisors d(n): 2160
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 15 16 18 19 20 24 25 27 30 31 32 36 38 40 45 47 48 50 54 57 60 62 72 75 76 80 81 90 93 94 95 96 100 108 114 120 124 135 141 144 150 152 155 160 162 171 180 186 188 190 200 216 225 228 235 240 243 248 270 279 282 285 288 300 304 310 324 342 360 372 376 380 400 405 423 432 450 456 465 470 475 480 486 496 513 540 558 564 570 589 600 608 620 648 675 684 705 720 729 744 752 760 775 800 810 837 846 855 864 893 900 912 930 940 950 961 972 992 1026 1080 1116 1128 1140 1175 1178 1200 1215 1240 1269 1296 1350 1368 1395 1410 1425 1440 1457 1458 1488 1504 1520 1539 1550 1620 1674 1692 1710 1767 1786 1800 1824 1860 1880 1900 1922 1944 2025 2052 2115 2160 2187 2232 2256 2280 2325 2350 2356 2400 2430 2480 2511 2538 2565 2592 2679 2700 2736 2790 2820 2850 2883 2914 2916 2945 2976 3040 3078 3100 3240 3348 3384 3420 3525 3534 3572 3600 3645 3720 3760 3800 3807 3844 3888 4050 4104 4185 4230 4275 4320 4371 4374 4464 4465 4512 4560 4617 4650 4700 4712 4805 4860 4960 5022 5076 5130 5301 5358 5400 5472 5580 5640 5700 5766 5828 5832 5890 6075 6156 6200 6345 6480 6561 6696 6768 6840 6975 7050 7068 7144 7200 7285 7290 7440 7520 7533 7600 7614 7688 7695 7776 8037 8100 8208 8370 8460 8550 8649 8742 8748 8835 8928 8930 9120 9234 9300 9400 9424 9610 9720 10044 10152 10260 10575 10602 10716 10800 10935 11160 11280 11400 11421 11532 11656 11664 11780 12150 12312 12400 12555 12690 12825 12960 13113 13122 13392 13395 13536 13680 13851 13950 14100 14136 14288 14415 14570 14580 14725 14880 15066 15200 15228 15376 15390 15903 16074 16200 16416 16740 16920 17100 17298 17484 17496 17670 17860 18225 18259 18468 18600 18800 18848 19035 19220 19440 19683 20088 20304 20520 20925 21150 21204 21432 21600 21855 21870 22320 22325 22560 22599 22800 22842 23064 23085 23312 23328 23560 24025 24111 24300 24624 24800 25110 25380 25650 25947 26226 26244 26505 26784 26790 27360 27683 27702 27900 28200 28272 28576 28830 29140 29160 29450 30132 30456 30752 30780 31725 31806 32148 32400 32805 33480 33840 34200 34263 34596 34968 34992 35340 35720 36425 36450 36518 36936 37200 37600 37665 38070 38440 38475 38880 39339 39366 40176 40185 40608 41040 41553 41850 42300 42408 42864 43245 43710 43740 44175 44640 44650 45167 45198 45600 45684 46128 46170 46624 47120 47709 48050 48222 48600 49248 50220 50760 51300 51894 52452 52488 53010 53580 54675 54777 55366 55404 55800 56400 56544 57105 57660 58280 58320 58900 60264 60912 61560 62775 63450 63612 64296 64800 65565 65610 66960 66975 67680 67797 68400 68526 69192 69255 69936 69984 70680 71440 72075 72333 72850 72900 73036 73872 74400 75330 76140 76880 76950 77841 78678 78732 79515 80352 80370 82080 83049 83106 83700 84600 84816 85728 86490 87420 87480 88350 89300 90334 90396 91295 91368 92256 92340 94240 95175 95418 96100 96444 97200 98415 100440 101520 102600 102789 103788 104904 104976 106020 107160 109275 109350 109554 110732 110808 111600 112800 112995 114210 115320 115425 116560 116640 117800 118017 120528 120555 121824 123120 124659 125550 126900 127224 128592 129735 131130 131220 132525 133920 133950 135501 135594 136800 137052 138384 138415 138510 139872 141360 142880 143127 144150 144666 145700 145800 146072 147744 150660 152280 153760 153900 155682 157356 157464 159030 160740 164025 164331 166098 166212 167400 169200 169632 171315 172980 174840 174960 176700 178600 180668 180792 182590 182736 184680 188325 190350 190836 192200 192888 194400 196695 196830 200880 200925 203040 203391 205200 205578 207576 207765 209808 209952 212040 214320 216225 216999 218550 218700 219108 221464 221616 223200 225835 225990 228420 230640 230850 233120 233523 235600 236034 238545 241056 241110 246240 249147 249318 251100 253800 254448 257184 259470 262260 262440 265050 267900 271002 271188 273885 274104 276768 276830 277020 282720 285525 286254 288300 289332 291400 291600 292144 301320 304560 307800 308367 311364 314712 314928 318060 321480 327825 328050 328662 332196 332424 334800 338400 338985 342630 345960 346275 349680 349920 353400 354051 357200 361336 361584 361665 365180 365472 369360 373977 376650 380700 381672 384400 385776 389205 393390 393660 397575 401760 401850 406503 406782 410400 411156 415152 415245 415530 419616 424080 428640 429381 432450 433998 437100 437400 438216 442928 443232 451670 451980 456475 456840 461280 461700 467046 471200 472068 477090 482220 492075 492993 498294 498636 502200 507600 508896 513945 518940 524520 524880 530100 535800 542004 542376 547770 548208 553660 554040 564975 571050 572508 576600 578664 582800 583200 584288 590085 602640 602775 609120 610173 615600 616734 622728 623295 629424 629856 636120 642960 648675 650997 655650 656100 657324 664392 664848 669600 677505 677970 685260 691920 692075 692550 699360 700569 706800 708102 714400 715635 722672 723168 723330 730360 738720 747441 747954 753300 761400 763344 768800 771552 778410 786780 787320 795150 803700 813006 813564 821655 822312 830304 830490 831060 848160 856575 858173 858762 864900 867996 874200 874800 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493901145 504409680 504522675 509833440 514903800 515257200 520797600 526827888 532432440 538157520 544884489 548779050 556096104 560455200 562461408 573562620 579266775 579664350 585364320 585897300 591591600 592681374 597952800 598986495 605291616 605427210 617884560 618308640 625608117 630512100 637291800 638918928 645789024 658534860 665540550 672696900 686538400 695120130 703076760 709909920 716953275 718783794 726512652 731705400 740080800 741461472 756614520 764750160 772355700 772885800 781196400 790241832 798648660 807236280 823168575 834144156 840682800 849722400 878046480 878845950 887387400 889022061 896929200 908140815 917700192 926826840 927462960 937435680 945768150 955937700 958378392 968683536 975607200 987802290 998310825 1008819360 1009045350 1029807600 1030514400 1042680195 1053655776 1064864880 1076315040 1089768978 1097558100 1112192208 1147125240 1158533550 1159328700 1171794600 1183183200 1185362748 1197972990 1210854420 1235769120 1251216234 1261024200 1274583600 1277837856 1317069720 1331081100 1345393800 1390240260 1406153520 1433906550 1437567588 1453025304 1463410800 1481703435 1513229040 1513568025 1529500320 1544711400 1545771600 1562392800 1580483664 1597297320 1614472560 1646337150 1668288312 1681365600 1737800325 1756092960 1757691900 1774774800 1778044122 1793858400 1796959485 1816281630 1853653680 1854925920 1876824351 1891536300 1911875400 1916756784 1937367072 1975604580 1996621650 2018090700 2059615200 2085360390 2129729760 2179537956 2195116200 2224384416 2294250480 2317067100 2318657400 2343589200 2370725496 2395945980 2421708840 2469505725 2502432468 2522048400 2549167200 2634139440 2662162200 2690787600 2724422445 2780480520 2812307040 2867813100 2875135176 2906050608 2926821600 2963406870 2994932475 3026458080 3027136050 3089422800 3091543200 3128040585 3160967328 3194594640 3228945120 3292674300 3336576624 3475600650 3515383800 3549549600 3556088244 3593918970 3632563260 3707307360 3753648702 3783072600 3823750800 3833513568 3951209160 3993243300 4036181400 4170720780 4359075912 4390232400 4445110305 4540704075 4588500960 4634134200 4637314800 4687178400 4741450992 4791891960 4843417680 4939011450 5004864936 5044096800 5213400975 5268278880 5324324400 5381575200 5448844890 5560961040 5630473053 5735626200 5750270352 5812101216 5926813740 5989864950 6054272100 6178845600 6256081170 6389189280 6585348600 6673153248 6951201300 7030767600 7112176488 7187837940 7265126520 7408517175 7507297404 7566145200 7647501600 7902418320 7986486600 8072362800 8341441560 8718151824 8780464800 8890220610 8984797425 9081408150 9268268400 9274629600 9384121755 9482901984 9583783920 9686835360 9878022900 10009729872 10426801950 10648648800 10897689780 11121922080 11260946106 11471252400 11500540704 11853627480 11979729900 12108544200 12512162340 13170697200 13622112225 13902402600 14061535200 14224352976 14375675880 14530253040 14817034350 15014594808 15132290400 15640202925 15804836640 15972973200 16144725600 16682883120 16891419159 17436303648 17780441220 17969594850 18162816300 18536536800 18768243510 19167567840 19756045800 20019459744 20853603900 21795379560 22225551525 22521892212 22942504800 23707254960 23959459800 24217088400 25024324680 26341394400 27244224450 27804805200 28152365265 28448705952 28751351760 29060506080 29634068700 30029189616 31280405850 31945946400 33365766240 33782838318 35560882440 35939189700 36325632600 37536487020 39512091600 41707207800 43590759120 44451103050 45043784424 46920608775 47414509920 47918919600 48434176800 50048649360 54488448900 55609610400 56304730530 57502703520 59268137400 60058379232 62560811700 67565676636 71121764880 71878379400 72651265200 75072974040 79024183200 83414415600 84457095795 87181518240 88902206100 90087568848 93841217550 95837839200 100097298720 108976897800 112609461060 118536274800 125121623400 135131353272 140761826325 142243529760 143756758800 145302530400 150145948080 166828831200 168914191590 177804412200 180175137696 187682435100 217953795600 225218922120 237072549600 250243246800 270262706544 281523652650 287513517600 300291896160 337828383180 355608824400 375364870200 422285478975 435907591200 450437844240 500486493600 540525413088 563047305300 675656766360 711217648800 750729740400 844570957950 900875688480 1126094610600 1351313532720 1501459480800 1689141915900 2252189221200 2702627065440 3378283831800 4504378442400 6756567663600 13513135327200
- Sum of all divisors σ(n): 54966479420160
- Sum of proper divisors (its aliquot sum) s(n): 41453344092960
- 13513135327200 is an abundant number, because the sum of its proper divisors (41453344092960) is greater than itself. Its abundance is 27940208765760
Bases of 13513135327200
- Binary: 110001001010010001011010000110000111111000002
- Hexadecimal: 0xC4A45A187E0
- Base-36: 4SFUJVI00
Squares and roots of 13513135327200
- 13513135327200 squared (135131353272002) is 182604826371220651059840000
- 13513135327200 cubed (135131353272003) is 2467563730154163961222908025179648000000
-
The
square root of 13513135327200 is 3676021.6712092435 -
The
cube root of 13513135327200 is 23818.7358807351
Scales and comparisons
How big is 13513135327200?- 13,513,135,327,200 seconds is equal to 429,675 years, 47 weeks, 6 hours.
-
To count from 1 to 13,513,135,327,200 would take you about one million, seventy-four thousand, one hundred eighty-nine 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 13513135327200 cubic inches would be around 1984.9 feet tall.
Recreational maths with 13513135327200
- 13513135327200 backwards is 00272353131531
- 13513135327200 is a
Harshad number . - The number of decimal digits it has is: 14
- The sum of 13513135327200's digits is 36
- More coming soon!
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MLA style:
"Number 13513135327200 - Facts about the integer". Numbermatics.com. 2024. Web. 11 May 2024.
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Numbermatics. (2024). Number 13513135327200 - Facts about the integer. Retrieved 11 May 2024, from https://numbermatics.com/n/13513135327200/
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The information we have on file for 13513135327200 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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