13388953190400
13,388,953,190,400 is an even composite number composed of five prime numbers multiplied together.
What does the number 13388953190400 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 1152 divisors.
13388953190400 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one thousand, one hundred fifty-two divisors.
Prime factorization of 13388953190400:
215 × 35 × 52 × 103 × 653
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 5 × 5 × 103 × 653)See below for interesting mathematical facts about the number 13388953190400 from the Numbermatics database.
Names of 13388953190400
- Cardinal: 13388953190400 can be written as Thirteen trillion, three hundred eighty-eight billion, nine hundred fifty-three million, one hundred ninety thousand, four hundred.
Scientific notation
- Scientific notation: 1.33889531904 × 1013
Factors of 13388953190400
Divisors of 13388953190400
- Number of divisors d(n): 1152
-
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 54 60 64 72 75 80 81 90 96 100 103 108 120 128 135 144 150 160 162 180 192 200 206 216 225 240 243 256 270 288 300 309 320 324 360 384 400 405 412 432 450 480 486 512 515 540 576 600 618 640 648 653 675 720 768 800 810 824 864 900 927 960 972 1024 1030 1080 1152 1200 1215 1236 1280 1296 1306 1350 1440 1536 1545 1600 1620 1648 1728 1800 1854 1920 1944 1959 2025 2048 2060 2160 2304 2400 2430 2472 2560 2575 2592 2612 2700 2781 2880 3072 3090 3200 3240 3265 3296 3456 3600 3708 3840 3888 3918 4050 4096 4120 4320 4608 4635 4800 4860 4944 5120 5150 5184 5224 5400 5562 5760 5877 6075 6144 6180 6400 6480 6530 6592 6912 7200 7416 7680 7725 7776 7836 8100 8192 8240 8343 8640 9216 9270 9600 9720 9795 9888 10240 10300 10368 10448 10800 11124 11520 11754 12150 12288 12360 12800 12960 13060 13184 13824 13905 14400 14832 15360 15450 15552 15672 16200 16325 16384 16480 16686 17280 17631 18432 18540 19200 19440 19590 19776 20480 20600 20736 20896 21600 22248 23040 23175 23508 24300 24576 24720 25029 25600 25920 26120 26368 27648 27810 28800 29385 29664 30720 30900 31104 31344 32400 32650 32768 32960 33372 34560 35262 36864 37080 38400 38880 39180 39552 40960 41200 41472 41715 41792 43200 44496 46080 46350 47016 48600 48975 49152 49440 50058 51200 51840 52240 52736 52893 55296 55620 57600 58770 59328 61440 61800 62208 62688 64800 65300 65920 66744 67259 69120 69525 70524 73728 74160 76800 77760 78360 79104 81920 82400 82944 83430 83584 86400 88155 88992 92160 92700 94032 97200 97950 98304 98880 100116 102400 103680 104480 105472 105786 110592 111240 115200 117540 118656 122880 123600 124416 125145 125376 129600 130600 131840 133488 134518 138240 139050 141048 146925 147456 148320 153600 155520 156720 158208 158679 163840 164800 165888 166860 167168 172800 176310 177984 184320 185400 188064 194400 195900 197760 200232 201777 204800 207360 208575 208960 210944 211572 221184 222480 230400 235080 237312 245760 247200 248832 250290 250752 259200 261200 263680 264465 266976 269036 276480 278100 282096 293850 294912 296640 307200 311040 313440 316416 317358 329600 331776 333720 334336 336295 345600 352620 355968 368640 370800 376128 388800 391800 395520 400464 403554 409600 414720 417150 417920 421888 423144 440775 442368 444960 460800 470160 474624 491520 494400 497664 500580 501504 518400 522400 527360 528930 533952 538072 552960 556200 564192 587700 593280 605331 614400 622080 625725 626880 632832 634716 659200 663552 667440 668672 672590 691200 705240 711936 737280 741600 752256 777600 783600 791040 793395 800928 807108 819200 829440 834300 835840 843776 846288 881550 884736 889920 921600 940320 949248 988800 995328 1001160 1003008 1008885 1036800 1044800 1054720 1057860 1067904 1076144 1105920 1112400 1128384 1175400 1186560 1210662 1228800 1244160 1251450 1253760 1265664 1269432 1318400 1322325 1327104 1334880 1337344 1345180 1382400 1410480 1423872 1474560 1483200 1504512 1555200 1567200 1582080 1586790 1601856 1614216 1658880 1668600 1671680 1681475 1687552 1692576 1763100 1779840 1815993 1843200 1880640 1898496 1977600 1990656 2002320 2006016 2017770 2073600 2089600 2109440 2115720 2135808 2152288 2211840 2224800 2256768 2350800 2373120 2421324 2457600 2488320 2502900 2507520 2531328 2538864 2636800 2644650 2654208 2669760 2674688 2690360 2764800 2820960 2847744 2966400 3009024 3026655 3110400 3134400 3164160 3173580 3203712 3228432 3317760 3337200 3343360 3362950 3375104 3385152 3526200 3559680 3631986 3686400 3761280 3796992 3955200 3966975 3981312 4004640 4012032 4035540 4147200 4179200 4218880 4231440 4271616 4304576 4423680 4449600 4513536 4701600 4746240 4842648 4976640 5005800 5015040 5044425 5062656 5077728 5273600 5289300 5339520 5349376 5380720 5447979 5529600 5641920 5695488 5932800 6018048 6053310 6220800 6268800 6328320 6347160 6407424 6456864 6635520 6674400 6686720 6725900 6770304 7052400 7119360 7263972 7372800 7522560 7593984 7910400 7933950 7962624 8009280 8024064 8071080 8294400 8358400 8437760 8462880 8543232 8609152 8899200 9027072 9079965 9403200 9492480 9685296 9953280 10011600 10030080 10088850 10125312 10155456 10547200 10578600 10679040 10698752 10761440 10895958 11059200 11283840 11390976 11865600 12036096 12106620 12441600 12537600 12656640 12694320 12814848 12913728 13271040 13348800 13373440 13451800 13540608 14104800 14238720 14527944 15045120 15133275 15187968 15820800 15867900 16018560 16048128 16142160 16343937 16588800 16716800 16875520 16925760 17086464 17218304 17798400 18054144 18159930 18806400 18984960 19370592 19906560 20023200 20060160 20177700 20310912 21094400 21157200 21358080 21397504 21522880 21791916 22118400 22567680 22781952 23731200 24072192 24213240 24883200 25075200 25313280 25388640 25629696 25827456 26697600 26746880 26903600 27081216 27239895 28209600 28477440 29055888 30090240 30266550 30375936 31641600 31735800 32037120 32096256 32284320 32687874 33177600 33433600 33851520 34172928 34436608 35596800 36108288 36319860 37612800 37969920 38741184 39813120 40046400 40120320 40355400 40621824 42188800 42314400 42716160 43045760 43583832 45135360 45399825 45563904 47462400 48144384 48426480 49766400 50150400 50626560 50777280 51259392 51654912 53395200 53493760 53807200 54162432 54479790 56419200 56954880 58111776 60180480 60533100 63283200 63471600 64074240 64192512 64568640 65375748 66355200 66867200 67703040 68345856 68873216 71193600 72216576 72639720 75225600 75939840 77482368 80092800 80240640 80710800 81243648 81719685 84377600 84628800 85432320 86091520 87167664 90270720 90799650 91127808 94924800 96288768 96852960 99532800 100300800 101554560 102518784 103309824 106790400 106987520 107614400 108324864 108959580 112838400 113909760 116223552 120360960 121066200 126566400 126943200 128148480 129137280 130751496 133734400 135406080 136199475 136691712 137746432 142387200 144433152 145279440 150451200 151879680 154964736 160185600 160481280 161421600 162487296 163439370 169257600 170864640 172183040 174335328 180541440 181599300 189849600 192577536 193705920 199065600 200601600 203109120 205037568 206619648 213580800 215228800 216649728 217919160 225676800 227819520 232447104 240721920 242132400 253132800 253886400 256296960 258274560 261502992 267468800 270812160 272398950 273383424 275492864 284774400 288866304 290558880 300902400 309929472 320371200 320962560 322843200 324974592 326878740 338515200 341729280 344366080 348670656 361082880 363198600 379699200 387411840 401203200 406218240 408598425 410075136 413239296 427161600 430457600 433299456 435838320 451353600 455639040 464894208 481443840 484264800 507772800 512593920 516549120 523005984 534937600 541624320 544797900 550985728 569548800 577732608 581117760 601804800 619858944 640742400 645686400 649949184 653757480 677030400 683458560 688732160 697341312 722165760 726397200 759398400 774823680 802406400 812436480 817196850 820150272 826478592 854323200 860915200 866598912 871676640 902707200 929788416 962887680 968529600 1015545600 1025187840 1033098240 1046011968 1083248640 1089595800 1101971456 1139097600 1162235520 1203609600 1239717888 1281484800 1291372800 1299898368 1307514960 1354060800 1366917120 1377464320 1394682624 1444331520 1452794400 1549647360 1604812800 1624872960 1634393700 1652957184 1708646400 1721830400 1733197824 1743353280 1805414400 1859576832 1937059200 2031091200 2050375680 2066196480 2092023936 2166497280 2179191600 2203942912 2278195200 2324471040 2407219200 2479435776 2562969600 2582745600 2599796736 2615029920 2708121600 2754928640 2789365248 2888663040 2905588800 3099294720 3249745920 3268787400 3305914368 3417292800 3443660800 3486706560 3610828800 3719153664 3874118400 4062182400 4100751360 4132392960 4184047872 4332994560 4358383200 4648942080 4814438400 4958871552 5125939200 5165491200 5199593472 5230059840 5416243200 5509857280 5578730496 5811177600 6198589440 6499491840 6537574800 6611828736 6834585600 6887321600 6973413120 7221657600 7438307328 7748236800 8124364800 8264785920 8368095744 8665989120 8716766400 9297884160 9917743104 10251878400 10330982400 10460119680 10832486400 11019714560 11157460992 11622355200 12397178880 12998983680 13075149600 13774643200 13946826240 14443315200 14876614656 15496473600 16248729600 16529571840 16736191488 17433532800 18595768320 19835486208 20503756800 20661964800 20920239360 21664972800 22314921984 23244710400 24794357760 25997967360 26150299200 27549286400 27893652480 29753229312 30992947200 32497459200 33059143680 33472382976 34867065600 37191536640 41323929600 41840478720 43329945600 44629843968 46489420800 49588715520 52300598400 55098572800 55787304960 59506458624 61985894400 64994918400 66944765952 69734131200 74383073280 82647859200 83680957440 89259687936 92978841600 99177431040 104601196800 111574609920 123971788800 129989836800 133889531904 139468262400 148766146560 165295718400 167361914880 178519375872 185957683200 209202393600 223149219840 247943577600 267779063808 278936524800 297532293120 334723829760 371915366400 418404787200 446298439680 495887155200 535558127616 557873049600 669447659520 743830732800 836809574400 892596879360 1115746099200 1338895319040 1487661465600 1673619148800 2231492198400 2677790638080 3347238297600 4462984396800 6694476595200 13388953190400
- Sum of all divisors σ(n): 50297623871040
- Sum of proper divisors (its aliquot sum) s(n): 36908670680640
- 13388953190400 is an abundant number, because the sum of its proper divisors (36908670680640) is greater than itself. Its abundance is 23519717490240
Bases of 13388953190400
- Binary: 110000101101010110111100110010000000000000002
- Hexadecimal: 0xC2D5BCC8000
- Base-36: 4QUST1C00
Squares and roots of 13388953190400
- 13388953190400 squared (133889531904002) is 179264067534722338652160000
- 13388953190400 cubed (133889531904003) is 2400158208943101718874986867851264000000
-
The
square root of 13388953190400 is 3659091.8532335315 -
The
cube root of 13388953190400 is 23745.5486042031
Scales and comparisons
How big is 13388953190400?- 13,388,953,190,400 seconds is equal to 425,727 years, 15 weeks, 3 days.
-
To count from 1 to 13,388,953,190,400 would take you about one million, sixty-four thousand, three hundred eighteen 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 13388953190400 cubic inches would be around 1978.8 feet tall.
Recreational maths with 13388953190400
- 13388953190400 backwards is 00409135988331
- 13388953190400 is a
Harshad number . - The number of decimal digits it has is: 14
- The sum of 13388953190400's digits is 54
- More coming soon!
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"Number 13388953190400 - Facts about the integer". Numbermatics.com. 2024. Web. 31 May 2024.
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The information we have on file for 13388953190400 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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