13084514893824000
13,084,514,893,824,000 is an even composite number composed of six prime numbers multiplied together.
What does the number 13084514893824000 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 1728 divisors.
13084514893824000 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one thousand, seven hundred twenty-eight divisors.
Prime factorization of 13084514893824000:
217 × 3 × 53 × 11 × 67 × 6012
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 5 × 5 × 11 × 67 × 601 × 601)See below for interesting mathematical facts about the number 13084514893824000 from the Numbermatics database.
Names of 13084514893824000
- Cardinal: 13084514893824000 can be written as Thirteen quadrillion, eighty-four trillion, five hundred fourteen billion, eight hundred ninety-three million, eight hundred twenty-four thousand.
Scientific notation
- Scientific notation: 1.3084514893824 × 1016
Factors of 13084514893824000
Divisors of 13084514893824000
- Number of divisors d(n): 1728
-
Complete list of divisors:
1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 25 30 32 33 40 44 48 50 55 60 64 66 67 75 80 88 96 100 110 120 125 128 132 134 150 160 165 176 192 200 201 220 240 250 256 264 268 275 300 320 330 335 352 375 384 400 402 440 480 500 512 528 536 550 600 601 640 660 670 704 737 750 768 800 804 825 880 960 1000 1005 1024 1056 1072 1100 1200 1202 1280 1320 1340 1375 1408 1474 1500 1536 1600 1608 1650 1675 1760 1803 1920 2000 2010 2048 2112 2144 2200 2211 2400 2404 2560 2640 2680 2750 2816 2948 3000 3005 3072 3200 3216 3300 3350 3520 3606 3685 3840 4000 4020 4096 4125 4224 4288 4400 4422 4800 4808 5025 5120 5280 5360 5500 5632 5896 6000 6010 6144 6400 6432 6600 6611 6700 7040 7212 7370 7680 8000 8040 8192 8250 8375 8448 8576 8800 8844 9015 9600 9616 10050 10240 10560 10720 11000 11055 11264 11792 12000 12020 12288 12800 12864 13200 13222 13400 14080 14424 14740 15025 15360 16000 16080 16384 16500 16750 16896 17152 17600 17688 18030 18425 19200 19232 19833 20100 20480 21120 21440 22000 22110 22528 23584 24000 24040 24576 25125 25600 25728 26400 26444 26800 28160 28848 29480 30050 30720 32000 32160 32768 33000 33055 33500 33792 34304 35200 35376 36060 36850 38400 38464 39666 40200 40267 40960 42240 42880 44000 44220 45056 45075 47168 48000 48080 49152 50250 51200 51456 52800 52888 53600 55275 56320 57696 58960 60100 61440 64000 64320 65536 66000 66110 67000 67584 68608 70400 70752 72120 73700 75125 76800 76928 79332 80400 80534 81920 84480 85760 88000 88440 90112 90150 92125 94336 96000 96160 98304 99165 100500 102400 102912 105600 105776 107200 110550 112640 115392 117920 120200 120801 122880 128000 128640 131072 132000 132220 134000 135168 137216 140800 141504 144240 147400 150250 153600 153856 158664 160800 161068 163840 165275 168960 171520 176000 176880 180224 180300 184250 188672 192000 192320 196608 198330 201000 201335 204800 205824 211200 211552 214400 221100 225280 225375 230784 235840 240400 241602 245760 256000 257280 264000 264440 268000 270336 274432 276375 281600 283008 288480 294800 300500 307200 307712 317328 321600 322136 327680 330550 337920 343040 352000 353760 360448 360600 361201 368500 377344 384000 384640 393216 396660 402000 402670 409600 411648 422400 423104 428800 442200 442937 450560 450750 461568 471680 480800 483204 491520 495825 512000 514560 528000 528880 536000 540672 548864 552750 563200 566016 576960 589600 601000 604005 614400 615424 634656 643200 644272 655360 661100 675840 686080 704000 707520 720896 721200 722402 737000 754688 768000 769280 793320 804000 805340 819200 823296 826375 844800 846208 857600 884400 885874 901120 901500 923136 943360 961600 966408 983040 991650 1006675 1024000 1029120 1056000 1057760 1072000 1081344 1083603 1097728 1105500 1126400 1132032 1153920 1179200 1202000 1208010 1228800 1230848 1269312 1286400 1288544 1322200 1328811 1351680 1372160 1408000 1415040 1441792 1442400 1444804 1474000 1509376 1536000 1538560 1586640 1608000 1610680 1638400 1646592 1652750 1689600 1692416 1715200 1768800 1771748 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30187520 30200250 30771200 30925056 31732800 31785688 32213600 32931840 33220275 33792000 33848320 34304000 34675296 35376000 35434960 36044800 36120100 36225024 36925440 37734400 38464000 38656320 39387136 39666000 39732110 40267000 40617984 41164800 41233408 42310400 42521952 43344120 43909120 44293700 45056000 45150125 45281280 46156800 46233728 47168000 47678532 48300032 48320400 48400934 49152000 49233920 50772480 51456000 51541760 52888000 53152440 54067200 54157312 54180150 54886400 55367125 56601600 56695936 57696000 57792160 59080704 59598165 60375040 60400500 61542400 61850112 63465600 63571376 64427200 65863680 66440550 67584000 67696640 68608000 69350592 70752000 70869920 72240200 72450048 72601401 73850880 75468800 76928000 77312640 78774272 79332000 79464220 80534000 81235968 82329600 82466816 84620800 85043904 86688240 88587400 90112000 90300250 90562560 92313600 92467456 94336000 95357064 96600064 96640800 96801868 98467840 99330275 101544960 102912000 103083520 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324943872000 325485445120 329867264000 340175616000 340742575360 355075031040 362853990400 369869824000 371719173120 381428256000 387207472000 390582534144 395840716800 396500451328 399307705500 406856806400 408891090432 425928219200 435424788480 443843788800 453567488000 464648966400 488228167680 494800896000 495625564160 508571008000 511113863040 520776712192 532410274000 544280985600 545188120576 554804736000 580811208000 591791718400 594750676992 610285209600 619531955200 638892328800 650970890240 659734528000 680351232000 681485150720 710150062080 725707980800 739739648000 743438346240 762856512000 774414944000 781165068288 793000902656 798615411000 813713612800 817782180864 851856438400 870849576960 887687577600 907134976000 929297932800 976456335360 989601792000 991251128320 1017142016000 1022227726080 1064820548000 1088561971200 1090376241152 1109609472000 1161622416000 1183583436800 1189501353984 1220570419200 1239063910400 1277784657600 1301941780480 1360702464000 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8137136128000 8177821808640 8518564384000 8723009929216 8876875776000 9292979328000 9516010831872 9764563353600 9912511283200 10222277260800 10885619712000 10903762411520 11895013539840 12205704192000 12390639104000 12777846576000 13019417804800 13084514893824 13629703014400 14868766924800 15860018053120 16274272256000 16355643617280 17037128768000 17446019858432 17753751552000 18585958656000 19529126707200 19825022566400 20444554521600 21771239424000 21807524823040 23790027079680 24411408384000 24781278208000 25555693152000 26169029787648 27259406028800 29737533849600 32548544512000 32711287234560 34074257536000 34892039716864 37171917312000 39058253414400 39650045132800 40889109043200 43615049646080 47580054159360 48822816768000 49562556416000 51111386304000 52338059575296 54518812057600 59475067699200 65097089024000 65422574469120 68148515072000 74343834624000 79300090265600 81778218086400 87230099292160 97645633536000 99125112832000 102222772608000 104676119150592 109037624115200 118950135398400 130845148938240 136297030144000 148687669248000 163556436172800 174460198584320 195291267072000 198250225664000 204445545216000 218075248230400 237900270796800 261690297876480 272594060288000 297375338496000 327112872345600 396500451328000 408891090432000 436150496460800 523380595752960 545188120576000 594750676992000 654225744691200 817782180864000 872300992921600 1090376241152000 1189501353984000 1308451489382400 1635564361728000 2180752482304000 2616902978764800 3271128723456000 4361504964608000 6542257446912000 13084514893824000
- Sum of all divisors σ(n): 48293110347745536
- Sum of proper divisors (its aliquot sum) s(n): 35208595453921536
- 13084514893824000 is an abundant number, because the sum of its proper divisors (35208595453921536) is greater than itself. Its abundance is 22124080560097536
Bases of 13084514893824000
- Binary: 1011100111110001001100000001100100111000000000000000002
- Hexadecimal: 0x2E7C4C064E0000
- Base-36: 3KU2N5RMAYO
Squares and roots of 13084514893824000
- 13084514893824000 squared (130845148938240002) is 171204530006702081993342976000000
- 13084514893824000 cubed (130845148938240003) is 2240128222762831314381525811891456180224000000000
-
The
square root of 13084514893824000 is 114387564.4194944821 -
The
cube root of 13084514893824000 is 235641.9141776595
Scales and comparisons
How big is 13084514893824000?- 13,084,514,893,824,000 seconds is equal to 416,047,100 years, 29 weeks, 1 day, 10 hours, 40 minutes.
-
To count from 1 to 13,084,514,893,824,000 would take you about one billion, two hundred forty-eight million, one hundred forty-one thousand, three hundred one 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 13084514893824000 cubic inches would be around 19636.8 feet tall.
Recreational maths with 13084514893824000
- 13084514893824000 backwards is 00042839841548031
- 13084514893824000 is a
Harshad number . - The number of decimal digits it has is: 17
- The sum of 13084514893824000's digits is 60
- More coming soon!
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"Number 13084514893824000 - Facts about the integer". Numbermatics.com. 2024. Web. 19 June 2024.
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Numbermatics. (2024). Number 13084514893824000 - Facts about the integer. Retrieved 19 June 2024, from https://numbermatics.com/n/13084514893824000/
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The information we have on file for 13084514893824000 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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