13205985408000
13,205,985,408,000 is an even composite number composed of six prime numbers multiplied together.
What does the number 13205985408000 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 2112 divisors.
13205985408000 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of two thousand, one hundred twelve divisors.
Prime factorization of 13205985408000:
210 × 32 × 53 × 7 × 11 × 533
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 5 × 5 × 7 × 11 × 53 × 53 × 53)See below for interesting mathematical facts about the number 13205985408000 from the Numbermatics database.
Names of 13205985408000
- Cardinal: 13205985408000 can be written as Thirteen trillion, two hundred five billion, nine hundred eighty-five million, four hundred eight thousand.
Scientific notation
- Scientific notation: 1.3205985408 × 1013
Factors of 13205985408000
Divisors of 13205985408000
- Number of divisors d(n): 2112
-
Complete list of divisors:
1 2 3 4 5 6 7 8 9 10 11 12 14 15 16 18 20 21 22 24 25 28 30 32 33 35 36 40 42 44 45 48 50 53 55 56 60 63 64 66 70 72 75 77 80 84 88 90 96 99 100 105 106 110 112 120 125 126 128 132 140 144 150 154 159 160 165 168 175 176 180 192 198 200 210 212 220 224 225 231 240 250 252 256 264 265 275 280 288 300 308 315 318 320 330 336 350 352 360 371 375 384 385 396 400 420 424 440 448 450 462 477 480 495 500 504 512 525 528 530 550 560 576 583 600 616 630 636 640 660 672 693 700 704 720 742 750 768 770 792 795 800 825 840 848 875 880 896 900 924 954 960 990 1000 1008 1024 1050 1056 1060 1100 1113 1120 1125 1152 1155 1166 1200 1232 1260 1272 1280 1320 1325 1344 1375 1386 1400 1408 1440 1484 1500 1536 1540 1575 1584 1590 1600 1650 1680 1696 1749 1750 1760 1792 1800 1848 1855 1908 1920 1925 1980 2000 2016 2100 2112 2120 2200 2226 2240 2250 2304 2310 2332 2385 2400 2464 2475 2520 2544 2560 2625 2640 2650 2688 2750 2772 2800 2809 2816 2880 2915 2968 3000 3072 3080 3150 3168 3180 3200 3300 3339 3360 3392 3465 3498 3500 3520 3584 3600 3696 3710 3816 3840 3850 3960 3975 4000 4032 4081 4125 4200 4224 4240 4400 4452 4480 4500 4608 4620 4664 4770 4800 4928 4950 5040 5088 5120 5247 5250 5280 5300 5376 5500 5544 5565 5600 5618 5632 5760 5775 5830 5936 6000 6160 6300 6336 6360 6400 6600 6625 6678 6720 6784 6930 6996 7000 7040 7168 7200 7392 7420 7632 7680 7700 7875 7920 7950 8000 8064 8162 8250 8400 8427 8448 8480 8745 8800 8904 8960 9000 9216 9240 9275 9328 9540 9600 9625 9856 9900 10080 10176 10494 10500 10560 10600 10752 11000 11088 11130 11200 11236 11264 11520 11550 11660 11872 11925 12000 12243 12320 12375 12600 12672 12720 12800 13200 13250 13356 13440 13568 13860 13992 14000 14045 14080 14400 14575 14784 14840 15264 15360 15400 15750 15840 15900 16000 16128 16324 16500 16695 16800 16854 16896 16960 17325 17490 17600 17808 17920 18000 18480 18550 18656 19080 19200 19250 19663 19712 19800 19875 20160 20352 20405 20988 21000 21120 21200 21504 22000 22176 22260 22400 22472 23040 23100 23320 23744 23850 24000 24486 24640 24750 25200 25281 25344 25440 25600 26235 26400 26500 26712 26880 27136 27720 27825 27984 28000 28090 28160 28800 28875 29150 29568 29680 30528 30800 30899 31500 31680 31800 32000 32256 32648 33000 33390 33600 33708 33792 33920 34650 34980 35200 35616 35840 36000 36729 36960 37100 37312 38160 38400 38500 39326 39424 39600 39750 40320 40704 40810 41976 42000 42135 42240 42400 43725 44000 44352 44520 44800 44944 46080 46200 46375 46640 47488 47700 48000 48972 49280 49500 50400 50562 50688 50880 52470 52800 53000 53424 53760 54272 55440 55650 55968 56000 56180 56320 57600 57750 58300 58989 59136 59360 59625 61056 61215 61600 61798 63000 63360 63600 64000 64512 65296 66000 66780 67200 67416 67840 69300 69960 70225 70400 71232 72000 72875 73458 73920 74200 74624 76320 76800 77000 78652 78848 79200 79500 80640 81408 81620 83475 83952 84000 84270 84480 84800 86625 87450 88000 88704 89040 89600 89888 92400 92697 92750 93280 94976 95400 96000 97944 98315 98560 99000 100800 101124 101376 101760 102025 104940 105600 106000 106848 107520 110880 111300 111936 112000 112360 115200 115500 116600 117978 118272 118720 119250 122112 122430 123200 123596 126000 126405 126720 127200 128000 130592 131175 132000 133560 134400 134832 135680 138600 139125 139920 140450 140800 142464 144000 145750 146916 147840 148400 148877 149248 152640 154000 154495 157304 158400 159000 161280 162816 163240 166950 167904 168000 168540 168960 169600 173250 174900 176000 176967 177408 178080 179200 179776 183645 184800 185394 185500 186560 189952 190800 192000 195888 196630 197120 198000 201600 202248 203520 204050 209880 210675 211200 212000 213696 216293 218625 221760 222600 223872 224000 224720 230400 231000 233200 235956 236544 237440 238500 244224 244860 246400 247192 252000 252810 253440 254400 261184 262350 264000 267120 268800 269664 271360 277200 278091 278250 279840 280900 281600 284928 288000 291500 293832 294945 295680 296800 297754 298496 305280 306075 308000 308990 314608 316800 318000 322560 326480 333900 335808 336000 337080 339200 346500 349800 351125 352000 353934 354816 356160 359552 367290 369600 370788 371000 373120 379904 381600 384000 391776 393260 394240 396000 403200 404496 407040 408100 417375 419760 421350 422400 424000 427392 432586 437250 443520 445200 446631 447744 448000 449440 462000 463485 466400 471912 474880 477000 488448 489720 491575 492800 494384 504000 505620 506880 508800 510125 522368 524700 528000 534240 537600 539328 554400 556182 556500 559680 561800 569856 576000 583000 587664 589890 591360 593600 595508 596992 610560 612150 616000 617980 629216 632025 633600 636000 648879 652960 655875 667800 671616 672000 674160 678400 693000 699600 702250 704000 707868 709632 712320 719104 734580 739200 741576 742000 744385 746240 763200 772475 783552 786520 792000 806400 808992 814080 816200 834750 839520 842700 844800 848000 854784 865172 874500 884835 887040 890400 893262 895488 896000 898880 918225 924000 926970 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3430126080 3439058700 3460688000 3559564800 3573048000 3668329280 3684705750 3751700400 3773138688 3775296000 3811251200 3893274000 3930352800 3955072000 4001813760 4126870440 4152825600 4168556000 4192376320 4287657600 4298823375 4401995136 4449456000 4530355200 4585411600 4689625500 4701312000 4716423360 4764064000 4802176512 4912941000 4983390720 5002267200 5030851584 5158588050 5191032000 5240470400 5335751680 5359572000 5502493920 5537100800 5662944000 5716876800 5731764500 5869326848 5895529200 5932608000 6002720640 6229238400 6252834000 6288564480 6550588000 6602992704 6669689600 6860252160 6878117400 6921376000 7119129600 7146096000 7336658560 7369411500 7503400800 7546277376 7550592000 7786548000 7860705600 8003627520 8253740880 8305651200 8337112000 8384752640 8575315200 8597646750 8803990272 8898912000 9170823200 9379251000 9432846720 9528128000 9604353024 9825882000 9966781440 10004534400 10317176100 10382064000 10480940800 10719144000 11004987840 11325888000 11433753600 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55024939200 57168768000 58693268480 58955292000 60027206400 62292384000 62885644800 66029927040 66696896000 68781174000 73366585600 75034008000 75462773760 78607056000 80036275200 82537408800 83056512000 85753152000 88039902720 91708232000 94328467200 100045344000 103171761000 104809408000 105647883264 110049878400 117910584000 120054412800 124584768000 125771289600 132059854080 133393792000 137562348000 146733171200 150068016000 157214112000 165074817600 171506304000 176079805440 183416464000 188656934400 200090688000 206343522000 209618816000 220099756800 235821168000 240108825600 249169536000 264119708160 275124696000 293466342400 300136032000 314428224000 330149635200 366832928000 377313868800 400181376000 412687044000 440199513600 471642336000 528239416320 550249392000 600272064000 628856448000 660299270400 733665856000 825374088000 880399027200 943284672000 1100498784000 1200544128000 1320598540800 1467331712000 1650748176000 1886569344000 2200997568000 2641197081600 3301496352000 4401995136000 6602992704000 13205985408000
- Sum of all divisors σ(n): 60472386224640
- Sum of proper divisors (its aliquot sum) s(n): 47266400816640
- 13205985408000 is an abundant number, because the sum of its proper divisors (47266400816640) is greater than itself. Its abundance is 34060415408640
Bases of 13205985408000
- Binary: 110000000010110000100001000110110100000000002
- Hexadecimal: 0xC02C211B400
- Base-36: 4OIQUQRK0
Squares and roots of 13205985408000
- 13205985408000 squared (132059854080002) is 174398050596308926464000000
- 13205985408000 cubed (132059854080003) is 2303098111358501381543729037312000000000
-
The
square root of 13205985408000 is 3634004.0462277969 -
The
cube root of 13205985408000 is 23636.8865663613
Scales and comparisons
How big is 13205985408000?- 13,205,985,408,000 seconds is equal to 419,909 years, 25 weeks, 2 days, 8 hours.
-
To count from 1 to 13,205,985,408,000 would take you about one million, forty-nine thousand, seven hundred seventy-three 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 13205985408000 cubic inches would be around 1969.7 feet tall.
Recreational maths with 13205985408000
- 13205985408000 backwards is 00080458950231
- 13205985408000 is a
Harshad number . - The number of decimal digits it has is: 14
- The sum of 13205985408000's digits is 45
- More coming soon!
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Numbermatics. (2024). Number 13205985408000 - Facts about the integer. Retrieved 2 May 2024, from https://numbermatics.com/n/13205985408000/
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The information we have on file for 13205985408000 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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