13972617216000
13,972,617,216,000 is an even composite number composed of five prime numbers multiplied together.
What does the number 13972617216000 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 1080 divisors.
13972617216000 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one thousand and eighty divisors.
Prime factorization of 13972617216000:
214 × 32 × 53 × 47 × 1272
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 5 × 5 × 47 × 127 × 127)See below for interesting mathematical facts about the number 13972617216000 from the Numbermatics database.
Names of 13972617216000
- Cardinal: 13972617216000 can be written as Thirteen trillion, nine hundred seventy-two billion, six hundred seventeen million, two hundred sixteen thousand.
Scientific notation
- Scientific notation: 1.3972617216 × 1013
Factors of 13972617216000
Divisors of 13972617216000
- Number of divisors d(n): 1080
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 25 30 32 36 40 45 47 48 50 60 64 72 75 80 90 94 96 100 120 125 127 128 141 144 150 160 180 188 192 200 225 235 240 250 254 256 282 288 300 320 360 375 376 381 384 400 423 450 470 480 500 508 512 564 576 600 635 640 705 720 750 752 762 768 800 846 900 940 960 1000 1016 1024 1125 1128 1143 1152 1175 1200 1270 1280 1410 1440 1500 1504 1524 1536 1600 1692 1800 1880 1905 1920 2000 2032 2048 2115 2250 2256 2286 2304 2350 2400 2540 2560 2820 2880 3000 3008 3048 3072 3175 3200 3384 3525 3600 3760 3810 3840 4000 4064 4096 4230 4500 4512 4572 4608 4700 4800 5080 5120 5640 5715 5760 5875 5969 6000 6016 6096 6144 6350 6400 6768 7050 7200 7520 7620 7680 8000 8128 8192 8460 9000 9024 9144 9216 9400 9525 9600 10160 10240 10575 11280 11430 11520 11750 11938 12000 12032 12192 12288 12700 12800 13536 14100 14400 15040 15240 15360 15875 16000 16129 16256 16384 16920 17625 17907 18000 18048 18288 18432 18800 19050 19200 20320 20480 21150 22560 22860 23040 23500 23876 24000 24064 24384 24576 25400 25600 27072 28200 28575 28800 29845 30080 30480 30720 31750 32000 32258 32512 33840 35250 35814 36000 36096 36576 36864 37600 38100 38400 40640 40960 42300 45120 45720 46080 47000 47625 47752 48000 48128 48387 48768 49152 50800 51200 52875 53721 54144 56400 57150 57600 59690 60160 60960 61440 63500 64000 64516 65024 67680 70500 71628 72000 72192 73152 73728 75200 76200 76800 80645 81280 81920 84600 89535 90240 91440 92160 94000 95250 95504 96000 96256 96774 97536 101600 102400 105750 107442 108288 112800 114300 115200 119380 120320 121920 122880 127000 128000 129032 130048 135360 141000 142875 143256 144000 144384 145161 146304 147456 149225 150400 152400 153600 161290 162560 169200 179070 180480 182880 184320 188000 190500 191008 192000 192512 193548 195072 203200 204800 211500 214884 216576 225600 228600 230400 238760 240640 241935 243840 245760 254000 256000 258064 260096 268605 270720 282000 285750 286512 288000 288768 290322 292608 298450 300800 304800 307200 322580 325120 338400 358140 360960 365760 368640 376000 381000 382016 384000 385024 387096 390144 403225 406400 409600 423000 429768 433152 447675 451200 457200 460800 477520 481280 483870 487680 508000 512000 516128 520192 537210 541440 564000 571500 573024 576000 577536 580644 585216 596900 601600 609600 614400 645160 650240 676800 716280 721920 725805 731520 737280 746125 752000 758063 762000 764032 768000 770048 774192 780288 806450 812800 846000 859536 866304 895350 902400 914400 921600 955040 962560 967740 975360 1016000 1024000 1032256 1040384 1074420 1082880 1128000 1143000 1146048 1152000 1155072 1161288 1170432 1193800 1203200 1209675 1219200 1228800 1290320 1300480 1343025 1353600 1432560 1443840 1451610 1463040 1492250 1504000 1516126 1524000 1528064 1536000 1548384 1560576 1612900 1625600 1692000 1719072 1732608 1790700 1804800 1828800 1843200 1910080 1925120 1935480 1950720 2016125 2032000 2048000 2064512 2080768 2148840 2165760 2238375 2256000 2274189 2286000 2292096 2304000 2310144 2322576 2340864 2387600 2406400 2419350 2438400 2580640 2600960 2686050 2707200 2865120 2887680 2903220 2926080 2984500 3008000 3032252 3048000 3056128 3072000 3096768 3121152 3225800 3251200 3384000 3438144 3465216 3581400 3609600 3629025 3657600 3686400 3790315 3820160 3850240 3870960 3901440 4032250 4064000 4129024 4297680 4331520 4476750 4512000 4548378 4572000 4584192 4608000 4645152 4681728 4775200 4812800 4838700 4876800 5161280 5201920 5372100 5414400 5730240 5775360 5806440 5852160 5969000 6016000 6048375 6064504 6096000 6112256 6144000 6193536 6242304 6451600 6502400 6715125 6768000 6822567 6876288 6930432 7162800 7219200 7258050 7315200 7580630 7640320 7741920 7802880 8064500 8128000 8258048 8595360 8663040 8953500 9024000 9096756 9144000 9168384 9216000 9290304 9363456 9550400 9625600 9677400 9753600 10322560 10403840 10744200 10828800 11370945 11460480 11550720 11612880 11704320 11938000 12032000 12096750 12129008 12192000 12224512 12387072 12903200 13004800 13430250 13536000 13645134 13752576 14325600 14438400 14516100 14630400 15161260 15280640 15483840 15605760 16129000 16256000 16516096 17190720 17326080 17907000 18048000 18145125 18193512 18288000 18336768 18432000 18580608 18726912 18951575 19100800 19251200 19354800 19507200 20645120 21488400 21657600 22741890 22920960 23225760 23408640 23876000 24064000 24193500 24258016 24384000 24449024 24774144 25806400 26009600 26860500 27072000 27290268 27505152 28651200 28876800 29032200 29260800 30322520 30561280 30967680 31211520 32258000 32512000 33032192 34112835 34381440 34652160 35814000 36096000 36290250 36387024 36576000 36673536 37161216 37903150 38201600 38709600 39014400 41290240 42976800 43315200 45483780 45841920 46451520 46817280 47752000 48128000 48387000 48516032 48768000 48898048 49548288 51612800 52019200 53721000 54144000 54580536 55010304 56854725 57302400 57753600 58064400 58521600 60645040 61122560 61935360 64516000 65024000 66064384 68225670 68762880 71628000 72192000 72580500 72774048 73152000 73347072 74322432 75806300 76403200 77419200 78028800 82580480 85953600 86630400 90967560 91683840 92903040 93634560 94757875 95504000 96256000 96774000 97032064 97536000 97796096 99096576 103225600 107442000 108288000 109161072 110020608 113709450 114604800 116128800 117043200 121290080 122245120 123870720 129032000 130048000 132128768 136451340 137525760 143256000 144384000 145161000 145548096 146304000 146694144 148644864 151612600 152806400 154838400 156057600 165160960 170564175 171907200 173260800 181935120 183367680 185806080 189515750 191008000 193548000 194064128 195072000 198193152 206451200 214884000 216576000 218322144 220041216 227418900 229209600 232257600 234086400 242580160 244490240 247741440 258064000 260096000 264257536 272902680 275051520 284273625 286512000 288768000 290322000 291096192 292608000 293388288 297289728 303225200 305612800 309676800 330321920 341128350 343814400 363870240 366735360 371612160 379031500 382016000 387096000 388128256 390144000 396386304 412902400 429768000 433152000 436644288 440082432 454837800 458419200 464515200 468172800 485160320 488980480 495482880 516128000 545805360 550103040 568547250 573024000 580644000 582192384 585216000 594579456 606450400 611225600 619353600 660643840 682256700 687628800 727740480 733470720 743224320 758063000 764032000 774192000 776256512 780288000 792772608 825804800 852820875 859536000 866304000 873288576 880164864 909675600 916838400 929030400 970320640 990965760 1032256000 1091610720 1100206080 1137094500 1146048000 1161288000 1164384768 1170432000 1189158912 1212900800 1222451200 1238707200 1321287680 1364513400 1375257600 1455480960 1466941440 1486448640 1516126000 1528064000 1548384000 1552513024 1651609600 1705641750 1719072000 1746577152 1819351200 1833676800 1858060800 1940641280 1981931520 2064512000 2183221440 2200412160 2274189000 2292096000 2322576000 2328769536 2340864000 2378317824 2425801600 2444902400 2477414400 2729026800 2750515200 2910961920 2972897280 3032252000 3056128000 3096768000 3105026048 3303219200 3411283500 3438144000 3493154304 3638702400 3667353600 3716121600 3881282560 3963863040 4129024000 4366442880 4400824320 4548378000 4584192000 4645152000 4657539072 4851603200 4954828800 5458053600 5501030400 5821923840 5945794560 6064504000 6112256000 6193536000 6210052096 6606438400 6822567000 6876288000 6986308608 7277404800 7334707200 7432243200 7762565120 8258048000 8732885760 9096756000 9168384000 9290304000 9315078144 9703206400 9909657600 10916107200 11002060800 11643847680 11891589120 12129008000 12224512000 12387072000 12420104192 13645134000 13752576000 13972617216 14554809600 14864486400 15525130240 16516096000 17465771520 18193512000 18336768000 18580608000 18630156288 19406412800 19819315200 21832214400 22004121600 23287695360 24258016000 24774144000 27290268000 27505152000 27945234432 29109619200 29728972800 31050260480 33032192000 34931543040 36387024000 36673536000 37161216000 37260312576 38812825600 43664428800 46575390720 48516032000 49548288000 54580536000 55010304000 55890468864 58219238400 59457945600 62100520960 69863086080 72774048000 74322432000 77625651200 87328857600 93150781440 97032064000 99096576000 109161072000 110020608000 111780937728 116438476800 139726172160 145548096000 148644864000 155251302400 174657715200 186301562880 194064128000 218322144000 232876953600 279452344320 291096192000 297289728000 310502604800 349315430400 388128256000 436644288000 465753907200 558904688640 582192384000 698630860800 776256512000 873288576000 931507814400 1164384768000 1397261721600 1552513024000 1746577152000 2328769536000 2794523443200 3493154304000 4657539072000 6986308608000 13972617216000
- Sum of all divisors σ(n): 51854478975936
- Sum of proper divisors (its aliquot sum) s(n): 37881861759936
- 13972617216000 is an abundant number, because the sum of its proper divisors (37881861759936) is greater than itself. Its abundance is 23909244543936
Bases of 13972617216000
- Binary: 110010110101010000001110001011000000000000002
- Hexadecimal: 0xCB540E2C000
- Base-36: 4YAXJJ0G0
Squares and roots of 13972617216000
- 13972617216000 squared (139726172160002) is 195234031864859590656000000
- 13972617216000 cubed (139726172160003) is 2727930394784029701822738333696000000000
-
The
square root of 13972617216000 is 3737996.4173337567 -
The
cube root of 13972617216000 is 24085.6989561357
Scales and comparisons
How big is 13972617216000?- 13,972,617,216,000 seconds is equal to 444,286 years, 2 days, 16 hours.
-
To count from 1 to 13,972,617,216,000 would take you about one million, one hundred ten thousand, seven hundred fifteen 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 13972617216000 cubic inches would be around 2007.1 feet tall.
Recreational maths with 13972617216000
- 13972617216000 backwards is 00061271627931
- 13972617216000 is a
Harshad number . - The number of decimal digits it has is: 14
- The sum of 13972617216000's digits is 45
- More coming soon!
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The information we have on file for 13972617216000 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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