164097231667200
164,097,231,667,200 is an even composite number composed of six prime numbers multiplied together.
What does the number 164097231667200 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 2160 divisors.
164097231667200 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 164097231667200:
214 × 32 × 52 × 13 × 23 × 533
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 5 × 13 × 23 × 53 × 53 × 53)See below for interesting mathematical facts about the number 164097231667200 from the Numbermatics database.
Names of 164097231667200
- Cardinal: 164097231667200 can be written as One hundred sixty-four trillion, ninety-seven billion, two hundred thirty-one million, six hundred sixty-seven thousand, two hundred.
Scientific notation
- Scientific notation: 1.640972316672 × 1014
Factors of 164097231667200
Divisors of 164097231667200
- Number of divisors d(n): 2160
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 13 15 16 18 20 23 24 25 26 30 32 36 39 40 45 46 48 50 52 53 60 64 65 69 72 75 78 80 90 92 96 100 104 106 115 117 120 128 130 138 144 150 156 159 160 180 184 192 195 200 207 208 212 225 230 234 240 256 260 265 276 288 299 300 312 318 320 325 345 360 368 384 390 400 414 416 424 450 460 468 477 480 512 520 530 552 575 576 585 598 600 624 636 640 650 689 690 720 736 768 780 795 800 828 832 848 897 900 920 936 954 960 975 1024 1035 1040 1060 1104 1150 1152 1170 1196 1200 1219 1248 1272 1280 1300 1325 1378 1380 1440 1472 1495 1536 1560 1590 1600 1656 1664 1696 1725 1794 1800 1840 1872 1908 1920 1950 2048 2067 2070 2080 2120 2208 2300 2304 2340 2385 2392 2400 2438 2496 2544 2560 2600 2650 2691 2756 2760 2809 2880 2925 2944 2990 3072 3120 3180 3200 3312 3328 3392 3445 3450 3588 3600 3657 3680 3744 3816 3840 3900 3975 4096 4134 4140 4160 4240 4416 4485 4600 4608 4680 4770 4784 4800 4876 4992 5088 5120 5175 5200 5300 5382 5512 5520 5618 5760 5850 5888 5980 6095 6144 6201 6240 6360 6400 6624 6656 6784 6890 6900 7176 7200 7314 7360 7475 7488 7632 7680 7800 7950 8192 8268 8280 8320 8427 8480 8832 8970 9200 9216 9360 9540 9568 9600 9752 9984 10176 10240 10335 10350 10400 10600 10764 10971 11024 11040 11236 11520 11700 11776 11925 11960 12190 12288 12402 12480 12720 12800 13248 13312 13455 13568 13780 13800 14045 14352 14400 14628 14720 14950 14976 15264 15360 15600 15847 15900 16384 16536 16560 16640 16854 16960 17225 17664 17940 18285 18400 18432 18720 19080 19136 19200 19504 19968 20352 20480 20670 20700 20800 21200 21528 21942 22048 22080 22425 22472 23040 23400 23552 23850 23920 24380 24576 24804 24960 25281 25440 25600 26496 26624 26910 27136 27560 27600 28090 28704 28800 29256 29440 29900 29952 30475 30528 30720 31005 31200 31694 31800 33072 33120 33280 33708 33920 34450 35328 35880 36517 36570 36800 36864 37440 38160 38272 38400 39008 39936 40704 40960 41340 41400 41600 42135 42400 43056 43884 44096 44160 44850 44944 46080 46800 47104 47541 47700 47840 48760 49152 49608 49920 50562 50880 51200 51675 52992 53248 53820 54272 54855 55120 55200 56180 57408 57600 58512 58880 59800 59904 60950 61056 61440 62010 62400 63388 63600 64607 66144 66240 66560 67275 67416 67840 68900 70225 70656 71760 73034 73140 73600 73728 74880 76320 76544 76800 78016 79235 79872 81408 81920 82680 82800 83200 84270 84800 86112 87768 88192 88320 89700 89888 91425 92160 93600 94208 95082 95400 95680 97520 99216 99840 101124 101760 102400 103350 105984 106496 107640 108544 109551 109710 110240 110400 112360 114816 115200 117024 117760 119600 119808 121900 122112 122880 124020 124800 126405 126776 127200 129214 132288 132480 133120 134550 134832 135680 137800 140450 141312 142623 143520 146068 146280 147200 147456 148877 149760 152640 153088 153600 155025 156032 158470 159744 162816 165360 165600 166400 168540 169600 172224 175536 176384 176640 179400 179776 182585 182850 184320 187200 188416 190164 190800 191360 193821 195040 198432 199680 202248 203520 204800 206700 210675 211968 212992 215280 217088 219102 219420 220480 220800 224720 229632 230400 234048 235520 237705 239200 239616 243800 244224 245760 248040 249600 252810 253552 254400 258428 264576 264960 266240 269100 269664 271360 274275 275600 280900 282624 285246 287040 292136 292560 294400 297754 299520 305280 306176 307200 310050 312064 316940 319488 323035 325632 328653 330720 331200 332800 337080 339200 344448 351072 352768 353280 358800 359552 365170 365700 368640 374400 376832 380328 381600 382720 387642 390080 396175 396864 399360 404496 407040 409600 413400 421350 423936 430560 434176 438204 438840 440960 441600 446631 449440 459264 460800 468096 471040 475410 478400 479232 487600 488448 496080 499200 505620 507104 508800 516856 529152 529920 532480 538200 539328 542720 547755 548550 551200 561800 565248 570492 574080 581463 584272 585120 588800 595508 599040 610560 612352 614400 620100 624128 632025 633880 638976 646070 651264 657306 661440 662400 665600 674160 678400 688896 702144 705536 706560 713115 717600 719104 730340 731400 737280 744385 748800 760656 763200 765440 775284 780160 792350 793728 798720 808992 814080 826800 839891 842700 847872 861120 868352 876408 877680 881920 883200 893262 898880 912925 918528 921600 936192 942080 950820 956800 958464 969105 975200 976896 992160 998400 1011240 1014208 1017600 1033712 1058304 1059840 1064960 1076400 1078656 1085440 1095510 1097100 1102400 1123600 1130496 1140984 1148160 1162926 1168544 1170240 1177600 1188525 1191016 1198080 1221120 1224704 1228800 1240200 1248256 1264050 1267760 1292140 1302528 1314612 1322880 1324800 1331200 1339893 1348320 1356800 1377792 1404288 1411072 1413120 1426230 1435200 1438208 1460680 1462800 1488770 1497600 1521312 1526400 1530880 1550568 1560320 1584700 1587456 1597440 1615175 1617984 1628160 1643265 1653600 1679782 1685400 1695744 1722240 1752816 1755360 1763840 1766400 1786524 1797760 1825850 1837056 1843200 1872384 1884160 1901640 1913600 1916928 1935401 1938210 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12699648 12921400 12943872 13025280 13146120 13228800 13398930 13438256 13483200 13696684 13777920 14022528 14042880 14110720 14131200 14262300 14292192 14382080 14536575 14606800 14696448 14887700 14979072 15118038 15213120 15308800 15483208 15505680 15603200 15874560 15974400 16179840 16227328 16281600 16432650 16539392 16797820 16932864 16957440 17120855 17222400 17258496 17418609 17528160 17553600 17638400 17865240 17977600 18255744 18370560 18606816 18696704 18723840 19016400 19056256 19354010 19382100 19537920 19843200 19972096 20157384 20224800 20284160 20545026 20674240 20997275 21033792 21166080 21196800 21438288 21573120 21708800 21910200 22044672 22331550 22468608 22819680 22963200 23011328 23224812 23258520 23370880 23404800 23820320 23961600 24340992 24422400 24494080 24809088 24965120 25196730 25355200 25399296 25842800 25887744 26292240 26457600 26797860 26876512 26966400 27393368 27555840 28045056 28085760 28221440 28262400 28524600 28584384 28764160 29031015 29073150 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68889600 69033984 69674436 70112640 70214400 70553600 71460960 71910400 73022976 73482240 74427264 74786816 74895360 75590190 76065600 76225024 77416040 77528400 79372800 80629536 80899200 81136640 82180104 82696960 83989100 84135168 84664320 84787200 85604275 85753152 86292480 87093045 87640800 89028446 89326200 89874432 91278720 91852800 92899248 93034080 93483520 93619200 95281280 96770050 97363968 97689600 99236352 99860480 100786920 101420800 101597184 102725130 103371200 103550976 105168960 105830400 107191440 107506048 107865600 109573472 110223360 112180224 112343040 114098400 114337536 115056640 116124060 116292600 116854400 119101600 120944304 121704960 122470400 123270156 123865664 124045440 124825600 125983650 126996480 129438720 129818624 131461200 132315136 133542669 133989300 134382560 136966840 137779200 138067968 139348872 140225280 140428800 141107200 142921920 143820800 145155075 146045952 148854528 149573632 149790720 151180380 152131200 152450048 154087695 154832080 155056800 158745600 161259072 161798400 162273280 164360208 165393920 167978200 168270336 169328640 171208550 171506304 172584960 174186090 175281600 178056892 178652400 179748864 182557440 183705600 185798496 186068160 186967040 187238400 188975475 190562560 193540100 194727936 195379200 198472704 201573840 202841600 205450260 206742400 207101952 210337920 211660800 214382880 215012096 215731200 219146944 220446720 222571115 224360448 224686080 228196800 228675072 230113280 232248120 232585200 233708800 238203200 241888608 243409920 246540312 247731328 248090880 249651200 251967300 253992960 256812825 258877440 259637248 262922400 264630272 267085338 267978600 268765120 273933680 275558400 278697744 280450560 280857600 282214400 285843840 287641600 290310150 292091904 297709056 299147264 299581440 302360760 304262400 304900096 308175390 309664160 310113600 317491200 322518144 323596800 324546560 328720416 330787840 335956400 336540672 342417100 343012608 345169920 348372180 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1972322496 1981850624 1984727040 2003140035 2015738400 2054502600 2071019520 2103379200 2136682704 2143828800 2150120960 2191469440 2225711150 2229581952 2243604480 2246860800 2286750720 2322481200 2336735232 2381672448 2418886080 2434099200 2439200768 2465403120 2477313280 2480908800 2539929600 2580145152 2588774400 2629763328 2646302720 2670853380 2687651200 2692325376 2739336800 2744100864 2786977440 2804505600 2848910272 2858438400 2920919040 2972775936 2977090560 2991472640 3023607600 3049000960 3081753900 3096641600 3175563264 3205024056 3225181440 3245465600 3287204160 3307878400 3338566725 3365406720 3430126080 3440193536 3451699200 3483721800 3506351104 3561137840 3651148800 3658801152 3715969920 3721363200 3739340800 3811251200 3870217728 3894558720 3944644992 3963701248 3969454080 4006280070 4031476800 4109005200 4206758400 4273365408 4287657600 4300241920 4382938880 4451422300 4459163904 4487208960 4493721600 4573501440 4644962400 4763344896 4837772160 4868198400 4930806240 4954626560 4961817600 5160290304 5177548800 5259526656 5292605440 5341706760 5375302400 5384650752 5478673600 5488201728 5573954880 5609011200 5697820544 5716876800 5841838080 5945551872 5954181120 6047215200 6098001920 6163507800 6193283200 6410048112 6450362880 6490931200 6574408320 6615756800 6677133450 6730813440 6860252160 6880387072 6967443600 7012702208 7122275680 7302297600 7317602304 7431939840 7442726400 7478681600 7622502400 7740435456 7889289984 7927402496 7938908160 8012560140 8062953600 8218010400 8413516800 8546730816 8575315200 8600483840 8765877760 8902844600 8918327808 8974417920 9147002880 9289924800 9526689792 9675544320 9736396800 9861612480 9909253120 9923635200 10015700175 10320580608 10355097600 10519053312 10683413520 10750604800 10957347200 10976403456 11147909760 11218022400 11395641088 11433753600 11683676160 11891103744 11908362240 12094430400 12196003840 12327015600 12386566400 12820096224 12900725760 13148816640 13231513600 13354266900 13461626880 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42733654080 43002419200 43829388800 44591639040 44872089600 45582564352 45735014400 47564414976 47633448960 48377721600 49308062400 49546265600 51280384896 51602903040 52595266560 53417067600 54882017280 55739548800 56101617664 56978205440 58418380800 59455518720 59541811200 60980019200 61923483648 63114319872 64100481120 64503628800 65744083200 67308134400 68373846528 68602521600 68803870720 70127022080 71222756800 71346622464 74319398400 77404354560 78892899840 79274024960 79389081600 80125601400 84152426496 85467308160 86004838400 87658777600 89183278080 91165128704 91470028800 95128829952 96755443200 98616124800 99092531200 102560769792 103205806080 105190533120 106834135200 109764034560 111479097600 113956410880 118911037440 119083622400 123846967296 126228639744 128200962240 129007257600 131488166400 134616268800 136747693056 137205043200 140254044160 142445513600 142693244928 148638796800 154808709120 157785799680 158548049920 160251202800 168304852992 170934616320 172009676800 175317555200 178366556160 182330257408 182940057600 193510886400 197232249600 198185062400 205121539584 206411612160 210381066240 213668270400 222958195200 227912821760 237822074880 238167244800 252457279488 256401924480 258014515200 262976332800 273495386112 274410086400 280508088320 284891027200 285386489856 297277593600 309617418240 315571599360 320502405600 341869232640 344019353600 350635110400 356733112320 364660514816 387021772800 394464499200 396370124800 410243079168 420762132480 427336540800 445916390400 455825643520 475644149760 504914558976 512803848960 516029030400 525952665600 546990772224 548820172800 569782054400 594555187200 619234836480 631143198720 641004811200 683738465280 701270220800 713466224640 729321029632 774043545600 788928998400 792740249600 820486158336 841524264960 854673081600 891832780800 911651287040 1025607697920 1032058060800 1051905331200 1093981544448 1139564108800 1189110374400 1262286397440 1282009622400 1367476930560 1402540441600 1426932449280 1548087091200 1577857996800 1640972316672 1709346163200 1783665561600 1823302574080 2051215395840 2103810662400 2187963088896 2279128217600 2378220748800 2524572794880 2564019244800 2734953861120 3096174182400 3155715993600 3281944633344 3418692326400 3567331123200 3646605148160 4102430791680 4207621324800 4558256435200 5128038489600 5469907722240 6311431987200 6563889266688 6837384652800 7134662246400 8204861583360 9116512870400 10256076979200 10939815444480 12622863974400 13674769305600 16409723166720 18233025740800 20512153958400 27349538611200 32819446333440 41024307916800 54699077222400 82048615833600 164097231667200
- Sum of all divisors σ(n): 673257320648640
- Sum of proper divisors (its aliquot sum) s(n): 509160088981440
- 164097231667200 is an abundant number, because the sum of its proper divisors (509160088981440) is greater than itself. Its abundance is 345062857314240
Bases of 164097231667200
- Binary: 1001010100111110110111010011001111000000000000002
- Hexadecimal: 0x953EDD33C000
- Base-36: 1M6186VB40
Squares and roots of 164097231667200
- 164097231667200 squared (1640972316672002) is 26927901440838706491555840000
- 164097231667200 cubed (1640972316672003) is 4418794081048837894213623197045096448000000
-
The
square root of 164097231667200 is 12810044.1711650627 -
The
cube root of 164097231667200 is 54747.8520363797
Scales and comparisons
How big is 164097231667200?- 164,097,231,667,200 seconds is equal to 5,217,784 years, 19 weeks, 5 days, 16 hours.
-
To count from 1 to 164,097,231,667,200 would take you about thirteen million, forty-four thousand, four hundred sixty 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 164097231667200 cubic inches would be around 4562.3 feet tall.
Recreational maths with 164097231667200
- 164097231667200 backwards is 002766132790461
- The number of decimal digits it has is: 15
- The sum of 164097231667200's digits is 54
- More coming soon!
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MLA style:
"Number 164097231667200 - Facts about the integer". Numbermatics.com. 2024. Web. 14 June 2024.
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Numbermatics. (2024). Number 164097231667200 - Facts about the integer. Retrieved 14 June 2024, from https://numbermatics.com/n/164097231667200/
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Numbermatics. 2024. "Number 164097231667200 - Facts about the integer". https://numbermatics.com/n/164097231667200/
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