12985793327923200
12,985,793,327,923,200 is an even composite number composed of six prime numbers multiplied together.
12985793327923200 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of two thousand, five hundred twenty divisors.
Prime factorization of 12985793327923200:
220 × 34 × 52 × 19 × 109 × 2953
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 5 × 5 × 19 × 109 × 2953)See below for interesting mathematical facts about the number 12985793327923200 from the Numbermatics database.
Names of 12985793327923200
- Cardinal: 12985793327923200 can be written as Twelve quadrillion, nine hundred eighty-five trillion, seven hundred ninety-three billion, three hundred twenty-seven million, nine hundred twenty-three thousand, two hundred.
Scientific notation
- Scientific notation: 1.29857933279232 × 1016
Factors of 12985793327923200
Divisors of 12985793327923200
- Number of divisors d(n): 2520
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Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 15 16 18 19 20 24 25 27 30 32 36 38 40 45 48 50 54 57 60 64 72 75 76 80 81 90 95 96 100 108 109 114 120 128 135 144 150 152 160 162 171 180 190 192 200 216 218 225 228 240 256 270 285 288 300 304 320 324 327 342 360 380 384 400 405 432 436 450 456 475 480 512 513 540 545 570 576 600 608 640 648 654 675 684 720 760 768 800 810 855 864 872 900 912 950 960 981 1024 1026 1080 1090 1140 1152 1200 1216 1280 1296 1308 1350 1368 1425 1440 1520 1536 1539 1600 1620 1635 1710 1728 1744 1800 1824 1900 1920 1962 2025 2048 2052 2071 2160 2180 2280 2304 2400 2432 2560 2565 2592 2616 2700 2725 2736 2850 2880 2943 2953 3040 3072 3078 3200 3240 3270 3420 3456 3488 3600 3648 3800 3840 3924 4050 4096 4104 4142 4275 4320 4360 4560 4608 4800 4864 4905 5120 5130 5184 5232 5400 5450 5472 5700 5760 5886 5906 6080 6144 6156 6213 6400 6480 6540 6840 6912 6976 7200 7296 7600 7680 7695 7848 8100 8175 8192 8208 8284 8550 8640 8720 8829 8859 9120 9216 9600 9728 9810 10240 10260 10355 10368 10464 10800 10900 10944 11400 11520 11772 11812 12160 12288 12312 12426 12800 12825 12960 13080 13680 13824 13952 14400 14592 14715 14765 15200 15360 15390 15696 16200 16350 16384 16416 16568 17100 17280 17440 17658 17718 18240 18432 18639 19200 19456 19620 20480 20520 20710 20736 20928 21600 21800 21888 22800 23040 23544 23624 24320 24525 24576 24624 24852 25600 25650 25920 26160 26577 27360 27648 27904 28800 29184 29430 29530 30400 30720 30780 31065 31392 32400 32700 32768 32832 33136 34200 34560 34880 35316 35436 36480 36864 37278 38400 38475 38912 39240 40960 41040 41420 41472 41856 43200 43600 43776 44145 44295 45600 46080 47088 47248 48640 49050 49152 49248 49704 51200 51300 51775 51840 52320 53154 54720 55296 55808 55917 56107 57600 58368 58860 59060 60800 61440 61560 62130 62784 64800 65400 65536 65664 66272 68400 69120 69760 70632 70872 72960 73575 73728 73825 74556 76800 76950 77824 78480 79731 81920 82080 82840 82944 83712 86400 87200 87552 88290 88590 91200 92160 93195 94176 94496 97280 98100 98304 98496 99408 102400 102600 103550 103680 104640 106308 109440 110592 111616 111834 112214 115200 116736 117720 118120 121600 122880 123120 124260 125568 129600 130800 131072 131328 132544 132885 136800 138240 139520 141264 141744 145920 147150 147456 147650 149112 153600 153900 155325 155648 156960 159462 163840 164160 165680 165888 167424 167751 168321 172800 174400 175104 176580 177180 182400 184320 186390 188352 188992 194560 196200 196608 196992 198816 204800 205200 207100 207360 209280 212616 218880 220725 221184 221475 223232 223668 224428 230400 233472 235440 236240 239193 243200 245760 246240 248520 251136 259200 261600 262144 262656 265088 265770 273600 276480 279040 279585 280535 282528 283488 291840 294300 294912 295300 298224 307200 307800 310650 311296 313920 318924 321877 327680 328320 331360 331776 334848 335502 336642 345600 348800 350208 353160 354360 364800 368640 372780 376704 377984 389120 392400 393216 393984 397632 398655 409600 410400 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533955317760 549686476800 551554252800 563619502080 569552338944 593283686400 595678593024 601194135552 620498534400 626243891200 627030097920 632835932160 634071939840 661865103360 667444147200 676343402496 696700108800 704524377600 711940423680 732915302400 735405670400 744598241280 751492669440 759403118592 783787622400 791044915200 792589924800 794238124032 801592180736 827331379200 843781242880 845429253120 854328508416 879498362880 882486804480 889925529600 901791203328 930747801600 939365836800 949253898240 992797655040 1001990225920 1012537491456 1014515103744 1045050163200 1054726553600 1056786566400 1067910635520 1099372953600 1103108505600 1127239004160 1139104677888 1186567372800 1191357186048 1202388271104 1240997068800 1252487782400 1254060195840 1265671864320 1268143879680 1323730206720 1334888294400 1352686804992 1409048755200 1423880847360 1465830604800 1470811340800 1489196482560 1502985338880 1518806237184 1567575244800 1582089830400 1585179849600 1588476248064 1603184361472 1654662758400 1687562485760 1690858506240 1708657016832 1779851059200 1803582406656 1861495603200 1878731673600 1898507796480 1985595310080 2003980451840 2029030207488 2090100326400 2109453107200 2113573132800 2135821271040 2198745907200 2206217011200 2254478008320 2278209355776 2373134745600 2382714372096 2404776542208 2481994137600 2504975564800 2531343728640 2536287759360 2647460413440 2669776588800 2705373609984 2818097510400 2847761694720 2978392965120 3005970677760 3037612474368 3135150489600 3164179660800 3170359699200 3206368722944 3309325516800 3381717012480 3417314033664 3559702118400 3607164813312 3722991206400 3757463347200 3797015592960 3971190620160 4007960903680 4058060414976 4218906214400 4227146265600 4271642542080 4397491814400 4412434022400 4508956016640 4556418711552 4746269491200 4765428744192 4809553084416 4963988275200 5009951129600 5062687457280 5072575518720 5339553177600 5410747219968 5636195020800 5695523389440 5956785930240 6011941355520 6270300979200 6328359321600 6340719398400 6412737445888 6618651033600 6763434024960 6834628067328 7119404236800 7214329626624 7445982412800 7514926694400 7594031185920 7942381240320 8015921807360 8116120829952 8437812428800 8454292531200 8543285084160 9017912033280 9112837423104 9492538982400 9619106168832 9927976550400 10019902259200 10145151037440 10679106355200 10821494439936 11272390041600 11391046778880 11913571860480 12023882711040 12656718643200 12681438796800 13237302067200 13526868049920 13669256134656 14238808473600 14428659253248 14891964825600 15029853388800 15188062371840 16031843614720 16232241659904 16908585062400 17086570168320 18035824066560 18985077964800 19238212337664 19855953100800 20039804518400 20290302074880 21358212710400 21642988879872 22544780083200 22782093557760 23827143720960 24047765422080 25313437286400 25362877593600 27053736099840 27338512269312 28477616947200 28857318506496 29783929651200 30059706777600 32063687229440 32464483319808 33817170124800 34173140336640 36071648133120 37970155929600 39711906201600 40079609036800 40580604149760 42716425420800 43285977759744 45089560166400 45564187115520 48095530844160 50725755187200 54107472199680 56955233894400 57714637012992 59567859302400 60119413555200 64928966639616 67634340249600 68346280673280 72143296266240 75940311859200 80159218073600 81161208299520 85432850841600 86571955519488 90179120332800 96191061688320 101451510374400 108214944399360 113910467788800 119135718604800 120238827110400 129857933279232 135268680499200 136692561346560 144286592532480 160318436147200 162322416599040 170865701683200 173143911038976 180358240665600 202903020748800 216429888798720 227820935577600 240477654220800 259715866558464 270537360998400 288573185064960 324644833198080 341731403366400 360716481331200 405806041497600 432859777597440 480955308441600 519431733116928 541074721996800 649289666396160 683462806732800 721432962662400 811612082995200 865719555194880 1082149443993600 1298579332792320 1442865925324800 1623224165990400 2164298887987200 2597158665584640 3246448331980800 4328597775974400 6492896663961600 12985793327923200
- Sum of all divisors σ(n): 51122247410418800
- Sum of proper divisors (its aliquot sum) s(n): 38136454082495600
- 12985793327923200 is an abundant number, because the sum of its proper divisors (38136454082495600) is greater than itself. Its abundance is 25150660754572400
Bases of 12985793327923200
- Binary: 1011100010001010000010100111100111000000000000000000002
- Hexadecimal: 0x2E22829E700000
- Base-36: 3JV2V3K7400
Squares and roots of 12985793327923200
- 12985793327923200 squared (129857933279232002) is 168630828355534697728825098240000
- 12985793327923200 cubed (129857933279232003) is 2189805085741464842021768649218362775175168000000
-
The
square root of 12985793327923200 is 113955225.1014546503 -
The
cube root of 12985793327923200 is 235047.7846267563
Scales and comparisons
How big is 12985793327923200?- 12,985,793,327,923,200 seconds is equal to 412,908,060 years, 6 weeks, 6 days.
-
To count from 1 to 12,985,793,327,923,200 would take you about one billion, two hundred thirty-eight million, seven hundred twenty-four thousand, one hundred eighty 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 12985793327923200 cubic inches would be around 19587.3 feet tall.
Recreational maths with 12985793327923200
- 12985793327923200 backwards is 00232972339758921
- 12985793327923200 is a
Harshad number . - The number of decimal digits it has is: 17
- The sum of 12985793327923200's digits is 72
- More coming soon!
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"Number 12985793327923200 - Facts about the integer". Numbermatics.com. 2024. Web. 6 June 2024.
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Numbermatics. (2024). Number 12985793327923200 - Facts about the integer. Retrieved 6 June 2024, from https://numbermatics.com/n/12985793327923200/
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The information we have on file for 12985793327923200 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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