23468080064000
23,468,080,064,000 is an even composite number composed of seven prime numbers multiplied together.
What does the number 23468080064000 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 1280 divisors.
23468080064000 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of one thousand, two hundred eighty divisors.
Prime factorization of 23468080064000:
29 × 53 × 11 × 13 × 61 × 127 × 331
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 5 × 11 × 13 × 61 × 127 × 331)See below for interesting mathematical facts about the number 23468080064000 from the Numbermatics database.
Names of 23468080064000
- Cardinal: 23468080064000 can be written as Twenty-three trillion, four hundred sixty-eight billion, eighty million, sixty-four thousand.
Scientific notation
- Scientific notation: 2.3468080064 × 1013
Factors of 23468080064000
Divisors of 23468080064000
- Number of divisors d(n): 1280
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Complete list of divisors:
1 2 4 5 8 10 11 13 16 20 22 25 26 32 40 44 50 52 55 61 64 65 80 88 100 104 110 122 125 127 128 130 143 160 176 200 208 220 244 250 254 256 260 275 286 305 320 325 331 352 400 416 440 488 500 508 512 520 550 572 610 635 640 650 662 671 704 715 793 800 832 880 976 1000 1016 1040 1100 1144 1220 1270 1280 1300 1324 1342 1375 1397 1408 1430 1525 1586 1600 1625 1651 1655 1664 1760 1952 2000 2032 2080 2200 2288 2440 2540 2560 2600 2648 2684 2750 2794 2816 2860 3050 3172 3175 3200 3250 3302 3310 3328 3355 3520 3575 3641 3904 3965 4000 4064 4160 4303 4400 4576 4880 5080 5200 5296 5368 5500 5588 5632 5720 6100 6344 6350 6400 6500 6604 6620 6656 6710 6985 7040 7150 7282 7625 7747 7808 7930 8000 8128 8255 8275 8320 8606 8723 8800 9152 9760 10160 10400 10592 10736 11000 11176 11440 12200 12688 12700 12800 13000 13208 13240 13420 13970 14080 14300 14564 15250 15494 15616 15860 15875 16000 16256 16510 16550 16640 16775 17212 17446 17600 17875 18161 18205 18304 19520 19825 20191 20320 20800 21184 21472 21515 22000 22352 22880 24400 25376 25400 26000 26416 26480 26840 27940 28160 28600 29128 30500 30988 31232 31720 31750 32000 32512 33020 33100 33280 33550 34424 34892 34925 35200 35750 36322 36410 36608 38735 39040 39650 40382 40640 41275 41375 41600 42037 42368 42944 43030 43615 44000 44704 45760 47333 48800 50752 50800 52000 52832 52960 53680 55880 57200 58256 61000 61976 63440 63500 64000 65024 66040 66200 67100 68848 69784 69850 70400 71500 72644 72820 73216 77470 78080 79300 80764 81280 82550 82750 83200 83875 84074 84736 85217 85888 86060 87230 88000 89408 90805 91025 91520 94666 97600 99125 100711 100955 101504 101600 104000 105664 105920 107360 107575 111760 114400 116512 122000 123952 126880 127000 132080 132400 134200 137696 139568 139700 140800 143000 145288 145640 154940 156160 158600 161528 162560 165100 165500 166400 167750 168148 169472 170434 171776 172120 174460 174625 176000 178816 181610 182050 183040 189332 193675 195200 198250 201422 201910 203008 203200 206375 208000 210185 211328 211840 214720 215150 218075 222101 223520 228800 233024 236665 244000 247904 253760 254000 262483 264160 264800 268400 275392 279136 279400 286000 290576 291280 309880 317200 323056 325120 330200 331000 335500 336296 340868 343552 344240 348920 349250 352000 357632 363220 364100 366080 378664 387350 390400 396500 402844 403820 406016 406400 412750 416000 420370 422656 423680 426085 429440 430300 436150 444202 447040 454025 455125 457600 462407 466048 473330 488000 495808 503555 504775 507520 508000 524966 528320 529600 536800 537875 546481 550784 558272 558800 572000 581152 582560 619760 634400 646112 660400 662000 671000 672592 681736 688480 697840 698500 704000 715264 726440 728200 757328 774700 780800 793000 805688 807640 812800 825500 832000 840740 845312 847360 852170 858880 860600 872300 888404 894080 908050 910250 915200 924814 932096 946660 968375 976000 991616 1007110 1009550 1015040 1016000 1049932 1050925 1056640 1059200 1073600 1075750 1090375 1092962 1101568 1107821 1110505 1116544 1117600 1144000 1162304 1165120 1183325 1239520 1268800 1292224 1312415 1320800 1324000 1342000 1345184 1363472 1376960 1395680 1397000 1452880 1456400 1514656 1549400 1586000 1611376 1615280 1625600 1651000 1681480 1704340 1717760 1721200 1744600 1776808 1788160 1816100 1820500 1830400 1849628 1864192 1893320 1936750 1952000 1983232 2014220 2019100 2030080 2032000 2099864 2101850 2113280 2118400 2130425 2147200 2151500 2180750 2185924 2203136 2215642 2221010 2233088 2235200 2270125 2288000 2312035 2324608 2330240 2366650 2479040 2517775 2523875 2537600 2564257 2584448 2624830 2641600 2648000 2684000 2690368 2726944 2732405 2753920 2791360 2794000 2887313 2905760 2912800 3029312 3098800 3172000 3222752 3230560 3302000 3362960 3408680 3442400 3489200 3553616 3576320 3632200 3641000 3699256 3786640 3873500 3904000 3966464 4028440 4038200 4064000 4199728 4203700 4226560 4236800 4260850 4294400 4303000 4361500 4371848 4431284 4442020 4466176 4470400 4540250 4576000 4624070 4649216 4660480 4733300 4958080 5035550 5047750 5075200 5128514 5168896 5249660 5254625 5283200 5296000 5368000 5380736 5453888 5464810 5507840 5539105 5552525 5582720 5588000 5774626 5811520 5825600 5916625 6011291 6058624 6197600 6344000 6445504 6461120 6562075 6604000 6725920 6817360 6884800 6978400 7107232 7264400 7282000 7398512 7573280 7747000 8056880 8076400 8128000 8399456 8407400 8521700 8588800 8606000 8723000 8743696 8862568 8884040 8940800 9080500 9152000 9248140 9298432 9320960 9466600 9916160 10071100 10095500 10150400 10257028 10337792 10499320 10509250 10566400 10592000 10652125 10736000 10761472 10907776 10929620 11015680 11078210 11105050 11165440 11176000 11549252 11560175 11623040 11651200 11833250 12022582 12117248 12395200 12588875 12688000 12821285 12891008 12922240 13124150 13208000 13451840 13634720 13662025 13769600 13956800 14214464 14436565 14528800 14564000 14797024 15146560 15494000 16113760 16152800 16798912 16814800 17043400 17212000 17446000 17487392 17725136 17768080 17881600 18161000 18496280 18933200 19832320 20142200 20191000 20514056 20998640 21018500 21132800 21184000 21304250 21472000 21522944 21815552 21859240 22156420 22210100 22330880 22352000 23098504 23120350 23246080 23302400 23666500 24045164 24234496 24790400 25177750 25376000 25642570 25782016 25844480 26248300 26416000 26903680 27269440 27324050 27539200 27695525 27762625 27913600 28206827 28428928 28873130 29057600 29128000 29594048 30056455 30293120 30988000 32227520 32305600 32810375 33335341 33597824 33629600 34086800 34424000 34892000 34974784 35450272 35536160 36322000 36992560 37866400 40284400 40382000 41028112 41997280 42037000 42608500 42944000 43631104 43718480 44312840 44420200 44704000 46197008 46240700 46492160 46604800 47333000 48090328 49580800 50355500 50752000 51285140 51564032 51688960 52496600 52832000 53807360 54538880 54648100 55078400 55391050 55525250 55827200 56413654 56857856 57746260 57800875 58115200 58256000 59188096 60112910 60586240 61976000 64106425 64455040 64611200 65620750 66670682 67195648 67259200 68173600 68310125 68848000 69784000 69949568 70900544 71072320 72182825 72644000 73985120 75732800 80568800 80764000 82056224 83994560 84074000 85217000 87436960 88625680 88840400 89408000 92394016 92481400 94666000 96180656 99161600 100711000 102570280 104993200 105664000 107614720 109077760 109296200 110782100 111050500 111654400 112827308 113715712 115492520 115601750 116230400 116512000 118376192 120225820 121172480 123952000 128212850 128910080 129222400 131241500 133341364 134391296 134518400 136347200 136620250 137696000 138477625 139568000 139899136 141034135 141801088 142144640 144365650 145288000 147970240 150282275 151465600 161137600 161528000 164112448 166676705 167989120 168148000 170434000 174873920 177251360 177680800 184788032 184962800 189332000 192361312 201422000 205140560 209986400 218155520 218592400 221564200 222101000 225654616 230985040 231203500 232460800 233024000 236752384 240451640 247904000 256425700 257820160 258444800 262483000 266682728 269036800 272694400 273240500 275392000 276955250 279136000 279798272 282068270 283602176 284289280 288731300 290576000 295940480 300564550 302931200 320532125 322275200 323056000 328224896 333353410 335978240 336296000 340868000 349747840 354502720 355361600 360914125 366688751 369576064 369925600 378664000 384722624 402844000 410281120 419972800 437184800 443128400 444202000 451309232 461970080 462407000 480903280 495808000 512851400 524966000 533365456 538073600 545388800 546481000 553910500 558272000 564136540 567204352 568578560 577462600 581152000 591880960 601129100 605862400 641064250 644550400 646112000 656449792 666706820 671956480 672592000 681736000 699495680 705170675 709005440 710723200 721828250 733377502 739152128 739851200 751411375 757328000 769445248 805688000 820562240 833383525 839945600 874369600 886256800 888404000 902618464 923940160 924814000 961806560 1025702800 1049932000 1066730912 1090777600 1092962000 1107821000 1128273080 1154925200 1162304000 1183761920 1202258200 1282128500 1289100800 1292224000 1312899584 1333413640 1345184000 1363472000 1398991360 1410341350 1418010880 1421446400 1443656500 1466755004 1478304256 1479702400 1502822750 1514656000 1538890496 1611376000 1641124480 1666767050 1679891200 1748739200 1772513600 1776808000 1805236928 1833443755 1847880320 1849628000 1923613120 2051405600 2099864000 2133461824 2185924000 2215642000 2256546160 2309850400 2404516400 2564257000 2666827280 2690368000 2726944000 2820682700 2836021760 2842892800 2887313000 2933510008 2959404800 3005645500 3029312000 3077780992 3222752000 3282248960 3333534100 3359782400 3497478400 3525853375 3545027200 3553616000 3610473856 3666887510 3695760640 3699256000 3847226240 4102811200 4166917625 4199728000 4266923648 4371848000 4431284000 4513092320 4619700800 4809032800 5128514000 5333654560 5453888000 5641365400 5774626000 5867020016 5918809600 6011291000 6445504000 6564497920 6667068200 6994956800 7051706750 7090054400 7107232000 7220947712 7333775020 7391521280 7398512000 7694452480 8205622400 8333835250 8399456000 8533847296 8743696000 8862568000 9026184640 9167218775 9239401600 9618065600 10257028000 10667309120 11282730800 11549252000 11734040032 12022582000 13334136400 14103413500 14180108800 14214464000 14441895424 14667550040 14797024000 15388904960 16411244800 16667670500 16798912000 17067694592 17487392000 17725136000 18052369280 18334437550 18478803200 19236131200 20514056000 21334618240 22565461600 23098504000 23468080064 24045164000 26668272800 28206827000 29335100080 29594048000 32822489600 33335341000 34974784000 35450272000 36104738560 36668875100 36957606400 38472262400 41028112000 42669236480 45130923200 45836093875 46197008000 46936160128 48090328000 53336545600 56413654000 58670200160 66670682000 70900544000 72209477120 73337750200 76944524800 82056224000 85338472960 90261846400 91672187750 92394016000 93872320256 96180656000 106673091200 112827308000 117340400320 133341364000 146675500400 164112448000 180523692800 183344375500 184788032000 187744640512 192361312000 213346182400 225654616000 234680800640 266682728000 293351000800 361047385600 366688751000 384722624000 426692364800 451309232000 469361601280 533365456000 586702001600 733377502000 902618464000 938723202560 1066730912000 1173404003200 1466755004000 1805236928000 2133461824000 2346808006400 2933510008000 4693616012800 5867020016000 11734040032000 23468080064000
- Sum of all divisors σ(n): 70639766765568
- Sum of proper divisors (its aliquot sum) s(n): 47171686701568
- 23468080064000 is an abundant number, because the sum of its proper divisors (47171686701568) is greater than itself. Its abundance is 23703606637568
Bases of 23468080064000
- Binary: 1010101011000000101101001001101100110000000002
- Hexadecimal: 0x155816936600
- Base-36: 8BH34XX4W
Squares and roots of 23468080064000
- 23468080064000 squared (234680800640002) is 550750781890314244096000000
- 23468080064000 cubed (234680800640003) is 12925063444712495946564567302144000000000
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The
square root of 23468080064000 is 4844386.4486640617 -
The
cube root of 23468080064000 is 28630.2970314369
Scales and comparisons
How big is 23468080064000?- 23,468,080,064,000 seconds is equal to 746,212 years, 18 weeks, 3 days, 53 minutes, 20 seconds.
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To count from 1 to 23,468,080,064,000 would take you about one million, eight hundred sixty-five thousand, five hundred thirty 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 23468080064000 cubic inches would be around 2385.9 feet tall.
Recreational maths with 23468080064000
- 23468080064000 backwards is 00046008086432
- The number of decimal digits it has is: 14
- The sum of 23468080064000's digits is 41
- More coming soon!
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The information we have on file for 23468080064000 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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