40328161524004968000
40,328,161,524,004,968,000 is an even composite number composed of six prime numbers multiplied together.
40328161524004968000 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of eight hundred ninety-six divisors.
Prime factorization of 40328161524004968000:
26 × 33 × 53 × 17 × 109 × 100757933891
(2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 5 × 5 × 5 × 17 × 109 × 100757933891)See below for interesting mathematical facts about the number 40328161524004968000 from the Numbermatics database.
Names of 40328161524004968000
- Cardinal: 40328161524004968000 can be written as Forty quintillion, three hundred twenty-eight quadrillion, one hundred sixty-one trillion, five hundred twenty-four billion, four million, nine hundred sixty-eight thousand.
Scientific notation
- Scientific notation: 4.0328161524004968 × 1019
Factors of 40328161524004968000
- Number of distinct prime factors ω(n): 6
- Total number of prime factors Ω(n): 15
- Sum of prime factors: 100757934027
Divisors of 40328161524004968000
- Number of divisors d(n): 896
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 15 16 17 18 20 24 25 27 30 32 34 36 40 45 48 50 51 54 60 64 68 72 75 80 85 90 96 100 102 108 109 120 125 135 136 144 150 153 160 170 180 192 200 204 216 218 225 240 250 255 270 272 288 300 306 320 327 340 360 375 400 408 425 432 436 450 459 480 500 510 540 544 545 576 600 612 654 675 680 720 750 765 800 816 850 864 872 900 918 960 981 1000 1020 1080 1088 1090 1125 1200 1224 1275 1308 1350 1360 1440 1500 1530 1600 1632 1635 1700 1728 1744 1800 1836 1853 1962 2000 2040 2125 2160 2180 2250 2295 2400 2448 2550 2616 2700 2720 2725 2880 2943 3000 3060 3264 3270 3375 3400 3488 3600 3672 3706 3825 3924 4000 4080 4250 4320 4360 4500 4590 4800 4896 4905 5100 5232 5400 5440 5450 5559 5886 6000 6120 6375 6540 6750 6800 6976 7200 7344 7412 7650 7848 8000 8160 8175 8500 8640 8720 9000 9180 9265 9792 9810 10200 10464 10800 10900 11118 11475 11772 12000 12240 12750 13080 13500 13600 13625 14400 14688 14715 14824 15300 15696 16320 16350 16677 17000 17440 18000 18360 18530 19125 19620 20400 20928 21600 21800 22236 22950 23544 24000 24480 24525 25500 26160 27000 27200 27250 27795 29376 29430 29648 30600 31392 32700 33354 34000 34880 36000 36720 37060 38250 39240 40800 40875 43200 43600 44472 45900 46325 47088 48960 49050 50031 51000 52320 54000 54500 55590 57375 58860 59296 61200 62784 65400 66708 68000 72000 73440 73575 74120 76500 78480 81600 81750 83385 87200 88944 91800 92650 94176 98100 100062 102000 104640 108000 109000 111180 114750 117720 118592 122400 122625 130800 133416 136000 138975 146880 147150 148240 153000 156960 163500 166770 174400 177888 183600 185300 188352 196200 200124 204000 216000 218000 222360 229500 231625 235440 244800 245250 250155 261600 266832 277950 294300 296480 306000 313920 327000 333540 355776 367200 367875 370600 392400 400248 408000 416925 436000 444720 459000 463250 470880 490500 500310 523200 533664 555900 588600 592960 612000 654000 667080 694875 734400 735750 741200 784800 800496 833850 872000 889440 918000 926500 941760 981000 1000620 1067328 1111800 1177200 1224000 1250775 1308000 1334160 1389750 1471500 1482400 1569600 1600992 1667700 1778880 1836000 1853000 1962000 2001240 2084625 2223600 2354400 2501550 2616000 2668320 2779500 2943000 2964800 3201984 3335400 3672000 3706000 3924000 4002480 4169250 4447200 4708800 5003100 5336640 5559000 5886000 6253875 6670800 7412000 7848000 8004960 8338500 8894400 10006200 11118000 11772000 12507750 13341600 14824000 16009920 16677000 20012400 22236000 23544000 25015500 26683200 33354000 40024800 44472000 50031000 66708000 80049600 100062000 133416000 200124000 400248000 100757933891 201515867782 302273801673 403031735564 503789669455 604547603346 806063471128 906821405019 1007579338910 1209095206692 1511369008365 1612126942256 1712884876147 1813642810038 2015158677820 2418190413384 2518948347275 2720464215057 3022738016730 3224253884512 3425769752294 3627285620076 4030317355640 4534107025095 4836380826768 5037896694550 5138654628441 5440928430114 6045476033460 6448507769024 6851539504588 7254571240152 7556845041825 8060634711280 8564424380735 9068214050190 9672761653536 10075793389100 10277309256882 10881856860228 10982614794119 12090952066920 12594741736375 13602321075285 13703079009176 14509142480304 15113690083650 15415963885323 16121269422560 17128848761470 18136428100380 19345523307072 20151586778200 20554618513764 21763713720456 21965229588238 22670535125475 24181904133840 25189483472750 25693273142205 27204642150570 27406158018352 29018284960608 30227380167300 30831927770646 32242538845120 32947844382357 34257697522940 36272856200760 37784225209125 40303173556400 41109237027528 42822121903675 43527427440912 43930459176476 45341070250950 46247891655969 48363808267680 50378966945500 51386546284410 54409284301140 54812316036704 54913073970595 58036569921216 60454760334600 61663855541292 65895688764714 68011605376425 68515395045880 72545712401520 75568450418250 77079819426615 80606347112800 82218474055056 85644243807350 87054854881824 87860918352952 90682140501900 92495783311938 96727616535360 98843533147071 100757933891000 102773092568820 108818568602280 109624632073408 109826147941190 113352675627375 120909520669200 123327711082584 128466365711025 131791377529428 136023210752850 137030790091760 145091424803040 151136900836500 154159638853230 161212694225600 164436948110112 164739221911785 171288487614700 174109709763648 175721836705904 181364281003800 184991566623876 186704451500023 197687066294142 201515867782000 205546185137640 214110609518375 217637137204560 219652295882380 226705351254750 231239458279845 241819041338400 246655422165168 256932731422050 263582755058856 272046421505700 274061580183520 274565369852975 290182849606080 296530599441213 302273801673000 308319277706460 328873896220224 329478443823570 340058026882125 342576975229400 351443673411808 362728562007600 369983133247752 373408903000046 385399097133075 395374132588284 403031735564000 411092370275280 428221219036750 435274274409120 439304591764760 453410702509500 462478916559690 483638082676800 493310844330336 494217665735355 513865462844100 527165510117712 544092843011400 548123160367040 549130739705950 560113354500069 593061198882426 604547603346000 616638555412920 642331828555125 658956887647140 680116053764250 685153950458800 702887346823616 725457124015200 739966266495504 746817806000092 770798194266150 790748265176568 806063471128000 822184740550560 823696109558925 856442438073500 870548548818240 878609183529520 906821405019000 924957833119380 933522257500115 986621688660672 988435331470710 1027730925688200 1054331020235424 1088185686022800 1098261479411900 1120226709000138 1156197291399225 1186122397764852 1209095206692000 1233277110825840 1284663657110250 1317913775294280 1360232107528500 1370307900917600 1372826849264875 1450914248030400 1479932532991008 1482652997206065 1493635612000184 1541596388532300 1581496530353136 1644369481101120 1647392219117850 1680340063500207 1712884876147000 1757218367059040 1813642810038000 1849915666238760 1867044515000230 1926995485665375 1976870662941420 2055461851376400 2108662040470848 2176371372045600 2196522958823800 2240453418000276 2312394582798450 2372244795529704 2418190413384000 2466554221651680 2471088328676775 2569327314220500 2635827550588560 2720464215057000 2740615801835200 2745653698529750 2800566772500345 2959865065982016 2965305994412130 2987271224000368 3083192777064600 3162993060706272 3294784438235700 3360680127000414 3425769752294000 3514436734118080 3627285620076000 3699831332477520 3734089030000460 3853990971330750 3953741325882840 4110923702752800 4118480547794625 4352742744091200 4393045917647600 4480906836000552 4624789165596900 4667611287500575 4744489591059408 4933108443303360 4942176657353550 5041020190500621 5138654628441000 5271655101177120 5440928430114000 5491307397059500 5601133545000690 5780986456996125 5930611988824260 5974542448000736 6166385554129200 6325986121412544 6589568876471400 6721360254000828 6851539504588000 7254571240152000 7399662664955040 7413264986030325 7468178060000920 7707981942661500 7907482651765680 8221847405505600 8236961095589250 8401700317501035 8786091835295200 8961813672001104 9249578331193800 9335222575001150 9488979182118816 9884353314707100 10082040381001242 10277309256882000 10543310202354240 10881856860228000 10982614794119000 11202267090001380 11561972913992250 11861223977648520 11949084896001472 12332771108258400 12355441643383875 13179137752942800 13442720508001656 13703079009176000 14002833862501725 14799325329910080 14826529972060650 14936356120001840 15415963885323000 15814965303531360 16473922191178500 16803400635002070 17572183670590400 17923627344002208 18499156662387600 18670445150002300 18977958364237632 19768706629414200 20164080762002484 20554618513764000 21763713720456000 21965229588238000 22404534180002760 23123945827984500 23338056437502875 23722447955297040 24665542216516800 24710883286767750 25205100952503105 26358275505885600 26885441016003312 28005667725003450 29653059944121300 29872712240003680 30831927770646000 31629930607062720 32947844382357000 33606801270004140 35847254688004416 36998313324775200 37066324930151625 37340890300004600 39537413258828400 40328161524004968 41109237027528000 42008501587505175 43930459176476000 44809068360005520 46247891655969000 46676112875005750 47444895910594080 49421766573535500 50410201905006210 52716551011771200 53770882032006624 56011335450006900 59306119888242600 59745424480007360 61663855541292000 65895688764714000 67213602540008280 70014169312508625 73996626649550400 74132649860303250 74681780600009200 79074826517656800 80656323048009936 84017003175010350 87860918352952000 89618136720011040 92495783311938000 93352225750011500 94889791821188160 98843533147071000 100820403810012420 107541764064013248 112022670900013800 118612239776485200 123327711082584000 126025504762515525 131791377529428000 134427205080016560 140028338625017250 148265299720606500 149363561200018400 158149653035313600 161312646096019872 168034006350020700 179236273440022080 184991566623876000 186704451500023000 197687066294142000 201640807620024840 210042507937525875 224045341800027600 237224479552970400 252051009525031050 263582755058856000 268854410160033120 280056677250034500 296530599441213000 298727122400036800 322625292192039744 336068012700041400 369983133247752000 373408903000046000 395374132588284000 403281615240049680 420085015875051750 448090683600055200 474448959105940800 504102019050062100 537708820320066240 560113354500069000 593061198882426000 630127523812577625 672136025400082800 746817806000092000 790748265176568000 806563230480099360 840170031750103500 896181367200110400 1008204038100124200 1120226709000138000 1186122397764852000 1260255047625155250 1344272050800165600 1493635612000184000 1613126460960198720 1680340063500207000 2016408076200248400 2240453418000276000 2372244795529704000 2520510095250310500 2688544101600331200 3360680127000414000 4032816152400496800 4480906836000552000 5041020190500621000 6721360254000828000 8065632304800993600 10082040381001242000 13442720508001656000 20164080762002484000 40328161524004968000
- Sum of all divisors σ(n): 158100321952449676800
- Sum of proper divisors (its aliquot sum) s(n): 117772160428444708800
- 40328161524004968000 is an abundant number, because the sum of its proper divisors (117772160428444708800) is greater than itself. Its abundance is 77443998904439740800
Bases of 40328161524004968000
- Binary: 1000101111101010100110100100111101000000101110010001010110010000002
- Hexadecimal: 0x22FAA693D02E45640
- Base-36: 8IE785MU66MO0
Squares and roots of 40328161524004968000
- 40328161524004968000 squared (403281615240049680002) is 1626360611906234703188902488681024000000
- 40328161524004968000 cubed (403281615240049680003) is 65588133453234190412376207621819360053284343327232000000000
-
The
square root of 40328161524004968000 is 6350445773.6449468875 -
The
cube root of 40328161524004968000 is 3429278.9051559759
Scales and comparisons
How big is 40328161524004968000?- 40,328,161,524,004,968,000 seconds is equal to 293,274,701,009 years, 3 weeks, 3 days, 15 hours, 30 minutes, 7 seconds.
-
To count from 1 to 40,328,161,524,004,968,000 would take you about two hundred ninety-three billion, two hundred seventy-four million, seven hundred one thousand and nine 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 40328161524004968000 cubic inches would be around 285773.2 feet tall.
Recreational maths with 40328161524004968000
- 40328161524004968000 backwards is 00086940042516182304
- The number of decimal digits it has is: 20
- The sum of 40328161524004968000's digits is 63
- More coming soon!
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The information we have on file for 40328161524004968000 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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