642388968000

Names of 642388968000

• Cardinal: 642388968000 can be written as Six hundred forty-two billion, three hundred eighty-eight million, nine hundred sixty-eight thousand.

Scientific notation

• Scientific notation: 6.42388968 × 10¹¹

Factors of 642388968000

• Number of distinct prime factors ω(n): 6
• Total number of prime factors Ω(n): 18
• Sum of prime factors: 289

Divisors of 642388968000

• Number of divisors d(n): 1568
• Complete list of divisors:
  1 2 3 4 5 6 8 9 10 12 13 15 16 18 20 24 25 26 27 30 32 36 37 39 40 45 48 50 52 54 60 64 65 72 74 75 78 80 81 90 96 100 104 108 111 117 120 125 130 135 144 148 150 156 160 162 180 185 192 195 200 208 216 222 225 229 234 240 243 250 260 270 288 296 300 312 320 324 325 333 351 360 370 375 390 400 405 416 432 444 450 458 468 480 481 486 500 520 540 555 576 585 592 600 624 648 650 666 675 687 702 720 729 740 750 780 800 810 832 864 888 900 916 925 936 960 962 972 975 999 1000 1040 1053 1080 1110 1125 1145 1170 1184 1200 1215 1248 1296 1300 1332 1350 1374 1404 1440 1443 1458 1480 1500 1560 1600 1620 1625 1665 1728 1755 1776 1800 1832 1850 1872 1924 1944 1950 1998 2000 2025 2061 2080 2106 2160 2220 2250 2290 2340 2368 2400 2405 2430 2496 2592 2600 2664 2700 2748 2775 2808 2880 2886 2916 2925 2960 2977 2997 3000 3120 3159 3240 3250 3330 3375 3435 3510 3552 3600 3645 3664 3700 3744 3848 3888 3900 3996 4000 4050 4122 4160 4212 4320 4329 4440 4500 4580 4625 4680 4800 4810 4860 4875 4995 5184 5200 5265 5328 5400 5496 5550 5616 5725 5772 5832 5850 5920 5954 5994 6000 6075 6183 6240 6318 6480 6500 6660 6750 6870 7020 7104 7200 7215 7290 7328 7400 7488 7696 7776 7800 7992 8000 8100 8244 8325 8424 8473 8640 8658 8775 8880 8931 8991 9000 9160 9250 9360 9477 9620 9720 9750 9990 10125 10305 10400 10530 10656 10800 10992 11100 11232 11450 11544 11664 11700 11840 11908 11988 12000 12025 12150 12366 12480 12636 12960 12987 13000 13320 13500 13740 13875 14040 14400 14430 14580 14625 14656 14800 14885 14985 15392 15552 15600 15795 15984 16200 16488 16650 16848 16946 17175 17316 17550 17760 17862 17982 18000 18225 18320 18500 18549 18720 18954 19240 19440 19500 19980 20250 20610 20800 21060 21312 21600 21645 21984 22200 22464 22900 23088 23328 23400 23816 23976 24000 24050 24300 24732 24975 25272 25419 25920 25974 26000 26325 26640 26793 26973 27000 27480 27750 28080 28625 28860 29160 29250 29600 29770 29970 30375 30784 30915 31200 31590 31968 32400 32976 33300 33696 33892 34350 34632 35100 35520 35724 35964 36000 36075 36450 36640 37000 37098 37440 37908 38480 38880 38961 39000 39960 40500 41220 41625 42120 42365 43200 43290 43875 43968 44400 44655 44955 45800 46176 46656 46800 47385 47632 47952 48100 48600 49464 49950 50544 50838 51525 51948 52000 52650 53280 53586 53946 54000 54960 55500 55647 56160 57250 57720 58320 58500 59200 59540 59940 60125 60750 61830 62400 63180 63936 64800 64935 65952 66600 67392 67784 68700 69264 70200 71448 71928 72000 72150 72900 73280 74000 74196 74425 74925 75816 76257 76960 77760 77922 78000 78975 79920 80379 81000 82440 83250 84240 84730 85875 86580 87750 88800 89310 89910 91125 91600 92352 92745 93600 94770 95264 95904 96200 97200 98928 99900 101088 101676 103050 103896 104000 105300 106560 107172 107892 108000 108225 109920 110149 111000 111294 112320 114500 115440 116640 116883 117000 119080 119880 120250 121500 123660 124875 126360 127095 129600 129870 131625 131904 133200 133965 134865 135568 137400 138528 140400 142896 143856 144300 145800 148000 148392 148850 149850 151632 152514 153920 154575 155844 156000 157950 159840 160758 162000 164880 166500 166941 168480 169460 171750 173160 175500 177600 178620 179820 180375 182250 183200 185490 187200 189540 190528 191808 192400 194400 194805 197856 199800 202176 203352 206100 207792 210600 211825 214344 215784 216000 216450 219840 220298 222000 222588 223275 224775 228771 229000 230880 233280 233766 234000 236925 238160 239760 240500 241137 243000 247320 249750 252720 254190 257625 259740 263250 266400 267930 269730 271136 274800 277056 278235 280800 285792 287712 288600 291600 296000 296784 297700 299700 303264 305028 309150 311688 312000 315900 319680 321516 324000 324675 329760 330447 333000 333882 336960 338920 343500 346320 350649 351000 357240 359640 360750 364500 366400 370980 372125 374625 379080 381285 384800 388800 389610 394875 395712 399600 401895 406704 412200 415584 421200 423650 428688 431568 432900 440596 444000 445176 446550 449550 457542 458000 461760 463725 467532 468000 473850 476320 479520 481000 482274 486000 494640 499500 505440 508380 515250 519480 526500 532800 535860 539460 541125 542272 549600 550745 556470 561600 571584 575424 577200 583200 584415 593568 595400 599400 606528 610056 618300 623376 631800 635475 643032 648000 649350 659520 660894 666000 667764 669825 674325 677840 686313 687000 692640 701298 702000 714480 719280 721500 723411 729000 741960 744250 749250 758160 762570 769600 772875 779220 789750 799200 803790 813408 824400 831168 834705 842400 847300 857376 863136 865800 881192 888000 890352 893100 899100 915084 916000 927450 935064 936000 947700 952640 959040 962000 964548 972000 974025 989280 991341 999000 1010880 1016760 1030500 1038960 1053000 1059125 1071720 1078920 1082250 1099200 1101490 1112940 1116375 1123875 1143855 1154400 1166400 1168830 1184625 1187136 1190800 1198800 1205685 1220112 1236600 1246752 1263600 1270950 1286064 1298700 1321788 1332000 1335528 1339650 1348650 1355680 1372626 1374000 1385280 1391175 1402596 1404000 1428960 1438560 1443000 1446822 1458000 1483920 1488500 1498500 1516320 1525140 1545750 1558440 1579500 1598400 1607580 1623375 1626816 1648800 1652235 1669410 1684800 1694600 1714752 1726272 1731600 1753245 1762384 1780704 1786200 1798200 1830168 1832000 1854900 1870128 1895400 1906425 1924000 1929096 1944000 1948050 1978560 1982682 1998000 2009475 2033520 2058939 2061000 2077920 2106000 2118250 2143440 2157840 2164500 2170233 2202980 2225880 2232750 2247750 2287710 2308800 2318625 2337660 2369250 2381600 2397600 2411370 2440224 2473200 2493504 2527200 2541900 2572128 2597400 2643576 2664000 2671056 2679300 2697300 2711360 2745252 2748000 2753725 2782350 2805192 2808000 2857920 2877120 2886000 2893644 2916000 2922075 2967840 2974023 2977000 2997000 3032640 3050280 3091500 3116880 3159000 3177375 3215160 3246750 3297600 3304470 3338820 3349125 3371625 3389200 3431565 3463200 3506490 3524768 3561408 3572400 3596400 3617055 3660336 3709800 3740256 3790800 3812850 3848000 3858192 3896100 3965364 3996000 4018950 4067040 4117878 4122000 4155840 4173525 4212000 4236500 4286880 4315680 4329000 4340466 4405960 4451760 4465500 4495500 4575420 4637250 4675320 4738500 4763200 4795200 4822740 4870125 4880448 4946400 4956705 5054400 5083800 5144256 5194800 5287152 5342112 5358600 5394600 5490504 5496000 5507450 5564700 5610384 5719275 5772000 5787288 5832000 5844150 5935680 5948046 5954000 5994000 6028425 6100560 6176817 6183000 6233760 6318000 6354750 6430320 6493500 6608940 6677640 6698250 6743250 6778400 6863130 6926400 6955875 7012980 7049536 7144800 7192800 7234110 7320672 7419600 7480512 7581600 7625700 7716384 7792200 7930728 7992000 8037900 8134080 8235756 8244000 8261175 8347050 8424000 8473000 8573760 8631360 8658000 8680932 8766225 8811920 8903520 8922069 8931000 8991000 9150840 9274500 9350640 9477000 9532125 9645480 9740250 9892800 9913410 10047375 10167600 10294695 10389600 10574304 10684224 10717200 10789200 10851165 10981008 11014900 11129400 11220768 11438550 11544000 11574576 11688300 11896092 11908000 11988000 12056850 12201120 12353634 12366000 12467520 12636000 12709500 12860640 12987000 13217880 13355280 13396500 13486500 13556800 13726260 13768625 13911750 14025960 14289600 14385600 14468220 14610375 14641344 14839200 14870115 15163200 15251400 15432768 15584400 15861456 16075800 16471512 16488000 16522350 16694100 16946000 17157825 17316000 17361864 17532450 17623840 17807040 17844138 17862000 17982000 18085275 18301680 18549000 18701280 18954000 19064250 19290960 19480500 19826820 20094750 20335200 20589390 20779200 20867625 21148608 21434400 21578400 21702330 21962016 22029800 22258800 22441536 22877100 23149152 23376600 23792184 23816000 23976000 24113700 24402240 24707268 24732000 24783525 25272000 25419000 25721280 25974000 26435760 26710560 26766207 26793000 26973000 27452520 27537250 27823500 28051920 28596375 28936440 29220750 29678400 29740230 30142125 30502800 30884085 31168800 31722912 32151600 32943024 33044700 33388200 33892000 34315650 34632000 34723728 35064900 35247680 35688276 35724000 35964000 36170550 36603360 37098000 37402560 37908000 38128500 38581920 38961000 39653640 40189500 40670400 41178780 41305875 41735250 42868800 43156800 43404660 43831125 43924032 44059600 44517600 44610345 45754200 46298304 46753200 47584368 48227400 49414536 49464000 49567050 50838000 51473475 51948000 52871520 53421120 53532414 53586000 53946000 54255825 54905040 55074500 55647000 56103840 57192750 57872880 58441500 59480460 60284250 61005600 61768170 62337600 63445824 64303200 65886048 66089400 66776400 67784000 68631300 69447456 70129800 71376552 71448000 71928000 72341100 73206720 74196000 74350575 75816000 76257000 77163840 77922000 79307280 80298621 80379000 82357560 82611750 83470500 85789125 86809320 87662250 88119200 89035200 89220690 90426375 91508400 93506400 95168736 96454800 98829072 99134100 101676000 102946950 103896000 105743040 107064828 107172000 107892000 108511650 109810080 110149000 111294000 112207680 114385500 115745760 116883000 118960920 120568500 122011200 123536340 123917625 128606400 131772096 132178800 133552800 133831035 137262600 138894912 140259600 142753104 144682200 148392000 148701150 152514000 154420425 155844000 158614560 160597242 160758000 164715120 165223500 166941000 171578250 173618640 175324500 176238400 178441380 180852750 183016800 187012800 190337472 192909600 197658144 198268200 203352000 205893900 214129656 214344000 215784000 217023300 219620160 220298000 222588000 223051725 228771000 231491520 233766000 237921840 241137000 247072680 247835250 257367375 264357600 267105600 267662070 271279125 274525200 280519200 285506208 289364400 297402300 305028000 308840850 311688000 317229120 321194484 321516000 329430240 330447000 333882000 343156500 347237280 350649000 356882760 361705500 366033600 371752875 385819200 395316288 396536400 401493105 411787800 428259312 434046600 440596000 445176000 446103450 457542000 467532000 475843680 482274000 494145360 495670500 514734750 528715200 535324140 542558250 549050400 561038400 571012416 578728800 594804600 610056000 617681700 642388968 643032000 658860480 660894000 667764000 669155175 686313000 694474560 701298000 713765520 723411000 743505750 772102125 793072800 802986210 823575600 856518624 868093200 881192000 892206900 915084000 935064000 951687360 964548000 988290720 991341000 1029469500 1070648280 1085116500 1098100800 1115258625 1157457600 1189609200 1235363400 1284777936 1321788000 1335528000 1338310350 1372626000 1402596000 1427531040 1446822000 1487011500 1544204250 1586145600 1605972420 1647151200 1713037248 1736186400 1784413800 1830168000 1929096000 1976581440 1982682000 2007465525 2058939000 2141296560 2170233000 2230517250 2379218400 2470726800 2569555872 2643576000 2676620700 2745252000 2805192000 2855062080 2893644000 2974023000 3088408500 3211944840 3294302400 3345775875 3472372800 3568827600 3965364000 4014931050 4117878000 4282593120 4340466000 4461034500 4758436800 4941453600 5139111744 5353241400 5490504000 5787288000 5948046000 6176817000 6423889680 6691551750 7137655200 7930728000 8029862100 8235756000 8565186240 8680932000 8922069000 9882907200 10037327625 10706482800 11896092000 12353634000 12847779360 13383103500 14275310400 16059724200 16471512000 17361864000 17844138000 20074655250 21412965600 23792184000 24707268000 25695558720 26766207000 32119448400 35688276000 40149310500 42825931200 49414536000 53532414000 64238896800 71376552000 80298621000 107064828000 128477793600 160597242000 214129656000 321194484000 642388968000
• Sum of all divisors σ(n): 2649646577760
• Sum of proper divisors (its aliquot sum) s(n): 2007257609760
• 642388968000 is an abundant number, because the sum of its proper divisors (2007257609760) is greater than itself. Its abundance is 1364868641760

Bases of 642388968000

• Binary: 1001010110010001010111011100001001000000₂
• Hexadecimal: 0x95915DC240
• Base-36: 873XT000

Squares and roots of 642388968000

• 642388968000 squared (642388968000²) is 412663586208105024000000
• 642388968000 cubed (642388968000³) is 265090535275403619602975232000000000
• The square root of 642388968000 is 801491.7142428859
• The cube root of 642388968000 is 8628.4481033747

Scales and comparisons

• 642,388,968,000 seconds is equal to 20,425 years, 51 weeks, 12 hours.
• To count from 1 to 642,388,968,000 would take you about forty thousand, eight hundred fifty-one 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 642388968000 cubic inches would be around 719 feet tall.

Recreational maths with 642388968000

• 642388968000 backwards is 000869883246
• 642388968000 is a Harshad number.
• The number of decimal digits it has is: 12
• The sum of 642388968000's digits is 54
• More coming soon!