920046405930248331000
920,046,405,930,248,331,000 is an even composite number composed of six prime numbers multiplied together.
What does the number 920046405930248331000 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 768 divisors.
920046405930248331000 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of seven hundred sixty-eight divisors.
Prime factorization of 920046405930248331000:
23 × 32 × 53 × 73 × 53 × 5623377437521
(2 × 2 × 2 × 3 × 3 × 5 × 5 × 5 × 7 × 7 × 7 × 53 × 5623377437521)See below for interesting mathematical facts about the number 920046405930248331000 from the Numbermatics database.
Names of 920046405930248331000
- Cardinal: 920046405930248331000 can be written as Nine hundred twenty quintillion, forty-six quadrillion, four hundred five trillion, nine hundred thirty billion, two hundred forty-eight million, three hundred thirty-one thousand.
Scientific notation
- Scientific notation: 9.20046405930248331 × 1020
Factors of 920046405930248331000
- Number of distinct prime factors ω(n): 6
- Total number of prime factors Ω(n): 13
- Sum of prime factors: 5623377437591
Divisors of 920046405930248331000
- Number of divisors d(n): 768
-
Complete list of divisors:
1 2 3 4 5 6 7 8 9 10 12 14 15 18 20 21 24 25 28 30 35 36 40 42 45 49 50 53 56 60 63 70 72 75 84 90 98 100 105 106 120 125 126 140 147 150 159 168 175 180 196 200 210 212 225 245 250 252 265 280 294 300 315 318 343 350 360 371 375 392 420 424 441 450 477 490 500 504 525 530 588 600 630 636 686 700 735 742 750 795 840 875 882 900 954 980 1000 1029 1050 1060 1113 1125 1176 1225 1260 1272 1325 1372 1400 1470 1484 1500 1575 1590 1715 1750 1764 1800 1855 1908 1960 2058 2100 2120 2205 2226 2250 2385 2450 2520 2597 2625 2650 2744 2940 2968 3000 3087 3150 3180 3339 3430 3500 3528 3675 3710 3816 3975 4116 4200 4410 4452 4500 4770 4900 5145 5194 5250 5300 5565 5880 6125 6174 6300 6360 6625 6678 6860 7000 7350 7420 7791 7875 7950 8232 8575 8820 8904 9000 9275 9540 9800 10290 10388 10500 10600 11025 11130 11925 12250 12348 12600 12985 13250 13356 13720 14700 14840 15435 15582 15750 15900 16695 17150 17640 18179 18375 18550 19080 19875 20580 20776 21000 22050 22260 23373 23850 24500 24696 25725 25970 26500 26712 27825 29400 30870 31164 31500 31800 33390 34300 36358 36750 37100 38955 39750 41160 42875 44100 44520 46375 46746 47700 49000 51450 51940 53000 54537 55125 55650 59625 61740 62328 63000 64925 66780 68600 72716 73500 74200 77175 77910 79500 83475 85750 88200 90895 92750 93492 95400 102900 103880 109074 110250 111300 116865 119250 123480 128625 129850 133560 139125 145432 147000 154350 155820 159000 163611 166950 171500 181790 185500 186984 194775 205800 218148 220500 222600 233730 238500 257250 259700 272685 278250 308700 311640 324625 327222 333900 343000 363580 371000 385875 389550 417375 436296 441000 454475 467460 477000 514500 519400 545370 556500 584325 617400 649250 654444 667800 727160 771750 779100 818055 834750 908950 934920 973875 1029000 1090740 1113000 1168650 1298500 1308888 1363425 1543500 1558200 1636110 1669500 1817900 1947750 2181480 2272375 2337300 2597000 2726850 2921625 3087000 3272220 3339000 3635800 3895500 4090275 4544750 4674600 5453700 5843250 6544440 6817125 7791000 8180550 9089500 10907400 11686500 13634250 16361100 18179000 20451375 23373000 27268500 32722200 40902750 54537000 81805500 163611000 5623377437521 11246754875042 16870132312563 22493509750084 28116887187605 33740264625126 39363642062647 44987019500168 50610396937689 56233774375210 67480529250252 78727284125294 84350661562815 101220793875378 112467548750420 118090926187941 134961058500504 140584435938025 157454568250588 168701323125630 196818210313235 202441587750756 224935097500840 236181852375882 253051984688445 275545494438529 281168871876050 298039004188613 314909136501176 337402646251260 354272778563823 393636420626470 404883175501512 421753307814075 472363704751764 506103969376890 551090988877058 562337743752100 590454630939705 596078008377226 674805292502520 702922179690125 708545557127646 787272841252940 826636483315587 843506615628150 894117012565839 944727409503528 984091051566175 1012207938753780 1102181977754116 1124675487504200 1180909261879410 1192156016754452 1265259923442225 1377727472192645 1405844359380250 1417091114255292 1490195020943065 1574545682505880 1653272966631174 1687013231256300 1771363892819115 1788234025131678 1928818461069703 1968182103132350 2024415877507560 2086273029320291 2108766539070375 2204363955508232 2361818523758820 2384312033508904 2479909449946761 2530519846884450 2682351037697517 2755454944385290 2811688718760500 2834182228510584 2952273154698525 2980390041886130 3306545933262348 3374026462512600 3542727785638230 3576468050263356 3857636922139406 3936364206264700 4133182416577935 4172546058640582 4217533078140750 4470585062829195 4723637047517640 4920455257830875 4959818899893522 5061039693768900 5364702075395034 5510909888770580 5623377437521000 5786455383209109 5904546309397050 5960780083772260 6258819087960873 6326299617211125 6613091866524696 6888637360963225 7085455571276460 7152936100526712 7450975104715325 7715273844278812 7872728412529400 8266364833155870 8345092117281164 8435066156281500 8856819464095575 8941170125658390 9644092305348515 9840910515661750 9919637799787044 10122079387537800 10431365146601455 10729404150790068 11021819777541160 11572910766418218 11809092618794100 11921560167544520 12399547249733805 12517638175921746 12652599234422250 13411755188487585 13777274721926450 14170911142552920 14603911205242037 14761365773492625 14901950209430650 15430547688557624 16532729666311740 16690184234562328 16870132312563000 17359366149627327 17713638928191150 17882340251316780 18776457263882619 19288184610697030 19681821031323500 19839275599574088 20665912082889675 20862730293202910 21458808301580136 22352925314145975 23145821532836436 23618185237588200 24799094499467610 25035276351843492 25305198468844500 26823510376975170 27554549443852900 28932276916045545 29207822410484074 29522731546985250 29803900418861300 31294095439804365 33065459332623480 34443186804816125 34718732299254654 35427277856382300 35764680502633560 37254875523576625 37552914527765238 38576369221394060 39363642062647000 41331824165779350 41725460586405820 43811733615726111 44284097320477875 44705850628291950 46291643065672872 48220461526742575 49598188998935220 50070552703686984 50610396937689000 52156825733007275 53647020753950340 55109098887705800 57864553832091090 58415644820968148 59045463093970500 59607800837722600 61997736248669025 62588190879608730 67058775942437925 68886373609632250 69437464598509308 70854555712764600 73019556026210185 74509751047153250 75105829055530476 77152738442788120 82663648331558700 83450921172811640 86796830748136635 87623467231452222 88568194640955750 89411701256583900 93882286319413095 96440923053485150 99196377997870440 102227378436694259 103329560414448375 104313651466014550 107294041507900680 111764626570729875 115729107664182180 116831289641936296 118090926187941000 123995472497338050 125176381759217460 131435200847178333 134117551884875850 137772747219264500 138874929197018616 144661384580227725 146039112052420370 149019502094306500 150211658111060952 156470477199021825 165327296663117400 173593661496273270 175246934462904444 177136389281911500 178823402513167800 187764572638826190 192881846106970300 204454756873388518 206659120828896750 208627302932029100 219058668078630555 223529253141459750 231458215328364360 241102307633712875 247990944994676100 250352763518434920 260784128665036375 262870401694356666 268235103769751700 275545494438529000 289322769160455450 292078224104840740 298039004188613000 306682135310082777 309988681243345125 312940954398043650 335293879712189625 347187322992546540 350493868925808888 354272778563823000 365097780131050925 375529145277652380 385763692213940600 408909513746777036 413318241657793500 417254605864058200 433984153740683175 438117336157261110 447058506282919500 469411431597065475 482204615267425750 495981889989352200 511136892183471295 521568257330072750 525740803388713332 536470207539503400 578645538320910900 584156448209681480 613364270620165554 619977362486690250 625881908796087300 657176004235891665 670587759424379250 694374645985093080 723306922901138625 730195560262101850 751058290555304760 782352385995109125 817819027493554072 826636483315587000 867968307481366350 876234672314522220 894117012565839000 920046405930248331 938822863194130950 964409230534851500 1022273784366942590 1043136514660145500 1051481606777426664 1095293340393152775 1157291076641821800 1226728541240331108 1239954724973380500 1251763817592174600 1314352008471783330 1341175518848758500 1446613845802277250 1460391120524203700 1533410676550413885 1564704771990218250 1735936614962732700 1752469344629044440 1825488900655254625 1840092811860496662 1877645726388261900 1928818461069703000 2044547568733885180 2086273029320291000 2169920768703415875 2190586680786305550 2347057157985327375 2453457082480662216 2479909449946761000 2555684460917356475 2628704016943566660 2682351037697517000 2893227691604554500 2920782241048407400 3066821353100827770 3129409543980436500 3285880021179458325 3471873229925465400 3650977801310509250 3680185623720993324 3755291452776523800 4089095137467770360 4339841537406831750 4381173361572611100 4600232029651241655 4694114315970654750 5111368921834712950 5257408033887133320 5476466701965763875 5786455383209109000 6133642706201655540 6258819087960873000 6571760042358916650 7301955602621018500 7360371247441986648 7667053382752069425 8679683074813663500 8762346723145222200 9200464059302483310 9388228631941309500 10222737843669425900 10952933403931527750 12267285412403311080 12778422304586782375 13143520084717833300 14603911205242037000 15334106765504138850 16429400105897291625 17359366149627327000 18400928118604966620 18776457263882619000 20445475687338851800 21905866807863055500 23001160148256208275 25556844609173564750 26287040169435666600 30668213531008277700 32858800211794583250 36801856237209933240 38335266913760347125 43811733615726111000 46002320296512416550 51113689218347129500 61336427062016555400 65717600423589166500 76670533827520694250 92004640593024833100 102227378436694259000 115005800741281041375 131435200847178333000 153341067655041388500 184009281186049666200 230011601482562082750 306682135310082777000 460023202965124165500 920046405930248331000
- Sum of all divisors σ(n): 3694963859627455584000
- Sum of proper divisors (its aliquot sum) s(n): 2774917453697207253000
- 920046405930248331000 is an abundant number, because the sum of its proper divisors (2774917453697207253000) is greater than itself. Its abundance is 1854871047766958922000
Bases of 920046405930248331000
- Binary: 11000111100000001101010111001110010100001010110100110001011110111110002
- Hexadecimal: 0x31E03573942B4C5EF8
- Base-36: 5E62XBFW0DBV20
Squares and roots of 920046405930248331000
- 920046405930248331000 squared (9200464059302483310002) is 846485389065167291252962067328285561000000
- 920046405930248331000 cubed (9200464059302483310003) is 778805839881875097434633218570615947149905477211648691000000000
-
The
square root of 920046405930248331000 is 30332266745.6662119305 -
The
cube root of 920046405930248331000 is 9726051.7880232751
Scales and comparisons
How big is 920046405930248331000?- 920,046,405,930,248,331,000 seconds is equal to 293,274,701,009 years, 3 weeks, 3 days, 15 hours, 30 minutes, 7 seconds.
-
To count from 1 to 920,046,405,930,248,331,000 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 920046405930248331000 cubic inches would be around 810504.3 feet tall.
Recreational maths with 920046405930248331000
- 920046405930248331000 backwards is 000133842039504640029
- 920046405930248331000 is a
Harshad number . - The number of decimal digits it has is: 21
- The sum of 920046405930248331000's digits is 63
- More coming soon!
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The information we have on file for 920046405930248331000 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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