434142013248000

Names of 434142013248000

• Cardinal: 434142013248000 can be written as Four hundred thirty-four trillion, one hundred forty-two billion, thirteen million, two hundred forty-eight thousand.

Scientific notation

• Scientific notation: 4.34142013248 × 10¹⁴

Factors of 434142013248000

• Number of distinct prime factors ω(n): 4
• Total number of prime factors Ω(n): 18
• Sum of prime factors: 641

Divisors of 434142013248000

• Number of divisors d(n): 640
• Complete list of divisors:
  1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 25 27 30 32 36 40 45 48 50 54 60 64 72 75 80 90 96 100 108 120 125 128 135 144 150 160 180 192 200 216 225 240 250 256 270 288 300 320 360 375 384 400 432 450 480 500 512 540 576 600 631 640 675 720 750 768 800 864 900 960 1000 1080 1125 1152 1200 1262 1280 1350 1440 1500 1536 1600 1728 1800 1893 1920 2000 2160 2250 2304 2400 2524 2560 2700 2880 3000 3155 3200 3375 3456 3600 3786 3840 4000 4320 4500 4608 4800 5048 5400 5679 5760 6000 6310 6400 6750 6912 7200 7572 7680 8000 8640 9000 9465 9600 10096 10800 11358 11520 12000 12620 12800 13500 13824 14400 15144 15775 16000 17037 17280 18000 18930 19200 20192 21600 22716 23040 24000 25240 27000 28395 28800 30288 31550 32000 34074 34560 36000 37860 38400 40384 43200 45432 47325 48000 50480 54000 56790 57600 60576 63100 64000 68148 69120 72000 75720 78875 80768 85185 86400 90864 94650 96000 100960 108000 113580 115200 121152 126200 136296 141975 144000 151440 157750 161536 170370 172800 181728 189300 192000 201920 216000 227160 236625 242304 252400 272592 283950 288000 302880 315500 323072 340740 345600 363456 378600 398161 403840 425925 432000 454320 473250 484608 504800 545184 567900 576000 605760 631000 681480 709875 726912 757200 796322 807680 851850 864000 908640 946500 969216 1009600 1090368 1135800 1194483 1211520 1262000 1362960 1419750 1453824 1514400 1592644 1615360 1703700 1728000 1817280 1893000 1990805 2019200 2129625 2180736 2271600 2388966 2423040 2524000 2725920 2839500 2907648 3028800 3185288 3407400 3583449 3634560 3786000 3981610 4038400 4259250 4361472 4543200 4777932 4846080 5048000 5451840 5679000 5972415 6057600 6370576 6814800 7166898 7269120 7572000 7963220 8076800 8518500 8722944 9086400 9555864 9954025 10096000 10750347 10903680 11358000 11944830 12115200 12741152 13629600 14333796 14538240 15144000 15926440 17037000 17917245 18172800 19111728 19908050 20192000 21500694 21807360 22716000 23889660 24230400 25482304 27259200 28667592 29862075 30288000 31852880 34074000 35834490 36345600 38223456 39816100 40384000 43001388 43614720 45432000 47779320 49770125 50964608 53751735 54518400 57335184 59724150 60576000 63705760 68148000 71668980 72691200 76446912 79632200 86002776 89586225 90864000 95558640 99540250 101929216 107503470 109036800 114670368 119448300 121152000 127411520 136296000 143337960 149310375 152893824 159264400 172005552 179172450 181728000 191117280 199080500 203858432 215006940 218073600 229340736 238896600 251239591 254823040 268758675 272592000 286675920 298620750 305787648 318528800 344011104 358344900 363456000 382234560 398161000 430013880 447931125 458681472 477793200 502479182 509646080 537517350 545184000 573351840 597241500 611575296 637057600 688022208 716689800 753718773 764469120 796322000 860027760 895862250 917362944 955586400 1004958364 1019292160 1075034700 1090368000 1146703680 1194483000 1256197955 1274115200 1343793375 1376044416 1433379600 1507437546 1528938240 1592644000 1720055520 1791724500 1834725888 1911172800 2009916728 2150069400 2261156319 2293407360 2388966000 2512395910 2548230400 2687586750 2752088832 2866759200 3014875092 3057876480 3185288000 3440111040 3583449000 3768593865 3822345600 4019833456 4300138800 4522312638 4586814720 4777932000 5024791820 5096460800 5375173500 5504177664 5733518400 6029750184 6280989775 6370576000 6783468957 6880222080 7166898000 7537187730 7644691200 8039666912 8600277600 9044625276 9173629440 9555864000 10049583640 10750347000 11305781595 11467036800 12059500368 12561979550 12741152000 13566937914 13760444160 14333796000 15074375460 15289382400 16079333824 17200555200 18089250552 18842969325 19111728000 20099167280 21500694000 22611563190 22934073600 24119000736 25123959100 25482304000 27133875828 27520888320 28667592000 30148750920 31404948875 32158667648 33917344785 34401110400 36178501104 37685938650 38223456000 40198334560 43001388000 45223126380 45868147200 48238001472 50247918200 54267751656 56528907975 57335184000 60297501840 62809897750 64317335296 67834689570 68802220800 72357002208 75371877300 76446912000 80396669120 86002776000 90446252760 94214846625 96476002944 100495836400 108535503312 113057815950 114670368000 120595003680 125619795500 128634670592 135669379140 137604441600 144714004416 150743754600 160793338240 169586723925 172005552000 180892505520 188429693250 192952005888 200991672800 217071006624 226115631900 229340736000 241190007360 251239591000 271338758280 282644539875 289428008832 301487509200 321586676480 339173447850 344011104000 361785011040 376859386500 385904011776 401983345600 434142013248 452231263800 482380014720 502479182000 542677516560 565289079750 578856017664 602975018400 643173352960 678346895700 688022208000 723570022080 753718773000 803966691200 847933619625 868284026496 904462527600 964760029440 1004958364000 1085355033120 1130578159500 1157712035328 1205950036800 1356693791400 1447140044160 1507437546000 1607933382400 1695867239250 1736568052992 1808925055200 1929520058880 2009916728000 2170710066240 2261156319000 2411900073600 2713387582800 2894280088320 3014875092000 3215866764800 3391734478500 3473136105984 3617850110400 4019833456000 4341420132480 4522312638000 4823800147200 5426775165600 5788560176640 6029750184000 6783468957000 7235700220800 8039666912000 8682840264960 9044625276000 9647600294400 10853550331200 12059500368000 13566937914000 14471400441600 16079333824000 17365680529920 18089250552000 21707100662400 24119000736000 27133875828000 28942800883200 36178501104000 43414201324800 48238001472000 54267751656000 72357002208000 86828402649600 108535503312000 144714004416000 217071006624000 434142013248000
• Sum of all divisors σ(n): 1606338657031680
• Sum of proper divisors (its aliquot sum) s(n): 1172196643783680
• 434142013248000 is an abundant number, because the sum of its proper divisors (1172196643783680) is greater than itself. Its abundance is 738054630535680

Bases of 434142013248000

• Binary: 1100010101101100110010000011110110101001000000000₂
• Hexadecimal: 0x18AD9907B5200
• Base-36: 49W235H1C0

Squares and roots of 434142013248000

• 434142013248000 squared (434142013248000²) is 188479287667026607509504000000
• 434142013248000 cubed (434142013248000³) is 81826777403311868450159581853908992000000000
• The square root of 434142013248000 is 20836074.8042427607
• 434142013248000 is a perfect cube number. Its cube root is 75720

Scales and comparisons

• 434,142,013,248,000 seconds is equal to 13,804,373 years, 6 weeks, 6 days.
• To count from 1 to 434,142,013,248,000 would take you about thirty-four million, five hundred ten thousand, nine hundred thirty-two 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 434142013248000 cubic inches would be around 6310 feet tall.

Recreational maths with 434142013248000

• 434142013248000 backwards is 000842310241434
• 434142013248000 is a Harshad number.
• The number of decimal digits it has is: 15
• The sum of 434142013248000's digits is 36
• More coming soon!