30742985918054400

Names of 30742985918054400

• Cardinal: 30742985918054400 can be written as Thirty quadrillion, seven hundred forty-two trillion, nine hundred eighty-five billion, nine hundred eighteen million, fifty-four thousand, four hundred.

Scientific notation

• Scientific notation: 3.07429859180544 × 10¹⁶

Factors of 30742985918054400

• Number of distinct prime factors ω(n): 5
• Total number of prime factors Ω(n): 23
• Sum of prime factors: 508

Divisors of 30742985918054400

• Number of divisors d(n): 816
• Complete list of divisors:
  1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 32 40 48 50 60 64 75 80 96 97 100 120 128 150 160 192 194 200 240 256 291 300 320 384 388 400 401 480 485 512 582 600 640 768 776 800 802 960 970 1024 1164 1200 1203 1280 1455 1536 1552 1600 1604 1920 1940 2005 2048 2328 2400 2406 2425 2560 2910 3072 3104 3200 3208 3840 3880 4010 4096 4656 4800 4812 4850 5120 5820 6015 6144 6208 6400 6416 7275 7680 7760 8020 8192 9312 9600 9624 9700 10025 10240 11640 12030 12288 12416 12800 12832 14550 15360 15520 16040 16384 18624 19200 19248 19400 20050 20480 23280 24060 24576 24832 25600 25664 29100 30075 30720 31040 32080 32768 37248 38400 38496 38800 38897 40100 40960 46560 48120 49152 49664 51200 51328 58200 60150 61440 62080 64160 65536 74496 76800 76992 77600 77794 80200 81920 93120 96240 98304 99328 102400 102656 116400 116691 120300 122880 124160 128320 148992 153600 153984 155200 155588 160400 160801 163840 186240 192480 194485 196608 198656 204800 205312 232800 233382 240600 245760 248320 256640 297984 307200 307968 310400 311176 320800 321602 327680 372480 384960 388970 397312 409600 410624 465600 466764 481200 482403 491520 496640 513280 583455 595968 614400 615936 620800 622352 641600 643204 744960 769920 777940 794624 804005 819200 821248 931200 933528 962400 964806 972425 983040 993280 1026560 1166910 1191936 1228800 1231872 1241600 1244704 1283200 1286408 1489920 1539840 1555880 1589248 1608010 1638400 1642496 1862400 1867056 1924800 1929612 1944850 1986560 2053120 2333820 2383872 2412015 2457600 2463744 2483200 2489408 2566400 2572816 2917275 2979840 3079680 3111760 3178496 3216020 3284992 3724800 3734112 3849600 3859224 3889700 3973120 4020025 4106240 4667640 4767744 4824030 4915200 4927488 4966400 4978816 5132800 5145632 5834550 5959680 6159360 6223520 6356992 6432040 6569984 7449600 7468224 7699200 7718448 7779400 7946240 8040050 8212480 9335280 9535488 9648060 9854976 9932800 9957632 10265600 10291264 11669100 11919360 12060075 12318720 12447040 12864080 13139968 14899200 14936448 15398400 15436896 15558800 15597697 15892480 16080100 16424960 18670560 19070976 19296120 19709952 19865600 19915264 20531200 20582528 23338200 23838720 24120150 24637440 24894080 25728160 26279936 29798400 29872896 30796800 30873792 31117600 31195394 31784960 32160200 32849920 37341120 38592240 39419904 39731200 39830528 41062400 41165056 46676400 46793091 47677440 48240300 49274880 49788160 51456320 59596800 59745792 61593600 61747584 62235200 62390788 64320400 64481201 65699840 74682240 77184480 77988485 78839808 79462400 79661056 82124800 82330112 93352800 93586182 95354880 96480600 98549760 99576320 102912640 119193600 119491584 123187200 123495168 124470400 124781576 128640800 128962402 131399680 149364480 154368960 155976970 158924800 159322112 164249600 164660224 186705600 187172364 192961200 193443603 197099520 199152640 205825280 233965455 238387200 238983168 246374400 246990336 248940800 249563152 257281600 257924804 298728960 308737920 311953940 318644224 322406005 328499200 329320448 373411200 374344728 385922400 386887206 389942425 394199040 398305280 411650560 467930910 476774400 477966336 492748800 493980672 497881600 499126304 514563200 515849608 597457920 617475840 623907880 637288448 644812010 656998400 658640896 746822400 748689456 771844800 773774412 779884850 796610560 823301120 935861820 955932672 967218015 985497600 987961344 995763200 998252608 1029126400 1031699216 1169827275 1194915840 1234951680 1247815760 1274576896 1289624020 1317281792 1493644800 1497378912 1543689600 1547548824 1559769700 1593221120 1612030025 1646602240 1871723640 1911865344 1934436030 1970995200 1975922688 1991526400 1996505216 2058252800 2063398432 2339654550 2389831680 2469903360 2495631520 2549153792 2579248040 2634563584 2987289600 2994757824 3087379200 3095097648 3119539400 3186442240 3224060050 3293204480 3743447280 3823730688 3868872060 3951845376 3983052800 3993010432 4116505600 4126796864 4679309100 4779663360 4836090075 4939806720 4991263040 5158496080 5269127168 5974579200 5989515648 6174758400 6190195296 6239078800 6254676497 6372884480 6448120100 6586408960 7486894560 7647461376 7737744120 7903690752 7966105600 7986020864 8233011200 8253593728 9358618200 9559326720 9672180150 9879613440 9982526080 10316992160 10538254336 11949158400 11979031296 12349516800 12380390592 12478157600 12509352994 12745768960 12896240200 13172817920 14973789120 15475488240 15807381504 15932211200 15972041728 16466022400 16507187456 18717236400 18764029491 19118653440 19344360300 19759226880 19965052160 20633984320 23898316800 23958062592 24699033600 24760781184 24956315200 25018705988 25792480400 26345635840 29947578240 30950976480 31273382485 31614763008 31864422400 31944083456 32932044800 33014374912 37434472800 37528058982 38237306880 38688720600 39518453760 39930104320 41267968640 47796633600 47916125184 49398067200 49521562368 49912630400 50037411976 51584960800 52691271680 59895156480 61901952960 62546764970 63728844800 63888166912 65864089600 66028749824 74868945600 75056117964 77377441200 79036907520 79860208640 82535937280 93820147455 95593267200 95832250368 98796134400 99043124736 99825260800 100074823952 103169921600 119790312960 123803905920 125093529940 127776333824 131728179200 132057499648 149737891200 150112235928 154754882400 156366912425 158073815040 159720417280 165071874560 187640294910 191186534400 191664500736 197592268800 198086249472 199650521600 200149647904 206339843200 239580625920 247607811840 250187059880 255552667648 263456358400 264114999296 299475782400 300224471856 309509764800 312733824850 319440834560 330143749120 375280589820 383329001472 395184537600 396172498944 399301043200 400299295808 412679686400 469100737275 479161251840 495215623680 500374119760 511105335296 528229998592 598951564800 600448943712 619019529600 625467649700 638881669120 660287498240 750561179640 766658002944 790369075200 792344997888 798602086400 800598591616 825359372800 938201474550 958322503680 990431247360 1000748239520 1022210670592 1056459997184 1197903129600 1200897887424 1238039059200 1250935299400 1277763338240 1320574996480 1501122359280 1533316005888 1584689995776 1597204172800 1601197183232 1650718745600 1876402949100 1916645007360 1980862494720 2001496479040 2112919994368 2395806259200 2401795774848 2476078118400 2501870598800 2555526676480 2641149992960 3002244718560 3066632011776 3169379991552 3194408345600 3202394366464 3301437491200 3752805898200 3833290014720 3961724989440 4002992958080 4225839988736 4791612518400 4803591549696 4952156236800 5003741197600 5111053352960 5282299985920 6004489437120 6338759983104 6388816691200 6404788732928 6602874982400 7505611796400 7666580029440 7923449978880 8005985916160 9583225036800 9607183099392 9904312473600 10007482395200 10564599971840 12008978874240 12677519966208 12777633382400 12809577465856 13205749964800 15011223592800 15333160058880 15846899957760 16011971832320 19166450073600 19214366198784 19808624947200 20014964790400 21129199943680 24017957748480 25555266764800 25619154931712 26411499929600 30022447185600 31693799915520 32023943664640 38332900147200 38428732397568 39617249894400 40029929580800 48035915496960 51238309863424 52822999859200 60044894371200 63387599831040 64047887329280 76665800294400 76857464795136 79234499788800 80059859161600 96071830993920 102476619726848 105645999718400 120089788742400 128095774658560 153714929590272 158468999577600 160119718323200 192143661987840 204953239453696 240179577484800 256191549317120 307429859180544 316937999155200 320239436646400 384287323975680 409906478907392 480359154969600 512383098634240 614859718361088 640478873292800 768574647951360 960718309939200 1024766197268480 1229719436722176 1280957746585600 1537149295902720 1921436619878400 2049532394536960 2561915493171200 3074298591805440 3842873239756800 5123830986342400 6148597183610880 7685746479513600 10247661972684800 15371492959027200 30742985918054400
• Sum of all divisors σ(n): 102960791585479968
• Sum of proper divisors (its aliquot sum) s(n): 72217805667425568
• 30742985918054400 is an abundant number, because the sum of its proper divisors (72217805667425568) is greater than itself. Its abundance is 41474819749371168

Bases of 30742985918054400

• Binary: 1101101001110001001010100110010111110110000000000000000₂
• Hexadecimal: 0x6D389532FB0000
• Base-36: 8EPH8RB8H6O

Squares and roots of 30742985918054400

• 30742985918054400 squared (30742985918054400²) is 945131183157691139591881359360000
• 30742985918054400 cubed (30742985918054400³) is 29056154654530992614230359295924975838429184000000
• The square root of 30742985918054400 is 175336778.5664331179
• The cube root of 30742985918054400 is 313267.5053839767

Scales and comparisons

• 30,742,985,918,054,400 seconds is equal to 977,531,857 years, 46 weeks, 3 days, 18 hours, 40 minutes.
• To count from 1 to 30,742,985,918,054,400 would take you about two billion, nine hundred thirty-two million, five hundred ninety-five thousand, five hundred seventy-three 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 30742985918054400 cubic inches would be around 26105.6 feet tall.

Recreational maths with 30742985918054400

• 30742985918054400 backwards is 00445081958924703
• The number of decimal digits it has is: 17
• The sum of 30742985918054400's digits is 69
• More coming soon!