42053979340800
42,053,979,340,800 is an even composite number composed of five prime numbers multiplied together.
What does the number 42053979340800 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 1152 divisors.
42053979340800 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one thousand, one hundred fifty-two divisors.
Prime factorization of 42053979340800:
223 × 33 × 52 × 7 × 1061
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 5 × 5 × 7 × 1061)See below for interesting mathematical facts about the number 42053979340800 from the Numbermatics database.
Names of 42053979340800
- Cardinal: 42053979340800 can be written as Forty-two trillion, fifty-three billion, nine hundred seventy-nine million, three hundred forty thousand, eight hundred.
Scientific notation
- Scientific notation: 4.20539793408 × 1013
Factors of 42053979340800
Divisors of 42053979340800
- Number of divisors d(n): 1152
-
Complete list of divisors:
1 2 3 4 5 6 7 8 9 10 12 14 15 16 18 20 21 24 25 27 28 30 32 35 36 40 42 45 48 50 54 56 60 63 64 70 72 75 80 84 90 96 100 105 108 112 120 126 128 135 140 144 150 160 168 175 180 189 192 200 210 216 224 225 240 252 256 270 280 288 300 315 320 336 350 360 378 384 400 420 432 448 450 480 504 512 525 540 560 576 600 630 640 672 675 700 720 756 768 800 840 864 896 900 945 960 1008 1024 1050 1061 1080 1120 1152 1200 1260 1280 1344 1350 1400 1440 1512 1536 1575 1600 1680 1728 1792 1800 1890 1920 2016 2048 2100 2122 2160 2240 2304 2400 2520 2560 2688 2700 2800 2880 3024 3072 3150 3183 3200 3360 3456 3584 3600 3780 3840 4032 4096 4200 4244 4320 4480 4608 4725 4800 5040 5120 5305 5376 5400 5600 5760 6048 6144 6300 6366 6400 6720 6912 7168 7200 7427 7560 7680 8064 8192 8400 8488 8640 8960 9216 9450 9549 9600 10080 10240 10610 10752 10800 11200 11520 12096 12288 12600 12732 12800 13440 13824 14336 14400 14854 15120 15360 15915 16128 16384 16800 16976 17280 17920 18432 18900 19098 19200 20160 20480 21220 21504 21600 22281 22400 23040 24192 24576 25200 25464 25600 26525 26880 27648 28647 28672 28800 29708 30240 30720 31830 32256 32768 33600 33952 34560 35840 36864 37135 37800 38196 38400 40320 40960 42440 43008 43200 44562 44800 46080 47745 48384 49152 50400 50928 51200 53050 53760 55296 57294 57344 57600 59416 60480 61440 63660 64512 65536 66843 67200 67904 69120 71680 73728 74270 75600 76392 76800 79575 80640 81920 84880 86016 86400 89124 89600 92160 95490 96768 98304 100800 101856 102400 106100 107520 110592 111405 114588 114688 115200 118832 120960 122880 127320 129024 131072 133686 134400 135808 138240 143235 143360 147456 148540 151200 152784 153600 159150 161280 163840 169760 172032 172800 178248 179200 184320 185675 190980 193536 196608 200529 201600 203712 204800 212200 215040 221184 222810 229176 229376 230400 237664 238725 241920 245760 254640 258048 262144 267372 268800 271616 276480 286470 286720 294912 297080 302400 305568 307200 318300 322560 327680 334215 339520 344064 345600 356496 358400 368640 371350 381960 387072 393216 401058 403200 407424 409600 424400 430080 442368 445620 458352 458752 460800 475328 477450 483840 491520 509280 516096 524288 534744 537600 543232 552960 557025 572940 573440 589824 594160 604800 611136 614400 636600 645120 655360 668430 679040 688128 691200 712992 716175 716800 737280 742700 763920 774144 786432 802116 806400 814848 819200 848800 860160 884736 891240 916704 917504 921600 950656 954900 967680 983040 1002645 1018560 1032192 1048576 1069488 1075200 1086464 1105920 1114050 1145880 1146880 1179648 1188320 1209600 1222272 1228800 1273200 1290240 1310720 1336860 1358080 1376256 1382400 1425984 1432350 1433600 1474560 1485400 1527840 1548288 1572864 1604232 1612800 1629696 1638400 1671075 1697600 1720320 1769472 1782480 1833408 1835008 1843200 1901312 1909800 1935360 1966080 2005290 2037120 2064384 2097152 2138976 2150400 2172928 2211840 2228100 2291760 2293760 2359296 2376640 2419200 2444544 2457600 2546400 2580480 2621440 2673720 2716160 2752512 2764800 2851968 2864700 2867200 2949120 2970800 3055680 3096576 3145728 3208464 3225600 3259392 3276800 3342150 3395200 3440640 3538944 3564960 3666816 3670016 3686400 3802624 3819600 3870720 3932160 4010580 4074240 4128768 4194304 4277952 4300800 4345856 4423680 4456200 4583520 4587520 4718592 4753280 4838400 4889088 4915200 5013225 5092800 5160960 5242880 5347440 5432320 5505024 5529600 5703936 5729400 5734400 5898240 5941600 6111360 6193152 6291456 6416928 6451200 6518784 6553600 6684300 6790400 6881280 7077888 7129920 7333632 7340032 7372800 7605248 7639200 7741440 7864320 8021160 8148480 8257536 8388608 8555904 8601600 8691712 8847360 8912400 9167040 9175040 9437184 9506560 9676800 9778176 9830400 10026450 10185600 10321920 10485760 10694880 10864640 11010048 11059200 11407872 11458800 11468800 11796480 11883200 12222720 12386304 12582912 12833856 12902400 13037568 13107200 13368600 13580800 13762560 14155776 14259840 14667264 14680064 14745600 15210496 15278400 15482880 15728640 16042320 16296960 16515072 17111808 17203200 17383424 17694720 17824800 18334080 18350080 18874368 19013120 19353600 19556352 19660800 20052900 20371200 20643840 20971520 21389760 21729280 22020096 22118400 22815744 22917600 22937600 23592960 23766400 24445440 24772608 25165824 25667712 25804800 26075136 26214400 26737200 27161600 27525120 28311552 28519680 29334528 29360128 29491200 30420992 30556800 30965760 31457280 32084640 32593920 33030144 34223616 34406400 34766848 35389440 35649600 36668160 36700160 37748736 38026240 38707200 39112704 39321600 40105800 40742400 41287680 41943040 42779520 43458560 44040192 44236800 45631488 45835200 45875200 47185920 47532800 48890880 49545216 51335424 51609600 52150272 52428800 53474400 54323200 55050240 56623104 57039360 58669056 58720256 58982400 60841984 61113600 61931520 62914560 64169280 65187840 66060288 68447232 68812800 69533696 70778880 71299200 73336320 73400320 75497472 76052480 77414400 78225408 78643200 80211600 81484800 82575360 85559040 86917120 88080384 88473600 91262976 91670400 91750400 94371840 95065600 97781760 99090432 102670848 103219200 104300544 104857600 106948800 108646400 110100480 113246208 114078720 117338112 117964800 121683968 122227200 123863040 125829120 128338560 130375680 132120576 136894464 137625600 139067392 141557760 142598400 146672640 146800640 152104960 154828800 156450816 157286400 160423200 162969600 165150720 171118080 173834240 176160768 176947200 182525952 183340800 183500800 188743680 190131200 195563520 198180864 205341696 206438400 208601088 209715200 213897600 217292800 220200960 226492416 228157440 234676224 235929600 243367936 244454400 247726080 256677120 260751360 264241152 273788928 275251200 278134784 283115520 285196800 293345280 293601280 304209920 309657600 312901632 314572800 320846400 325939200 330301440 342236160 347668480 353894400 365051904 366681600 367001600 377487360 380262400 391127040 396361728 410683392 412876800 417202176 427795200 434585600 440401920 456314880 469352448 471859200 486735872 488908800 495452160 513354240 521502720 528482304 547577856 550502400 556269568 566231040 570393600 586690560 608419840 619315200 625803264 629145600 641692800 651878400 660602880 684472320 695336960 707788800 730103808 733363200 734003200 760524800 782254080 792723456 821366784 825753600 834404352 855590400 869171200 880803840 912629760 938704896 943718400 973471744 977817600 990904320 1026708480 1043005440 1095155712 1101004800 1112539136 1132462080 1140787200 1173381120 1216839680 1238630400 1251606528 1283385600 1303756800 1321205760 1368944640 1390673920 1415577600 1460207616 1466726400 1468006400 1521049600 1564508160 1585446912 1642733568 1651507200 1668808704 1711180800 1738342400 1825259520 1877409792 1887436800 1946943488 1955635200 1981808640 2053416960 2086010880 2190311424 2202009600 2225078272 2281574400 2346762240 2433679360 2477260800 2503213056 2566771200 2607513600 2642411520 2737889280 2781347840 2831155200 2920415232 2933452800 3042099200 3129016320 3285467136 3303014400 3337617408 3422361600 3476684800 3650519040 3754819584 3893886976 3911270400 3963617280 4106833920 4172021760 4380622848 4404019200 4450156544 4563148800 4693524480 4867358720 4954521600 5006426112 5133542400 5215027200 5475778560 5562695680 5662310400 5840830464 5866905600 6084198400 6258032640 6570934272 6606028800 6675234816 6844723200 6953369600 7301038080 7509639168 7787773952 7822540800 7927234560 8213667840 8344043520 8761245696 8900313088 9126297600 9387048960 9734717440 9909043200 10012852224 10267084800 10430054400 10951557120 11125391360 11681660928 11733811200 12168396800 12516065280 13141868544 13212057600 13350469632 13689446400 13906739200 14602076160 15019278336 15575547904 15645081600 16427335680 16688087040 17522491392 18252595200 18774097920 19469434880 19818086400 20025704448 20534169600 20860108800 21903114240 22250782720 23363321856 23467622400 24336793600 25032130560 26283737088 26700939264 27378892800 27813478400 29204152320 30038556672 31151095808 31290163200 32854671360 33376174080 35044982784 36505190400 37548195840 38938869760 39636172800 40051408896 41068339200 41720217600 43806228480 44501565440 46726643712 46935244800 48673587200 50064261120 52567474176 54757785600 55626956800 58408304640 60077113344 62302191616 62580326400 65709342720 66752348160 70089965568 73010380800 75096391680 77877739520 80102817792 82136678400 83440435200 87612456960 93453287424 93870489600 97347174400 100128522240 105134948352 109515571200 111253913600 116816609280 120154226688 125160652800 131418685440 133504696320 140179931136 146020761600 150192783360 155755479040 164273356800 166880870400 175224913920 186906574848 187740979200 194694348800 200257044480 210269896704 219031142400 222507827200 233633218560 240308453376 250321305600 262837370880 280359862272 292041523200 300385566720 311510958080 328546713600 333761740800 350449827840 375481958400 389388697600 400514088960 420539793408 438062284800 467266437120 500642611200 525674741760 560719724544 584083046400 600771133440 657093427200 667523481600 700899655680 750963916800 778777395200 841079586816 876124569600 934532874240 1001285222400 1051349483520 1168166092800 1201542266880 1314186854400 1401799311360 1501927833600 1557554790400 1682159173632 1752249139200 2002570444800 2102698967040 2336332185600 2628373708800 2803598622720 3003855667200 3504498278400 4205397934080 4672664371200 5256747417600 6007711334400 7008996556800 8410795868160 10513494835200 14017993113600 21026989670400 42053979340800
- Sum of all divisors σ(n): 176748631113600
- Sum of proper divisors (its aliquot sum) s(n): 134694651772800
- 42053979340800 is an abundant number, because the sum of its proper divisors (134694651772800) is greater than itself. Its abundance is 92640672432000
Bases of 42053979340800
- Binary: 10011000111111011101001000000000000000000000002
- Hexadecimal: 0x263F74800000
- Base-36: EWNBXHXC0
Squares and roots of 42053979340800
- 42053979340800 squared (420539793408002) is 1768537178396433202544640000
- 42053979340800 cubed (420539793408003) is 74374025963720325972219472549773312000000
-
The
square root of 42053979340800 is 6484903.9577159505 -
The
cube root of 42053979340800 is 34775.1516314513
Scales and comparisons
How big is 42053979340800?- 42,053,979,340,800 seconds is equal to 1,337,186 years, 24 weeks.
-
To count from 1 to 42,053,979,340,800 would take you about three million, three hundred forty-two thousand, nine hundred sixty-six 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 42053979340800 cubic inches would be around 2897.9 feet tall.
Recreational maths with 42053979340800
- 42053979340800 backwards is 00804397935024
- 42053979340800 is a
Harshad number . - The number of decimal digits it has is: 14
- The sum of 42053979340800's digits is 54
- More coming soon!
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The information we have on file for 42053979340800 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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