45072424384000
45,072,424,384,000 is an even composite number composed of six prime numbers multiplied together.
45072424384000 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one thousand, four hundred forty divisors.
Prime factorization of 45072424384000:
29 × 53 × 132 × 37 × 412 × 67
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 5 × 13 × 13 × 37 × 41 × 41 × 67)See below for interesting mathematical facts about the number 45072424384000 from the Numbermatics database.
Names of 45072424384000
- Cardinal: 45072424384000 can be written as Forty-five trillion, seventy-two billion, four hundred twenty-four million, three hundred eighty-four thousand.
Scientific notation
- Scientific notation: 4.5072424384 × 1013
Factors of 45072424384000
Divisors of 45072424384000
- Number of divisors d(n): 1440
-
Complete list of divisors:
1 2 4 5 8 10 13 16 20 25 26 32 37 40 41 50 52 64 65 67 74 80 82 100 104 125 128 130 134 148 160 164 169 185 200 205 208 250 256 260 268 296 320 325 328 335 338 370 400 410 416 481 500 512 520 533 536 592 640 650 656 670 676 740 800 820 832 845 871 925 962 1000 1025 1040 1066 1072 1184 1280 1300 1312 1340 1352 1480 1517 1600 1625 1640 1664 1675 1681 1690 1742 1850 1924 2000 2050 2080 2132 2144 2368 2405 2479 2560 2600 2624 2665 2680 2704 2747 2960 3034 3200 3250 3280 3328 3350 3362 3380 3484 3700 3848 4000 4100 4160 4225 4264 4288 4355 4625 4736 4810 4958 5125 5200 5248 5330 5360 5408 5494 5920 6068 6253 6400 6500 6560 6656 6700 6724 6760 6929 6968 7400 7585 7696 8000 8200 8320 8375 8405 8450 8528 8576 8710 9250 9472 9620 9916 10250 10400 10496 10660 10720 10816 10988 11323 11840 12025 12136 12395 12506 12800 13000 13120 13325 13400 13448 13520 13735 13858 13936 14800 15170 15392 16000 16400 16640 16750 16810 16900 17056 17152 17420 18500 18944 19240 19721 19832 20500 20800 20992 21125 21320 21440 21632 21775 21853 21976 22646 23680 24050 24272 24790 25012 26000 26240 26650 26800 26896 27040 27470 27716 27872 29600 30340 30784 31265 32000 32227 32800 33280 33500 33620 33800 34112 34304 34645 34840 35711 37000 37925 38480 39442 39664 41000 41600 42025 42250 42640 42880 43264 43550 43706 43952 45292 47360 48100 48544 49580 50024 52000 52480 53300 53600 53792 54080 54940 55432 55744 56615 59200 60125 60680 61568 61975 62197 62530 64000 64454 65600 66625 67000 67240 67600 68224 68675 69290 69680 71422 74000 75850 76960 78884 79328 82000 83200 84050 84500 85280 85760 86528 87100 87412 87904 90584 94720 96200 97088 98605 99160 100048 101639 104000 104960 106600 107200 107584 108160 108875 109265 109880 110864 111488 112627 113230 118400 120250 121360 123136 123950 124394 125060 128908 131200 133250 134000 134480 135200 136448 137350 138580 139360 142844 148000 151700 153920 156325 157768 158656 161135 164000 166400 168100 169000 170560 171520 173225 174200 174824 175808 178555 181168 189625 192400 194176 197210 198320 200096 203278 208000 210125 213200 214400 215168 216320 217750 218530 219760 221728 222976 225254 226460 236800 240500 242720 246272 247900 248788 250120 256373 257816 262400 266500 268000 268960 270400 272896 274700 277160 278720 283075 284089 285688 296000 303400 307840 309875 310985 312650 315536 317312 322270 328000 336200 338000 341120 343375 346450 348400 349648 351616 357110 362336 379250 384800 388352 394420 396640 400192 406556 416000 418951 420250 426400 428800 430336 432640 435500 437060 439520 443456 445952 450508 452920 464243 473600 481000 485440 493025 495800 497576 500240 508195 512746 515632 524800 533000 536000 537920 540800 546325 549400 554320 557440 563135 566150 568178 571376 592000 606800 615680 619750 621970 625300 631072 634624 644540 656000 672400 676000 682240 686750 692900 696800 699296 703232 714220 724672 758500 769600 776704 781625 788840 793280 800384 805675 808561 813112 832000 837902 840500 852800 857600 860672 866125 871000 874120 879040 886912 892775 901016 905840 928486 962000 970880 986050 991600 995152 1000480 1016390 1025492 1031264 1066000 1072000 1075840 1081600 1092650 1098800 1108640 1114880 1126270 1132300 1136356 1142752 1184000 1213600 1231360 1239500 1243940 1250600 1262144 1269248 1281865 1289080 1312000 1321307 1344800 1352000 1364480 1373500 1385800 1393600 1398592 1406464 1415375 1420445 1428440 1449344 1464151 1517000 1539200 1554925 1563250 1577680 1586560 1600768 1611350 1617122 1626224 1675804 1681000 1705600 1732250 1742000 1748240 1758080 1773824 1785550 1802032 1811680 1856972 1924000 1941760 1972100 1983200 1990304 2000960 2032780 2050984 2062528 2094755 2132000 2144000 2151680 2163200 2185300 2197600 2217280 2229760 2252540 2264600 2272712 2285504 2321215 2368000 2427200 2465125 2479000 2487880 2501200 2524288 2540975 2563730 2578160 2624000 2642614 2689600 2704000 2731625 2747000 2771600 2787200 2797184 2815675 2830750 2840890 2856880 2898688 2928302 3034000 3078400 3109850 3126500 3155360 3173120 3201536 3222700 3234244 3252448 3351608 3362000 3411200 3464500 3484000 3496480 3516160 3547648 3571100 3604064 3623360 3713944 3848000 3883520 3944200 3966400 3980608 4001920 4028375 4042805 4065560 4101968 4125056 4167199 4189510 4264000 4288000 4303360 4370600 4395200 4434560 4463875 4505080 4529200 4545424 4571008 4642430 4854400 4930250 4958000 4975760 5002400 5048576 5081950 5127460 5156320 5285228 5379200 5408000 5463250 5494000 5543200 5574400 5594368 5631350 5661500 5681780 5713760 5797376 5856604 6068000 6156800 6219700 6253000 6310720 6346240 6409325 6445400 6468488 6504896 6606535 6703216 6724000 6822400 6929000 6968000 6992960 7032320 7102225 7142200 7208128 7246720 7320755 7427888 7696000 7774625 7888400 7932800 7961216 8003840 8056750 8085610 8131120 8203936 8250112 8334398 8379020 8528000 8741200 8790400 8869120 8927750 9010160 9058400 9090848 9142016 9284860 9708800 9860500 9916000 9951520 10004800 10097152 10163900 10254920 10312640 10473775 10511293 10570456 10758400 10816000 10926500 10988000 11086400 11148800 11188736 11262700 11323000 11363560 11427520 11606075 11713208 12136000 12439400 12506000 12621440 12704875 12818650 12890800 12936976 13009792 13213070 13406432 13448000 13858000 13936000 13985920 14078375 14204450 14284400 14416256 14493440 14641510 14855776 15392000 15549250 15776800 15865600 15922432 16007680 16113500 16171220 16262240 16407872 16500224 16668796 16758040 17056000 17176991 17482400 17580800 17738240 17855500 18020320 18116800 18181696 18284032 18569720 19033963 19417600 19721000 19832000 19903040 20009600 20214025 20327800 20509840 20625280 20835995 20947550 21022586 21140912 21516800 21853000 21976000 22172800 22525400 22646000 22727120 22855040 23212150 23426416 24272000 24878800 25012000 25242880 25409750 25637300 25781600 25873952 26019584 26426140 26812864 26896000 27716000 27872000 27971840 28156750 28408900 28568800 28832512 28986880 29283020 29711552 30784000 31098500 31553600 31731200 31844864 32046625 32227000 32342440 32524480 32815744 33032675 33337592 33516080 34112000 34353982 34964800 35161600 35511125 35711000 36040640 36233600 36363392 36603775 37139440 38067926 39442000 39664000 39806080 40019200 40428050 40655600 41019680 41250560 41671990 41895100 42045172 42281824 43706000 43952000 44345600 45050800 45292000 45454240 45710080 46424300 46852832 48544000 49757600 50024000 50485760 50819500 51274600 51563200 51747904 52039168 52368875 52556465 52852280 53625728 53792000 54173587 55432000 55744000 55943680 56313500 56817800 57137600 57665024 58030375 58566040 59423104 62197000 63107200 64093250 64454000 64684880 65048960 65631488 66065350 66675184 67032160 68707964 69929600 71022250 71422000 72081280 72467200 72726784 73207550 74278880 76135852 78884000 79328000 79612160 80038400 80856100 81311200 82039360 82501120 83343980 83790200 84090344 84563648 85884955 87412000 87904000 88691200 90101600 90584000 90908480 91420160 92848600 93705664 95169815 97088000 99515200 100048000 101070125 101639000 102549200 103126400 103495808 104179975 104737750 105112930 105704560 107251456 107584000 108347174 110864000 112627000 113635600 114275200 116060750 117132080 118846208 124394000 126214400 128186500 128908000 129369760 130097920 131262976 132130700 133350368 134064320 137415928 139859200 142044500 142844000 144162560 144934400 145453568 146415100 148557760 152271704 157768000 158656000 159224320 161712200 162622400 164078720 165163375 166687960 167580400 168180688 169127296 171769910 174824000 175808000 180203200 181168000 181816960 183018875 185697200 187411328 190339630 199030400 200096000 202140250 203278000 205098400 206252800 206991616 208359950 209475500 210225860 211409120 214502912 216694348 221728000 225254000 227271200 228550400 232121500 234264160 237692416 248788000 252428800 256373000 257816000 258739520 260195840 262782325 264261400 266700736 268128640 270867935 274831856 279718400 284089000 285688000 288325120 292830200 297115520 304543408 315536000 323424400 325244800 328157440 330326750 333375920 335160800 336361376 338254592 343539820 349648000 360406400 362336000 363633920 366037750 371394400 374822656 380679260 398060800 400192000 404280500 406556000 410196800 412505600 413983232 416719900 418951000 420451720 422818240 429424775 433388696 443456000 450508000 454542400 457100800 464243000 468528320 475849075 497576000 512746000 515632000 517479040 520899875 525564650 528522800 533401472 536257280 541735870 549663712 568178000 571376000 585660400 594231040 609086816 631072000 646848800 650489600 656314880 660653500 666751840 670321600 672722752 676509184 687079640 699296000 704256631 720812800 724672000 727267840 732075500 742788800 749645312 761358520 796121600 808561000 813112000 820393600 833439800 837902000 840903440 845636480 858849550 866777392 901016000 909084800 928486000 937056640 951698150 995152000 1025492000 1031264000 1034958080 1041799750 1051129300 1057045600 1066802944 1072514560 1083471740 1099327424 1136356000 1142752000 1171320800 1188462080 1218173632 1262144000 1293697600 1300979200 1313911625 1321307000 1333503680 1340643200 1345445504 1354339675 1374159280 1398592000 1408513262 1441625600 1464151000 1485577600 1522717040 1617122000 1626224000 1640787200 1666879600 1675804000 1681806880 1691272960 1717699100 1733554784 1802032000 1818169600 1856972000 1874113280 1903396300 1990304000 2050984000 2062528000 2069916160 2083599500 2102258600 2114091200 2133605888 2147123875 2166943480 2198654848 2272712000 2285504000 2342641600 2379245375 2436347264 2587395200 2627823250 2642614000 2667007360 2681286400 2690891008 2708679350 2748318560 2817026524 2928302000 2971155200 3045434080 3234244000 3252448000 3281574400 3333759200 3351608000 3363613760 3382545920 3435398200 3467109568 3521283155 3604064000 3636339200 3713944000 3748226560 3806792600 3980608000 4101968000 4167199000 4204517200 4228182400 4294247750 4333886960 4397309696 4545424000 4685283200 4758490750 4872694528 5174790400 5255646500 5285228000 5334014720 5362572800 5381782016 5417358700 5496637120 5634053048 5856604000 5942310400 6090868160 6468488000 6504896000 6667518400 6703216000 6727227520 6771698375 6870796400 6934219136 7042566310 7208128000 7427888000 7613585200 8203936000 8334398000 8409034400 8456364800 8588495500 8667773920 8794619392 9090848000 9370566400 9516981500 9745389056 10349580800 10511293000 10570456000 10668029440 10834717400 10993274240 11268106096 11713208000 12181736320 12936976000 13335036800 13406432000 13454455040 13543396750 13741592800 13868438272 14085132620 14855776000 15227170400 16407872000 16668796000 16818068800 16912729600 17176991000 17335547840 17606415775 18181696000 18741132800 19033963000 21022586000 21140912000 21669434800 21986548480 22536212192 23426416000 24363472640 25873952000 26670073600 26812864000 26908910080 27086793500 27483185600 27736876544 28170265240 29711552000 30454340800 33337592000 33636137600 34353982000 34671095680 35212831550 38067926000 42045172000 42281824000 43338869600 43973096960 45072424384 46852832000 48726945280 51747904000 53340147200 54173587000 54966371200 56340530480 60908681600 66675184000 67272275200 68707964000 69342191360 70425663100 76135852000 84090344000 84563648000 86677739200 88032078875 90144848768 93705664000 108347174000 109932742400 112681060960 121817363200 133350368000 134544550400 137415928000 138684382720 140851326200 152271704000 168180688000 173355478400 176064157750 180289697536 216694348000 219865484800 225362121920 243634726400 266700736000 274831856000 281702652400 304543408000 336361376000 346710956800 352128315500 360579395072 433388696000 450724243840 549663712000 563405304800 609086816000 672722752000 693421913600 704256631000 866777392000 901448487680 1099327424000 1126810609600 1218173632000 1408513262000 1733554784000 1802896975360 2253621219200 2817026524000 3467109568000 4507242438400 5634053048000 9014484876800 11268106096000 22536212192000 45072424384000
- Sum of all divisors σ(n): 130025672476128
- Sum of proper divisors (its aliquot sum) s(n): 84953248092128
- 45072424384000 is an abundant number, because the sum of its proper divisors (84953248092128) is greater than itself. Its abundance is 39880823708128
Bases of 45072424384000
- Binary: 10100011111110001111011101100000110110000000002
- Hexadecimal: 0x28FE3DD83600
- Base-36: FZ5ZHQQKG
Squares and roots of 45072424384000
- 45072424384000 squared (450724243840002) is 2031523439851397779456000000
- 45072424384000 cubed (450724243840003) is 91565686627025698611236068655104000000000
-
The
square root of 45072424384000 is 6713599.9571020017 -
The
cube root of 45072424384000 is 35588.0047286339
Scales and comparisons
How big is 45072424384000?- 45,072,424,384,000 seconds is equal to 1,433,163 years, 35 weeks, 1 day, 12 hours, 26 minutes, 40 seconds.
-
To count from 1 to 45,072,424,384,000 would take you about three million, five hundred eighty-two thousand, nine hundred 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 45072424384000 cubic inches would be around 2965.7 feet tall.
Recreational maths with 45072424384000
- 45072424384000 backwards is 00048342427054
- The number of decimal digits it has is: 14
- The sum of 45072424384000's digits is 43
- More coming soon!
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The information we have on file for 45072424384000 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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