45427223424000
45,427,223,424,000 is an even composite number composed of six prime numbers multiplied together.
What does the number 45427223424000 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 2112 divisors.
45427223424000 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of two thousand, one hundred twelve divisors.
Prime factorization of 45427223424000:
210 × 3 × 53 × 11 × 192 × 313
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 5 × 5 × 11 × 19 × 19 × 31 × 31 × 31)See below for interesting mathematical facts about the number 45427223424000 from the Numbermatics database.
Names of 45427223424000
- Cardinal: 45427223424000 can be written as Forty-five trillion, four hundred twenty-seven billion, two hundred twenty-three million, four hundred twenty-four thousand.
Scientific notation
- Scientific notation: 4.5427223424 × 1013
Factors of 45427223424000
Divisors of 45427223424000
- Number of divisors d(n): 2112
-
Complete list of divisors:
1 2 3 4 5 6 8 10 11 12 15 16 19 20 22 24 25 30 31 32 33 38 40 44 48 50 55 57 60 62 64 66 75 76 80 88 93 95 96 100 110 114 120 124 125 128 132 150 152 155 160 165 176 186 190 192 200 209 220 228 240 248 250 256 264 275 285 300 304 310 320 330 341 352 361 372 375 380 384 400 418 440 456 465 475 480 496 500 512 528 550 570 589 600 608 620 627 640 660 682 704 722 744 750 760 768 775 800 825 836 880 912 930 950 960 961 992 1000 1023 1024 1045 1056 1083 1100 1140 1178 1200 1216 1240 1254 1280 1320 1364 1375 1408 1425 1444 1488 1500 1520 1536 1550 1600 1650 1672 1705 1760 1767 1805 1824 1860 1900 1920 1922 1984 2000 2046 2090 2112 2166 2200 2280 2325 2356 2375 2400 2432 2480 2508 2560 2640 2728 2750 2816 2850 2883 2888 2945 2976 3000 3040 3072 3100 3135 3200 3300 3344 3410 3520 3534 3610 3648 3720 3800 3840 3844 3875 3968 3971 4000 4092 4125 4180 4224 4332 4400 4560 4650 4712 4750 4800 4805 4864 4960 5016 5115 5120 5225 5280 5415 5456 5500 5632 5700 5766 5776 5890 5952 6000 6080 6200 6270 6400 6479 6600 6688 6820 7040 7068 7125 7220 7296 7440 7600 7680 7688 7750 7936 7942 8000 8184 8250 8360 8448 8525 8664 8800 8835 9025 9120 9300 9424 9500 9600 9610 9728 9920 10032 10230 10450 10560 10571 10830 10912 11000 11191 11264 11400 11532 11552 11625 11780 11904 11913 12000 12160 12400 12540 12800 12958 13200 13376 13640 14080 14136 14250 14415 14440 14592 14725 14880 15200 15360 15376 15500 15675 15872 15884 16000 16368 16500 16720 16896 17050 17328 17600 17670 18050 18240 18259 18600 18848 19000 19200 19220 19437 19456 19840 19855 20064 20460 20900 21120 21142 21660 21824 22000 22382 22800 23064 23104 23250 23560 23808 23826 24000 24025 24320 24800 25080 25575 25600 25916 26125 26400 26752 27075 27280 28160 28272 28500 28830 28880 29184 29450 29760 29791 30400 30752 31000 31350 31713 31744 31768 32000 32395 32736 33000 33440 33573 33792 34100 34656 35200 35340 36100 36480 36518 37200 37696 38000 38400 38440 38874 39680 39710 40128 40920 41800 42240 42284 42625 43320 43648 44000 44175 44764 45125 45600 46128 46208 46500 47120 47616 47652 48000 48050 48640 49600 50160 51150 51832 52250 52800 52855 53504 54150 54560 54777 55955 56320 56544 57000 57660 57760 58368 58900 59520 59565 59582 60800 61504 62000 62700 63426 63536 64000 64790 65472 66000 66880 67146 68200 69312 70400 70680 72075 72200 72960 73036 73625 74400 75392 76000 76800 76880 77748 78375 79360 79420 80256 81840 83600 84480 84568 85250 86640 87296 88000 88350 89373 89528 90250 91200 91295 92256 92416 93000 94240 95232 95304 96000 96100 97185 97280 99200 99275 100320 102300 103664 104500 105600 105710 107008 108300 109120 109554 111910 113088 114000 115320 115520 117800 119040 119130 119164 120125 121600 123008 123101 124000 125400 126852 127072 127875 128000 129580 130944 132000 133760 134292 135375 136400 138624 140800 141360 144150 144400 145920 146072 147250 148800 148955 150784 152000 153760 155496 156750 158565 158720 158840 160512 161975 163680 167200 167865 168960 169136 170500 173280 174592 176000 176700 178746 179056 180500 182400 182590 184512 184832 186000 188480 190608 192000 192200 194370 198400 198550 200640 200849 204600 207328 209000 211200 211420 214016 216600 218240 219108 220875 223820 226176 228000 230640 231040 235600 238080 238260 238328 240250 243200 246016 246202 248000 250800 253704 254144 255750 259160 261888 264000 264275 267520 268584 270750 272800 273885 277248 279775 281600 282720 288300 288800 291840 292144 294500 297600 297825 297910 301568 304000 307520 310992 313500 317130 317680 321024 323950 327360 327701 334400 335730 338272 341000 346560 346921 349184 352000 353400 357492 358112 360375 361000 364800 365180 369024 369303 369664 372000 376960 381216 384000 384400 388740 396800 397100 401280 401698 409200 414656 418000 422400 422840 433200 436480 438216 441750 446865 447640 452352 456000 456475 461280 462080 471200 476160 476520 476656 480500 485925 486400 492032 492404 496000 496375 501600 507408 508288 511500 518320 523776 528000 528550 535040 537168 541500 545600 547770 554496 559550 565440 566029 576600 577600 584288 589000 595200 595650 595820 602547 603136 608000 615040 615505 621984 627000 634260 635360 642048 647900 654720 655402 668800 671460 676544 682000 693120 693842 704000 706800 714984 716224 720750 722000 729600 730360 738048 738606 744000 744775 753920 762432 768800 777480 792825 793600 794200 802560 803396 809875 818400 829312 836000 839325 844800 845680 866400 872960 876432 883500 893730 895280 904704 912000 912950 922560 924160 942400 953040 953312 961000 971850 983103 984064 984808 992000 992750 1003200 1004245 1014816 1016576 1023000 1036640 1040763 1047552 1056000 1057100 1070080 1074336 1083000 1091200 1095540 1108992 1119100 1130880 1132058 1153200 1155200 1168576 1178000 1190400 1191300 1191640 1205094 1216000 1230080 1231010 1243968 1254000 1268520 1270720 1295800 1309440 1310804 1321375 1337600 1342920 1353088 1364000 1369425 1386240 1387684 1398875 1408000 1413600 1429968 1432448 1441500 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3113159500 3145929600 3151385600 3187875328 3213584000 3226365300 3330441600 3396174000 3441456320 3505728000 3549001830 3622585600 3663485760 3735791400 3785601952 3813248000 3816131000 3856300800 3907718144 3932412000 3939232000 3984844160 4032956625 4059264000 4129747584 4163052000 4194572800 4297344000 4301820400 4347102720 4440588800 4528232000 4579357200 4669739250 4727078400 4732002440 4781812992 4820376000 4884647680 4981055200 5033487360 5141734400 5162184480 5243216000 5328706560 5377275500 5433878400 5506330112 5550736000 5678402928 5719872000 5724196500 5861577216 5908848000 5915003050 5977266240 6105809600 6226319000 6291859200 6375750656 6427168000 6452730600 6660883200 6792348000 6882912640 7011456000 7098003660 7245171200 7326971520 7471582800 7571203904 7632262000 7712601600 7864824000 7878464000 7969688320 8065913250 8259495168 8326104000 8389145600 8603640800 8694205440 8872504575 8881177600 9056464000 9158714400 9339478500 9454156800 9464004880 9563625984 9640752000 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39848441600 41297475840 41945728000 43018204000 43471027200 44362522875 44405888000 45427223424 45793572000 47270784000 47320024400 47818129920 48846476800 49810552000 51621844800 54338784000 55063301120 56784029280 58615772160 59150030500 59772662400 60569631232 61058096000 62918592000 64527306000 66608832000 68829126400 70980036600 72451712000 73269715200 74715828000 75712039040 77126016000 79696883200 82594951680 86036408000 88725045750 90854446848 91587144000 94640048800 95636259840 97692953600 99621104000 103243689600 108677568000 113568058560 118300061000 119545324800 121139262464 122116192000 125837184000 129054612000 133217664000 137658252800 141960073200 146539430400 149431656000 151424078080 159393766400 165189903360 172072816000 177450091500 181708893696 183174288000 189280097600 199242208000 206487379200 217355136000 227136117120 236600122000 239090649600 244232384000 258109224000 275316505600 283920146400 293078860800 298863312000 302848156160 344145632000 354900183000 363417787392 366348576000 378560195200 398484416000 412974758400 454272234240 473200244000 478181299200 488464768000 516218448000 567840292800 597726624000 605696312320 688291264000 709800366000 732697152000 757120390400 796968832000 825949516800 908544468480 946400488000 1032436896000 1135680585600 1195453248000 1376582528000 1419600732000 1465394304000 1514240780800 1817088936960 1892800976000 2064873792000 2271361171200 2390906496000 2839201464000 3028481561600 3785601952000 4129747584000 4542722342400 5678402928000 7571203904000 9085444684800 11356805856000 15142407808000 22713611712000 45427223424000
- Sum of all divisors σ(n): 179776824274944
- Sum of proper divisors (its aliquot sum) s(n): 134349600850944
- 45427223424000 is an abundant number, because the sum of its proper divisors (134349600850944) is greater than itself. Its abundance is 88922377426944
Bases of 45427223424000
- Binary: 10100101010000110110011000001111101100000000002
- Hexadecimal: 0x2950D983EC00
- Base-36: G3OZ7XHXC
Squares and roots of 45427223424000
- 45427223424000 squared (454272234240002) is 2063632628014014283776000000
- 45427223424000 cubed (454272234240003) is 93745100457848908272219690369024000000000
-
The
square root of 45427223424000 is 6739972.0640370609 -
The
cube root of 45427223424000 is 35681.1407800851
Scales and comparisons
How big is 45427223424000?- 45,427,223,424,000 seconds is equal to 1,444,445 years, 9 weeks, 5 days, 21 hours, 20 minutes.
-
To count from 1 to 45,427,223,424,000 would take you about three million, six hundred eleven thousand, one hundred twelve 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 45427223424000 cubic inches would be around 2973.4 feet tall.
Recreational maths with 45427223424000
- 45427223424000 backwards is 00042432272454
- The number of decimal digits it has is: 14
- The sum of 45427223424000's digits is 39
- More coming soon!
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Cite this page
MLA style:
"Number 45427223424000 - Facts about the integer". Numbermatics.com. 2024. Web. 4 May 2024.
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Numbermatics. (2024). Number 45427223424000 - Facts about the integer. Retrieved 4 May 2024, from https://numbermatics.com/n/45427223424000/
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The information we have on file for 45427223424000 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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