428325470208000
428,325,470,208,000 is an even composite number composed of four prime numbers multiplied together.
What does the number 428325470208000 look like?
This visualization shows the relationship between its 4 prime factors (large circles) and 1728 divisors.
428325470208000 is an even composite number. It is composed of four distinct prime numbers multiplied together. It has a total of one thousand, seven hundred twenty-eight divisors.
Prime factorization of 428325470208000:
223 × 35 × 53 × 412
(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 × 3 × 3 × 5 × 5 × 5 × 41 × 41)See below for interesting mathematical facts about the number 428325470208000 from the Numbermatics database.
Names of 428325470208000
- Cardinal: 428325470208000 can be written as Four hundred twenty-eight trillion, three hundred twenty-five billion, four hundred seventy million, two hundred eight thousand.
Scientific notation
- Scientific notation: 4.28325470208 × 1014
Factors of 428325470208000
Divisors of 428325470208000
- Number of divisors d(n): 1728
-
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 41 45 48 50 54 60 64 72 75 80 81 82 90 96 100 108 120 123 125 128 135 144 150 160 162 164 180 192 200 205 216 225 240 243 246 250 256 270 288 300 320 324 328 360 369 375 384 400 405 410 432 450 480 486 492 500 512 540 576 600 615 640 648 656 675 720 738 750 768 800 810 820 864 900 960 972 984 1000 1024 1025 1080 1107 1125 1152 1200 1215 1230 1280 1296 1312 1350 1440 1476 1500 1536 1600 1620 1640 1681 1728 1800 1845 1920 1944 1968 2000 2025 2048 2050 2160 2214 2250 2304 2400 2430 2460 2560 2592 2624 2700 2880 2952 3000 3072 3075 3200 3240 3280 3321 3362 3375 3456 3600 3690 3840 3888 3936 4000 4050 4096 4100 4320 4428 4500 4608 4800 4860 4920 5043 5120 5125 5184 5248 5400 5535 5760 5904 6000 6075 6144 6150 6400 6480 6560 6642 6724 6750 6912 7200 7380 7680 7776 7872 8000 8100 8192 8200 8405 8640 8856 9000 9216 9225 9600 9720 9840 9963 10086 10125 10240 10250 10368 10496 10800 11070 11520 11808 12000 12150 12288 12300 12800 12960 13120 13284 13448 13500 13824 14400 14760 15129 15360 15375 15552 15744 16000 16200 16384 16400 16605 16810 17280 17712 18000 18432 18450 19200 19440 19680 19926 20172 20250 20480 20500 20736 20992 21600 22140 23040 23616 24000 24300 24576 24600 25215 25600 25920 26240 26568 26896 27000 27648 27675 28800 29520 30258 30375 30720 30750 31104 31488 32000 32400 32768 32800 33210 33620 34560 35424 36000 36864 36900 38400 38880 39360 39852 40344 40500 40960 41000 41472 41984 42025 43200 44280 45387 46080 46125 47232 48000 48600 49152 49200 49815 50430 51200 51840 52480 53136 53792 54000 55296 55350 57600 59040 60516 60750 61440 61500 62208 62976 64000 64800 65536 65600 66420 67240 69120 70848 72000 73728 73800 75645 76800 77760 78720 79704 80688 81000 81920 82000 82944 83025 83968 84050 86400 88560 90774 92160 92250 94464 96000 97200 98304 98400 99630 100860 102400 103680 104960 106272 107584 108000 110592 110700 115200 118080 121032 121500 122880 123000 124416 125952 126075 128000 129600 131072 131200 132840 134480 136161 138240 138375 141696 144000 147456 147600 151290 153600 155520 157440 159408 161376 162000 163840 164000 165888 166050 167936 168100 172800 177120 181548 184320 184500 188928 192000 194400 196608 196800 199260 201720 204800 207360 209920 210125 212544 215168 216000 221184 221400 226935 230400 236160 242064 243000 245760 246000 248832 249075 251904 252150 256000 259200 262144 262400 265680 268960 272322 276480 276750 283392 288000 294912 295200 302580 307200 311040 314880 318816 322752 324000 327680 328000 331776 332100 335872 336200 345600 354240 363096 368640 369000 377856 378225 384000 388800 393216 393600 398520 403440 408483 409600 414720 415125 419840 420250 425088 430336 432000 442368 442800 453870 460800 472320 484128 486000 491520 492000 497664 498150 503808 504300 512000 518400 524288 524800 531360 537920 544644 552960 553500 566784 576000 589824 590400 605160 614400 622080 629760 630375 637632 645504 648000 655360 656000 663552 664200 671744 672400 680805 691200 708480 726192 737280 738000 755712 756450 768000 777600 786432 787200 797040 806880 816966 819200 829440 830250 839680 840500 850176 860672 864000 884736 885600 907740 921600 944640 968256 972000 983040 984000 995328 996300 1007616 1008600 1024000 1036800 1048576 1049600 1062720 1075840 1089288 1105920 1107000 1133568 1134675 1152000 1179648 1180800 1210320 1228800 1244160 1245375 1259520 1260750 1275264 1291008 1296000 1310720 1312000 1327104 1328400 1343488 1344800 1361610 1382400 1416960 1452384 1474560 1476000 1511424 1512900 1536000 1555200 1572864 1574400 1594080 1613760 1633932 1638400 1658880 1660500 1679360 1681000 1700352 1721344 1728000 1769472 1771200 1815480 1843200 1889280 1891125 1936512 1944000 1966080 1968000 1990656 1992600 2015232 2017200 2042415 2048000 2073600 2097152 2099200 2125440 2151680 2178576 2211840 2214000 2267136 2269350 2304000 2359296 2361600 2420640 2457600 2488320 2490750 2519040 2521500 2550528 2582016 2592000 2621440 2624000 2654208 2656800 2686976 2689600 2723220 2764800 2833920 2904768 2949120 2952000 3022848 3025800 3072000 3110400 3145728 3148800 3188160 3227520 3267864 3276800 3317760 3321000 3358720 3362000 3400704 3404025 3442688 3456000 3538944 3542400 3630960 3686400 3778560 3782250 3873024 3888000 3932160 3936000 3981312 3985200 4030464 4034400 4084830 4096000 4147200 4194304 4198400 4250880 4303360 4357152 4423680 4428000 4534272 4538700 4608000 4718592 4723200 4841280 4915200 4976640 4981500 5038080 5043000 5101056 5164032 5184000 5242880 5248000 5308416 5313600 5373952 5379200 5446440 5529600 5667840 5673375 5809536 5898240 5904000 6045696 6051600 6144000 6220800 6291456 6297600 6376320 6455040 6535728 6553600 6635520 6642000 6717440 6724000 6801408 6808050 6885376 6912000 7077888 7084800 7261920 7372800 7557120 7564500 7746048 7776000 7864320 7872000 7962624 7970400 8060928 8068800 8169660 8192000 8294400 8388608 8396800 8501760 8606720 8714304 8847360 8856000 9068544 9077400 9216000 9437184 9446400 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6529351680 6535728000 6609960960 6692585472 6801408000 6885376000 6964641792 6971443200 7050625024 7077888000 7254835200 7436206080 7738490880 7746048000 7931953152 7962624000 8060928000 8161689600 8262451200 8365731840 8493465600 8598323200 8705802240 8714304000 8813281280 8923447296 9068544000 9286189056 9295257600 9437184000 9673113600 9914941440 10192158720 10202112000 10328064000 10446962688 10457164800 10575937536 10616832000 10747904000 10882252800 11016601600 11154309120 11607736320 11619072000 11897929728 12091392000 12393676800 12740198400 12897484800 13058703360 13071456000 13219921920 13385170944 13602816000 13770752000 13929283584 13942886400 14101250048 14155776000 14509670400 14872412160 15476981760 15492096000 15863906304 15925248000 16121856000 16323379200 16524902400 16731463680 16986931200 17411604480 17428608000 17626562560 17846894592 18137088000 18590515200 19346227200 19829882880 20404224000 20656128000 20893925376 20914329600 21151875072 21233664000 21495808000 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89234472960 92952576000 95183437824 96731136000 99149414400 104469626880 104571648000 105759375360 107081367552 108822528000 110166016000 111543091200 116077363200 118979297280 123936768000 126911250432 127401984000 128974848000 130587033600 132199219200 133851709440 139292835840 139428864000 142775156736 145096704000 148724121600 158639063040 163233792000 165249024000 167314636800 174116044800 176265625600 178468945920 185905152000 190366875648 193462272000 198298828800 208939253760 209143296000 211518750720 214162735104 217645056000 220332032000 223086182400 232154726400 237958594560 247873536000 254803968000 261174067200 264398438400 267703418880 278857728000 285550313472 290193408000 297448243200 317278126080 326467584000 330498048000 334629273600 348232089600 352531251200 356937891840 371810304000 380733751296 386924544000 396597657600 417878507520 418286592000 428325470208 435290112000 440664064000 446172364800 475917189120 495747072000 522348134400 528796876800 535406837760 557715456000 571100626944 580386816000 594896486400 634556252160 652935168000 660996096000 669258547200 696464179200 713875783680 743620608000 793195315200 836573184000 856650940416 870580224000 881328128000 892344729600 951834378240 991494144000 1044696268800 1057593753600 1070813675520 1115430912000 1142201253888 1160773632000 1189792972800 1305870336000 1321992192000 1338517094400 1427751567360 1487241216000 1586390630400 1673146368000 1713301880832 1741160448000 1762656256000 1784689459200 1903668756480 1982988288000 2089392537600 2141627351040 2230861824000 2379585945600 2611740672000 2643984384000 2677034188800 2855503134720 2974482432000 3172781260800 3346292736000 3426603761664 3482320896000 3569378918400 3965976576000 4283254702080 4461723648000 4759171891200 5223481344000 5287968768000 5354068377600 5711006269440 5948964864000 6692585472000 7138757836800 7931953152000 8566509404160 8923447296000 9518343782400 10446962688000 10708136755200 11897929728000 13385170944000 14277515673600 15863906304000 17133018808320 17846894592000 21416273510400 23795859456000 26770341888000 28555031347200 35693789184000 42832547020800 47591718912000 53540683776000 71387578368000 85665094041600 107081367552000 142775156736000 214162735104000 428325470208000
- Sum of all divisors σ(n): 1641463119812880
- Sum of proper divisors (its aliquot sum) s(n): 1213137649604880
- 428325470208000 is an abundant number, because the sum of its proper divisors (1213137649604880) is greater than itself. Its abundance is 784812179396880
Bases of 428325470208000
- Binary: 11000010110001111010010111000000000000000000000002
- Hexadecimal: 0x1858F4B800000
- Base-36: 47TU05XC00
Squares and roots of 428325470208000
- 428325470208000 squared (4283254702080002) is 183462708428904295563264000000
- 428325470208000 cubed (4283254702080003) is 78581750853443637335366061011238912000000000
-
The
square root of 428325470208000 is 20696025.4688672045 -
The
cube root of 428325470208000 is 75380.3182667617
Scales and comparisons
How big is 428325470208000?- 428,325,470,208,000 seconds is equal to 13,619,425 years, 2 weeks, 6 days.
-
To count from 1 to 428,325,470,208,000 would take you about thirty-four million, forty-eight thousand, five hundred sixty-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 428325470208000 cubic inches would be around 6281.7 feet tall.
Recreational maths with 428325470208000
- 428325470208000 backwards is 000802074523824
- 428325470208000 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 428325470208000's digits is 45
- More coming soon!
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"Number 428325470208000 - Facts about the integer". Numbermatics.com. 2024. Web. 11 May 2024.
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Numbermatics. (2024). Number 428325470208000 - Facts about the integer. Retrieved 11 May 2024, from https://numbermatics.com/n/428325470208000/
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The information we have on file for 428325470208000 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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