420841993728000
420,841,993,728,000 is an even composite number composed of six prime numbers multiplied together.
What does the number 420841993728000 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 2080 divisors.
420841993728000 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of two thousand and eighty divisors.
Prime factorization of 420841993728000:
212 × 3 × 53 × 134 × 53 × 181
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 5 × 5 × 13 × 13 × 13 × 13 × 53 × 181)See below for interesting mathematical facts about the number 420841993728000 from the Numbermatics database.
Names of 420841993728000
- Cardinal: 420841993728000 can be written as Four hundred twenty trillion, eight hundred forty-one billion, nine hundred ninety-three million, seven hundred twenty-eight thousand.
Scientific notation
- Scientific notation: 4.20841993728 × 1014
Factors of 420841993728000
Divisors of 420841993728000
- Number of divisors d(n): 2080
-
Complete list of divisors:
1 2 3 4 5 6 8 10 12 13 15 16 20 24 25 26 30 32 39 40 48 50 52 53 60 64 65 75 78 80 96 100 104 106 120 125 128 130 150 156 159 160 169 181 192 195 200 208 212 240 250 256 260 265 300 312 318 320 325 338 362 375 384 390 400 416 424 480 500 507 512 520 530 543 600 624 636 640 650 676 689 724 750 768 780 795 800 832 845 848 905 960 975 1000 1014 1024 1040 1060 1086 1200 1248 1272 1280 1300 1325 1352 1378 1448 1500 1536 1560 1590 1600 1625 1664 1690 1696 1810 1920 1950 2000 2028 2048 2067 2080 2120 2172 2197 2353 2400 2496 2535 2544 2560 2600 2650 2704 2715 2756 2896 3000 3072 3120 3180 3200 3250 3328 3380 3392 3445 3620 3840 3900 3975 4000 4056 4096 4134 4160 4225 4240 4344 4394 4525 4706 4800 4875 4992 5070 5088 5120 5200 5300 5408 5430 5512 5792 6000 6144 6240 6360 6400 6500 6591 6625 6656 6760 6784 6890 7059 7240 7680 7800 7950 8000 8112 8268 8320 8450 8480 8688 8788 8957 9050 9412 9593 9600 9750 9984 10140 10176 10240 10335 10400 10600 10816 10860 10985 11024 11584 11765 12000 12288 12480 12675 12720 12800 13000 13182 13250 13312 13520 13568 13575 13780 14118 14480 15360 15600 15900 16000 16224 16536 16640 16900 16960 17225 17376 17576 17914 18100 18824 19186 19200 19500 19875 19968 20280 20352 20480 20670 20800 21125 21200 21632 21720 21970 22048 22625 23168 23530 24000 24960 25350 25440 25600 26000 26364 26500 26624 26871 27040 27136 27150 27560 28236 28561 28779 28960 30589 30720 31200 31800 32000 32448 32955 33072 33280 33800 33920 34450 34752 35152 35295 35828 36200 37648 38372 38400 39000 39750 39936 40560 40704 41340 41600 42250 42400 43264 43440 43940 44096 44785 45250 46336 47060 47965 48000 49920 50700 50880 51200 51675 52000 52728 53000 53248 53742 54080 54272 54300 54925 55120 56472 57122 57558 57920 58825 61178 61440 62400 63375 63600 64000 64896 65910 66144 66560 67600 67840 67875 68900 69504 70304 70590 71656 72400 75296 76744 76800 78000 79500 79872 81120 81408 82680 83200 84500 84800 85683 86125 86528 86880 87880 88192 89570 90500 91767 92672 94120 95930 96000 99840 101400 101760 102400 103350 104000 105456 106000 107484 108160 108544 108600 109850 110240 112944 114244 115116 115840 116441 117650 122356 124709 124800 126750 127200 128000 129792 131820 132288 133120 134355 135200 135680 135750 137800 139008 140608 141180 142805 143312 143895 144800 150592 152945 153488 153600 156000 159000 159744 162240 162816 164775 165360 166400 169000 169600 171366 172250 173056 173760 175760 176384 176475 179140 181000 183534 185344 188240 191860 192000 199680 202800 203520 206700 208000 210912 212000 214968 216320 217088 217200 219700 220480 223925 225888 228488 230232 231680 232882 235300 239825 244712 249418 249600 253500 254400 256000 258375 259584 263640 264576 266240 268710 270400 271360 271500 274625 275600 278016 281216 282360 285610 286624 287790 289600 294125 301184 305890 306976 307200 312000 318000 324480 325632 329550 330720 332800 338000 339200 342732 344500 346112 347520 349323 351520 352768 352950 358280 362000 367068 370688 374127 376480 383720 384000 397657 399360 405600 407040 413400 416000 421824 424000 428415 429936 432640 434400 439400 440960 447850 451776 456976 458835 460464 463360 465764 470600 479650 489424 498836 499200 507000 508800 512000 516750 519168 527280 529152 537420 540800 542720 543000 549250 551200 556032 562432 564720 571220 573248 575580 579200 582205 588250 602368 611780 613952 623545 624000 636000 648960 651264 659100 661440 665600 671775 676000 678400 685464 689000 692224 695040 698646 703040 705536 705900 714025 716560 719475 724000 734136 741376 748254 752960 764725 767440 768000 795314 798720 811200 814080 823875 826800 832000 843648 848000 856830 859872 865280 868800 878800 881920 882375 895700 903552 913952 917670 920928 926720 931528 941200 959300 978848 997672 998400 1014000 1017600 1033500 1038336 1054560 1058304 1074840 1081600 1085440 1086000 1098500 1102400 1112064 1119625 1124864 1129440 1142440 1146496 1151160 1158400 1164410 1176500 1192971 1199125 1204736 1223560 1227904 1247090 1248000 1272000 1297920 1318200 1322880 1331200 1343550 1352000 1356800 1370928 1378000 1390080 1397292 1406080 1411072 1411800 1428050 1433120 1438950 1448000 1468272 1496508 1505920 1513733 1529450 1534880 1536000 1590628 1621217 1622400 1628160 1647750 1653600 1664000 1687296 1696000 1713660 1719744 1730560 1737600 1746615 1757600 1763840 1764750 1791400 1807104 1827904 1835340 1841856 1853440 1863056 1870635 1882400 1918600 1957696 1988285 1995344 1996800 2028000 2035200 2067000 2076672 2109120 2116608 2142075 2149680 2163200 2172000 2197000 2204800 2224128 2239250 2249728 2258880 2284880 2292992 2294175 2302320 2316800 2328820 2353000 2385942 2398250 2409472 2447120 2455808 2494180 2496000 2544000 2595840 2636400 2645760 2687100 2704000 2713600 2741856 2756000 2780160 2794584 2812160 2822144 2823600 2856100 2866240 2877900 2896000 2911025 2936544 2993016 3011840 3027466 3058900 3069760 3117725 3181256 3242434 3244800 3256320 3295500 3307200 3328000 3358875 3374592 3392000 3427320 3439488 3461120 3475200 3493230 3515200 3527680 3529500 3570125 3582800 3597375 3614208 3655808 3670680 3683712 3706880 3726112 3741270 3764800 3823625 3837200 3915392 3976570 3990688 3993600 4056000 4070400 4134000 4218240 4233216 4284150 4299360 4326400 4344000 4394000 4409600 4478500 4499456 4517760 4541199 4569760 4585984 4588350 4604640 4633600 4657640 4706000 4771884 4796500 4818944 4863651 4894240 4911616 4988360 4992000 5088000 5169541 5191680 5272800 5291520 5374200 5408000 5427200 5483712 5512000 5560320 5589168 5624320 5647200 5712200 5732480 5755800 5792000 5822050 5873088 5964855 5986032 6023680 6054932 6117800 6139520 6235450 6362512 6484868 6489600 6591000 6614400 6656000 6717750 6749184 6784000 6854640 6878976 6950400 6986460 7030400 7055360 7059000 7140250 7165600 7194750 7228416 7311616 7341360 7367424 7452224 7482540 7529600 7568665 7647250 7674400 7830784 7953140 7981376 8106085 8112000 8140800 8268000 8436480 8466432 8568300 8598720 8652800 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7452224000 7635014400 7662120960 7750312960 7754311500 7781841600 7830784000 7903432875 7940414976 7981376000 8093115264 8144015360 8219570190 8271265600 8300631040 8430328400 8767541536 8773939200 8942668800 9082398000 9300375552 9396940800 9543768000 9577651200 9687891200 9727302000 9925518720 9960757248 10116394080 10180019200 10339082000 10375788800 10537910500 10587219968 10790820352 10959426920 10967424000 11178336000 11625469440 11746176000 11923558400 11972064000 12109864000 12216023040 12406898400 12450946560 12645492600 12725024000 12770201600 12969736000 13151312304 13234024960 13488525440 13699283650 13757952000 14531836800 14623232000 14734848000 14904448000 15270028800 15500625920 15508623000 15563683200 15661568000 15806865750 15880829952 15962752000 16186230528 16439140380 16542531200 16601262080 16860656800 17535083072 17885337600 18164796000 18600751104 19087536000 19155302400 19375782400 19454604000 19851037440 19921514496 20232788160 20360038400 20548925475 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397020748800 404655763200 410978509500 415031552000 420841993728 431632814080 438377076800 465018777600 496275936000 498037862400 505819704000 526052492160 529360998400 539541017600 547971346000 561122658304 581273472000 610801152000 622547328000 647449221120 657565615200 661701248000 674426272000 701403322880 775031296000 794041497600 809311526400 821957019000 830063104000 841683987456 876754153600 992551872000 1011639408000 1052104984320 1079082035200 1095942692000 1122245316608 1162546944000 1245094656000 1294898442240 1315131230400 1323402496000 1348852544000 1402806645760 1588082995200 1618623052800 1643914038000 1683367974912 1753508307200 1985103744000 2023278816000 2104209968640 2158164070400 2191885384000 2325093888000 2490189312000 2630262460800 2646804992000 2697705088000 2805613291520 3237246105600 3287828076000 3366735949824 3507016614400 3970207488000 4046557632000 4208419937280 4383770768000 5260524921600 5395410176000 5611226583040 6474492211200 6575656152000 7014033228800 7940414976000 8093115264000 8416839874560 8767541536000 10521049843200 10790820352000 13151312304000 14028066457600 16186230528000 16833679749120 17535083072000 21042099686400 26302624608000 28056132915200 32372461056000 35070166144000 42084199372800 52605249216000 70140332288000 84168398745600 105210498432000 140280664576000 210420996864000 420841993728000
- Sum of all divisors σ(n): 1554250476647232
- Sum of proper divisors (its aliquot sum) s(n): 1133408482919232
- 420841993728000 is an abundant number, because the sum of its proper divisors (1133408482919232) is greater than itself. Its abundance is 712566489191232
Bases of 420841993728000
- Binary: 10111111011000000111010011000101011110000000000002
- Hexadecimal: 0x17EC0E98AF000
- Base-36: 456C558WLC
Squares and roots of 420841993728000
- 420841993728000 squared (4208419937280002) is 177107983684957991337984000000
- 420841993728000 cubed (4208419937280003) is 74534476959123817318603340856164352000000000
-
The
square root of 420841993728000 is 20514433.7900903323 -
The
cube root of 420841993728000 is 74938.7347814447
Scales and comparisons
How big is 420841993728000?- 420,841,993,728,000 seconds is equal to 13,381,473 years, 33 weeks, 5 days, 21 hours, 20 minutes.
-
To count from 1 to 420,841,993,728,000 would take you about thirty-three million, four hundred fifty-three thousand, six hundred eighty-four 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 420841993728000 cubic inches would be around 6244.9 feet tall.
Recreational maths with 420841993728000
- 420841993728000 backwards is 000827399148024
- The number of decimal digits it has is: 15
- The sum of 420841993728000's digits is 57
- More coming soon!
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Cite this page
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"Number 420841993728000 - Facts about the integer". Numbermatics.com. 2024. Web. 23 June 2024.
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Numbermatics. (2024). Number 420841993728000 - Facts about the integer. Retrieved 23 June 2024, from https://numbermatics.com/n/420841993728000/
Chicago style:
Numbermatics. 2024. "Number 420841993728000 - Facts about the integer". https://numbermatics.com/n/420841993728000/
The information we have on file for 420841993728000 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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