420393093120
420,393,093,120 is an even composite number composed of seven prime numbers multiplied together.
420393093120 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of three thousand and seventy-two divisors.
Prime factorization of 420393093120:
211 × 33 × 5 × 73 × 11 × 13 × 31
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 5 × 7 × 7 × 7 × 11 × 13 × 31)See below for interesting mathematical facts about the number 420393093120 from the Numbermatics database.
Names of 420393093120
- Cardinal: 420393093120 can be written as Four hundred twenty billion, three hundred ninety-three million, ninety-three thousand, one hundred twenty.
Scientific notation
- Scientific notation: 4.2039309312 × 1011
Factors of 420393093120
Divisors of 420393093120
- Number of divisors d(n): 3072
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Complete list of divisors:
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 18 20 21 22 24 26 27 28 30 31 32 33 35 36 39 40 42 44 45 48 49 52 54 55 56 60 62 63 64 65 66 70 72 77 78 80 84 88 90 91 93 96 98 99 104 105 108 110 112 117 120 124 126 128 130 132 135 140 143 144 147 154 155 156 160 165 168 176 180 182 186 189 192 195 196 198 208 210 216 217 220 224 231 234 240 245 248 252 256 260 264 270 273 279 280 286 288 294 297 308 310 312 315 320 330 336 341 343 351 352 360 364 372 378 384 385 390 392 396 403 416 420 429 432 434 440 441 448 455 462 465 468 480 490 495 496 504 512 520 528 539 540 546 558 560 572 576 585 588 594 616 620 624 630 637 640 651 660 672 682 686 693 702 704 715 720 728 735 744 756 768 770 780 784 792 806 819 832 837 840 858 864 868 880 882 896 910 924 930 936 945 960 980 990 992 1001 1008 1023 1024 1029 1040 1056 1078 1080 1085 1092 1116 1120 1144 1152 1155 1170 1176 1188 1209 1232 1240 1248 1260 1274 1280 1287 1302 1320 1323 1344 1364 1365 1372 1386 1395 1404 1408 1430 1440 1456 1470 1485 1488 1512 1519 1536 1540 1560 1568 1584 1612 1617 1638 1664 1674 1680 1705 1715 1716 1728 1736 1755 1760 1764 1792 1820 1848 1860 1872 1890 1911 1920 1953 1960 1980 1984 2002 2015 2016 2046 2048 2058 2079 2080 2112 2145 2156 2160 2170 2184 2205 2232 2240 2288 2304 2310 2340 2352 2376 2387 2418 2457 2464 2480 2496 2520 2548 2560 2574 2604 2640 2646 2688 2695 2728 2730 2744 2772 2790 2808 2816 2821 2860 2880 2912 2940 2970 2976 3003 3024 3038 3069 3072 3080 3087 3120 3136 3168 3185 3224 3234 3255 3276 3328 3348 3360 3410 3430 3432 3456 3465 3472 3510 3520 3528 3584 3627 3640 3696 3720 3744 3773 3780 3822 3840 3861 3906 3920 3960 3968 4004 4030 4032 4092 4095 4116 4158 4160 4185 4224 4290 4312 4320 4340 4368 4410 4433 4459 4464 4480 4557 4576 4608 4620 4680 4704 4752 4774 4836 4851 4914 4928 4960 4992 5005 5040 5096 5115 5120 5145 5148 5208 5280 5292 5376 5390 5456 5460 5488 5544 5580 5616 5632 5642 5720 5733 5760 5824 5859 5880 5940 5952 6006 6045 6048 6076 6138 6144 6160 6174 6240 6272 6336 6370 6435 6448 6468 6510 6552 6615 6656 6696 6720 6820 6860 6864 6912 6930 6944 7007 7020 7040 7056 7161 7168 7254 7280 7392 7440 7488 7546 7560 7595 7644 7680 7722 7812 7840 7920 7936 8008 8060 8064 8085 8184 8190 8232 8316 8320 8370 8448 8463 8580 8624 8640 8680 8736 8820 8866 8918 8928 8960 9009 9114 9152 9207 9216 9240 9261 9360 9408 9504 9548 9555 9672 9702 9765 9828 9856 9920 9984 10010 10080 10192 10230 10240 10290 10296 10395 10416 10560 10584 10633 10752 10780 10881 10912 10920 10976 11088 11160 11232 11264 11284 11319 11440 11466 11520 11648 11718 11760 11880 11904 11935 12012 12090 12096 12152 12276 12285 12320 12348 12480 12544 12672 12740 12870 12896 12936 13020 13104 13230 13299 13312 13377 13392 13440 13640 13671 13720 13728 13824 13860 13888 14014 14040 14080 14105 14112 14322 14336 14508 14553 14560 14784 14880 14976 15015 15092 15120 15190 15288 15345 15360 15435 15444 15624 15680 15840 15872 16016 16120 16128 16170 16368 16380 16464 16632 16640 16709 16740 16896 16926 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37044 37440 37632 37730 38016 38192 38220 38610 38688 38808 39060 39312 39424 39494 39680 39897 39936 40040 40131 40320 40768 40920 41013 41160 41184 41580 41664 42042 42240 42315 42336 42532 42966 43008 43120 43524 43648 43680 43904 44330 44352 44590 44640 44928 45045 45136 45276 45570 45760 45864 46035 46080 46305 46592 46872 47040 47520 47616 47740 48048 48360 48384 48510 48608 49049 49104 49140 49280 49392 49920 50127 50176 50688 50778 50960 51480 51584 51744 52080 52416 52920 53165 53196 53508 53568 53760 54054 54405 54560 54684 54880 54912 55296 55440 55552 56056 56160 56320 56420 56448 56595 57288 57330 58032 58212 58240 58590 59136 59241 59520 59904 60060 60368 60480 60760 61152 61380 61740 61776 62062 62496 62720 63063 63360 63488 63798 64064 64449 64480 64512 64680 65472 65520 65856 66495 66528 66560 66836 66885 66960 67584 67704 67914 68355 68640 68796 68992 69120 69440 69888 70070 70560 70928 71344 71424 71610 71680 72072 72540 72765 72912 73216 73656 73920 74088 74880 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347719680 353866240 357477120 359310336 363976704 364924560 367476480 375350976 376696320 384975360 387459072 389252864 389975040 398099520 404224128 408545280 410540130 410941440 417056640 419973120 423783360 424639488 428972544 437909472 444860416 449137920 452035584 454970880 461970432 469188720 476636160 477719424 484323840 486566080 489968640 500467968 502261760 505280160 513300480 521579520 530799360 536215680 538965504 545965056 547386840 556075520 565044480 571963392 577463040 583879296 587962368 597149280 598850560 606627840 612817920 616412160 625584960 636959232 645765120 656864208 659957760 667290624 673706880 678053376 682456320 707732480 714954240 718620672 729849120 734952960 750701952 753392640 769950720 778505728 779950080 796199040 808448256 821080260 834113280 847566720 849278976 857945088 875818944 898275840 904071168 909941760 923940864 938377440 953272320 955438848 968647680 973132160 979937280 1000935936 1010560320 1043159040 1061598720 1072431360 1077931008 1091930112 1094773680 1112151040 1130088960 1154926080 1167758592 1194298560 1197701120 1225635840 1232824320 1251169920 1273918464 1313728416 1334581248 1347413760 1356106752 1364912640 1415464960 1429908480 1459698240 1469905920 1501403904 1506785280 1539901440 1557011456 1592398080 1616896512 1642160520 1668226560 1695133440 1715890176 1751637888 1796551680 1819883520 1876754880 1910877696 1937295360 1946264320 2001871872 2021120640 2123197440 2144862720 2155862016 2189547360 2224302080 2260177920 2309852160 2335517184 2388597120 2502339840 2547836928 2627456832 2694827520 2712213504 2729825280 2859816960 2919396480 2939811840 3002807808 3114022912 3184796160 3233793024 3284321040 3336453120 3390266880 3503275776 3593103360 3753509760 3821755392 3892528640 4003743744 4042241280 4246394880 4289725440 4379094720 4520355840 4619704320 4671034368 4777194240 5004679680 5254913664 5389655040 5459650560 5838792960 6005615616 6369592320 6467586048 6568642080 6672906240 6780533760 7006551552 7507019520 7643510784 7785057280 8084482560 8579450880 8758189440 9342068736 9554388480 10009359360 10509827328 10779310080 11677585920 12011231232 12739184640 13137284160 13561067520 14013103104 15014039040 15570114560 16168965120 17516378880 19108776960 20018718720 21019654656 23355171840 26274568320 28026206208 30028078080 32337930240 35032757760 38217553920 42039309312 46710343680 52549136640 60056156160 70065515520 84078618624 105098273280 140131031040 210196546560 420393093120
- Sum of all divisors σ(n): 2113413120000
- Sum of proper divisors (its aliquot sum) s(n): 1693020026880
- 420393093120 is an abundant number, because the sum of its proper divisors (1693020026880) is greater than itself. Its abundance is 1272626933760
Bases of 420393093120
- Binary: 1100001111000010110000110001000000000002
- Hexadecimal: 0x61E1618800
- Base-36: 5D4J6YO0
Squares and roots of 420393093120
- 420393093120 squared (4203930931202) is 176730352743000991334400
- 420393093120 cubed (4203930931203) is 74296219637818863178294732259328000
-
The
square root of 420393093120 is 648377.2768381075 -
The
cube root of 420393093120 is 7491.2080271223
Scales and comparisons
How big is 420393093120?- 420,393,093,120 seconds is equal to 13,367 years, 10 weeks, 2 days, 19 hours, 12 minutes.
-
To count from 1 to 420,393,093,120 would take you about twenty-six thousand, seven hundred thirty-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 420393093120 cubic inches would be around 624.3 feet tall.
Recreational maths with 420393093120
- 420393093120 backwards is 021390393024
- 420393093120 is a
Harshad number . - The number of decimal digits it has is: 12
- The sum of 420393093120's digits is 36
- More coming soon!
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Cite this page
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"Number 420393093120 - Facts about the integer". Numbermatics.com. 2024. Web. 3 May 2024.
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Numbermatics. (2024). Number 420393093120 - Facts about the integer. Retrieved 3 May 2024, from https://numbermatics.com/n/420393093120/
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The information we have on file for 420393093120 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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