53442854438400
53,442,854,438,400 is an even composite number composed of seven prime numbers multiplied together.
What does the number 53442854438400 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 2400 divisors.
53442854438400 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of two thousand, four hundred divisors.
Prime factorization of 53442854438400:
29 × 34 × 52 × 7 × 29 × 31 × 8191
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 5 × 5 × 7 × 29 × 31 × 8191)See below for interesting mathematical facts about the number 53442854438400 from the Numbermatics database.
Names of 53442854438400
- Cardinal: 53442854438400 can be written as Fifty-three trillion, four hundred forty-two billion, eight hundred fifty-four million, four hundred thirty-eight thousand, four hundred.
Scientific notation
- Scientific notation: 5.34428544384 × 1013
Factors of 53442854438400
Divisors of 53442854438400
- Number of divisors d(n): 2400
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Complete list of divisors:
1 2 3 4 5 6 7 8 9 10 12 14 15 16 18 20 21 24 25 27 28 29 30 31 32 35 36 40 42 45 48 50 54 56 58 60 62 63 64 70 72 75 80 81 84 87 90 93 96 100 105 108 112 116 120 124 126 128 135 140 144 145 150 155 160 162 168 174 175 180 186 189 192 200 203 210 216 217 224 225 232 240 248 252 256 261 270 279 280 288 290 300 310 315 320 324 336 348 350 360 372 378 384 400 405 406 420 432 434 435 448 450 464 465 480 496 504 512 522 525 540 558 560 567 576 580 600 609 620 630 640 648 651 672 675 696 700 720 725 744 756 768 775 783 800 810 812 837 840 864 868 870 896 899 900 928 930 945 960 992 1008 1015 1044 1050 1080 1085 1116 1120 1134 1152 1160 1200 1218 1240 1260 1280 1296 1302 1305 1344 1350 1392 1395 1400 1440 1450 1488 1512 1536 1550 1566 1575 1600 1620 1624 1674 1680 1728 1736 1740 1792 1798 1800 1827 1856 1860 1890 1920 1953 1984 2016 2025 2030 2088 2100 2160 2170 2175 2232 2240 2268 2304 2320 2325 2349 2400 2436 2480 2511 2520 2560 2592 2604 2610 2688 2697 2700 2784 2790 2800 2835 2880 2900 2976 3024 3045 3100 3132 3150 3200 3240 3248 3255 3348 3360 3456 3472 3480 3584 3596 3600 3654 3712 3720 3780 3840 3906 3915 3968 4032 4050 4060 4176 4185 4200 4320 4340 4350 4464 4480 4495 4536 4608 4640 4650 4698 4725 4800 4872 4960 5022 5040 5075 5184 5208 5220 5376 5394 5400 5425 5481 5568 5580 5600 5670 5760 5800 5859 5952 6048 6090 6200 6264 6293 6300 6400 6480 6496 6510 6525 6696 6720 6912 6944 6960 6975 7192 7200 7308 7424 7440 7560 7680 7812 7830 7936 8064 8091 8100 8120 8191 8352 8370 8400 8640 8680 8700 8928 8960 8990 9072 9135 9280 9300 9396 9450 9600 9744 9765 9920 10044 10080 10150 10368 10416 10440 10752 10788 10800 10850 10962 11136 11160 11200 11340 11520 11600 11718 11745 11904 12096 12180 12400 12528 12555 12586 12600 12800 12960 12992 13020 13050 13392 13440 13485 13824 13888 13920 13950 14175 14384 14400 14616 14848 14880 15120 15225 15624 15660 15872 16128 16182 16200 16240 16275 16382 16443 16704 16740 16800 17280 17360 17400 17577 17856 17920 17980 18144 18270 18560 18600 18792 18879 18900 19200 19488 19530 19575 19840 20088 20160 20300 20736 20832 20880 20925 21576 21600 21700 21924 22272 22320 22400 22475 22680 23040 23200 23436 23490 23808 24192 24273 24360 24573 24800 25056 25110 25172 25200 25920 25984 26040 26100 26784 26880 26970 27405 27776 27840 27900 28350 28768 28800 29232 29295 29760 30240 30450 31248 31320 31465 32256 32364 32400 32480 32550 32764 32886 33408 33480 33600 34560 34720 34800 35154 35712 35960 36288 36540 37120 37200 37584 37758 37800 38400 38976 39060 39150 39680 40176 40320 40455 40600 40955 41472 41664 41760 41850 43152 43200 43400 43848 44544 44640 44800 44950 45360 45675 46400 46872 46980 47616 48384 48546 48720 48825 49146 49600 50112 50220 50344 50400 51840 51968 52080 52200 53568 53760 53940 54810 55552 55680 55800 56637 56700 57337 57536 57600 58464 58590 58725 59520 60480 60900 62496 62640 62775 62930 64728 64800 64960 65100 65528 65772 66816 66960 67200 67425 69120 69440 69600 70308 71424 71920 72576 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51190473600 52653058560 53018704800 53873845200 55669640040 56553285120 57465434880 57589282800 59380949376 59447001600 59646042900 61428568320 61570108800 61855155600 63622445760 63850483200 65816323200 65978832640 66803568048 68253964800 68958521856 69587050050 70691606400 71831793600 73714281984 74226186720 76346934912 76785710400 79174599168 79528057200 82093478400 82473540800 83504460060 84829927680 86198152320 87755097600 89071424064 92142852480 92782733400 94255475200 95433668640 95775724800 98968248960 101795913216 102380947200 104380575075 106037409600 107747690400 111339280080 114930869760 115178565600 118761898752 119292085800 122857136640 123140217600 123710311200 127244891520 131632646400 131957665280 133607136096 139174100100 141383212800 143663587200 148452373440 152693869824 153571420800 159056114400 164947081600 167008920120 169659855360 172396304640 178142848128 184285704960 185565466800 190867337280 191551449600 197936497920 204761894400 208761150150 212074819200 215495380800 222678560160 230357131200 237523797504 238584171600 246280435200 247420622400 254489783040 263265292800 267214272192 278348200200 282766425600 287327174400 296904746880 305387739648 307142841600 318112228800 329894163200 334017840240 344792609280 356285696256 368571409920 371130933600 381734674560 395872995840 417522300300 424149638400 430990761600 445357120320 460714262400 477168343200 494841244800 508979566080 534428544384 556696400400 574654348800 593809493760 614285683200 636224457600 659788326400 668035680480 712571392512 742261867200 763469349120 835044600600 848299276800 861981523200 890714240640 921428524800 954336686400 989682489600 1068857088768 1113392800800 1187618987520 1272448915200 1336071360960 1484523734400 1526938698240 1670089201200 1723963046400 1781428481280 1842857049600 1908673372800 1979364979200 2137714177536 2226785601600 2544897830400 2672142721920 2969047468800 3340178402400 3562856962560 3817346745600 4453571203200 5344285443840 5938094937600 6680356804800 7634693491200 8907142406400 10688570887680 13360713609600 17814284812800 26721427219200 53442854438400
- Sum of all divisors σ(n): 241420342394880
- Sum of proper divisors (its aliquot sum) s(n): 187977487956480
- 53442854438400 is an abundant number, because the sum of its proper divisors (187977487956480) is greater than itself. Its abundance is 134534633518080
Bases of 53442854438400
- Binary: 11000010011011001000100101101011000110000000002
- Hexadecimal: 0x309B225AC600
- Base-36: IXZB3OG00
Squares and roots of 53442854438400
- 53442854438400 squared (534428544384002) is 2856138690524010579394560000
- 53442854438400 cubed (534428544384003) is 152640204293557082814765116480815104000000
-
The
square root of 53442854438400 is 7310461.9852920377 -
The
cube root of 53442854438400 is 37667.1893648961
Scales and comparisons
How big is 53442854438400?- 53,442,854,438,400 seconds is equal to 1,699,317 years, 24 weeks.
-
To count from 1 to 53,442,854,438,400 would take you about four million, two hundred forty-eight thousand, two hundred ninety-three 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 53442854438400 cubic inches would be around 3138.9 feet tall.
Recreational maths with 53442854438400
- 53442854438400 backwards is 00483445824435
- 53442854438400 is a
Harshad number . - The number of decimal digits it has is: 14
- The sum of 53442854438400's digits is 54
- More coming soon!
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The information we have on file for 53442854438400 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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