42190832798400
42,190,832,798,400 is an even composite number composed of nine prime numbers multiplied together.
What does the number 42190832798400 look like?
This visualization shows the relationship between its 9 prime factors (large circles) and 2688 divisors.
42190832798400 is an even composite number. It is composed of nine distinct prime numbers multiplied together. It has a total of two thousand, six hundred eighty-eight divisors.
Prime factorization of 42190832798400:
26 × 3 × 52 × 11 × 13 × 31 × 41 × 137 × 353
(2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 5 × 11 × 13 × 31 × 41 × 137 × 353)See below for interesting mathematical facts about the number 42190832798400 from the Numbermatics database.
Names of 42190832798400
- Cardinal: 42190832798400 can be written as Forty-two trillion, one hundred ninety billion, eight hundred thirty-two million, seven hundred ninety-eight thousand, four hundred.
Scientific notation
- Scientific notation: 4.21908327984 × 1013
Factors of 42190832798400
Divisors of 42190832798400
- Number of divisors d(n): 2688
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Complete list of divisors:
1 2 3 4 5 6 8 10 11 12 13 15 16 20 22 24 25 26 30 31 32 33 39 40 41 44 48 50 52 55 60 62 64 65 66 75 78 80 82 88 93 96 100 104 110 120 123 124 130 132 137 143 150 155 156 160 164 165 176 186 192 195 200 205 208 220 240 246 248 260 264 274 275 286 300 310 312 320 325 328 330 341 352 353 372 390 400 403 410 411 416 429 440 451 465 480 492 496 520 528 533 548 550 572 600 615 620 624 650 656 660 682 685 704 706 715 744 775 780 800 806 820 822 825 832 858 880 902 930 960 975 984 992 1023 1025 1040 1056 1059 1066 1096 1100 1144 1200 1209 1230 1240 1248 1271 1300 1312 1320 1353 1364 1370 1412 1430 1488 1507 1550 1560 1599 1600 1612 1640 1644 1650 1705 1716 1760 1765 1781 1804 1860 1950 1968 1984 2015 2046 2050 2055 2080 2112 2118 2132 2145 2192 2200 2255 2288 2325 2400 2418 2460 2480 2496 2542 2600 2624 2640 2665 2706 2728 2740 2824 2860 2976 3014 3075 3100 3120 3198 3224 3280 3288 3300 3410 3425 3432 3520 3530 3562 3575 3608 3720 3813 3883 3900 3936 4030 4092 4100 4110 4160 4236 4247 4264 4290 4384 4400 4433 4510 4521 4576 4589 4650 4800 4836 4920 4960 5084 5115 5200 5280 5295 5330 5343 5412 5456 5480 5617 5648 5720 5863 5952 6028 6045 6150 6200 6240 6355 6396 6448 6560 6576 6600 6765 6820 6850 6864 7060 7124 7150 7216 7440 7535 7626 7766 7800 7872 7995 8060 8184 8200 8220 8472 8494 8525 8528 8580 8768 8800 8825 8866 8905 9020 9042 9152 9178 9300 9672 9840 9920 10075 10168 10230 10275 10400 10560 10590 10660 10686 10725 10824 10912 10943 10960 11234 11275 11296 11440 11649 11726 12056 12090 12300 12400 12480 12710 12741 12792 12896 13120 13152 13200 13299 13325 13530 13640 13700 13728 13767 13981 14120 14248 14300 14432 14473 14880 15070 15252 15532 15600 15990 16120 16368 16400 16440 16523 16851 16944 16988 17050 17056 17160 17589 17600 17650 17732 17810 18040 18084 18356 18600 19065 19344 19415 19591 19680 20150 20336 20460 20550 20800 21180 21235 21320 21372 21450 21648 21824 21886 21920 22165 22468 22550 22592 22605 22880 22945 23298 23452 24112 24180 24600 24800 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19177651272 19247642700 19669385920 19789321200 19920128800 19976720075 20284054230 20530818880 20580894048 20621130400 20938378560 21265540725 21438431300 21636324512 22683243440 23387379600 23689406400 23904154560 23972064090 24586732400 24745356480 25570201696 25663523600 25726117560 26172973200 26369270499 26385761600 27045405640 27219892128 27996571200 28354054300 29504078880 29880193200 30796228320 30931695600 31183172800 31962752120 32157646950 32454486768 33194990400 33806757050 34024865160 34301490080 34897297600 35159027332 36880098600 38355302544 38495285400 39578642400 39840257600 39953440150 40568108460 41161788096 41242260800 42531081450 42876862600 43272649024 43948784165 45366486880 46774759200 47944128180 49173464800 50710135575 51140403392 51327047200 51452235120 52345946400 52738540998 54090811280 54439784256 56708108600 59008157760 59760386400 59930160225 61592456640 61863391200 63925504240 64315293900 64908973536 67613514100 68049730320 68602980160 70318054664 73760197200 76710605088 76990570800 79157284800 79906880300 81136216920 85062162900 85753725200 87897568330 90732973760 93549518400 95888256360 98346929600 101420271150 102654094400 102904470240 104691892800 105477081996 108181622560 113416217200 119520772800 119860320450 123726782400 127851008480 128630587800 129817947072 131846352495 135227028200 136099460640 140636109328 147520394400 153421210176 153981141600 159813760600 162272433840 170124325800 171507450400 175795136660 191776512720 202840542300 205808940480 210954163992 216363245120 219743920825 226832434400 239720640900 255702016960 257261175600 263692704990 270454056400 272198921280 281272218656 295040788800 307962283200 319627521200 324544867680 340248651600 343014900800 351590273320 383553025440 405681084600 421908327984 439487841650 453664868800 479441281800 514522351200 527385409980 540908112800 562544437312 639255042400 649089735360 659231762475 680497303200 703180546640 767106050880 811362169200 843816655968 878975683300 958882563600 1029044702400 1054770819960 1081816225600 1278510084800 1318463524950 1360994606400 1406361093280 1622724338400 1687633311936 1757951366600 1917765127200 2109541639920 2636927049900 2812722186560 3245448676800 3515902733200 3835530254400 4219083279840 5273854099800 7031805466400 8438166559680 10547708199600 14063610932800 21095416399200 42190832798400
- Sum of all divisors σ(n): 173706594066432
- Sum of proper divisors (its aliquot sum) s(n): 131515761268032
- 42190832798400 is an abundant number, because the sum of its proper divisors (131515761268032) is greater than itself. Its abundance is 89324928469632
Bases of 42190832798400
- Binary: 10011001011111010100011001101000001010110000002
- Hexadecimal: 0x265F519A0AC0
- Base-36: EYE78IH1C
Squares and roots of 42190832798400
- 42190832798400 squared (421908327984002) is 1780066372222545175042560000
- 42190832798400 cubed (421908327984003) is 75102482680495861675111309563899904000000
-
The
square root of 42190832798400 is 6495447.0822569249 -
The
cube root of 42190832798400 is 34812.8329378733
Scales and comparisons
How big is 42190832798400?- 42,190,832,798,400 seconds is equal to 1,341,537 years, 50 weeks, 6 days, 1 hour, 20 minutes.
-
To count from 1 to 42,190,832,798,400 would take you about three million, three hundred fifty-three thousand, eight hundred forty-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 42190832798400 cubic inches would be around 2901.1 feet tall.
Recreational maths with 42190832798400
- 42190832798400 backwards is 00489723809124
- The number of decimal digits it has is: 14
- The sum of 42190832798400's digits is 57
- More coming soon!
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"Number 42190832798400 - Facts about the integer". Numbermatics.com. 2024. Web. 4 June 2024.
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Numbermatics. (2024). Number 42190832798400 - Facts about the integer. Retrieved 4 June 2024, from https://numbermatics.com/n/42190832798400/
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The information we have on file for 42190832798400 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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