9972872078400000
9,972,872,078,400,000 is an even composite number composed of seven prime numbers multiplied together.
What does the number 9972872078400000 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 11520 divisors.
9972872078400000 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of eleven thousand, five hundred twenty divisors.
Prime factorization of 9972872078400000:
29 × 32 × 55 × 73 × 113 × 37 × 41
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 5 × 5 × 5 × 5 × 7 × 7 × 7 × 11 × 11 × 11 × 37 × 41)See below for interesting mathematical facts about the number 9972872078400000 from the Numbermatics database.
Names of 9972872078400000
- Cardinal: 9972872078400000 can be written as Nine quadrillion, nine hundred seventy-two trillion, eight hundred seventy-two billion, seventy-eight million, four hundred thousand.
Scientific notation
- Scientific notation: 9.9728720784 × 1015
Factors of 9972872078400000
Divisors of 9972872078400000
- Number of divisors d(n): 11520
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Complete list of divisors:
1 2 3 4 5 6 7 8 9 10 11 12 14 15 16 18 20 21 22 24 25 28 30 32 33 35 36 37 40 41 42 44 45 48 49 50 55 56 60 63 64 66 70 72 74 75 77 80 82 84 88 90 96 98 99 100 105 110 111 112 120 121 123 125 126 128 132 140 144 147 148 150 154 160 164 165 168 175 176 180 185 192 196 198 200 205 210 220 222 224 225 231 240 242 245 246 250 252 256 259 264 275 280 287 288 294 296 300 308 315 320 328 330 333 336 343 350 352 360 363 369 370 375 384 385 392 396 400 407 410 420 440 441 444 448 450 451 462 480 484 490 492 495 500 504 512 518 525 528 539 550 555 560 574 576 588 592 600 605 615 616 625 630 640 656 660 666 672 686 693 700 704 720 726 735 738 740 750 768 770 777 784 792 800 814 820 825 840 847 861 875 880 882 888 896 900 902 924 925 960 968 980 984 990 1000 1008 1025 1029 1036 1050 1056 1078 1089 1100 1110 1120 1125 1148 1152 1155 1176 1184 1200 1210 1221 1225 1230 1232 1250 1260 1280 1295 1312 1320 1331 1332 1344 1353 1372 1375 1386 1400 1408 1435 1440 1452 1470 1476 1480 1500 1517 1536 1540 1554 1568 1575 1584 1600 1617 1628 1640 1650 1665 1680 1694 1715 1722 1750 1760 1764 1776 1792 1800 1804 1813 1815 1845 1848 1850 1875 1920 1925 1936 1960 1968 1980 2000 2009 2016 2035 2050 2058 2072 2100 2112 2156 2178 2200 2205 2220 2240 2250 2255 2296 2304 2310 2331 2352 2368 2400 2420 2442 2450 2460 2464 2475 2500 2520 2541 2560 2583 2590 2624 2625 2640 2662 2664 2688 2695 2706 2744 2750 2772 2775 2800 2816 2849 2870 2880 2904 2940 2952 2960 3000 3025 3034 3075 3080 3087 3108 3125 3136 3150 3157 3168 3200 3234 3256 3280 3300 3330 3360 3388 3430 3444 3465 3500 3520 3528 3552 3584 3600 3608 3626 3630 3663 3675 3690 3696 3700 3750 3773 3840 3850 3872 3885 3920 3936 3960 3993 4000 4018 4032 4059 4070 4100 4116 4125 4144 4200 4224 4235 4305 4312 4356 4375 4400 4410 4440 4477 4480 4500 4510 4551 4592 4608 4620 4625 4662 4704 4736 4800 4840 4851 4884 4900 4920 4928 4950 4961 5000 5040 5082 5125 5145 5166 5180 5248 5250 5280 5324 5328 5376 5390 5412 5439 5445 5488 5500 5544 5550 5600 5625 5632 5698 5740 5760 5775 5808 5880 5904 5920 5929 6000 6027 6050 6068 6105 6125 6150 6160 6174 6216 6250 6272 6300 6314 6336 6400 6468 6475 6512 6560 6600 6655 6660 6720 6765 6776 6860 6875 6888 6930 7000 7040 7056 7104 7175 7200 7216 7252 7260 7326 7350 7380 7392 7400 7500 7546 7585 7623 7680 7700 7744 7770 7840 7872 7875 7920 7986 8000 8036 8064 8085 8118 8140 8200 8232 8250 8288 8325 8400 8448 8470 8547 8575 8610 8624 8712 8750 8800 8820 8880 8954 8960 9000 9020 9065 9075 9102 9184 9225 9240 9250 9317 9324 9375 9408 9471 9472 9600 9625 9680 9702 9768 9800 9840 9856 9900 9922 10000 10045 10080 10164 10175 10250 10290 10332 10360 10496 10500 10560 10619 10648 10656 10752 10780 10824 10878 10890 10976 11000 11025 11088 11100 11200 11250 11275 11319 11396 11480 11520 11550 11616 11655 11760 11808 11840 11858 11979 12000 12054 12100 12136 12210 12250 12300 12320 12348 12375 12432 12500 12544 12600 12628 12672 12691 12705 12800 12915 12936 12950 13024 13120 13125 13200 13310 13320 13431 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203528001600000 207768168300000 221619379520000 226656183600000 237449335200000 243240782400000 249321801960000 269537083200000 277024224400000 284939202240000 302208244800000 311652252450000 332429069280000 356174002800000 398914883136000 415536336600000 453312367200000 474898670400000 498643603920000 554048448800000 623304504900000 664858138560000 712348005600000 831072673200000 906624734400000 997287207840000 1108096897600000 1246609009800000 1424696011200000 1662145346400000 1994574415680000 2493218019600000 3324290692800000 4986436039200000 9972872078400000
- Sum of all divisors σ(n): 48549546780134400
- Sum of proper divisors (its aliquot sum) s(n): 38576674701734400
- 9972872078400000 is an abundant number, because the sum of its proper divisors (38576674701734400) is greater than itself. Its abundance is 28603802623334400
Bases of 9972872078400000
- Binary: 1000110110111001000110001110011001111110011010000000002
- Hexadecimal: 0x236E46399F9A00
- Base-36: 2Q7366NJWG0
Squares and roots of 9972872078400000
- 9972872078400000 squared (99728720784000002) is 99458177492130335746560000000000
- 9972872078400000 cubed (99728720784000003) is 991883681279817961100485642850304000000000000000
-
The
square root of 9972872078400000 is 99864268.2764961735 -
The
cube root of 9972872078400000 is 215248.4747859405
Scales and comparisons
How big is 9972872078400000?- 9,972,872,078,400,000 seconds is equal to 317,106,483 years, 50 weeks, 4 days, 16 hours.
-
To count from 1 to 9,972,872,078,400,000 would take you about nine hundred fifty-one million, three hundred nineteen thousand, four hundred fifty-one 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 9972872078400000 cubic inches would be around 17937.4 feet tall.
Recreational maths with 9972872078400000
- 9972872078400000 backwards is 0000048702782799
- 9972872078400000 is a
Harshad number . - The number of decimal digits it has is: 16
- The sum of 9972872078400000's digits is 63
- More coming soon!
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The information we have on file for 9972872078400000 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!
Keywords: Divisors of 9972872078400000, math, Factors of 9972872078400000, curriculum, school, college, exams, university, Prime factorization of 9972872078400000, STEM, science, technology, engineering, physics, economics, calculator, nine quadrillion, nine hundred seventy-two trillion, eight hundred seventy-two billion, seventy-eight million, four hundred thousand.