40947950444108400
40,947,950,444,108,400 is an even composite number composed of six prime numbers multiplied together.
What does the number 40947950444108400 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 600 divisors.
40947950444108400 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of six hundred divisors.
Prime factorization of 40947950444108400:
24 × 34 × 52 × 7 × 11 × 16413319883
(2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 5 × 5 × 7 × 11 × 16413319883)See below for interesting mathematical facts about the number 40947950444108400 from the Numbermatics database.
Names of 40947950444108400
- Cardinal: 40947950444108400 can be written as Forty quadrillion, nine hundred forty-seven trillion, nine hundred fifty billion, four hundred forty-four million, one hundred eight thousand, four hundred.
Scientific notation
- Scientific notation: 4.09479504441084 × 1016
Factors of 40947950444108400
- Number of distinct prime factors ω(n): 6
- Total number of prime factors Ω(n): 13
- Sum of prime factors: 16413319911
Divisors of 40947950444108400
- Number of divisors d(n): 600
-
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 27 28 30 33 35 36 40 42 44 45 48 50 54 55 56 60 63 66 70 72 75 77 80 81 84 88 90 99 100 105 108 110 112 120 126 132 135 140 144 150 154 162 165 168 175 176 180 189 198 200 210 216 220 225 231 240 252 264 270 275 280 297 300 308 315 324 330 336 350 360 378 385 396 400 405 420 432 440 450 462 495 504 525 528 540 550 560 567 594 600 616 630 648 660 675 693 700 720 756 770 792 810 825 840 880 891 900 924 945 990 1008 1050 1080 1100 1134 1155 1188 1200 1232 1260 1296 1320 1350 1386 1400 1485 1512 1540 1575 1584 1620 1650 1680 1782 1800 1848 1890 1925 1980 2025 2079 2100 2160 2200 2268 2310 2376 2475 2520 2640 2700 2772 2800 2835 2970 3024 3080 3150 3240 3300 3465 3564 3600 3696 3780 3850 3960 4050 4158 4200 4400 4455 4536 4620 4725 4752 4950 5040 5400 5544 5670 5775 5940 6160 6237 6300 6480 6600 6930 7128 7425 7560 7700 7920 8100 8316 8400 8910 9072 9240 9450 9900 10395 10800 11088 11340 11550 11880 12474 12600 13200 13860 14175 14256 14850 15120 15400 16200 16632 17325 17820 18480 18900 19800 20790 22275 22680 23100 23760 24948 25200 27720 28350 29700 30800 31185 32400 33264 34650 35640 37800 39600 41580 44550 45360 46200 49896 51975 55440 56700 59400 62370 69300 71280 75600 83160 89100 92400 99792 103950 113400 118800 124740 138600 155925 166320 178200 207900 226800 249480 277200 311850 356400 415800 498960 623700 831600 1247400 2494800 16413319883 32826639766 49239959649 65653279532 82066599415 98479919298 114893239181 131306559064 147719878947 164133198830 180546518713 196959838596 229786478362 246199798245 262613118128 295439757894 328266397660 344679717543 361093037426 393919677192 410332997075 443159636841 459572956724 492399596490 541639556139 574466195905 590879515788 656532795320 689359435086 722186074852 738599394735 787839354384 820665994150 886319273682 902732593565 919145913448 984799192980 1034039152629 1083279112278 1148932391810 1181759031576 1230998991225 1263825630991 1313065590640 1329478910523 1378718870172 1444372149704 1477198789470 1624918668417 1641331988300 1723398587715 1772638547364 1805465187130 1838291826896 1969598385960 2068078305258 2166558224556 2215798184205 2297864783620 2363518063152 2461997982450 2527651261982 2658957821046 2708197780695 2757437740344 2872330979525 2888744299408 2954397578940 3102117457887 3249837336834 3282663976600 3446797175430 3545277094728 3610930374260 3692996973675 3791476892973 3939196771920 4136156610516 4333116449112 4431596368410 4513662967825 4595729567240 4874756005251 4923995964900 5055302523964 5170195763145 5317915642092 5416395561390 5514875480688 5744661959050 5908795157880 6204234915774 6319128154955 6499674673668 6565327953200 6647394552615 6893594350860 7090554189456 7221860748520 7385993947350 7582953785946 8124593342085 8272313221032 8616992938575 8666232898224 8863192736820 9027325935650 9191459134480 9306352373661 9749512010502 9847991929800 10110605047928 10340391526290 10635831284184 10832791122780 11078990921025 11374430678919 11489323918100 11817590315760 12408469831548 12638256309910 12999349347336 13294789105230 13540988903475 13787188701720 14443721497040 14624268015753 14771987894700 15165907571892 15510587289435 16249186684170 16544626442064 17233985877150 17726385473640 18054651871300 18612704747322 18957384464865 19499024021004 19695983859600 20221210095856 20680783052580 21271662568368 21665582245560 22157981842050 22748861357838 22978647836200 24373780026255 24816939663096 25276512619820 25850978815725 25998698694672 26589578210460 27081977806950 27574377403440 29248536031506 29543975789400 30331815143784 31021174578870 31595640774775 32498373368340 33236972763075 34123292036757 34467971754300 35452770947280 36109303742600 37225409494644 37914768929730 38998048042008 40622966710425 41361566105160 43331164491120 44315963684100 45497722715676 45957295672400 46531761868305 48747560052510 49633879326192 50553025239640 51701957631450 53179156420920 54163955613900 56872153394595 58497072063012 59087951578800 60663630287568 62042349157740 63191281549550 64996746736680 66473945526150 68246584073514 68935943508600 72218607485200 73121340078765 74450818989288 75829537859460 77552936447175 77996096084016 81245933420850 82723132210320 88631927368200 90995445431352 93063523736610 94786922324325 97495120105020 101106050479280 102369876110271 103403915262900 106358312841840 108327911227800 113744306789190 116994144126024 121868900131275 124084698315480 126382563099100 129993493473360 132947891052300 136493168147028 137871887017200 146242680157530 148901637978576 151659075718920 155105872894350 162491866841700 170616460183785 177263854736400 181990890862704 186127047473220 189573844648650 194990240210040 204739752220542 206807830525800 216655822455600 227488613578380 232658809341525 233988288252048 243737800262550 248169396630960 252765126198200 265895782104600 272986336294056 284360766972975 292485360315060 303318151437840 310211745788700 324983733683400 341232920367570 365606700393825 372254094946440 379147689297300 389980480420080 409479504441084 413615661051600 454977227156760 465317618683050 487475600525100 505530252396400 511849380551355 531791564209200 545972672588112 568721533945950 584970720630120 620423491577400 649967467366800 682465840735140 731213400787650 744508189892880 758295378594600 818959008882168 853082300918925 909954454313520 930635237366100 974951201050200 1023698761102710 1137443067891900 1169941441260240 1240846983154800 1364931681470280 1462426801575300 1516590757189200 1637918017764336 1706164601837850 1861270474732200 1949902402100400 2047397522205420 2274886135783800 2559246902756775 2729863362940560 2924853603150600 3412329203675700 3722540949464400 4094795044410840 4549772271567600 5118493805513550 5849707206301200 6824658407351400 8189590088821680 10236987611027100 13649316814702800 20473975222054200 40947950444108400
- Sum of all divisors σ(n): 183221495945414784
- Sum of proper divisors (its aliquot sum) s(n): 142273545501306384
- 40947950444108400 is an abundant number, because the sum of its proper divisors (142273545501306384) is greater than itself. Its abundance is 101325595057197984
Bases of 40947950444108400
- Binary: 100100010111100111110001101010001000000001011010011100002
- Hexadecimal: 0x9179F1A8805A70
- Base-36: B76U4QPO700
Squares and roots of 40947950444108400
- 40947950444108400 squared (409479504441084002) is 1676734645573157312792270950560000
- 40947950444108400 cubed (409479504441084003) is 68658847174849307656414248402458336219680704000000
-
The
square root of 40947950444108400 is 202355999.2787671221 -
The
cube root of 40947950444108400 is 344675.7450310751
Scales and comparisons
How big is 40947950444108400?- 40,947,950,444,108,400 seconds is equal to 1,302,018,163 years, 41 weeks, 2 days, 15 hours.
-
To count from 1 to 40,947,950,444,108,400 would take you about three billion, nine hundred six million, fifty-four thousand, four hundred ninety-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 40947950444108400 cubic inches would be around 28723 feet tall.
Recreational maths with 40947950444108400
- 40947950444108400 backwards is 00480144405974904
- 40947950444108400 is a
Harshad number . - The number of decimal digits it has is: 17
- The sum of 40947950444108400's digits is 63
- More coming soon!
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