40684135032573120
40,684,135,032,573,120 is an even composite number composed of six prime numbers multiplied together.
40684135032573120 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of three hundred thirty-six divisors.
Prime factorization of 40684135032573120:
26 × 32 × 5 × 11 × 769 × 1669988861
(2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 11 × 769 × 1669988861)See below for interesting mathematical facts about the number 40684135032573120 from the Numbermatics database.
Names of 40684135032573120
- Cardinal: 40684135032573120 can be written as Forty quadrillion, six hundred eighty-four trillion, one hundred thirty-five billion, thirty-two million, five hundred seventy-three thousand, one hundred twenty.
Scientific notation
- Scientific notation: 4.068413503257312 × 1016
Factors of 40684135032573120
- Number of distinct prime factors ω(n): 6
- Total number of prime factors Ω(n): 12
- Sum of prime factors: 1669989651
Divisors of 40684135032573120
- Number of divisors d(n): 336
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 11 12 15 16 18 20 22 24 30 32 33 36 40 44 45 48 55 60 64 66 72 80 88 90 96 99 110 120 132 144 160 165 176 180 192 198 220 240 264 288 320 330 352 360 396 440 480 495 528 576 660 704 720 769 792 880 960 990 1056 1320 1440 1538 1584 1760 1980 2112 2307 2640 2880 3076 3168 3520 3845 3960 4614 5280 6152 6336 6921 7690 7920 8459 9228 10560 11535 12304 13842 15380 15840 16918 18456 23070 24608 25377 27684 30760 31680 33836 34605 36912 42295 46140 49216 50754 55368 61520 67672 69210 73824 76131 84590 92280 101508 110736 123040 126885 135344 138420 147648 152262 169180 184560 203016 221472 246080 253770 270688 276840 304524 338360 369120 380655 406032 442944 507540 541376 553680 609048 676720 738240 761310 812064 1015080 1107360 1218096 1353440 1522620 1624128 2030160 2214720 2436192 2706880 3045240 4060320 4872384 6090480 8120640 12180960 24361920 1669988861 3339977722 5009966583 6679955444 8349944305 10019933166 13359910888 15029899749 16699888610 18369877471 20039866332 25049832915 26719821776 30059799498 33399777220 36739754942 40079732664 50099665830 53439643552 55109632413 60119598996 66799554440 73479509884 75149498745 80159465328 91849387355 100199331660 106879287104 110219264826 120239197992 133599108880 146959019768 150298997490 160318930656 165328897239 183698774710 200398663320 220438529652 240478395984 267198217760 275548162065 293918039536 300597994980 320637861312 330657794478 367397549420 400797326640 440877059304 480956791968 534396435520 551096324130 587836079072 601195989960 661315588956 734795098840 801594653280 826644486195 881754118608 961913583936 1102192648260 1175672158144 1202391979920 1284221434109 1322631177912 1469590197680 1603189306560 1653288972390 1763508237216 2204385296520 2404783959840 2568442868218 2645262355824 2939180395360 3306577944780 3527016474432 3852664302327 4408770593040 4809567919680 5136885736436 5290524711648 5878360790720 6421107170545 6613155889560 7705328604654 8817541186080 10273771472872 10581049423296 11557992906981 12842214341090 13226311779120 14126435775199 15410657209308 17635082372160 19263321511635 20547542945744 23115985813962 25684428682180 26452623558240 28252871550398 30821314418616 38526643023270 41095085891488 42379307325597 46231971627924 51368857364360 52905247116480 56505743100796 57789964534905 61642628837232 70632178875995 77053286046540 82190171782976 84758614651194 92463943255848 102737714728720 113011486201592 115579929069810 123285257674464 127137921976791 141264357751990 154106572093080 169517229302388 184927886511696 205475429457440 211896536627985 226022972403184 231159858139620 246570515348928 254275843953582 282528715503980 308213144186160 339034458604776 369855773023392 410950858914880 423793073255970 452045944806368 462319716279240 508551687907164 565057431007960 616426288372320 635689609883955 678068917209552 739711546046784 847586146511940 904091889612736 924639432558480 1017103375814328 1130114862015920 1232852576744640 1271379219767910 1356137834419104 1695172293023880 1849278865116960 2034206751628656 2260229724031840 2542758439535820 2712275668838208 3390344586047760 3698557730233920 4068413503257312 4520459448063680 5085516879071640 6780689172095520 8136827006514624 10171033758143280 13561378344191040 20342067516286560 40684135032573120
- Sum of all divisors σ(n): 152856485322821280
- Sum of proper divisors (its aliquot sum) s(n): 112172350290248160
- 40684135032573120 is an abundant number, because the sum of its proper divisors (112172350290248160) is greater than itself. Its abundance is 71488215257675040
Bases of 40684135032573120
- Binary: 100100001000101000000001010110001001110001001100110000002
- Hexadecimal: 0x908A01589C4CC0
- Base-36: B4LBLM55M80
Squares and roots of 40684135032573120
- 40684135032573120 squared (406841350325731202) is 1655198843348643423963408146534400
- 40684135032573120 cubed (406841350325731203) is 67340333248555051675646096179676280910042595328000
-
The
square root of 40684135032573120 is 201703086.3238664477 -
The
cube root of 40684135032573120 is 343933.9353723333
Scales and comparisons
How big is 40684135032573120?- 40,684,135,032,573,120 seconds is equal to 1,293,629,649 years, 38 weeks, 4 days, 15 hours, 12 minutes.
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To count from 1 to 40,684,135,032,573,120 would take you about three billion, eight hundred eighty million, eight hundred eighty-eight thousand, nine hundred forty-nine 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 40684135032573120 cubic inches would be around 28661.2 feet tall.
Recreational maths with 40684135032573120
- 40684135032573120 backwards is 02137523053148604
- The number of decimal digits it has is: 17
- The sum of 40684135032573120's digits is 54
- More coming soon!
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