40985069908640
40,985,069,908,640 is an even composite number composed of six prime numbers multiplied together.
What does the number 40985069908640 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 432 divisors.
40985069908640 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of four hundred thirty-two divisors.
Prime factorization of 40985069908640:
25 × 5 × 11 × 132 × 19 × 26932
(2 × 2 × 2 × 2 × 2 × 5 × 11 × 13 × 13 × 19 × 2693 × 2693)See below for interesting mathematical facts about the number 40985069908640 from the Numbermatics database.
Names of 40985069908640
- Cardinal: 40985069908640 can be written as Forty trillion, nine hundred eighty-five billion, sixty-nine million, nine hundred eight thousand, six hundred forty.
Scientific notation
- Scientific notation: 4.098506990864 × 1013
Factors of 40985069908640
Divisors of 40985069908640
- Number of divisors d(n): 432
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Complete list of divisors:
1 2 4 5 8 10 11 13 16 19 20 22 26 32 38 40 44 52 55 65 76 80 88 95 104 110 130 143 152 160 169 176 190 208 209 220 247 260 286 304 338 352 380 416 418 440 494 520 572 608 676 715 760 836 845 880 988 1040 1045 1144 1235 1352 1430 1520 1672 1690 1760 1859 1976 2080 2090 2288 2470 2693 2704 2717 2860 3040 3211 3344 3380 3718 3952 4180 4576 4940 5386 5408 5434 5720 6422 6688 6760 7436 7904 8360 9295 9880 10772 10868 11440 12844 13465 13520 13585 14872 16055 16720 18590 19760 21544 21736 22880 25688 26930 27040 27170 29623 29744 32110 33440 35009 35321 37180 39520 43088 43472 51167 51376 53860 54340 59246 59488 64220 70018 70642 74360 86176 86944 102334 102752 107720 108680 118492 128440 140036 141284 148115 148720 175045 176605 204668 215440 217360 236984 255835 256880 280072 282568 296230 297440 350090 353210 385099 409336 430880 434720 455117 473968 511670 513760 560144 562837 565136 592460 665171 700180 706420 770198 818672 910234 947936 1023340 1120288 1125674 1130272 1184920 1330342 1400360 1412840 1540396 1637344 1820468 1925495 2046680 2251348 2275585 2369840 2660684 2800720 2814185 2825680 3080792 3325855 3640936 3850990 4093360 4502696 4551170 4739680 5006287 5321368 5601440 5628370 5651360 6161584 6651710 7252249 7281872 7316881 7701980 8186720 8647223 9005392 9102340 10012574 10642736 11256740 12323168 13303420 14504498 14563744 14633762 15403960 17294446 18010784 18204680 20025148 21285472 22513480 25031435 26606840 29008996 29267524 30807920 34588892 36261245 36409360 36584405 40050296 43236115 45026960 50062870 53213680 58017992 58535048 61615840 69177784 72522490 72818720 73168810 79774739 80100592 86472230 90053920 94279237 95119453 100125740 106427360 116035984 117070096 137792731 138355568 145044980 146337620 159549478 160201184 172944460 188558474 190238906 200251480 232071968 234140192 275585462 276711136 290089960 292675240 319098956 345888920 377116948 380477812 398873695 400502960 471396185 475597265 551170924 580179920 585350480 638197912 688963655 691777840 754233896 760955624 797747390 801005920 942792370 951194530 1037071607 1102341848 1160359840 1170700960 1225630081 1276395824 1377927310 1383555680 1508467792 1515720041 1521911248 1595494780 1791305503 1885584740 1902389060 2074143214 2204683696 2451260162 2552791648 2755854620 3016935584 3031440082 3043822496 3190989560 3582611006 3771169480 3804778120 4148286428 4409367392 4902520324 5185358035 5511709240 6062880164 6128150405 6381979120 7165222012 7542338960 7578600205 7609556240 8296572856 8956527515 9805040648 10370716070 11023418480 12125760328 12256300810 12763958240 13481930891 14330444024 15084677920 15157200410 15219112480 16593145712 17913055030 19610081296 19704360533 20741432140 22046836960 23286971539 24251520656 24512601620 26963861782 28660888048 30314400820 33186291424 35826110060 39220162592 39408721066 41482864280 46573943078 48503041312 49025203240 53927723564 57321776096 60628801640 67409654455 71652220120 78817442132 82965728560 93147886156 98050406480 98521802665 107855447128 116434857695 121257603280 134819308910 143304440240 157634884264 165931457120 186295772312 196100812960 197043605330 215710894256 232869715390 242515206560 256156686929 269638617820 286608880480 315269768528 372591544624 394087210660 431421788512 465739430780 512313373858 539277235640 630539537056 745183089248 788174421320 931478861560 1024626747716 1078554471280 1280783434645 1576348842640 1862957723120 2049253495432 2157108942560 2561566869290 3152697685280 3725915446240 4098506990864 5123133738580 8197013981728 10246267477160 20492534954320 40985069908640
- Sum of all divisors σ(n): 120444822499680
- Sum of proper divisors (its aliquot sum) s(n): 79459752591040
- 40985069908640 is an abundant number, because the sum of its proper divisors (79459752591040) is greater than itself. Its abundance is 38474682682400
Bases of 40985069908640
- Binary: 10010101000110100101001000100001110010101000002
- Hexadecimal: 0x2546948872A0
- Base-36: EJ0A4F4WW
Squares and roots of 40985069908640
- 40985069908640 squared (409850699086402) is 1679775955416108017946649600
- 40985069908640 cubed (409850699086403) is 68845734963581734956289061601866092544000
-
The
square root of 40985069908640 is 6401958.2870118733 -
The
cube root of 40985069908640 is 34477.9863510835
Scales and comparisons
How big is 40985069908640?- 40,985,069,908,640 seconds is equal to 1,303,198 years, 23 weeks, 2 days, 1 hour, 17 minutes, 20 seconds.
-
To count from 1 to 40,985,069,908,640 would take you about three million, two hundred fifty-seven thousand, nine hundred ninety-six 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 40985069908640 cubic inches would be around 2873.2 feet tall.
Recreational maths with 40985069908640
- 40985069908640 backwards is 04680996058904
- The number of decimal digits it has is: 14
- The sum of 40985069908640's digits is 68
- More coming soon!
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