42575984640
42,575,984,640 is an even composite number composed of five prime numbers multiplied together.
What does the number 42575984640 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 480 divisors.
42575984640 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of four hundred eighty divisors.
Prime factorization of 42575984640:
211 × 34 × 5 × 7 × 7333
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 5 × 7 × 7333)See below for interesting mathematical facts about the number 42575984640 from the Numbermatics database.
Names of 42575984640
- Cardinal: 42575984640 can be written as Forty-two billion, five hundred seventy-five million, nine hundred eighty-four thousand, six hundred forty.
Scientific notation
- Scientific notation: 4.257598464 × 1010
Factors of 42575984640
Divisors of 42575984640
- Number of divisors d(n): 480
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Complete list of divisors:
1 2 3 4 5 6 7 8 9 10 12 14 15 16 18 20 21 24 27 28 30 32 35 36 40 42 45 48 54 56 60 63 64 70 72 80 81 84 90 96 105 108 112 120 126 128 135 140 144 160 162 168 180 189 192 210 216 224 240 252 256 270 280 288 315 320 324 336 360 378 384 405 420 432 448 480 504 512 540 560 567 576 630 640 648 672 720 756 768 810 840 864 896 945 960 1008 1024 1080 1120 1134 1152 1260 1280 1296 1344 1440 1512 1536 1620 1680 1728 1792 1890 1920 2016 2048 2160 2240 2268 2304 2520 2560 2592 2688 2835 2880 3024 3072 3240 3360 3456 3584 3780 3840 4032 4320 4480 4536 4608 5040 5120 5184 5376 5670 5760 6048 6144 6480 6720 6912 7168 7333 7560 7680 8064 8640 8960 9072 9216 10080 10240 10368 10752 11340 11520 12096 12960 13440 13824 14336 14666 15120 15360 16128 17280 17920 18144 18432 20160 20736 21504 21999 22680 23040 24192 25920 26880 27648 29332 30240 30720 32256 34560 35840 36288 36665 40320 41472 43008 43998 45360 46080 48384 51331 51840 53760 55296 58664 60480 64512 65997 69120 71680 72576 73330 80640 82944 87996 90720 92160 96768 102662 103680 107520 109995 117328 120960 129024 131994 138240 145152 146660 153993 161280 165888 175992 181440 193536 197991 205324 207360 215040 219990 234656 241920 256655 263988 276480 290304 293320 307986 322560 329985 351984 362880 387072 395982 410648 414720 439980 461979 469312 483840 513310 527976 580608 586640 593973 615972 645120 659970 703968 725760 769965 791964 821296 829440 879960 923958 938624 967680 989955 1026620 1055952 1161216 1173280 1187946 1231944 1319940 1385937 1407936 1451520 1539930 1583928 1642592 1759920 1847916 1877248 1935360 1979910 2053240 2111904 2309895 2346560 2375892 2463888 2639880 2771874 2815872 2903040 2969865 3079860 3167856 3285184 3519840 3695832 3754496 3959820 4106480 4157811 4223808 4619790 4693120 4751784 4927776 5279760 5543748 5631744 5806080 5939730 6159720 6335712 6570368 6929685 7039680 7391664 7508992 7919640 8212960 8315622 8447616 9239580 9386240 9503568 9855552 10559520 11087496 11263488 11879460 12319440 12671424 13140736 13859370 14079360 14783328 15017984 15839280 16425920 16631244 16895232 18479160 18772480 19007136 19711104 20789055 21119040 22174992 22526976 23758920 24638880 25342848 26281472 27718740 28158720 29566656 31678560 32851840 33262488 33790464 36958320 37544960 38014272 39422208 41578110 42238080 44349984 45053952 47517840 49277760 50685696 52562944 55437480 56317440 59133312 63357120 65703680 66524976 67580928 73916640 75089920 76028544 78844416 83156220 84476160 88699968 95035680 98555520 101371392 105125888 110874960 112634880 118266624 126714240 131407360 133049952 135161856 147833280 152057088 157688832 166312440 168952320 177399936 190071360 197111040 202742784 221749920 225269760 236533248 253428480 262814720 266099904 295666560 304114176 315377664 332624880 337904640 354799872 380142720 394222080 405485568 443499840 473066496 506856960 525629440 532199808 591333120 608228352 665249760 675809280 709599744 760285440 788444160 886999680 946132992 1013713920 1064399616 1182666240 1216456704 1330499520 1419199488 1520570880 1576888320 1773999360 2027427840 2128799232 2365332480 2660999040 2838398976 3041141760 3547998720 4257598464 4730664960 5321998080 6082283520 7095997440 8515196928 10643996160 14191994880 21287992320 42575984640
- Sum of all divisors σ(n): 174430095840
- Sum of proper divisors (its aliquot sum) s(n): 131854111200
- 42575984640 is an abundant number, because the sum of its proper divisors (131854111200) is greater than itself. Its abundance is 89278126560
Bases of 42575984640
- Binary: 1001111010011011100111111000000000002
- Hexadecimal: 0x9E9B9F800
- Base-36: JK4N400
Squares and roots of 42575984640
- 42575984640 squared (425759846402) is 1812714468065515929600
- 42575984640 cubed (425759846403) is 77178103349063176732324921344000
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The
square root of 42575984640 is 206339.4888042519 -
The
cube root of 42575984640 is 3491.8445390811
Scales and comparisons
How big is 42575984640?- 42,575,984,640 seconds is equal to 1,353 years, 40 weeks, 5 days, 14 hours, 24 minutes.
-
To count from 1 to 42,575,984,640 would take you about two thousand, seven hundred seven 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 42575984640 cubic inches would be around 291 feet tall.
Recreational maths with 42575984640
- 42575984640 backwards is 04648957524
- 42575984640 is a
Harshad number . - The number of decimal digits it has is: 11
- The sum of 42575984640's digits is 54
- More coming soon!
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