40772228059664640
40,772,228,059,664,640 is an even composite number composed of six prime numbers multiplied together.
40772228059664640 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of five hundred seventy-six divisors.
Prime factorization of 40772228059664640:
28 × 33 × 5 × 7 × 11 × 15321454147
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 5 × 7 × 11 × 15321454147)See below for interesting mathematical facts about the number 40772228059664640 from the Numbermatics database.
Names of 40772228059664640
- Cardinal: 40772228059664640 can be written as Forty quadrillion, seven hundred seventy-two trillion, two hundred twenty-eight billion, fifty-nine million, six hundred sixty-four thousand, six hundred forty.
Scientific notation
- Scientific notation: 4.077222805966464 × 1016
Factors of 40772228059664640
- Number of distinct prime factors ω(n): 6
- Total number of prime factors Ω(n): 15
- Sum of prime factors: 15321454175
Divisors of 40772228059664640
- Number of divisors d(n): 576
-
Complete list of divisors:
1 2 3 4 5 6 7 8 9 10 11 12 14 15 16 18 20 21 22 24 27 28 30 32 33 35 36 40 42 44 45 48 54 55 56 60 63 64 66 70 72 77 80 84 88 90 96 99 105 108 110 112 120 126 128 132 135 140 144 154 160 165 168 176 180 189 192 198 210 216 220 224 231 240 252 256 264 270 280 288 297 308 315 320 330 336 352 360 378 384 385 396 420 432 440 448 462 480 495 504 528 540 560 576 594 616 630 640 660 672 693 704 720 756 768 770 792 840 864 880 896 924 945 960 990 1008 1056 1080 1120 1152 1155 1188 1232 1260 1280 1320 1344 1386 1408 1440 1485 1512 1540 1584 1680 1728 1760 1792 1848 1890 1920 1980 2016 2079 2112 2160 2240 2304 2310 2376 2464 2520 2640 2688 2772 2816 2880 2970 3024 3080 3168 3360 3456 3465 3520 3696 3780 3840 3960 4032 4158 4224 4320 4480 4620 4752 4928 5040 5280 5376 5544 5760 5940 6048 6160 6336 6720 6912 6930 7040 7392 7560 7920 8064 8316 8448 8640 8960 9240 9504 9856 10080 10395 10560 11088 11520 11880 12096 12320 12672 13440 13860 14080 14784 15120 15840 16128 16632 17280 18480 19008 19712 20160 20790 21120 22176 23760 24192 24640 25344 26880 27720 29568 30240 31680 33264 34560 36960 38016 40320 41580 42240 44352 47520 48384 49280 55440 59136 60480 63360 66528 73920 76032 80640 83160 88704 95040 98560 110880 120960 126720 133056 147840 166320 177408 190080 221760 241920 266112 295680 332640 380160 443520 532224 665280 887040 1330560 2661120 15321454147 30642908294 45964362441 61285816588 76607270735 91928724882 107250179029 122571633176 137893087323 153214541470 168535995617 183857449764 214500358058 229821812205 245143266352 275786174646 306429082940 321750537087 337071991234 367714899528 413679261969 429000716116 459643624410 490286532704 505607986851 536250895145 551572349292 612858165880 643501074174 674143982468 689465436615 735429799056 827358523938 842679978085 858001432232 919287248820 965251611261 980573065408 1011215973702 1072501790290 1103144698584 1179751969319 1225716331760 1287002148348 1348287964936 1378930873230 1470859598112 1516823960553 1608752685435 1654717047876 1685359956170 1716002864464 1838574497640 1930503222522 1961146130816 2022431947404 2068396309845 2145003580580 2206289397168 2359503938638 2451432663520 2528039934255 2574004296696 2696575929872 2757861746460 2895754833783 2941719196224 3033647921106 3217505370870 3309434095752 3370719912340 3432005728928 3539255907957 3677148995280 3861006445044 3922292261632 4044863894808 4136792619690 4290007161160 4412578794336 4550471881659 4719007877276 4826258056305 4902865327040 5056079868510 5148008593392 5393151859744 5515723492920 5791509667566 5883438392448 5898759846595 6067295842212 6435010741740 6618868191504 6741439824680 6864011457856 7078511815914 7354297990560 7584119802765 7722012890088 8089727789616 8273585239380 8580014322320 8825157588672 9100943763318 9438015754552 9652516112610 9805730654080 10112159737020 10296017186784 10617767723871 10786303719488 11031446985840 11583019335132 11766876784896 11797519693190 12134591684424 12870021483480 13237736383008 13482879649360 13728022915712 14157023631828 14478774168915 14708595981120 15168239605530 15444025780176 16179455579232 16547170478760 17160028644640 17650315177344 17696279539785 18201887526636 18876031509104 19305032225220 19611461308160 20224319474040 20592034373568 21235535447742 21572607438976 22062893971680 22752359408295 23166038670264 23595039386380 24269183368848 25740042966960 26475472766016 26965759298720 27456045831424 28314047263656 28957548337830 29417191962240 30336479211060 30888051560352 31853303171613 32358911158464 33094340957520 34320057289280 35300630354688 35392559079570 36403775053272 37752063018208 38610064450440 40448638948080 41184068747136 42471070895484 43145214877952 44125787943360 45504718816590 46332077340528 47190078772760 48538366737696 51480085933920 52950945532032 53088838619355 53931518597440 56628094527312 57915096675660 58834383924480 60672958422120 61776103120704 63706606343226 64717822316928 66188681915040 68640114578560 70785118159140 72807550106544 75504126036416 77220128900880 80897277896160 82368137494272 84942141790968 88251575886720 91009437633180 92664154681056 94380157545520 97076733475392 102960171867840 105901891064064 106177677238710 107863037194880 113256189054624 115830193351320 121345916844240 123552206241408 127413212686452 129435644633856 132377363830080 137280229157120 141570236318280 145615100213088 151008252072832 154440257801760 159266515858065 161794555792320 169884283581936 176503151773440 182018875266360 185328309362112 188760315091040 194153466950784 205920343735680 212355354477420 215726074389760 226512378109248 231660386702640 242691833688480 247104412482816 254826425372904 264754727660160 283140472636560 291230200426176 302016504145664 308880515603520 318533031716130 323589111584640 339768567163872 364037750532720 370656618724224 377520630182080 388306933901568 411840687471360 424710708954840 453024756218496 463320773405280 485383667376960 509652850745808 529509455320320 566280945273120 582460400852352 617761031207040 637066063432260 647178223169280 679537134327744 728075501065440 741313237448448 755041260364160 849421417909680 906049512436992 926641546810560 970767334753920 1019305701491616 1132561890546240 1164920801704704 1235522062414080 1274132126864520 1359074268655488 1456151002130880 1510082520728320 1698842835819360 1853283093621120 1941534669507840 2038611402983232 2265123781092480 2548264253729040 2718148537310976 2912302004261760 3397685671638720 3706566187242240 4077222805966464 4530247562184960 5096528507458080 5824604008523520 6795371343277440 8154445611932928 10193057014916160 13590742686554880 20386114029832320 40772228059664640
- Sum of all divisors σ(n): 180386221124229120
- Sum of proper divisors (its aliquot sum) s(n): 139613993064564480
- 40772228059664640 is an abundant number, because the sum of its proper divisors (139613993064564480) is greater than itself. Its abundance is 98841765004899840
Bases of 40772228059664640
- Binary: 100100001101101000100000000110100011001010010001000000002
- Hexadecimal: 0x90DA201A329100
- Base-36: B5GJQZQZPC0
Squares and roots of 40772228059664640
- 40772228059664640 squared (407722280596646402) is 1662374580949304614795709266329600
- 40772228059664640 cubed (407722280596646403) is 67778715535054485113393949720627841269019705344000
-
The
square root of 40772228059664640 is 201921341.2684866255 -
The
cube root of 40772228059664640 is 344181.9955362845
Scales and comparisons
How big is 40772228059664640?- 40,772,228,059,664,640 seconds is equal to 1,296,430,735 years, 26 weeks, 5 days, 14 hours, 24 minutes.
-
To count from 1 to 40,772,228,059,664,640 would take you about three billion, eight hundred eighty-nine million, two hundred ninety-two thousand, two hundred 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 40772228059664640 cubic inches would be around 28681.8 feet tall.
Recreational maths with 40772228059664640
- 40772228059664640 backwards is 04646695082227704
- 40772228059664640 is a
Harshad number . - The number of decimal digits it has is: 17
- The sum of 40772228059664640's digits is 72
- More coming soon!
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The information we have on file for 40772228059664640 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!
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