40986748022000
40,986,748,022,000 is an even composite number composed of six prime numbers multiplied together.
40986748022000 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of seven hundred twenty divisors.
Prime factorization of 40986748022000:
24 × 53 × 11 × 312 × 612 × 521
(2 × 2 × 2 × 2 × 5 × 5 × 5 × 11 × 31 × 31 × 61 × 61 × 521)See below for interesting mathematical facts about the number 40986748022000 from the Numbermatics database.
Names of 40986748022000
- Cardinal: 40986748022000 can be written as Forty trillion, nine hundred eighty-six billion, seven hundred forty-eight million, twenty-two thousand.
Scientific notation
- Scientific notation: 4.0986748022 × 1013
Factors of 40986748022000
Divisors of 40986748022000
- Number of divisors d(n): 720
-
Complete list of divisors:
1 2 4 5 8 10 11 16 20 22 25 31 40 44 50 55 61 62 80 88 100 110 122 124 125 155 176 200 220 244 248 250 275 305 310 341 400 440 488 496 500 521 550 610 620 671 682 775 880 961 976 1000 1042 1100 1220 1240 1342 1364 1375 1525 1550 1705 1891 1922 2000 2084 2200 2440 2480 2605 2684 2728 2750 3050 3100 3355 3410 3721 3782 3844 3875 4168 4400 4805 4880 5210 5368 5456 5500 5731 6100 6200 6710 6820 7442 7564 7625 7688 7750 8336 8525 9455 9610 10420 10571 10736 11000 11462 12200 12400 13025 13420 13640 14884 15128 15250 15376 15500 16151 16775 17050 18605 18910 19220 20801 20840 21142 22000 22924 24025 24400 26050 26840 27280 28655 29768 30256 30500 31000 31781 32302 33550 34100 37210 37820 38440 40931 41602 41680 42284 42625 45848 47275 48050 52100 52855 53680 57310 58621 59536 61000 62000 63562 64604 65125 67100 68200 74420 75640 76880 80755 81862 83204 83875 84568 85250 91696 93025 94550 96100 104005 104200 105710 114620 115351 117242 120125 122000 127124 129208 130250 134200 136400 143275 148840 151280 158905 161510 163724 166408 167750 169136 170500 177661 186050 189100 192200 204655 208010 208400 211420 229240 230702 234484 236375 240250 254248 258416 260500 264275 268400 286550 293105 297680 317810 323020 327448 332816 335500 341000 349591 355322 372100 378200 384400 403775 409310 416020 422840 458480 461404 465125 468968 472750 480500 500681 508496 520025 521000 528550 573100 576755 586210 635620 644831 646040 654896 671000 682000 699182 710644 716375 744200 756400 794525 807550 818620 832040 845680 888305 922808 930250 937936 945500 961000 985211 1001362 1023275 1040050 1042000 1057100 1146200 1153510 1172420 1268861 1271240 1289662 1292080 1321375 1342000 1398364 1421288 1432750 1465525 1488400 1589050 1615100 1637240 1664080 1747955 1776610 1845616 1860500 1891000 1922000 1938641 1970422 2002724 2018875 2046550 2080100 2114200 2292400 2307020 2344840 2503405 2537722 2542480 2579324 2600125 2642750 2796728 2842576 2865500 2883775 2931050 3178100 3224155 3230200 3274480 3495910 3553220 3575881 3721000 3782000 3877282 3940844 3972625 4005448 4037750 4093100 4160200 4228400 4441525 4614040 4689680 4926055 5006810 5075444 5116375 5158648 5200250 5285500 5507491 5593456 5731000 5767550 5862100 6344305 6356200 6448310 6460400 6991820 7106440 7151762 7327625 7442000 7754564 7881688 7945250 8010896 8075500 8186200 8320400 8739775 8883050 9228080 9693205 9852110 10013620 10150888 10232750 10317296 10400500 10571000 10837321 11014982 11462000 11535100 11724200 12517025 12688610 12712400 12896620 13983640 14212880 14303524 14418875 14655250 15509128 15763376 15890500 16120775 16151000 16372400 17479550 17766100 17879405 19386410 19704220 20027240 20301776 20465500 20801000 21142000 21325051 21674642 22029964 22207625 23070200 23448400 24630275 25034050 25377220 25793240 27537455 27967280 28607048 28837750 29310500 30541541 31018256 31721525 31781000 32241550 32302000 34959100 35532200 35758810 38772820 39334691 39408440 40054480 40931000 41602000 42650102 43349284 43698875 44059928 44415250 46140400 48466025 49260550 50068100 50754440 51586480 54186605 55074910 57214096 57675500 58621000 60097871 61083082 62585125 63443050 63562000 64483100 69918200 71064400 71517620 77545640 78669382 78816880 80603875 81862000 85300204 86698568 87397750 88119856 88830500 89397025 96932050 98521100 100136200 101508880 106625255 108373210 110149820 115351000 117242000 120195742 122166164 123151375 125170250 126886100 128966200 137687275 139836400 143035240 152707705 155091280 157338764 158607625 161207750 170600408 173397136 174795500 177661000 178794050 193864100 196673455 197042200 200272400 213250510 216746420 220299640 230702000 240391484 242330125 244332328 246302750 250340500 253772200 257932400 270933025 275374550 286070480 300489355 305415410 314677528 317215250 322415500 335956951 341200816 349591000 355322000 357588100 387728200 393346910 394084400 426501020 433492840 440599280 446985125 480782968 484660250 488664656 492605500 500681000 507544400 533126275 541866050 550749100 600978710 610830820 629355056 634430500 644831000 661076581 671913902 688436375 699182000 715176200 763538525 775456400 786693820 853002040 866985680 893970250 961565936 969320500 983367275 985211000 1001362000 1066252550 1083732100 1101498200 1201957420 1221661640 1268861000 1289662000 1322153162 1343827804 1354665125 1376872750 1430352400 1502446775 1527077050 1573387640 1679784755 1706004080 1787940500 1863034001 1938641000 1966734550 1970422000 2132505100 2167464200 2202996400 2403914840 2443323280 2537722000 2644306324 2665631375 2687655608 2709330250 2753745500 3004893550 3054154100 3146775280 3305382905 3359569510 3575881000 3726068002 3817692625 3877282000 3933469100 4265010200 4334928400 4807829680 4916836375 5288612648 5331262750 5375311216 5418660500 5507491000 6009787100 6108308200 6610765810 6719139020 7151762000 7452136004 7512233875 7635385250 7866938200 8398923775 8530020400 9315170005 9833672750 10577225296 10662525500 10837321000 11014982000 12019574200 12216616400 13221531620 13438278040 14904272008 15024467750 15270770500 15733876400 16526914525 16797847550 18630340010 19667345500 20493374011 21325051000 21674642000 24039148400 26443063240 26876556080 29808544016 30048935500 30541541000 33053829050 33595695100 37260680020 39334691000 40986748022 41994618875 42650102000 46575850025 52886126480 60097871000 61083082000 66107658100 67191390200 74521360040 78669382000 81973496044 82634572625 83989237750 93151700050 102466870055 120195742000 132215316200 134382780400 149042720080 163946992088 165269145250 167978475500 186303400100 204933740110 232879250125 264430632400 327893984176 330538290500 335956951000 372606800200 409867480220 465758500250 512334350275 661076581000 671913902000 745213600400 819734960440 931517000500 1024668700550 1322153162000 1639469920880 1863034001000 2049337401100 2561671751375 3726068002000 4098674802200 5123343502750 8197349604400 10246687005500 20493374011000 40986748022000
- Sum of all divisors σ(n): 113795118137376
- Sum of proper divisors (its aliquot sum) s(n): 72808370115376
- 40986748022000 is an abundant number, because the sum of its proper divisors (72808370115376) is greater than itself. Its abundance is 31821622093376
Bases of 40986748022000
- Binary: 10010101000110111110001000111001101100111100002
- Hexadecimal: 0x2546F88E6CF0
- Base-36: EJ11VIXGW
Squares and roots of 40986748022000
- 40986748022000 squared (409867480220002) is 1679913513418920912484000000
- 40986748022000 cubed (409867480220003) is 68854191873254027167128022106648000000000
-
The
square root of 40986748022000 is 6402089.3481737663 -
The
cube root of 40986748022000 is 34478.4569060117
Scales and comparisons
How big is 40986748022000?- 40,986,748,022,000 seconds is equal to 1,303,251 years, 41 weeks, 6 days, 15 hours, 53 minutes, 20 seconds.
-
To count from 1 to 40,986,748,022,000 would take you about three million, two hundred fifty-eight thousand, one hundred twenty-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 40986748022000 cubic inches would be around 2873.2 feet tall.
Recreational maths with 40986748022000
- 40986748022000 backwards is 00022084768904
- 40986748022000 is a
Harshad number . - The number of decimal digits it has is: 14
- The sum of 40986748022000's digits is 50
- More coming soon!
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