409055140422246240
409,055,140,422,246,240 is an even composite number composed of six prime numbers multiplied together.
409055140422246240 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of four hundred eighty divisors.
Prime factorization of 409055140422246240:
25 × 34 × 5 × 13 × 31 × 78319842773
(2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 5 × 13 × 31 × 78319842773)See below for interesting mathematical facts about the number 409055140422246240 from the Numbermatics database.
Names of 409055140422246240
- Cardinal: 409055140422246240 can be written as Four hundred nine quadrillion, fifty-five trillion, one hundred forty billion, four hundred twenty-two million, two hundred forty-six thousand, two hundred forty.
Scientific notation
- Scientific notation: 4.0905514042224624 × 1017
Factors of 409055140422246240
- Number of distinct prime factors ω(n): 6
- Total number of prime factors Ω(n): 13
- Sum of prime factors: 78319842827
Divisors of 409055140422246240
- Number of divisors d(n): 480
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 13 15 16 18 20 24 26 27 30 31 32 36 39 40 45 48 52 54 60 62 65 72 78 80 81 90 93 96 104 108 117 120 124 130 135 144 155 156 160 162 180 186 195 208 216 234 240 248 260 270 279 288 310 312 324 351 360 372 390 403 405 416 432 465 468 480 496 520 540 558 585 620 624 648 702 720 744 780 806 810 837 864 930 936 992 1040 1053 1080 1116 1170 1209 1240 1248 1296 1395 1404 1440 1488 1560 1612 1620 1674 1755 1860 1872 2015 2080 2106 2160 2232 2340 2418 2480 2511 2592 2790 2808 2976 3120 3224 3240 3348 3510 3627 3720 3744 4030 4185 4212 4320 4464 4680 4836 4960 5022 5265 5580 5616 6045 6240 6448 6480 6696 7020 7254 7440 8060 8370 8424 8928 9360 9672 10044 10530 10881 11160 11232 12090 12555 12896 12960 13392 14040 14508 14880 16120 16740 16848 18135 18720 19344 20088 21060 21762 22320 24180 25110 26784 28080 29016 32240 32643 33480 33696 36270 38688 40176 42120 43524 44640 48360 50220 54405 56160 58032 64480 65286 66960 72540 80352 84240 87048 96720 100440 108810 116064 130572 133920 145080 163215 168480 174096 193440 200880 217620 261144 290160 326430 348192 401760 435240 522288 580320 652860 870480 1044576 1305720 1740960 2611440 5222880 78319842773 156639685546 234959528319 313279371092 391599213865 469919056638 626558742184 704878584957 783198427730 939838113276 1018157956049 1174797641595 1253117484368 1409757169914 1566396855460 1879676226552 2036315912098 2114635754871 2349595283190 2427915125963 2506234968736 2819514339828 3054473868147 3132793710920 3524392924785 3759352453104 4072631824196 4229271509742 4699190566380 4855830251926 5090789780245 5639028679656 6108947736294 6265587421840 6343907264613 7048785849570 7283745377889 7518704906208 8145263648392 8458543019484 9163421604441 9398381132760 9711660503852 10181579560490 10573178774355 11278057359312 12139575629815 12217895472588 12531174843680 12687814529226 14097571699140 14567490755778 15272369340735 16290527296784 16917086038968 18326843208882 18796762265520 19423321007704 20363159120980 21146357548710 21851236133667 22556114718624 24279151259630 24435790945176 25375629058452 27490264813323 28195143398280 29134981511556 30544738681470 31562896637519 31719536323065 32581054593568 33834172077936 36418726889445 36653686417764 37593524531040 38846642015408 40726318241960 42292715097420 43702472267334 45817108022205 48558302519260 48871581890352 50751258116904 54980529626646 56390286796560 58269963023112 61089477362940 63125793275038 63439072646130 65553708401001 67668344155872 72837453778890 73307372835528 77693284030816 81452636483920 82470794439969 84585430194840 87404944534668 91634216044410 94688689912557 97116605038520 97743163780704 101502516233808 109256180668335 109961059253292 112780573593120 116539926046224 122178954725880 126251586550076 126878145292260 131107416802002 137451324066615 145674907557780 146614745671056 157814483187595 162905272967840 164941588879938 169170860389680 174809889069336 183268432088820 189377379825114 194233210077040 196661125203003 203005032467616 218512361336670 219922118506584 233079852092448 244357909451760 252503173100152 253756290584520 262214833604004 274902648133230 284066069737671 291349815115560 293229491342112 315628966375190 327768542005005 329883177759876 338341720779360 349619778138672 366536864177640 378754759650228 388466420154080 393322250406006 412353972199845 437024722673340 439844237013168 473443449562785 488715818903520 505006346200304 507512581169040 524429667208008 549805296266460 568132139475342 582699630231120 631257932750380 655537084010010 659766355519752 699239556277344 733073728355280 757509519300456 786644500812012 824707944399690 852198209213013 874049445346680 879688474026336 946886899125570 983305626015015 1010012692400608 1015025162338080 1048859334416016 1099610592532920 1136264278950684 1165399260462240 1262515865500760 1311074168020020 1319532711039504 1420330348688355 1466147456710560 1515019038600912 1573289001624024 1649415888799380 1704396418426026 1748098890693360 1893773798251140 1966611252030030 2097718668832032 2199221185065840 2272528557901368 2525031731001520 2556594627639039 2622148336040040 2639065422079008 2840660697376710 3030038077201824 3146578003248048 3298831777598760 3408792836852052 3496197781386720 3787547596502280 3933222504060060 4260991046065065 4398442370131680 4545057115802736 5050063462003040 5113189255278078 5244296672080080 5681321394753420 6293156006496096 6597663555197520 6817585673704104 7575095193004560 7866445008120120 8521982092130130 9090114231605472 10226378510556156 10488593344160160 11362642789506840 12782973138195195 13195327110395040 13635171347408208 15150190386009120 15732890016240240 17043964184260260 20452757021112312 22725285579013680 25565946276390390 27270342694816416 31465780032480480 34087928368520520 40905514042224624 45450571158027360 51131892552780780 68175856737041040 81811028084449248 102263785105561560 136351713474082080 204527570211123120 409055140422246240
- Sum of all divisors σ(n): 1604822450021150976
- Sum of proper divisors (its aliquot sum) s(n): 1195767309598904736
- 409055140422246240 is an abundant number, because the sum of its proper divisors (1195767309598904736) is greater than itself. Its abundance is 786712169176658496
Bases of 409055140422246240
- Binary: 101101011010100000101111011101000100110101001011111011000002
- Hexadecimal: 0x5AD417BA26A5F60
- Base-36: 33VPY1A4NQ00
Squares and roots of 409055140422246240
- 409055140422246240 squared (4090551404222462402) is 167326107905863589813639087194137600
- 409055140422246240 cubed (4090551404222462403) is 68445604565740957469205885473381568432020751642624000
-
The
square root of 409055140422246240 is 639574186.8010670739 -
The
cube root of 409055140422246240 is 742324.7685413017
Scales and comparisons
How big is 409055140422246240?- 409,055,140,422,246,240 seconds is equal to 13,006,688,174 years, 41 weeks, 4 days, 20 hours, 24 minutes.
-
To count from 1 to 409,055,140,422,246,240 would take you about thirty-nine billion, twenty million, sixty-four thousand, five hundred twenty-four 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 409055140422246240 cubic inches would be around 61860.4 feet tall.
Recreational maths with 409055140422246240
- 409055140422246240 backwards is 042642224041550904
- 409055140422246240 is a
Harshad number . - The number of decimal digits it has is: 18
- The sum of 409055140422246240's digits is 54
- More coming soon!
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