105342131609400
105,342,131,609,400 is an even composite number composed of six prime numbers multiplied together.
105342131609400 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 105342131609400:
23 × 3 × 52 × 72 × 5572 × 11549
(2 × 2 × 2 × 3 × 5 × 5 × 7 × 7 × 557 × 557 × 11549)See below for interesting mathematical facts about the number 105342131609400 from the Numbermatics database.
Names of 105342131609400
- Cardinal: 105342131609400 can be written as One hundred five trillion, three hundred forty-two billion, one hundred thirty-one million, six hundred nine thousand, four hundred.
Scientific notation
- Scientific notation: 1.053421316094 × 1014
Factors of 105342131609400
Divisors of 105342131609400
- Number of divisors d(n): 432
-
Complete list of divisors:
1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 25 28 30 35 40 42 49 50 56 60 70 75 84 98 100 105 120 140 147 150 168 175 196 200 210 245 280 294 300 350 392 420 490 525 557 588 600 700 735 840 980 1050 1114 1176 1225 1400 1470 1671 1960 2100 2228 2450 2785 2940 3342 3675 3899 4200 4456 4900 5570 5880 6684 7350 7798 8355 9800 11140 11549 11697 13368 13925 14700 15596 16710 19495 22280 23098 23394 27293 27850 29400 31192 33420 34647 38990 41775 46196 46788 54586 55700 57745 58485 66840 69294 77980 80843 81879 83550 92392 93576 97475 109172 111400 115490 116970 136465 138588 155960 161686 163758 167100 173235 194950 218344 230980 233940 242529 272930 277176 288725 292425 310249 323372 327516 334200 346470 389900 404215 409395 461960 467880 485058 545860 565901 577450 584850 620498 646744 655032 682325 692940 779800 808430 818790 866175 930747 970116 1091720 1131802 1154900 1169700 1212645 1240996 1364650 1385880 1551245 1616860 1637580 1697703 1732350 1861494 1940232 2021075 2046975 2171743 2263604 2309800 2339400 2425290 2481992 2729300 2829505 3102490 3233720 3275160 3395406 3464700 3722988 4042150 4093950 4343486 4527208 4653735 4850580 5458600 5659010 6063225 6204980 6432793 6515229 6790812 6929400 7445976 7756225 8084300 8187900 8488515 8686972 9307470 9701160 10858715 11318020 12126450 12409960 12865586 13030458 13581624 14147525 15202201 15512450 16168600 16375800 16977030 17373944 18614940 19298379 21717430 22636040 23268675 24252900 25731172 26060916 28295050 30404402 31024900 32163965 32576145 33954060 37229880 38596758 42442575 43434860 45029551 45606603 46537350 48505800 51462344 52121832 54293575 56590100 60808804 62049800 64327930 65152290 67908120 76011005 77193516 84885150 86869720 90059102 91213206 93074700 96491895 108587150 113180200 121617608 128655860 130304580 135088653 152022010 154387032 160819825 162880725 169770300 180118204 182426412 186149400 192983790 217174300 225147755 228033015 257311720 260609160 270177306 304044020 315206857 321639650 325761450 339540600 360236408 364852824 380055025 385967580 434348600 450295510 456066030 482459475 540354612 608088040 630413714 643279300 651522900 675443265 760110050 771935160 900591020 912132060 945620571 964918950 1080709224 1125738775 1140165075 1260827428 1286558600 1303045800 1350886530 1520220100 1576034285 1801182040 1824264120 1891241142 1929837900 2251477550 2280330150 2521654856 2701773060 3040440200 3152068570 3377216325 3583065701 3782482284 3859675800 4502955100 4560660300 4728102855 5403546120 6304137140 6754432650 7166131402 7564964568 7880171425 9005910200 9121320600 9456205710 10749197103 12608274280 13508865300 14332262804 15760342850 17915328505 18912411420 21498394206 23640514275 25081459907 27017730600 28664525608 31520685700 35830657010 37824822840 42996788412 47281028550 50162919814 53745985515 63041371400 71661314020 75244379721 85993576824 89576642525 94562057100 100325839628 107491971030 125407299535 143322628040 150488759442 175570219349 179153285050 189124114200 200651679256 214983942060 250814599070 268729927575 300977518884 351140438698 358306570100 376221898605 429967884120 501629198140 526710658047 537459855150 601955037768 627036497675 702280877396 716613140200 752443797210 877851096745 1003258396280 1053421316094 1074919710300 1254072995350 1404561754792 1504887594420 1755702193490 1881109493025 2106842632188 2149839420600 2508145990700 2633553290235 3009775188840 3511404386980 3762218986050 4213685264376 4389255483725 5016291981400 5267106580470 7022808773960 7524437972100 8778510967450 10534213160940 13167766451175 15048875944200 17557021934900 21068426321880 26335532902350 35114043869800 52671065804700 105342131609400
- Sum of all divisors σ(n): 380592806517000
- Sum of proper divisors (its aliquot sum) s(n): 275250674907600
- 105342131609400 is an abundant number, because the sum of its proper divisors (275250674907600) is greater than itself. Its abundance is 169908543298200
Bases of 105342131609400
- Binary: 101111111001110111000000101010110011111001110002
- Hexadecimal: 0x5FCEE0559F38
- Base-36: 11C9I9B1VC
Squares and roots of 105342131609400
- 105342131609400 squared (1053421316094002) is 11096964692012150634168360000
- 105342131609400 cubed (1053421316094003) is 1168977915050808909008501051637358584000000
-
The
square root of 105342131609400 is 10263631.5020269507 -
The
cube root of 105342131609400 is 47228.1246382479
Scales and comparisons
How big is 105342131609400?- 105,342,131,609,400 seconds is equal to 3,349,553 years, 48 weeks, 6 days, 8 hours, 50 minutes.
-
To count from 1 to 105,342,131,609,400 would take you about eight million, three hundred seventy-three thousand, eight hundred eighty-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 105342131609400 cubic inches would be around 3935.7 feet tall.
Recreational maths with 105342131609400
- 105342131609400 backwards is 004906131243501
- The number of decimal digits it has is: 15
- The sum of 105342131609400's digits is 39
- More coming soon!
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