131113819681920
131,113,819,681,920 is an even composite number composed of eight prime numbers multiplied together.
131113819681920 is an even composite number. It is composed of eight distinct prime numbers multiplied together. It has a total of one thousand, five hundred thirty-six divisors.
Prime factorization of 131113819681920:
27 × 32 × 5 × 19 × 37 × 127 × 137 × 1861
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 19 × 37 × 127 × 137 × 1861)See below for interesting mathematical facts about the number 131113819681920 from the Numbermatics database.
Names of 131113819681920
- Cardinal: 131113819681920 can be written as One hundred thirty-one trillion, one hundred thirteen billion, eight hundred nineteen million, six hundred eighty-one thousand, nine hundred twenty.
Scientific notation
- Scientific notation: 1.3111381968192 × 1014
Factors of 131113819681920
Divisors of 131113819681920
- Number of divisors d(n): 1536
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 15 16 18 19 20 24 30 32 36 37 38 40 45 48 57 60 64 72 74 76 80 90 95 96 111 114 120 127 128 137 144 148 152 160 171 180 185 190 192 222 228 240 254 274 285 288 296 304 320 333 342 360 370 380 381 384 411 444 456 480 508 548 555 570 576 592 608 635 640 666 684 685 703 720 740 760 762 822 855 888 912 960 1016 1096 1110 1140 1143 1152 1184 1216 1233 1270 1332 1368 1370 1406 1440 1480 1520 1524 1644 1665 1710 1776 1824 1861 1905 1920 2032 2055 2109 2192 2220 2280 2286 2368 2413 2432 2466 2540 2603 2664 2736 2740 2812 2880 2960 3040 3048 3288 3330 3420 3515 3552 3648 3722 3810 4064 4110 4218 4384 4440 4560 4572 4699 4736 4826 4932 5069 5080 5206 5328 5472 5480 5583 5624 5715 5760 5920 6080 6096 6165 6327 6576 6660 6840 7030 7104 7239 7296 7444 7620 7809 8128 8220 8436 8768 8880 9120 9144 9305 9398 9652 9864 10138 10160 10412 10545 10656 10944 10960 11166 11248 11430 11840 12065 12160 12192 12330 12654 13015 13152 13320 13680 14060 14097 14208 14478 14888 15207 15240 15618 16256 16440 16749 16872 17399 17536 17760 18240 18288 18610 18796 19304 19728 20276 20320 20824 21090 21312 21717 21888 21920 22332 22496 22860 23427 23495 23680 24130 24384 24660 25308 25345 26030 26304 26640 27360 27915 28120 28194 28956 29776 30414 30480 31236 31635 32880 33498 33744 34798 35359 35520 36195 36480 36576 37220 37592 38608 39045 39456 40552 40640 41648 42180 42291 42624 43434 43840 44664 44992 45621 45720 46854 46990 48260 48768 49320 50616 50690 52060 52197 52608 53280 54720 55830 56240 56388 57912 59552 60828 60960 62472 63270 65760 66996 67488 68857 69596 70485 70718 71040 72390 73152 74440 75184 76035 77216 78090 78912 81104 81280 83296 83745 84360 84582 86868 86995 87680 89281 89328 89984 91242 91440 93708 93980 96311 96520 98640 101232 101380 104120 104394 106077 106560 108585 109440 111660 112480 112776 115824 117135 119104 121656 121920 124944 126540 131520 133992 134976 137714 139192 140970 141436 144780 146304 148880 150368 152070 154432 156180 156591 157824 162208 166592 167490 168720 169164 173736 173990 176795 178562 178656 182484 182880 187416 187960 192622 193040 197280 202464 202760 206571 208240 208788 211455 212154 213120 217170 223320 224960 225552 228105 231648 234270 236347 238208 243312 243840 249888 253080 254957 260985 263040 267843 267984 269952 275428 278384 281940 282872 288933 289560 297760 300736 304140 308864 312360 313182 318231 324416 330581 333184 334980 337440 338328 344285 347472 347980 353590 357124 357312 364968 365760 374832 375920 385244 386080 394560 404928 405520 413142 416480 417576 422910 424308 434340 446405 446640 449920 451104 456210 463296 468540 472694 481555 486624 499776 506160 509914 521970 530385 535686 535968 550856 556768 563880 565744 577866 579120 595520 601472 608280 619713 624720 626364 636462 643763 648832 661162 669960 674880 676656 688570 694944 695960 707180 709041 714248 714624 729936 731520 749664 751840 764871 770488 772160 782955 789120 803529 809856 811040 826284 832960 835152 845820 848616 866799 868680 892810 893280 902208 912420 926592 937080 945388 963110 973248 991743 999552 1012320 1019828 1032855 1043940 1060770 1071372 1071936 1101712 1113536 1127760 1131488 1155732 1158240 1181735 1191040 1216560 1239426 1249440 1252728 1272924 1274785 1287526 1308283 1322324 1339215 1339920 1349760 1353312 1377140 1389888 1391920 1414360 1418082 1428496 1444665 1459872 1499328 1503680 1529742 1540976 1544320 1565910 1591155 1607058 1622080 1652568 1652905 1665920 1670304 1691640 1697232 1733598 1737360 1785620 1786560 1804416 1824840 1874160 1890776 1926220 1931289 1946496 1983486 2024640 2039656 2065710 2087880 2121540 2127123 2142744 2143872 2203424 2227072 2255520 2262976 2294613 2311464 2316480 2363470 2433120 2478852 2498880 2505456 2545848 2549570 2575052 2616566 2644648 2678430 2679840 2706624 2754280 2779776 2783840 2828720 2836164 2856992 2889330 2919744 2975229 2998656 3007360 3059484 3081952 3098565 3131820 3182310 3214116 3218815 3244160 3305136 3305810 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1395124704 1399174240 1433878168 1436989760 1457079255 1467779640 1468552320 1495367469 1507142016 1509345440 1550138560 1554217872 1565631616 1574071020 1613112939 1616613480 1661519410 1679009088 1698013620 1724387712 1743905880 1761335568 1792347710 1811214528 1845633723 1854037440 1860166272 1883927520 1904146560 1942772340 1957039520 1993823292 2072290496 2098761360 2150817252 2155484640 2201669460 2264018160 2325207840 2331326808 2348447424 2396085886 2460844964 2492279115 2511903360 2518513632 2586581568 2590363120 2658431056 2688521565 2716821792 2790249408 2798348480 2867756336 2873979520 2914158510 2935559280 2990734938 3018690880 3076056205 3100277120 3108435744 3148142040 3226225878 3233226960 3323038820 3358018176 3396027240 3487811760 3522671136 3584695420 3594128829 3622429056 3691267446 3708074880 3767855040 3885544680 3914079040 3987646584 4144580992 4197522720 4301634504 4310969280 4403338920 4528036320 4650415680 4662653616 4696894848 4792171772 4921689928 4984558230 5037027264 5173163136 5180726240 5316862112 5377043130 5433643584 5536901169 5580498816 5596696960 5735512672 5828317020 5871118560 5981469876 5990214715 6037381760 6152112410 6216871488 6296284080 6452451756 6466453920 6646077640 6792054480 6975623520 7045342272 7169390840 7188257658 7382534892 7476837345 7535710080 7771089360 7828158080 7975293168 8065564695 8395045440 8603269008 8621938560 8806677840 9056072640 9228168615 9300831360 9325307232 9584343544 9843379856 9969116460 10074054528 10361452480 10633724224 10754086260 10782386487 10867287168 11073802338 11471025344 11656634040 11742237120 11962939752 11980429430 12304224820 12433742976 12592568160 12904903512 12932907840 13292155280 13584108960 13951247040 14090684544 14338781680 14376515316 14765069784 14953674690 15542178720 15950586336 16131129390 16790090880 17206538016 17613355680 17970644145 18112145280 18456337230 18650614464 19168687088 19686759712 19938232920 20722904960 21267448448 21508172520 21564772974 22147604676 22762815917 22942050688 23313268080 23484474240 23925879504 23960858860 24608449640 25185136320 25809807024 25865815680 26584310560 27168217920 27684505845 27902494080 28677563360 28753030632 29530139568 29907349380 31084357440 31901172672 32262258780 34413076032 35226711360 35941288290 36912674460 37301228928 38337374176 39373519424 39876465840 43016345040 43129545948 44295209352 45525631834 46626536160 47851759008 47921717720 49216899280 50370272640 51619614048 53168621120 53911932435 54336435840 55369011690 57355126720 57506061264 59060279136 59814698760 62168714880 63802345344 64524517560 68288447751 68826152064 70453422720 71882576580 73825348920 76674748352 78747038848 79752931680 86032690080 86259091896 88590418704 91051263668 93253072320 95703518016 95843435440 98433798560 103239228096 106337242240 107823864870 110738023380 113814079585 114710253440 115012122528 118120558272 119629397520 129049035120 136576895502 143765153160 147650697840 153349496704 159505863360 172065380160 172518183792 177180837408 182102527336 186506144640 191407036032 191686870880 196867597120 204865343253 206478456192 215647729740 221476046760 227628159170 230024245056 236241116544 239258795040 258098070240 273153791004 287530306320 295301395680 319011726720 341442238755 344130760320 345036367584 354361674816 364205054672 383373741760 393735194240 409730686506 431295459480 442952093520 455256318340 460048490112 478517590080 516196140480 546307582008 575060612640 590602791360 682884477510 690072735168 708723349632 728410109344 766747483520 819461373012 862590918960 885904187040 910512636680 957035180160 1024326716265 1032392280960 1092615164016 1150121225280 1181205582720 1365768955020 1380145470336 1456820218688 1638922746024 1725181837920 1771808374080 1821025273360 2048653432530 2185230328032 2300242450560 2731537910040 2913640437376 3277845492048 3450363675840 3543616748160 3642050546720 4097306865060 4370460656064 5463075820080 6555690984096 6900727351680 7284101093440 8194613730120 8740921312128 10926151640160 13111381968192 14568202186880 16389227460240 21852303280320 26222763936384 32778454920480 43704606560640 65556909840960 131113819681920
- Sum of all divisors σ(n): 497183958835200
- Sum of proper divisors (its aliquot sum) s(n): 366070139153280
- 131113819681920 is an abundant number, because the sum of its proper divisors (366070139153280) is greater than itself. Its abundance is 234956319471360
Bases of 131113819681920
- Binary: 111011100111111010100001010010110110100100000002
- Hexadecimal: 0x773F50A5B480
- Base-36: 1AH4UUZA80
Squares and roots of 131113819681920
- 131113819681920 squared (1311138196819202) is 17190833711583032369974886400
- 131113819681920 cubed (1311138196819203) is 2253955871442369234230729723728436133888000
-
The
square root of 131113819681920 is 11450494.2985846685 -
The
cube root of 131113819681920 is 50802.2354816775
Scales and comparisons
How big is 131113819681920?- 131,113,819,681,920 seconds is equal to 4,169,013 years, 47 weeks, 3 hours, 12 minutes.
-
To count from 1 to 131,113,819,681,920 would take you about ten million, four hundred twenty-two thousand, five hundred thirty-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 131113819681920 cubic inches would be around 4233.5 feet tall.
Recreational maths with 131113819681920
- 131113819681920 backwards is 029186918311131
- The number of decimal digits it has is: 15
- The sum of 131113819681920's digits is 54
- More coming soon!
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"Number 131113819681920 - Facts about the integer". Numbermatics.com. 2024. Web. 15 June 2024.
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Numbermatics. (2024). Number 131113819681920 - Facts about the integer. Retrieved 15 June 2024, from https://numbermatics.com/n/131113819681920/
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The information we have on file for 131113819681920 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!
Keywords: Divisors of 131113819681920, math, Factors of 131113819681920, curriculum, school, college, exams, university, Prime factorization of 131113819681920, STEM, science, technology, engineering, physics, economics, calculator, one hundred thirty-one trillion, one hundred thirteen billion, eight hundred nineteen million, six hundred eighty-one thousand, nine hundred twenty.