131248125169920
131,248,125,169,920 is an even composite number composed of six prime numbers multiplied together.
131248125169920 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one thousand, nine hundred forty-four divisors.
Prime factorization of 131248125169920:
28 × 38 × 5 × 11 × 972 × 151
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 5 × 11 × 97 × 97 × 151)See below for interesting mathematical facts about the number 131248125169920 from the Numbermatics database.
Names of 131248125169920
- Cardinal: 131248125169920 can be written as One hundred thirty-one trillion, two hundred forty-eight billion, one hundred twenty-five million, one hundred sixty-nine thousand, nine hundred twenty.
Scientific notation
- Scientific notation: 1.3124812516992 × 1014
Factors of 131248125169920
Divisors of 131248125169920
- Number of divisors d(n): 1944
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 11 12 15 16 18 20 22 24 27 30 32 33 36 40 44 45 48 54 55 60 64 66 72 80 81 88 90 96 97 99 108 110 120 128 132 135 144 151 160 162 165 176 180 192 194 198 216 220 240 243 256 264 270 288 291 297 302 320 324 330 352 360 384 388 396 405 432 440 453 480 485 486 495 528 540 576 582 594 604 640 648 660 704 720 729 755 768 776 792 810 864 873 880 891 906 960 970 972 990 1056 1067 1080 1152 1164 1188 1208 1215 1280 1296 1320 1359 1408 1440 1455 1458 1485 1510 1552 1584 1620 1661 1728 1746 1760 1782 1812 1920 1940 1944 1980 2112 2134 2160 2187 2265 2304 2328 2376 2416 2430 2592 2619 2640 2673 2718 2816 2880 2910 2916 2970 3020 3104 3168 3201 3240 3322 3456 3492 3520 3564 3624 3645 3840 3880 3888 3960 4077 4224 4268 4320 4365 4374 4455 4530 4656 4752 4832 4860 4983 5184 5238 5280 5335 5346 5436 5760 5820 5832 5940 6040 6208 6336 6402 6480 6561 6644 6795 6912 6984 7040 7128 7248 7290 7760 7776 7857 7920 8019 8154 8305 8448 8536 8640 8730 8748 8910 9060 9312 9409 9504 9603 9664 9720 9966 10368 10476 10560 10670 10692 10872 10935 11520 11640 11664 11880 12080 12231 12416 12672 12804 12960 13095 13122 13288 13365 13590 13968 14080 14256 14496 14580 14647 14949 15520 15552 15714 15840 16005 16038 16308 16610 17072 17280 17460 17496 17820 18120 18624 18818 19008 19206 19328 19440 19932 20385 20736 20952 21120 21340 21384 21744 21870 23280 23328 23571 23760 24057 24160 24462 24832 24915 25344 25608 25920 26190 26244 26576 26730 27180 27936 28227 28512 28809 28992 29160 29294 29898 31040 31104 31428 31680 32010 32076 32616 32805 33220 34144 34560 34920 34992 35640 36240 36693 37248 37636 38016 38412 38656 38880 39285 39864 40095 40770 41904 42240 42680 42768 43488 43740 43941 44847 46560 46656 47045 47142 47520 48015 48114 48320 48924 49830 51216 51840 52380 52488 53152 53460 54360 55872 56454 57024 57618 57984 58320 58588 59796 61155 62080 62208 62856 63360 64020 64152 65232 65610 66440 68288 69840 69984 70713 71280 72171 72480 73235 73386 74496 74745 75272 76032 76824 77760 78570 79728 80190 81540 83808 84681 85360 85536 86427 86976 87480 87882 89694 93120 93312 94090 94284 95040 96030 96228 96640 97848 99660 102432 103499 103680 104760 104976 106304 106920 108720 110079 111744 112908 114048 115236 115968 116640 117176 117855 119592 120285 122310 124160 125712 126720 128040 128304 130464 131220 131823 132880 134541 136576 139680 139968 141135 141426 142560 144045 144342 144960 146470 146772 149490 150544 153648 155520 157140 159456 160380 161117 163080 167616 169362 170720 171072 172854 173952 174960 175764 179388 183465 186240 186624 188180 188568 190080 192060 192456 193280 195696 199320 204864 206998 209520 209952 212139 212608 213840 217440 219705 220158 223488 224235 225816 228096 230472 233280 234352 235710 239184 240570 244620 251424 254043 256080 256608 259281 260928 262440 263646 265760 269082 273152 279360 279936 282270 282852 285120 288090 288684 289920 292940 293544 298980 301088 307296 310497 311040 314280 318912 320760 322234 326160 330237 335232 338724 341440 342144 345708 347904 349920 351528 353565 358776 360855 366930 372480 376360 377136 380160 384120 384912 391392 395469 398640 403623 409728 413996 419040 419904 423405 424278 425216 427680 432135 434880 439410 440316 448470 451632 460944 466560 468704 471420 478368 481140 483351 489240 502848 508086 512160 513216 517495 518562 521856 524880 527292 531520 538164 550395 558720 559872 564540 565704 570240 576180 577368 579840 585880 587088 597960 602176 614592 620994 628560 636417 637824 641520 644468 652320 659115 660474 670464 672705 677448 682880 684288 691416 699840 703056 707130 717552 721710 733860 752720 754272 762129 768240 769824 777843 782784 790938 797280 805585 807246 819456 827992 838080 839808 846810 848556 855360 864270 869760 878820 880632 896940 903264 921888 931491 933120 937408 942840 956736 962280 966702 978480 990711 1005696 1016172 1024320 1026432 1034990 1037124 1043712 1049760 1054584 1060695 1063040 1076328 1100790 1117440 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1975438368 2000428672 2012020560 2045892960 2050111296 2071466622 2088076320 2109827115 2114177274 2146155264 2194931520 2240187840 2250482256 2263523130 2277901440 2301629580 2324868480 2349085860 2414424672 2455071552 2469297960 2500535840 2505691584 2531792538 2562639120 2633917824 2682694080 2716227756 2727857280 2733481728 2761955496 2784101760 2789842176 2813102820 2818903032 2926575360 2986917120 3000643008 3018030840 3068839440 3075166944 3107199933 3132114480 3219232896 3273428736 3292397280 3340922112 3375723384 3395284695 3416852160 3452444370 3487302720 3523628790 3576925440 3621637008 3682607328 3750803760 3758537376 3797688807 3843958680 3950876736 4000857344 4024041120 4091785920 4100222592 4142933244 4176152640 4219654230 4228354548 4389863040 4480375680 4500964512 4527046260 4555802880 4603259160 4649736960 4698171720 4828849344 4910143104 4938595920 5001071680 5011383168 5063585076 5125278240 5178666555 5267835648 5285443185 5365388160 5432455512 5455714560 5523910992 5568203520 5626205640 5637806064 6001286016 6036061680 6137678880 6150333888 6214399866 6264228960 6329481345 6438465792 6584794560 6751446768 6790569390 6833704320 6904888740 6974605440 7047257580 7243274016 7365214656 7501607520 7517074752 7595377614 7687917360 7901753472 8048082240 8183571840 8200445184 8285866488 8352305280 8439308460 8456709096 8779726080 8960751360 9001929024 9054092520 9206518320 9321599799 9396343440 9657698688 9820286208 9877191840 10002143360 10022766336 10127170152 10250556480 10357333110 10570886370 10730776320 10864911024 11047821984 11252411280 11275612128 11393066421 12002572032 12072123360 12275357760 12300667776 12428799732 12528457920 12658962690 13169589120 13502893536 13581138780 13667408640 13809777480 13949210880 14094515160 14486548032 14730429312 15003215040 15034149504 15190755228 15375834720 15535999665 15803506944 16096164480 16367143680 16571732976 16704610560 16878616920 16913418192 18003858048 18108185040 18413036640 18643199598 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88382575872 90019290240 90204897024 91144531368 93215997990 96576986880 99430397856 101271701520 102537597789 108023148288 108649110240 110478219840 112756121280 113930664210 121526041824 123006677760 124287997320 132573863808 135028935360 135307345536 136716797052 144865480320 147304293120 149145596784 150341495040 151907552280 162034722432 165717329760 169134181920 170895996315 173838576384 180038580480 182289062736 186431995980 198860795712 202543403040 205075195578 217298220480 220956439680 225512242560 227861328420 243052083648 248575994640 265147727616 270057870720 270614691072 273433594104 289730960640 298291193568 303815104560 324069444864 331434659520 338268363840 341791992630 364578125472 372863991960 397721591424 405086806080 410150391156 434596440960 441912879360 451024485120 455722656840 486104167296 497151989280 512687988945 540115741440 546867188208 596582387136 607630209120 662869319040 676536727680 683583985260 729156250944 745727983920 795443182848 810173612160 820300782312 869192881920 911445313680 972208334592 994303978560 1025375977890 1093734376416 1193164774272 1215260418240 1325738638080 1353073455360 1367167970520 1458312501888 1491455967840 1620347224320 1640601564624 1822890627360 1988607957120 2050751955780 2187468752832 2386329548544 2430520836480 2734335941040 2916625003776 2982911935680 3281203129248 3645781254720 3977215914240 4101503911560 4374937505664 4861041672960 5468671882080 5965823871360 6562406258496 7291562509440 8203007823120 8749875011328 10937343764160 11931647742720 13124812516992 14583125018880 16406015646240 21874687528320 26249625033984 32812031292480 43749375056640 65624062584960 131248125169920
- Sum of all divisors σ(n): 523214426524608
- Sum of proper divisors (its aliquot sum) s(n): 391966301354688
- 131248125169920 is an abundant number, because the sum of its proper divisors (391966301354688) is greater than itself. Its abundance is 260718176184768
Bases of 131248125169920
- Binary: 111011101011110100101011110000011010001000000002
- Hexadecimal: 0x775E95E0D100
- Base-36: 1AIUK10000
Squares and roots of 131248125169920
- 131248125169920 squared (1312481251699202) is 17226070360618987828872806400
- 131248125169920 cubed (1312481251699203) is 2260889438876369867613755115370067263488000
-
The
square root of 131248125169920 is 11456357.4128044729 -
The
cube root of 131248125169920 is 50819.5758623889
Scales and comparisons
How big is 131248125169920?- 131,248,125,169,920 seconds is equal to 4,173,284 years, 20 weeks, 6 days, 19 hours, 12 minutes.
-
To count from 1 to 131,248,125,169,920 would take you about ten million, four hundred thirty-three thousand, two hundred eleven 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 131248125169920 cubic inches would be around 4235 feet tall.
Recreational maths with 131248125169920
- 131248125169920 backwards is 029961521842131
- 131248125169920 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 131248125169920's digits is 54
- More coming soon!
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"Number 131248125169920 - Facts about the integer". Numbermatics.com. 2024. Web. 4 June 2024.
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Numbermatics. (2024). Number 131248125169920 - Facts about the integer. Retrieved 4 June 2024, from https://numbermatics.com/n/131248125169920/
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The information we have on file for 131248125169920 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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