131074034550560899200
131,074,034,550,560,899,200 is an even composite number composed of six prime numbers multiplied together.
131074034550560899200 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 131074034550560899200:
27 × 32 × 52 × 132 × 4392 × 118212
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 5 × 13 × 13 × 439 × 439 × 11821 × 11821)See below for interesting mathematical facts about the number 131074034550560899200 from the Numbermatics database.
Names of 131074034550560899200
- Cardinal: 131074034550560899200 can be written as One hundred thirty-one quintillion, seventy-four quadrillion, thirty-four trillion, five hundred fifty billion, five hundred sixty million, eight hundred ninety-nine thousand, two hundred.
Scientific notation
- Scientific notation: 1.310740345505608992 × 1020
Factors of 131074034550560899200
Divisors of 131074034550560899200
- Number of divisors d(n): 1944
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 13 15 16 18 20 24 25 26 30 32 36 39 40 45 48 50 52 60 64 65 72 75 78 80 90 96 100 104 117 120 128 130 144 150 156 160 169 180 192 195 200 208 225 234 240 260 288 300 312 320 325 338 360 384 390 400 416 439 450 468 480 507 520 576 585 600 624 640 650 676 720 780 800 832 845 878 900 936 960 975 1014 1040 1152 1170 1200 1248 1300 1317 1352 1440 1521 1560 1600 1664 1690 1756 1800 1872 1920 1950 2028 2080 2195 2340 2400 2496 2535 2600 2634 2704 2880 2925 3042 3120 3200 3380 3512 3600 3744 3900 3951 4056 4160 4225 4390 4680 4800 4992 5070 5200 5268 5408 5707 5760 5850 6084 6240 6585 6760 7024 7200 7488 7605 7800 7902 8112 8320 8450 8780 9360 9600 10140 10400 10536 10816 10975 11414 11700 11821 12168 12480 12675 13170 13520 14048 14400 14976 15210 15600 15804 16224 16900 17121 17560 18720 19755 20280 20800 21072 21632 21950 22828 23400 23642 24336 24960 25350 26340 27040 28096 28535 28800 30420 31200 31608 32448 32925 33800 34242 35120 35463 37440 38025 39510 40560 41600 42144 43900 45656 46800 47284 48672 50700 51363 52680 54080 56192 57070 59105 60840 62400 63216 64896 65850 67600 68484 70240 70926 74191 74880 76050 79020 81120 84288 85605 87800 91312 93600 94568 97344 98775 101400 102726 105360 106389 108160 114140 118210 121680 124800 126432 131700 135200 136968 140480 141852 142675 148382 152100 153673 158040 162240 168576 171210 175600 177315 182624 187200 189136 192721 194688 197550 202800 205452 210720 212778 222573 228280 236420 243360 252864 256815 263400 270400 273936 280960 283704 285350 295525 296764 304200 307346 316080 324480 342420 351200 354630 365248 370955 374400 378272 385442 395100 405600 410904 421440 425556 428025 445146 456560 461019 472840 486720 505728 513630 526800 531945 540800 547872 567408 570700 578163 591050 593528 608400 614692 632160 667719 684840 702400 709260 730496 741910 756544 768365 770884 790200 811200 821808 842880 851112 856050 886575 890292 913120 922038 945680 963605 973440 1027260 1053600 1063890 1095744 1112865 1134816 1141400 1156326 1182100 1187056 1216800 1229384 1264320 1284075 1335438 1369680 1383057 1404800 1418520 1483820 1513088 1536730 1541768 1580400 1622400 1643616 1702224 1712100 1734489 1773150 1780584 1826240 1844076 1854775 1891360 1927210 1997749 2054520 2107200 2127780 2191488 2225730 2269632 2282800 2305095 2312652 2364200 2374112 2433600 2458768 2505373 2528640 2568150 2659725 2670876 2739360 2766114 2837040 2890815 2967640 3073460 3083536 3160800 3287232 3338595 3404448 3424200 3468978 3546300 3561168 3652480 3688152 3709550 3782720 3841825 3854420 3995498 4109040 4214400 4255560 4451460 4539264 4565600 4610190 4625304 4728400 4748224 4818025 4867200 4917536 5010746 5136300 5189419 5319450 5341752 5478720 5532228 5564325 5674080 5781630 5935280 5993247 6146920 6167072 6321600 6574464 6677190 6808896 6848400 6915285 6937956 7092600 7122336 7376304 7419100 7516119 7565440 7683650 7708840 7990996 8218080 8511120 8672445 8902920 9131200 9220380 9250608 9456800 9496448 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1400363616993172 1435452454776600 1492870552967664 1531149285095040 1555073492674650 1615804173453660 1658745058852960 1723524451683904 1750454521241465 1766710713571200 1848039288139200 1866088191209580 1913936606368800 1938965008144392 1990494070623552 2019755216817075 2073431323566200 2100545425489758 2154405564604880 2217647145767040 2296723927642560 2332610239011975 2423706260180490 2488117588279440 2551915475158400 2585286677525856 2693006955756100 2772058932208800 2800727233986344 2870904909553200 2985741105935328 3110146985349300 3150818138234637 3231608346907320 3317490117705920 3447048903367808 3500909042482930 3696078576278400 3732176382419160 3827873212737600 3877930016288784 3980988141247104 4039510433634150 4146862647132400 4201090850979516 4308811129209760 4551181755227809 4593447855285120 4665220478023950 4847412520360980 4976235176558880 5170573355051712 5251363563724395 5386013911512200 5544117864417600 5601454467972688 5741809819106400 5971482211870656 6059265650451225 6220293970698600 6301636276469274 6463216693814640 6634980235411840 7001818084965860 7464352764838320 7655746425475200 7755860032577568 8079020867268300 8293725294264800 8402181701959032 8617622258419520 8752272606207325 9102363510455618 9330440956047900 9694825040721960 9952470353117760 10341146710103424 10502727127448790 10772027823024400 11088235728835200 11202908935945376 11483619638212800 11942964423741312 12118531300902450 12440587941397200 12603272552938548 12926433387629280 13653545265683427 14003636169931720 14928705529676640 15511720065155136 15754090691173185 16158041734536600 16587450588529600 16804363403918064 17235244516839040 17504545212414650 18204727020911236 18660881912095800 19389650081443920 19904940706235520 21005454254897580 21544055646048800 22405817871890752 22755908776139045 22967239276425600 24237062601804900 24881175882794400 25206545105877096 25852866775258560 26256817818621975 27307090531366854 28007272339863440 29857411059353280 31023440130310272 31508181382346370 32316083469073200 33174901177059200 33608726807836128 35009090424829300 36409454041822472 37321763824191600 38779300162887840 40960635797050281 42010908509795160 43088111292097600 44811635743781504 45511817552278090 48474125203609800 49762351765588800 50413090211754192 51705733550517120 52513635637243950 54614181062733708 56014544679726880 59714822118706560 63016362764692740 64632166938146400 67217453615672256 68267726328417135 70018180849658600 72818908083644944 74643527648383200 77558600325775680 78770453455865925 81921271594100562 84021817019590320 86176222584195200 91023635104556180 96948250407219600 99524703531177600 100826180423508384 105027271274487900 109228362125467416 112029089359453760 113779543880695225 126032725529385480 129264333876292800 134434907231344512 136535452656834270 140036361699317200 145637816167289888 149287055296766400 155117200651551360 157540906911731850 163842543188201124 168043634039180640 182047270209112360 193896500814439200 201652360847016768 204803178985251405 210054542548975800 218456724250934832 224058178718907520 227559087761390450 252065451058770960 258528667752585600 273070905313668540 280072723398634400 291275632334579776 298574110593532800 315081813823463700 327685086376402248 336087268078361280 341338631642085675 364094540418224720 387793001628878400 403304721694033536 409606357970502810 420109085097951600 436913448501869664 455118175522780900 504130902117541920 546141810627337080 560145446797268800 582551264669159552 630163627646927400 655370172752804496 672174536156722560 682677263284171350 728189080836449440 775586003257756800 819212715941005620 840218170195903200 873826897003739328 910236351045561800 1008261804235083840 1024015894926257025 1092283621254674160 1120290893594537600 1260327255293854800 1310740345505608992 1365354526568342700 1456378161672898880 1638425431882011240 1680436340391806400 1747653794007478656 1820472702091123600 2016523608470167680 2048031789852514050 2184567242509348320 2520654510587709600 2621480691011217984 2730709053136685400 2912756323345797760 3276850863764022480 3360872680783612800 3640945404182247200 4096063579705028100 4369134485018696640 5041309021175419200 5242961382022435968 5461418106273370800 6553701727528044960 7281890808364494400 8192127159410056200 8738268970037393280 10082618042350838400 10922836212546741600 13107403455056089920 14563781616728988800 16384254318820112400 21845672425093483200 26214806910112179840 32768508637640224800 43691344850186966400 65537017275280449600 131074034550560899200
- Sum of all divisors σ(n): 507645962993533233285
- Sum of proper divisors (its aliquot sum) s(n): 376571928442972334085
- 131074034550560899200 is an abundant number, because the sum of its proper divisors (376571928442972334085) is greater than itself. Its abundance is 245497893892411434885
Bases of 131074034550560899200
- Binary: 11100011011000001001000001111110110101101110111010111000000100000002
- Hexadecimal: 0x71B0483F6B775C080
- Base-36: RNU7FFSPK6JK0
Squares and roots of 131074034550560899200
- 131074034550560899200 squared (1310740345505608992002) is 17180402533361632344740049327912560640000
- 131074034550560899200 cubed (1310740345505608992003) is 2251904675250386599635495249268374070582316804932927488000000
-
The
square root of 131074034550560899200 is 11448756899.7931342747 -
The
cube root of 131074034550560899200 is 5079709.6491025203
Scales and comparisons
How big is 131074034550560899200?- 131,074,034,550,560,899,200 seconds is equal to 293,274,701,009 years, 3 weeks, 3 days, 15 hours, 30 minutes, 7 seconds.
-
To count from 1 to 131,074,034,550,560,899,200 would take you about two hundred ninety-three billion, two hundred seventy-four million, seven hundred one thousand and 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 131074034550560899200 cubic inches would be around 423309.1 feet tall.
Recreational maths with 131074034550560899200
- 131074034550560899200 backwards is 002998065055430470131
- 131074034550560899200 is a
Harshad number . - The number of decimal digits it has is: 21
- The sum of 131074034550560899200's digits is 72
- More coming soon!
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"Number 131074034550560899200 - Facts about the integer". Numbermatics.com. 2024. Web. 5 June 2024.
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Numbermatics. (2024). Number 131074034550560899200 - Facts about the integer. Retrieved 5 June 2024, from https://numbermatics.com/n/131074034550560899200/
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The information we have on file for 131074034550560899200 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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