131451468213600

Names of 131451468213600

• Cardinal: 131451468213600 can be written as One hundred thirty-one trillion, four hundred fifty-one billion, four hundred sixty-eight million, two hundred thirteen thousand, six hundred.

Scientific notation

• Scientific notation: 1.314514682136 × 10¹⁴

Factors of 131451468213600

• Number of distinct prime factors ω(n): 5
• Total number of prime factors Ω(n): 14
• Sum of prime factors: 622

Divisors of 131451468213600

• Number of divisors d(n): 648
• Complete list of divisors:
  1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 25 27 30 32 36 40 45 48 50 54 60 72 75 80 90 96 100 108 120 135 144 150 160 180 181 200 216 225 240 270 288 300 360 362 400 431 432 450 480 540 543 600 675 720 724 800 862 864 900 905 1080 1086 1200 1293 1350 1440 1448 1629 1724 1800 1810 2155 2160 2172 2400 2586 2700 2715 2896 3258 3448 3600 3620 3879 4310 4320 4344 4525 4887 5172 5400 5430 5792 6465 6516 6896 7200 7240 7758 8145 8620 8688 9050 9774 10344 10775 10800 10860 11637 12930 13032 13575 13792 14480 15516 16290 17240 17376 18100 19395 19548 20688 21550 21600 21720 23274 24435 25860 26064 27150 28960 31032 32325 32580 32761 34480 36200 38790 39096 40725 41376 43100 43440 46548 48870 51720 52128 54300 58185 62064 64650 65160 65522 68960 72400 77580 78011 78192 81450 86200 86880 93096 96975 97740 98283 103440 108600 116370 122175 124128 129300 130320 131044 144800 155160 156022 156384 162900 163805 172400 185761 186192 193950 195480 196566 206880 217200 232740 234033 244350 258600 260640 262088 290925 294849 310320 312044 325800 327610 344800 371522 372384 387900 390055 390960 393132 434400 465480 468066 488700 491415 517200 524176 557283 581850 589698 620640 624088 651600 655220 702099 743044 775800 780110 781920 786264 819025 884547 928805 930960 936132 977400 982830 1034400 1048352 1114566 1163700 1170165 1179396 1248176 1303200 1310440 1404198 1474245 1486088 1551600 1560220 1572528 1638050 1671849 1769094 1857610 1861920 1872264 1950275 1954800 1965660 2106297 2229132 2327400 2340330 2358792 2457075 2496352 2620880 2786415 2808396 2948490 2972176 3103200 3120440 3145056 3276100 3343698 3510495 3538188 3715220 3744528 3900550 3909600 3931320 4212594 4422735 4458264 4644025 4654800 4680660 4717584 4914150 5015547 5241760 5572830 5616792 5850825 5896980 5944352 6240880 6552200 6687396 7020990 7076376 7371225 7430440 7489056 7801100 7862640 8359245 8425188 8845470 8916528 9288050 9309600 9361320 9435168 9828300 10031094 10531485 11145660 11233584 11701650 11793960 12481760 13104400 13374792 13932075 14041980 14119991 14152752 14742450 14860880 15602200 15725280 16718490 16850376 17552475 17690940 17833056 18576100 18722640 19656600 20062188 21062970 22113675 22291320 22467168 23403300 23587920 25077735 26208800 26749584 27864150 28083960 28239982 28305504 29484900 29721760 31204400 33436980 33622741 33700752 35104950 35381880 37152200 37445280 39313200 40124376 41796225 42125940 42359973 44227350 44582640 46806600 47175840 50155470 52657425 53499168 55728300 56167920 56479964 58969800 62408800 66873960 67245482 67401504 70209900 70599955 70763760 74304400 78626400 80248752 83592450 84251880 84719946 88454700 89165280 93613200 100310940 100868223 105314850 111456600 112335840 112959928 117939600 125388675 127079919 133747920 134490964 140419800 141199910 141527520 148608800 160497504 167184900 168113705 168503760 169439892 176909400 187226400 200621880 201736446 210629700 211799865 222913200 225919856 235879200 250777350 254159838 267495840 268981928 280839600 282399820 302604669 334369800 336227410 337007520 338879784 352999775 353818800 381239757 401243760 403472892 421259400 423599730 445826400 451839712 501554700 504341115 508319676 537963856 561679200 564799640 605209338 635399595 668739600 672454820 677759568 705999550 707637600 762479514 802487520 806945784 840568525 842518800 847199460 907814007 1003109400 1008682230 1016639352 1058999325 1075927712 1129599280 1210418676 1270799190 1337479200 1344909640 1355519136 1411999100 1513023345 1524959028 1613891568 1681137050 1685037600 1694398920 1815628014 1906198785 2006218800 2017364460 2033278704 2117998650 2259198560 2420837352 2521705575 2541598380 2689819280 2823998200 3026046690 3049918056 3176997975 3227783136 3362274100 3388797840 3631256028 3812397570 4012437600 4034728920 4066557408 4235997300 4539070035 4841674704 5043411150 5083196760 5379638560 5647996400 6052093380 6085716121 6099836112 6353995950 6724548200 6777595680 7262512056 7565116725 7624795140 8069457840 8471994600 9078140070 9530993925 9683349408 10086822300 10166393520 11295992800 12104186760 12171432242 12199672224 12707991900 13449096400 14525024112 15130233450 15249590280 16138915680 16943989200 18156280140 18257148363 19061987850 20173644600 20332787040 22695350175 24208373520 24342864484 25415983800 26898192800 29050048224 30260466900 30428580605 30499180560 33887978400 36312560280 36514296726 38123975700 40347289200 45390700350 48416747040 48685728968 50831967600 54771445089 60520933800 60857161210 60998361120 72625120560 73028593452 76247951400 80694578400 90781400700 91285741815 97371457936 101663935200 109542890178 121041867600 121714322420 145250241120 146057186904 152142903025 152495902800 164314335267 181562801400 182571483630 194742915872 219085780356 242083735200 243428644840 273857225445 292114373808 304285806050 304991805600 328628670534 363125602800 365142967260 438171560712 456428709075 486857289680 547714450890 584228747616 608571612100 657257341068 726251205600 730285934520 821571676335 876343121424 912857418150 973714579360 1095428901780 1217143224200 1314514682136 1369286127225 1460571869040 1643143352670 1752686242848 1825714836300 2190857803560 2434286448400 2629029364272 2738572254450 2921143738080 3286286705340 3651429672600 4107858381675 4381715607120 4868572896800 5258058728544 5477144508900 6572573410680 7302859345200 8215716763350 8763431214240 10954289017800 13145146821360 14605718690400 16431433526700 21908578035600 26290293642720 32862867053400 43817156071200 65725734106800 131451468213600
• Sum of all divisors σ(n): 479169018641880
• Sum of proper divisors (its aliquot sum) s(n): 347717550428280
• 131451468213600 is an abundant number, because the sum of its proper divisors (347717550428280) is greater than itself. Its abundance is 216266082214680

Bases of 131451468213600

• Binary: 11101111000110111101110000100010110110101100000₂
• Hexadecimal: 0x778DEE116D60
• Base-36: 1ALFYY74O0

Squares and roots of 131451468213600

• 131451468213600 squared (131451468213600²) is 17279488495511091175224960000
• 131451468213600 cubed (131451468213600³) is 2271414132714943087906335297269331456000000
• The square root of 131451468213600 is 11465228.6594555105
• The cube root of 131451468213600 is 50845.8072849425

Scales and comparisons

• 131,451,468,213,600 seconds is equal to 4,179,750 years, 4 weeks, 2 days, 6 hours.
• To count from 1 to 131,451,468,213,600 would take you about ten million, four hundred forty-nine thousand, three hundred seventy-five 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 131451468213600 cubic inches would be around 4237.2 feet tall.

Recreational maths with 131451468213600

• 131451468213600 backwards is 006312864154131
• 131451468213600 is a Harshad number.
• The number of decimal digits it has is: 15
• The sum of 131451468213600's digits is 45
• More coming soon!