132812244763116800
132,812,244,763,116,800 is an even composite number composed of eight prime numbers multiplied together.
What does the number 132812244763116800 look like?
This visualization shows the relationship between its 8 prime factors (large circles) and 1728 divisors.
132812244763116800 is an even composite number. It is composed of eight distinct prime numbers multiplied together. It has a total of one thousand, seven hundred twenty-eight divisors.
Prime factorization of 132812244763116800:
28 × 52 × 7 × 19 × 113 × 137 × 257 × 39217
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 7 × 19 × 113 × 137 × 257 × 39217)See below for interesting mathematical facts about the number 132812244763116800 from the Numbermatics database.
Names of 132812244763116800
- Cardinal: 132812244763116800 can be written as One hundred thirty-two quadrillion, eight hundred twelve trillion, two hundred forty-four billion, seven hundred sixty-three million, one hundred sixteen thousand, eight hundred.
Scientific notation
- Scientific notation: 1.328122447631168 × 1017
Factors of 132812244763116800
Divisors of 132812244763116800
- Number of divisors d(n): 1728
-
Complete list of divisors:
1 2 4 5 7 8 10 14 16 19 20 25 28 32 35 38 40 50 56 64 70 76 80 95 100 112 113 128 133 137 140 152 160 175 190 200 224 226 256 257 266 274 280 304 320 350 380 400 448 452 475 514 532 548 560 565 608 640 665 685 700 760 791 800 896 904 950 959 1028 1064 1096 1120 1130 1216 1280 1285 1330 1370 1400 1520 1582 1600 1792 1799 1808 1900 1918 2056 2128 2147 2192 2240 2260 2432 2570 2603 2660 2740 2800 2825 3040 3164 3200 3325 3425 3598 3616 3800 3836 3955 4112 4256 4294 4384 4480 4520 4795 4864 4883 5140 5206 5320 5480 5600 5650 6080 6328 6400 6425 6650 6850 7196 7232 7600 7672 7910 8224 8512 8588 8768 8960 8995 9040 9590 9766 10280 10412 10640 10735 10960 11200 11300 12160 12656 12850 13015 13300 13700 14392 14464 15029 15200 15344 15481 15820 16448 17024 17176 17536 17990 18080 18221 19180 19532 19775 20560 20824 21280 21470 21920 22400 22600 23975 24320 24415 25312 25700 26030 26600 27400 28784 28928 29041 30058 30400 30688 30962 31640 32896 34048 34181 34352 35072 35209 35980 36160 36442 38360 39064 39217 39550 41120 41648 42560 42940 43840 44800 44975 45200 47950 48830 50624 51400 52060 53200 53675 54800 57568 58082 60116 60800 61376 61924 63280 65075 65792 68362 68704 70418 71960 72320 72884 75145 76720 77405 78128 78434 79100 82240 83296 85120 85880 87680 89950 90400 91105 95900 97660 101248 102800 104120 106400 107350 108367 109600 115136 116164 120232 121600 122075 122752 123848 126560 130150 136724 137408 140836 143920 144640 145205 145768 150290 153440 154810 156256 156868 158200 164480 166592 170240 170905 171760 175360 176045 179900 180800 182210 191800 195320 196085 202496 203287 205600 208240 212800 214700 216734 219200 230272 232328 240464 244150 245504 246463 247696 253120 260300 273448 274519 274816 281672 287840 290410 291536 294139 300580 306880 309620 312512 313736 316400 328960 333184 341810 343520 352090 359800 361600 364420 375725 383600 387025 390640 392170 406574 411200 416480 425600 429400 433468 438400 455525 460544 464656 480928 488300 492926 495392 506240 520600 541835 546896 549038 549632 551779 563344 575680 580820 583072 588278 601160 613760 619240 625024 627472 632800 666368 668971 683620 687040 704180 719600 723200 726025 728840 745123 751450 767200 774050 781280 784340 813148 822400 832960 851200 854525 858800 866936 876800 880225 911050 929312 961856 976600 980425 985852 990784 1012480 1016435 1041200 1083670 1093792 1098076 1103558 1126688 1151360 1161640 1166144 1176556 1202320 1227520 1232315 1238480 1250048 1254944 1265600 1337942 1367240 1372595 1374080 1408360 1439200 1452050 1457680 1470695 1490246 1502900 1534400 1548100 1562560 1568680 1626296 1644800 1665920 1709050 1717600 1733872 1760450 1822100 1858624 1923712 1953200 1960850 1971704 1981568 2032870 2058973 2082400 2167340 2187584 2196152 2207116 2253376 2302720 2323280 2332288 2353112 2404640 2464630 2476960 2509888 2531200 2675884 2709175 2734480 2745190 2748160 2758895 2816720 2878400 2904100 2915360 2941390 2980492 3005800 3068800 3096200 3125120 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212491431950 214476204320 216391170430 220926616480 225764425600 227780179400 228663346240 230704983260 235756917200 240698259200 241638486775 241899913600 242847350800 245115662080 255113800928 262350357070 268095255400 269436476800 271989032896 276158270600 285829182800 288381229075 291558629632 302947638602 306394577600 309297263072 312058845778 318892251160 322986976564 326661923200 338659879040 339986291120 343161926912 346225872688 353482586368 364448287040 367290499898 369127973216 377211067520 386621578840 388555761280 398615313950 403733720705 419760571312 423324848800 424982863900 428952408640 432782340860 441853232960 451528851200 455560358800 457326692480 461409966520 471513834400 483276973550 483799827200 485694701600 510227601856 524700714140 536190510800 538872953600 540977926075 543978065792 552316541200 571658365600 576762458150 605895277204 612789155200 618594526144 624117691556 637784502320 645973953128 653323846400 655875892675 677319758080 679972582240 692451745376 728896574080 734580999796 738255946432 754422135040 757369096505 773243157680 777111522560 780147114445 797230627900 807467441410 839521142624 846649697600 849965727800 857904817280 865564681720 883706465920 911120717600 914653384960 918226249745 922819933040 943027668800 966553947100 971389403200 1020455203712 1049401428280 1072381021600 1081955852150 1087956131584 1092205960223 1104633082400 1143316731200 1153524916300 1211790554408 1225578310400 1237189052288 1248235383112 1275569004640 1291947906256 1311751785350 1359945164480 1384903490752 1457793148160 1469161999592 1476511892864 1514738193010 1546486315360 1560294228890 1594461255800 1614934882820 1679042285248 1693299395200 1699931455600 1715809634560 1731129363440 1767412931840 1822241435200 1836452499490 1845639866080 1886055337600 1933107894200 1942778806400 2018668603525 2040910407424 2098802856560 2144762043200 2163911704300 2184411920446 2209266164800 2286633462400 2307049832600 2423581108816 2474378104576 2496470766224 2551138009280 2583895812512 2623503570700 2719890328960 2769806981504 2938323999184 2953023785728 2964559034891 3029476386020 3092972630720 3120588457780 3188922511600 3229869765640 3358084570496 3386598790400 3399862911200 3462258726880 3644482870400 3672904998980 3691279732160 3772110675200 3786845482525 3866215788400 3885557612800 3900735572225 4037337207050 4197605713120 4289524086400 4327823408600 4368823840892 4418532329600 4573266924800 4591131248725 4614099665200 4847162217632 4992941532448 5102276018560 5167791625024 5247007141400 5439780657920 5461029801115 5539613963008 5876647998368 5929118069782 6058952772040 6185945261440 6241176915560 6377845023200 6459739531280 6716169140992 6799725822400 6924517453760 7288965740800 7345809997960 7382559464320 7573690965050 7732431576800 7801471144450 8074674414100 8395211426240 8579048172800 8655646817200 8737647681784 8837064659200 9182262497450 9228199330400 9694324435264 9985883064896 10204552037120 10335583250048 10494014282800 10922059602230 11753295996736 11858236139564 12117905544080 12371890522880 12482353831120 12755690046400 12919479062560 13599451644800 13849034907520 14691619995920 14765118928640 14822795174455 15147381930100 15464863153600 15602942288900 16149348828200 16790422852480 17311293634400 17475295363568 18364524994900 18456398660800 19388648870528 19971766129792 20671166500096 20751913244237 20988028565600 21844119204460 23506591993472 23716472279128 24235811088160 24964707662240 25511380092800 25838958125120 27198903289600 27305149005575 27698069815040 29383239991840 29645590348910 30294763860200 30929726307200 31205884577800 32298697656400 33580845704960 34622587268800 34950590727136 36729049989800 36912797321600 38777297741056 39943532259584 41503826488474 41976057131200 43688238408920 47013183986944 47432944558256 48471622176320 49929415324480 51022760185600 51677916250240 54610298011150 58766479983680 59291180697820 60589527720400 61859452614400 62411769155600 64597395312800 69245174537600 69901181454272 73458099979600 73825594643200 74113975872275 83007652976948 83952114262400 87376476817840 94865889116512 96943244352640 99858830648960 103355832500480 103759566221185 109220596022300 117532959967360 118582361395640 121179055440800 124823538311200 129194790625600 138490349075200 139802362908544 146916199959200 148227951744550 166015305953896 167904228524800 174752953635680 189731778233024 193886488705280 199717661297920 207519132442370 218441192044600 235065919934720 237164722791280 242358110881600 249647076622400 258389581251200 279604725817088 293832399918400 296455903489100 332030611907792 349505907271360 379463556466048 415038264884740 436882384089200 474329445582560 484716221763200 499294153244800 516779162502400 518797831105925 587664799836800 592911806978200 664061223815584 699011814542720 758927112932096 830076529769480 873764768178400 948658891165120 969432443526400 998588306489600 1037595662211850 1175329599673600 1185823613956400 1328122447631168 1398023629085440 1660153059538960 1747529536356800 1897317782330240 2075191324423700 2371647227912800 2656244895262336 3320306119077920 3495059072713600 3794635564660480 4150382648847400 4743294455825600 5312489790524672 6640612238155840 6990118145427200 8300765297694800 9486588911651200 13281224476311680 16601530595389600 18973177823302400 26562448952623360 33203061190779200 66406122381558400 132812244763116800
- Sum of all divisors σ(n): 403451804736852480
- Sum of proper divisors (its aliquot sum) s(n): 270639559973735680
- 132812244763116800 is an abundant number, because the sum of its proper divisors (270639559973735680) is greater than itself. Its abundance is 137827315210618880
Bases of 132812244763116800
- Binary: 1110101111101100000001000011011101110110110000101000000002
- Hexadecimal: 0x1D7D8086EED8500
- Base-36: 10BQ0EY5F20W
Squares and roots of 132812244763116800
- 132812244763116800 squared (1328122447631168002) is 17639092359018045866545650442240000
- 132812244763116800 cubed (1328122447631168003) is 2342687451785128023949154667605030605960773632000000
-
The
square root of 132812244763116800 is 364434143.2455482759 -
The
cube root of 132812244763116800 is 510206.5609037175
Scales and comparisons
How big is 132812244763116800?- 132,812,244,763,116,800 seconds is equal to 4,223,018,568 years, 11 weeks, 3 days, 8 hours, 53 minutes, 20 seconds.
-
To count from 1 to 132,812,244,763,116,800 would take you about twelve billion, six hundred sixty-nine million, fifty-five thousand, seven hundred 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 132812244763116800 cubic inches would be around 42517.2 feet tall.
Recreational maths with 132812244763116800
- 132812244763116800 backwards is 008611367442218231
- The number of decimal digits it has is: 18
- The sum of 132812244763116800's digits is 59
- More coming soon!
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"Number 132812244763116800 - Facts about the integer". Numbermatics.com. 2024. Web. 17 June 2024.
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Numbermatics. (2024). Number 132812244763116800 - Facts about the integer. Retrieved 17 June 2024, from https://numbermatics.com/n/132812244763116800/
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Numbermatics. 2024. "Number 132812244763116800 - Facts about the integer". https://numbermatics.com/n/132812244763116800/
The information we have on file for 132812244763116800 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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