131938113126400
131,938,113,126,400 is an even composite number composed of five prime numbers multiplied together.
What does the number 131938113126400 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 864 divisors.
131938113126400 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of eight hundred sixty-four divisors.
Prime factorization of 131938113126400:
215 × 52 × 72 × 83 × 1992
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 7 × 7 × 83 × 199 × 199)See below for interesting mathematical facts about the number 131938113126400 from the Numbermatics database.
Names of 131938113126400
- Cardinal: 131938113126400 can be written as One hundred thirty-one trillion, nine hundred thirty-eight billion, one hundred thirteen million, one hundred twenty-six thousand, four hundred.
Scientific notation
- Scientific notation: 1.319381131264 × 1014
Factors of 131938113126400
Divisors of 131938113126400
- Number of divisors d(n): 864
-
Complete list of divisors:
1 2 4 5 7 8 10 14 16 20 25 28 32 35 40 49 50 56 64 70 80 83 98 100 112 128 140 160 166 175 196 199 200 224 245 256 280 320 332 350 392 398 400 415 448 490 512 560 581 640 664 700 784 796 800 830 896 980 995 1024 1120 1162 1225 1280 1328 1393 1400 1568 1592 1600 1660 1792 1960 1990 2048 2075 2240 2324 2450 2560 2656 2786 2800 2905 3136 3184 3200 3320 3584 3920 3980 4067 4096 4150 4480 4648 4900 4975 5120 5312 5572 5600 5810 6272 6368 6400 6640 6965 7168 7840 7960 8134 8192 8300 8960 9296 9751 9800 9950 10240 10624 11144 11200 11620 12544 12736 12800 13280 13930 14336 14525 15680 15920 16268 16384 16517 16600 17920 18592 19502 19600 19900 20335 20480 21248 22288 22400 23240 25088 25472 25600 26560 27860 28672 29050 31360 31840 32536 32768 33034 33200 34825 35840 37184 39004 39200 39601 39800 40670 40960 42496 44576 44800 46480 48755 50176 50944 51200 53120 55720 57344 58100 62720 63680 65072 66068 66400 69650 71680 74368 78008 78400 79202 79600 81340 81920 82585 84992 89152 89600 92960 97510 100352 101675 101888 102400 106240 111440 114688 115619 116200 125440 127360 130144 132136 132800 139300 143360 148736 156016 156800 158404 159200 162680 163840 165170 169984 178304 179200 185920 195020 198005 200704 203350 203776 204800 212480 222880 229376 231238 232400 243775 250880 254720 260288 264272 265600 277207 278600 286720 297472 312032 313600 316808 318400 325360 330340 339968 356608 358400 371840 390040 396010 401408 406700 407552 409600 412925 424960 445760 462476 464800 487550 501760 509440 520576 528544 531200 554414 557200 573440 578095 594944 624064 627200 633616 636800 650720 660680 679936 713216 716800 743680 780080 792020 802816 809333 813400 815104 819200 825850 849920 891520 924952 929600 975100 990025 1003520 1018880 1041152 1057088 1062400 1108828 1114400 1146880 1156190 1189888 1248128 1254400 1267232 1273600 1301440 1321360 1359872 1386035 1426432 1433600 1487360 1560160 1584040 1605632 1618666 1626800 1630208 1651700 1699840 1783040 1849904 1859200 1940449 1950200 1980050 2007040 2037760 2082304 2114176 2124800 2217656 2228800 2312380 2379776 2496256 2508800 2534464 2547200 2602880 2642720 2719744 2772070 2852864 2867200 2890475 2974720 3120320 3168080 3237332 3253600 3260416 3286883 3303400 3399680 3566080 3699808 3718400 3880898 3900400 3960100 4014080 4046665 4075520 4164608 4228352 4249600 4435312 4457600 4624760 4759552 4992512 5017600 5068928 5094400 5205760 5285440 5544140 5705728 5734400 5780950 5949440 6240640 6336160 6474664 6507200 6520832 6573766 6606800 6799360 6930175 7132160 7399616 7436800 7761796 7800800 7920200 8028160 8093330 8151040 8329216 8456704 8499200 8870624 8915200 9249520 9519104 9702245 9985024 10035200 10137856 10188800 10411520 10570880 11088280 11411456 11561900 11898880 12481280 12672320 12949328 13014400 13147532 13213600 13598720 13860350 14264320 14799232 14873600 15523592 15601600 15840400 16186660 16302080 16434415 16658432 16913408 16998400 17741248 17830400 18499040 19038208 19404490 19970048 20070400 20233325 20275712 20377600 20823040 21141760 22176560 22822912 23008181 23123800 23797760 24962560 25344640 25898656 26028800 26295064 26427200 27720700 28528640 29598464 29747200 31047184 31203200 31680800 32373320 32604160 32868830 33316864 33826816 33996800 35482496 35660800 36998080 38808980 39940096 40140800 40466650 40551424 40755200 41646080 42283520 44353120 45645824 46016362 46247600 47595520 48511225 49925120 50689280 51797312 52057600 52590128 52854400 55441400 57057280 59196928 59494400 62094368 62406400 63361600 64746640 65737660 66633728 67653632 67993600 70964992 71321600 73996160 77617960 79880192 80933300 81102848 81510400 82172075 83292160 84567040 88706240 92032724 92495200 95191040 97022450 99850240 101378560 103594624 104115200 105180256 105708800 110882800 114114560 115040905 118393856 118988800 124188736 124812800 126723200 129493280 131475320 133267456 135307264 141929984 142643200 147992320 155235920 159760384 161057267 161866600 162205696 163020800 164344150 166584320 169134080 177412480 184065448 184990400 194044900 199700480 202757120 207189248 208230400 210360512 211417600 221765600 228229120 230081810 236787712 237977600 248377472 249625600 253446400 258986560 262950640 270614528 283859968 285286400 295984640 310471840 319520768 322114534 323733200 324411392 328688300 333168640 338268160 354824960 368130896 369980800 388089800 399400960 405514240 414378496 416460800 420721024 422835200 443531200 460163620 473575424 475955200 496754944 499251200 506892800 517973120 525901280 541229056 567719936 570572800 575204525 591969280 620943680 644229068 647466400 648822784 657376600 666337280 676536320 709649920 736261792 739961600 776179600 798801920 805286335 811028480 828756992 832921600 841442048 845670400 887062400 920327240 947150848 993509888 998502400 1013785600 1035946240 1051802560 1135439872 1141145600 1150409050 1183938560 1241887360 1288458136 1294932800 1297645568 1314753200 1353072640 1419299840 1472523584 1479923200 1552359200 1597603840 1610572670 1622056960 1657513984 1665843200 1682884096 1691340800 1774124800 1840654480 1894301696 1987019776 1997004800 2027571200 2071892480 2103605120 2270879744 2300818100 2367877120 2483774720 2576916272 2589865600 2629506400 2706145280 2838599680 2945047168 2959846400 3104718400 3221145340 3244113920 3315027968 3331686400 3365768192 3382681600 3548249600 3681308960 3788603392 3974039552 3994009600 4026431675 4055142400 4143784960 4207210240 4541759488 4601636200 4735754240 4967549440 5153832544 5179731200 5259012800 5677199360 5890094336 5919692800 6209436800 6442290680 6488227840 6630055936 6731536384 6765363200 7096499200 7362617920 7948079104 7988019200 8052863350 8110284800 8287569920 8414420480 9083518976 9203272400 9471508480 9935098880 10307665088 10359462400 10518025600 11354398720 11780188672 11839385600 12418873600 12884581360 13260111872 13463072768 13530726400 14192998400 14725235840 15896158208 16105726700 16220569600 16575139840 16828840960 18406544800 18943016960 19870197760 20615330176 20718924800 21036051200 22708797440 23560377344 23678771200 24837747200 25769162720 26520223744 26926145536 28385996800 29450471680 31792316416 32211453400 32441139200 33150279680 33657681920 36813089600 39740395520 41230660352 41437849600 42072102400 45417594880 47120754688 47357542400 49675494400 51538325440 53852291072 56771993600 58900943360 63584632832 64422906800 66300559360 67315363840 73626179200 79480791040 82461320704 82875699200 84144204800 94241509376 94715084800 99350988800 103076650880 107704582144 113543987200 117801886720 128845813600 132601118720 134630727680 147252358400 158961582080 164922641408 165751398400 168288409600 188483018752 198701977600 206153301760 227087974400 235603773440 257691627200 269261455360 294504716800 317923164160 329845282816 331502796800 336576819200 376966037504 397403955200 412306603520 471207546880 515383254400 538522910720 589009433600 659690565632 663005593600 673153638400 753932075008 794807910400 824613207040 942415093760 1030766508800 1178018867200 1319381131264 1346307276800 1589615820800 1649226414080 1884830187520 2061533017600 2356037734400 2638762262528 2692614553600 3298452828160 3769660375040 4123066035200 4712075468800 5277524525056 6596905656320 8246132070400 9424150937600 13193811312640 16492264140800 18848301875200 26387622625280 32984528281600 65969056563200 131938113126400
- Sum of all divisors σ(n): 387153440632980
- Sum of proper divisors (its aliquot sum) s(n): 255215327506580
- 131938113126400 is an abundant number, because the sum of its proper divisors (255215327506580) is greater than itself. Its abundance is 123277214380180
Bases of 131938113126400
- Binary: 111011111111111001111000101110110000000000000002
- Hexadecimal: 0x77FF3C5D8000
- Base-36: 1ARNJ60IKG
Squares and roots of 131938113126400
- 131938113126400 squared (1319381131264002) is 17407665695354723982376960000
- 131938113126400 cubed (1319381131264003) is 2296734565780264091763498468448927744000000
-
The
square root of 131938113126400 is 11486431.6968499839 -
The
cube root of 131938113126400 is 50908.4752332815
Scales and comparisons
How big is 131938113126400?- 131,938,113,126,400 seconds is equal to 4,195,223 years, 46 weeks, 12 hours, 26 minutes, 40 seconds.
-
To count from 1 to 131,938,113,126,400 would take you about ten million, four hundred eighty-eight thousand and fifty-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 131938113126400 cubic inches would be around 4242.4 feet tall.
Recreational maths with 131938113126400
- 131938113126400 backwards is 004621311839131
- The number of decimal digits it has is: 15
- The sum of 131938113126400's digits is 43
- More coming soon!
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The information we have on file for 131938113126400 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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