13142200614400
13,142,200,614,400 is an even composite number composed of seven prime numbers multiplied together.
13142200614400 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of nine hundred sixty divisors.
Prime factorization of 13142200614400:
29 × 52 × 11 × 13 × 37 × 41 × 4733
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 11 × 13 × 37 × 41 × 4733)See below for interesting mathematical facts about the number 13142200614400 from the Numbermatics database.
Names of 13142200614400
- Cardinal: 13142200614400 can be written as Thirteen trillion, one hundred forty-two billion, two hundred million, six hundred fourteen thousand, four hundred.
Scientific notation
- Scientific notation: 1.31422006144 × 1013
Factors of 13142200614400
Divisors of 13142200614400
- Number of divisors d(n): 960
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Complete list of divisors:
1 2 4 5 8 10 11 13 16 20 22 25 26 32 37 40 41 44 50 52 55 64 65 74 80 82 88 100 104 110 128 130 143 148 160 164 176 185 200 205 208 220 256 260 275 286 296 320 325 328 352 370 400 407 410 416 440 451 481 512 520 533 550 572 592 640 650 656 704 715 740 800 814 820 832 880 902 925 962 1025 1040 1066 1100 1144 1184 1280 1300 1312 1408 1430 1480 1517 1600 1628 1640 1664 1760 1804 1850 1924 2035 2050 2080 2132 2200 2255 2288 2368 2405 2560 2600 2624 2665 2816 2860 2960 3034 3200 3256 3280 3328 3520 3575 3608 3700 3848 4070 4100 4160 4264 4400 4510 4576 4733 4736 4810 5200 5248 5291 5330 5632 5720 5863 5920 6068 6400 6512 6560 6656 7040 7150 7216 7400 7585 7696 8140 8200 8320 8528 8800 9020 9152 9466 9472 9620 10175 10400 10496 10582 10660 11275 11440 11726 11840 12025 12136 12800 13024 13120 13325 14080 14300 14432 14800 15170 15392 16280 16400 16640 16687 17056 17600 18040 18304 18932 18944 19240 19721 20350 20800 20992 21164 21320 22550 22880 23452 23665 23680 24050 24272 26048 26240 26455 26650 28160 28600 28864 29315 29600 30340 30784 32560 32800 33280 33374 34112 35200 36080 36608 37864 37925 38480 39442 40700 41600 42328 42640 45100 45760 46904 47330 47360 48100 48544 52063 52096 52480 52910 53300 57200 57728 58630 59200 60680 61529 61568 65120 65600 66748 68224 70400 72160 73216 75728 75850 76960 78884 81400 83200 83435 84656 85280 90200 91520 93808 94660 94720 96200 97088 98605 104126 104192 104960 105820 106600 114400 115456 117260 118325 118400 121360 123058 123136 130240 131200 132275 133496 136448 140800 144320 146575 151456 151700 153920 157768 162800 166400 166870 169312 170560 175121 180400 183040 187616 189320 192400 194053 194176 197210 208252 208384 211640 213200 216931 228800 230912 234520 236650 236800 242720 246116 246272 260315 260480 262400 264550 266992 272896 288640 293150 302912 303400 307645 307840 315536 325600 333740 338624 341120 350242 360800 366080 375232 378640 384800 388106 388352 394420 416504 417175 423280 426400 433862 457600 469040 473300 473600 485440 492232 493025 520630 520960 524800 529100 533984 577280 586300 605824 606800 615290 615680 631072 651200 667480 676819 677248 682240 700484 721600 750464 757280 769600 776212 776704 788840 833008 834350 846560 852800 867724 875605 915200 938080 946600 970265 970880 984464 986050 1041260 1041920 1058200 1067968 1084655 1154560 1172600 1211648 1213600 1230580 1231360 1262144 1301575 1302400 1334960 1353638 1354496 1364480 1400968 1443200 1500928 1514560 1538225 1539200 1552424 1577680 1666016 1668700 1693120 1705600 1735448 1751210 1830400 1876160 1893200 1926331 1940530 1941760 1968928 1972100 2082520 2116400 2134583 2135936 2169310 2276573 2345200 2423296 2427200 2461160 2522689 2524288 2603150 2604800 2669920 2707276 2708992 2801936 2886400 3001856 3029120 3076450 3078400 3104848 3155360 3332032 3337400 3384095 3386240 3411200 3470896 3502420 3752320 3786400 3852662 3881060 3883520 3937856 3944200 4165040 4232800 4269166 4271872 4338620 4378025 4553146 4690400 4851325 4854400 4922320 5045378 5048576 5206300 5209600 5339840 5414552 5423275 5603872 5772800 6058240 6152900 6156800 6209696 6310720 6664064 6674800 6768190 6772480 6822400 6941792 7004840 7179961 7504640 7572800 7705324 7762120 7875712 7888400 8330080 8465600 8538332 8543744 8677240 8756050 9106292 9380800 9631655 9702650 9708800 9844640 10090756 10097152 10412600 10672915 10679680 10829104 10846550 11207744 11382865 12116480 12305800 12419392 12613445 12621440 13328128 13349600 13536380 13544960 13883584 14009680 14359922 15009280 15145600 15410648 15524240 15751424 15776800 16660160 16920475 16931200 17076664 17354480 17512100 18212584 18761600 19263310 19405300 19417600 19689280 20181512 20825200 21345830 21359360 21658208 21693100 22415488 22765730 24611600 24838784 25042303 25226890 25242880 26656256 26699200 27072760 27749579 27767168 28019360 28719844 30291200 30821296 31048480 31502848 31553600 33320320 33840950 33862400 34153328 34708960 35024200 35899805 36425168 37523200 38526620 38810600 39378560 40363024 41650400 42691660 42718720 43316416 43386200 44830976 45531460 48158275 49223200 49677568 50084606 50453780 50485760 53364575 53398400 54145520 55499158 55534336 56038720 56914325 57439688 60582400 61642592 62096960 63067225 63107200 66640640 67681900 67724800 68306656 69417920 70048400 71799610 72850336 75046400 77053240 77621200 78757120 78979571 80726048 83300800 85383320 86632832 86772400 89661952 91062920 93339493 96316550 98446400 99355136 100169212 100907560 106729150 106796800 108291040 110998316 111068672 112077440 113828650 114879376 123285184 124193920 125211515 126134450 126214400 133281280 135363800 136613312 138747895 138835840 140096800 143599220 145700672 154106480 155242400 157514240 157959142 161452096 166601600 170766640 173265664 173544800 179499025 182125840 186678986 192633100 196892800 200338424 201815120 213458300 213593600 216582080 221996632 224154880 227657300 229758752 246570368 248387840 250423030 252268900 252428800 270727600 273226624 277495790 277671680 280193600 287198440 291401344 308212960 310484800 315918284 322904192 333203200 341533280 346531328 347089600 358998050 364251680 373357972 385266200 393785600 394897855 400676848 403630240 426916600 433164160 443993264 448309760 455314600 459517504 466697465 493140736 496775680 500846060 504537800 541455200 546453248 554991580 555343360 560387200 574396880 582802688 616425920 620969600 626057575 631836568 645808384 666406400 683066560 693739475 694179200 717996100 728503360 746715944 770532400 787571200 789795710 801353696 807260480 853833200 866328320 887986528 910629200 919035008 933394930 986281472 1001692120 1009075600 1026734423 1082910400 1092906496 1109983160 1120774400 1148793760 1165605376 1232851840 1241939200 1252115150 1263673136 1291616768 1366133120 1387478950 1388358400 1435992200 1457006720 1493431888 1541064800 1579591420 1602707392 1614520960 1707666400 1732656640 1775973056 1821258400 1838070016 1866789860 1974489275 2003384240 2018151200 2053468846 2165820800 2219966320 2241548800 2297587520 2333487325 2465703680 2483878400 2504230300 2527346272 2732266240 2774957900 2776716800 2871984400 2914013440 2986863776 3082129600 3159182840 3205414784 3229041920 3415332800 3551946112 3642516800 3676140032 3733579720 3948978550 4006768480 4036302400 4106937692 4331641600 4439932640 4595175040 4666974650 4931407360 5008460600 5054692544 5133672115 5464532480 5549915800 5743968800 5828026880 5973727552 6164259200 6318365680 6410829568 6458083840 6830665600 7103892224 7285033600 7467159440 7897957100 8013536960 8072604800 8213875384 8663283200 8879865280 9190350080 9333949300 10016921200 10109385088 10267344230 11099831600 11487937600 11947455104 12328518400 12636731360 12821659136 13661331200 14207784448 14570067200 14934318880 15795914200 16027073920 16145209600 16427750768 17759730560 18380700160 18667898600 20033842400 20218770176 20534688460 22199663200 22975875200 23894910208 24657036800 25273462720 25668360575 27322662400 29140134400 29868637760 31591828400 32054147840 32290419200 32855501536 35519461120 37335797200 40067684800 40437540352 41069376920 44399326400 45951750400 47789820416 50546925440 51336721150 59737275520 63183656800 64108295680 65711003072 71038922240 74671594400 80135369600 82138753840 88798652800 91903500800 101093850880 102673442300 119474551040 126367313600 131422006144 149343188800 160270739200 164277507680 177597305600 202187701760 205346884600 238949102080 252734627200 262844012288 298686377600 320541478400 328555015360 355194611200 410693769200 505469254400 525688024576 597372755200 657110030720 821387538400 1010938508800 1194745510400 1314220061440 1642775076800 2628440122880 3285550153600 6571100307200 13142200614400
- Sum of all divisors σ(n): 40253880211776
- Sum of proper divisors (its aliquot sum) s(n): 27111679597376
- 13142200614400 is an abundant number, because the sum of its proper divisors (27111679597376) is greater than itself. Its abundance is 13969478982976
Bases of 13142200614400
- Binary: 101111110011111010000011001011111110000000002
- Hexadecimal: 0xBF3E832FE00
- Base-36: 4NPFYX9TS
Squares and roots of 13142200614400
- 13142200614400 squared (131422006144002) is 172717436989135737487360000
- 13142200614400 cubed (131422006144003) is 2269887206516212975331379704233984000000
-
The
square root of 13142200614400 is 3625217.3196099569 -
The
cube root of 13142200614400 is 23598.7698142633
Scales and comparisons
How big is 13142200614400?- 13,142,200,614,400 seconds is equal to 417,881 years, 17 weeks, 9 hours, 46 minutes, 40 seconds.
-
To count from 1 to 13,142,200,614,400 would take you about one million, forty-four thousand, seven hundred three 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 13142200614400 cubic inches would be around 1966.6 feet tall.
Recreational maths with 13142200614400
- 13142200614400 backwards is 00441600224131
- The number of decimal digits it has is: 14
- The sum of 13142200614400's digits is 28
- More coming soon!
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The information we have on file for 13142200614400 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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