12825148336000
12,825,148,336,000 is an even composite number composed of seven prime numbers multiplied together.
12825148336000 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of one thousand and twenty-four divisors.
Prime factorization of 12825148336000:
27 × 53 × 7 × 11 × 13 × 41 × 19531
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 5 × 7 × 11 × 13 × 41 × 19531)See below for interesting mathematical facts about the number 12825148336000 from the Numbermatics database.
Names of 12825148336000
- Cardinal: 12825148336000 can be written as Twelve trillion, eight hundred twenty-five billion, one hundred forty-eight million, three hundred thirty-six thousand.
Scientific notation
- Scientific notation: 1.2825148336 × 1013
Factors of 12825148336000
Divisors of 12825148336000
- Number of divisors d(n): 1024
-
Complete list of divisors:
1 2 4 5 7 8 10 11 13 14 16 20 22 25 26 28 32 35 40 41 44 50 52 55 56 64 65 70 77 80 82 88 91 100 104 110 112 125 128 130 140 143 154 160 164 175 176 182 200 205 208 220 224 250 260 275 280 286 287 308 320 325 328 350 352 364 385 400 410 416 440 448 451 455 500 520 533 550 560 572 574 616 640 650 656 700 704 715 728 770 800 820 832 875 880 896 902 910 1000 1001 1025 1040 1066 1100 1120 1144 1148 1232 1300 1312 1375 1400 1408 1430 1435 1456 1540 1600 1625 1640 1664 1750 1760 1804 1820 1925 2000 2002 2050 2080 2132 2200 2240 2255 2275 2288 2296 2464 2600 2624 2665 2750 2800 2860 2870 2912 3080 3157 3200 3250 3280 3500 3520 3575 3608 3640 3731 3850 4000 4004 4100 4160 4264 4400 4480 4510 4550 4576 4592 4928 5005 5125 5200 5248 5330 5500 5600 5720 5740 5824 5863 6160 6314 6500 6560 7000 7040 7150 7175 7216 7280 7462 7700 8000 8008 8200 8320 8528 8800 9020 9100 9152 9184 9625 9856 10010 10250 10400 10660 11000 11200 11275 11375 11440 11480 11648 11726 12320 12628 13000 13120 13325 14000 14300 14350 14432 14560 14924 15400 15785 16000 16016 16400 17056 17600 17875 18040 18200 18304 18368 18655 19250 19531 20020 20500 20800 21320 22000 22400 22550 22750 22880 22960 23452 24640 25025 25256 26000 26240 26650 28000 28600 28700 28864 29120 29315 29848 30800 31570 32032 32800 34112 35200 35750 35875 36080 36400 36736 37310 38500 39062 40040 41000 41041 41600 42640 44000 45100 45500 45760 45920 46904 49280 50050 50512 52000 53300 56000 56375 57200 57400 57728 58240 58630 59696 61600 63140 64064 65600 66625 68224 71500 71750 72160 72800 74620 77000 78124 78925 80080 82000 82082 85280 88000 90200 91000 91520 91840 93275 93808 97655 100100 101024 104000 106600 112000 112750 114400 114800 117260 119392 123200 125125 126280 128128 131200 133250 136717 143000 143500 144320 145600 146575 149240 154000 156248 157850 160160 164000 164164 170560 176000 180400 182000 183680 186550 187616 195310 200200 202048 205205 208000 213200 214841 225500 228800 229600 234520 238784 246400 250250 252560 253903 266500 273434 286000 287000 288640 291200 293150 298480 308000 312496 315700 320320 328000 328328 341120 360800 364000 373100 375232 390620 394625 400400 404096 410410 426400 429682 451000 457600 459200 466375 469040 477568 488275 500500 505120 507806 533000 546868 572000 574000 586300 596960 616000 624992 631400 640640 656000 656656 683585 721600 728000 732875 746200 750464 781240 789250 800771 800800 820820 852800 859364 902000 918400 932750 938080 976550 1001000 1010240 1015612 1026025 1066000 1074205 1093736 1144000 1148000 1172600 1193920 1232000 1249984 1262800 1269515 1313312 1367170 1443200 1456000 1465750 1492400 1503887 1562480 1578500 1601542 1601600 1641640 1705600 1718728 1777321 1804000 1865500 1876160 1953100 2002000 2020480 2031224 2052050 2132000 2148410 2187472 2288000 2296000 2345200 2387840 2441375 2499968 2525600 2539030 2626624 2734340 2792933 2931500 2984800 3007774 3124960 3157000 3203084 3203200 3283280 3417925 3437456 3554642 3608000 3731000 3752320 3906200 4003855 4004000 4062448 4104100 4264000 4296820 4374944 4592000 4690400 4882750 5051200 5078060 5130125 5253248 5371025 5468680 5585866 5605397 5863000 5969600 6015548 6249920 6314000 6347575 6406168 6566560 6835850 6874912 7109284 7216000 7462000 7519435 7812400 8007710 8008000 8124896 8208200 8528000 8593640 8749888 8808481 8886605 9380800 9765500 10102400 10156120 10260250 10410023 10742050 10937360 11171732 11210794 11726000 11939200 12031096 12499840 12628000 12695150 12812336 13133120 13671700 13749824 13964665 14218568 14924000 15038870 15624800 16015420 16016000 16249792 16416400 17089625 17187280 17499776 17616962 17773210 18761600 19531000 19550531 20019275 20312240 20520500 20820046 21484100 21874720 22343464 22421588 23452000 24062192 25256000 25390300 25624672 26266240 26855125 27343400 27499648 27929330 28026985 28437136 29848000 30077740 31249600 31737875 32030840 32499584 32832800 34179250 34374560 35233924 35546420 37597175 39062000 39101062 40038550 40624480 41041000 41640092 42968200 43749440 44042405 44433025 44686928 44843176 46904000 48124384 50512000 50780600 51249344 52050115 53710250 54686800 55858660 56053970 56874272 59696000 60155480 61659367 62499200 63475750 64061680 65665600 68358500 68749120 69823325 70467848 71092840 72870161 75194350 78124000 78202124 80077100 81248960 82082000 83280184 85936400 87498880 88084810 88866050 89373856 89686352 93808000 96248768 97752655 100096375 101561200 102498688 104100230 107420500 109373600 111717320 112107940 113748544 114510253 120310960 123318734 126951500 128123360 131331200 136717000 137498240 139646650 140134925 140935696 142185680 145740322 150388700 156248000 156404248 160154200 162497920 164164000 166560368 171872800 176169620 177732100 178747712 179372704 187985875 192497536 195505310 200192750 203122400 208200460 214841000 218747200 220212025 222165125 223434640 224215880 227497088 229020506 240621920 246637468 253903000 256246720 260250575 273434000 279293300 280269850 281871392 284371360 291480644 300777400 308296835 312496000 312808496 320308400 328328000 333120736 343745600 349116625 352339240 355464200 357495424 358745408 364350805 375971750 391010620 400385500 406244800 416400920 429682000 437494400 440424050 444330250 446869280 448431760 458041012 481243840 488763275 493274936 507806000 512493440 520501150 546868000 558586600 560539700 563742784 568742720 572551265 582961288 601554800 616593670 625616992 640616800 656656000 666241472 687491200 698233250 700674625 704678480 710928400 717490816 728701610 751943500 782021240 800771000 801571771 812489600 832801840 859364000 880848100 888660500 893738560 896863520 916082024 962487680 977526550 986549872 1015612000 1041002300 1093736000 1101060125 1117173200 1121079400 1127485568 1137485440 1145102530 1165922576 1203109600 1233187340 1251233984 1281233600 1301252875 1332482944 1396466500 1401349250 1409356960 1421856800 1457403220 1503887000 1541484175 1564042480 1601542000 1603143542 1665603680 1718728000 1761696200 1777321000 1787477120 1793727040 1821754025 1832164048 1955053100 1973099744 2031224000 2082004600 2187472000 2202120250 2234346400 2242158800 2290205060 2331845152 2406219200 2443816375 2466374680 2502467968 2562467200 2602505750 2792933000 2802698500 2818713920 2843713600 2862756325 2914806440 3007774000 3082968350 3128084960 3203084000 3206287084 3331207360 3437456000 3523392400 3554642000 3587454080 3643508050 3664328096 3910106200 3946199488 4007858855 4062448000 4164009200 4404240500 4468692800 4484317600 4580410120 4663690304 4812438400 4887632750 4932749360 5205011500 5585866000 5605397000 5637427840 5687427200 5725512650 5829612880 6015548000 6165936700 6256169920 6406168000 6412574168 6662414720 7046784800 7109284000 7287016100 7328656192 7707420875 7820212400 7892398976 8015717710 8328018400 8808481000 8937385600 8968635200 9108770125 9160820240 9327380608 9775265500 9865498720 10410023000 11171732000 11210794000 11451025300 11659225760 12031096000 12331873400 12512339840 12812336000 12825148336 14093569600 14218568000 14313781625 14574032200 14657312384 15414841750 15640424800 16031435420 16656036800 17616962000 17937270400 18217540250 18321640480 19550531000 19730997440 20039294275 20820046000 22343464000 22421588000 22902050600 23318451520 24062192000 24663746800 25650296672 28187139200 28437136000 28627563250 29148064400 30829683500 31280849600 32062870840 33312073600 35233924000 36435080500 36643280960 39101062000 39461994880 40078588550 41640092000 44686928000 44843176000 45804101200 46636903040 49327493600 51300593344 57255126500 58296128800 61659367000 62561699200 64125741680 70467848000 72870161000 73286561920 78202124000 80157177100 83280184000 89686352000 91608202400 98654987200 100196471375 102601186688 114510253000 116592257600 123318734000 128251483360 140935696000 145740322000 156404248000 160314354200 166560368000 183216404800 197309974400 200392942750 229020506000 233184515200 246637468000 256502966720 291480644000 312808496000 320628708400 366432809600 400785885500 458041012000 493274936000 513005933440 582961288000 641257416800 801571771000 916082024000 986549872000 1165922576000 1282514833600 1603143542000 1832164048000 2565029667200 3206287084000 6412574168000 12825148336000
- Sum of all divisors σ(n): 43859134126080
- Sum of proper divisors (its aliquot sum) s(n): 31033985790080
- 12825148336000 is an abundant number, because the sum of its proper divisors (31033985790080) is greater than itself. Its abundance is 18208837454080
Bases of 12825148336000
- Binary: 101110101010000101100110100100100111100000002
- Hexadecimal: 0xBAA16692780
- Base-36: 4JNSI6M4G
Squares and roots of 12825148336000
- 12825148336000 squared (128251483360002) is 164484429840403568896000000
- 12825148336000 cubed (128251483360003) is 2109537211665560577194995757056000000000
-
The
square root of 12825148336000 is 3581221.6262052255 -
The
cube root of 12825148336000 is 23407.4515046977
Scales and comparisons
How big is 12825148336000?- 12,825,148,336,000 seconds is equal to 407,800 years, 2 weeks, 2 days, 20 hours, 26 minutes, 40 seconds.
-
To count from 1 to 12,825,148,336,000 would take you about one million, nineteen thousand, five hundred 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 12825148336000 cubic inches would be around 1950.6 feet tall.
Recreational maths with 12825148336000
- 12825148336000 backwards is 00063384152821
- The number of decimal digits it has is: 14
- The sum of 12825148336000's digits is 43
- More coming soon!
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The information we have on file for 12825148336000 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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