31378820148000
31,378,820,148,000 is an even composite number composed of six prime numbers multiplied together.
What does the number 31378820148000 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 1152 divisors.
31378820148000 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one thousand, one hundred fifty-two divisors.
Prime factorization of 31378820148000:
25 × 33 × 53 × 132 × 127 × 13537
(2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 5 × 5 × 5 × 13 × 13 × 127 × 13537)See below for interesting mathematical facts about the number 31378820148000 from the Numbermatics database.
Names of 31378820148000
- Cardinal: 31378820148000 can be written as Thirty-one trillion, three hundred seventy-eight billion, eight hundred twenty million, one hundred forty-eight thousand.
Scientific notation
- Scientific notation: 3.1378820148 × 1013
Factors of 31378820148000
Divisors of 31378820148000
- Number of divisors d(n): 1152
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Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 13 15 16 18 20 24 25 26 27 30 32 36 39 40 45 48 50 52 54 60 65 72 75 78 80 90 96 100 104 108 117 120 125 127 130 135 144 150 156 160 169 180 195 200 208 216 225 234 240 250 254 260 270 288 300 312 325 338 351 360 375 381 390 400 416 432 450 468 480 500 507 508 520 540 585 600 624 635 650 675 676 702 720 750 762 780 800 845 864 900 936 975 1000 1014 1016 1040 1080 1125 1143 1170 1200 1248 1270 1300 1350 1352 1404 1440 1500 1521 1524 1560 1625 1651 1690 1755 1800 1872 1905 1950 2000 2028 2032 2080 2160 2250 2286 2340 2400 2535 2540 2600 2700 2704 2808 2925 3000 3042 3048 3120 3175 3250 3302 3375 3380 3429 3510 3600 3744 3810 3900 4000 4056 4064 4225 4320 4500 4563 4572 4680 4875 4953 5070 5080 5200 5400 5408 5616 5715 5850 6000 6084 6096 6240 6350 6500 6604 6750 6760 6858 7020 7200 7605 7620 7800 8112 8255 8450 8775 9000 9126 9144 9360 9525 9750 9906 10140 10160 10400 10800 11232 11430 11700 12000 12168 12192 12675 12700 13000 13208 13500 13520 13537 13716 14040 14625 14859 15210 15240 15600 15875 16224 16510 16900 17145 17550 18000 18252 18288 18720 19050 19500 19812 20280 20320 21125 21463 21600 22815 22860 23400 24336 24765 25350 25400 26000 26416 27000 27040 27074 27432 28080 28575 29250 29718 30420 30480 31200 31750 33020 33800 34290 35100 36000 36504 36576 38025 38100 39000 39624 40560 40611 41275 42250 42926 43875 44577 45630 45720 46800 47625 48672 49530 50700 50800 52000 52832 54000 54148 54864 56160 57150 58500 59436 60840 60960 63375 63500 64389 66040 67600 67685 68580 70200 73008 74295 76050 76200 78000 79248 81120 81222 82550 84500 85725 85852 87750 89154 91260 91440 93600 95250 99060 101400 101600 107315 108000 108296 109728 114075 114300 117000 118872 121680 121833 123825 126750 127000 128778 132080 135200 135370 137160 140400 142875 146016 148590 152100 152400 156000 158496 162444 165100 169000 171450 171704 175500 175981 178308 182520 182880 190125 190500 193167 198120 202800 203055 206375 214630 216592 222885 228150 228600 234000 237744 243360 243666 247650 253500 254000 257556 264160 270740 274320 280800 285750 297180 304200 304800 321945 324888 330200 338000 338425 342900 343408 351000 351962 356616 365040 365499 371475 380250 381000 386334 396240 405600 406110 412750 428625 429260 433184 445770 456300 457200 468000 475488 487332 495300 507000 508000 515112 527943 536575 541480 548640 570375 571500 579501 594360 608400 609165 619125 643890 649776 660400 676000 676850 685800 686816 702000 703924 713232 730080 730998 742950 760500 762000 772668 792480 812220 825500 857250 858520 879905 891540 912600 914400 965835 974664 990600 1014000 1015275 1030224 1055886 1073150 1082960 1114425 1140750 1143000 1159002 1188720 1216800 1218330 1238250 1287780 1299552 1320800 1353700 1371600 1404000 1407848 1426464 1461996 1485900 1521000 1524000 1545336 1583829 1609725 1624440 1651000 1692125 1714500 1717040 1719199 1759810 1783080 1825200 1827495 1857375 1931670 1949328 1981200 2028000 2030550 2060448 2111772 2146300 2165920 2228850 2281500 2286000 2287753 2318004 2377440 2436660 2476500 2575560 2639715 2682875 2707400 2743200 2815696 2897505 2923992 2971800 3042000 3045825 3090672 3167658 3219450 3248880 3302000 3384250 3429000 3434080 3438398 3519620 3566160 3650400 3654990 3714750 3863340 3898656 3962400 4061100 4223544 4292600 4399525 4457700 4563000 4572000 4575506 4636008 4751487 4829175 4873320 4953000 5076375 5151120 5157597 5279430 5365750 5414800 5572125 5631392 5795010 5847984 5943600 6084000 6091650 6181344 6335316 6438900 6497760 6604000 6768500 6858000 6863259 6876796 7039240 7132320 7309980 7429500 7726680 7919145 8048625 8122200 8447088 8585200 8595995 8799050 8915400 9126000 9137475 9151012 9272016 9502974 9658350 9746640 9906000 10152750 10302240 10315194 10558860 10731500 10829600 11144250 11438765 11590020 11695968 11887200 12183300 12670632 12877800 13198575 13537000 13716000 13726518 13753592 14078480 14487525 14619960 14859000 15229125 15453360 15472791 15838290 16097250 16244400 16894176 17170400 17191990 17598100 17830800 18252000 18274950 18302024 18544032 19005948 19316700 19493280 19812000 20305500 20589777 20630388 21117720 21463000 21997625 22288500 22349587 22877530 23180040 23757435 24145875 24366600 25341264 25755600 25787985 26397150 27074000 27453036 27507184 28156960 28975050 29239920 29718000 30458250 30906720 30945582 31676580 32194500 32488800 34316295 34383980 35196200 35661600 36549900 36604048 38011896 38633400 39595725 40611000 41179554 41260776 42235440 42926000 42979975 43995250 44577000 44699174 45687375 45755060 46360080 46418373 47514870 48291750 48733200 50682528 51511200 51575970 52794300 54148000 54906072 55014368 57193825 57950100 58479840 59436000 60916500 61769331 61891164 63353160 64389000 65992875 67048761 68632590 68767960 70392400 72437625 73099800 73208096 76023792 77266800 77363955 79191450 81222000 82359108 82521552 84470880 85852000 85959950 87990500 89154000 89398348 91374750 91510120 92720160 92836746 95029740 96583500 97466400 102948885 103151940 105588600 109812144 111747935 114387650 115900200 118787175 121833000 123538662 123782328 126706320 128778000 128939925 131985750 134097522 137265180 137535920 140784800 144875250 146199600 152047584 154533600 154727910 158382900 162444000 164718216 165043104 171581475 171919900 175981000 178308000 178796696 182749500 183020240 185673492 190059480 193167000 197978625 201146283 205897770 206303880 211177200 214899875 219624288 223495870 228775300 231800400 232091865 237574350 243666000 247077324 247564656 253412640 257556000 257879850 263971500 268195044 274530360 275071840 285969125 289750500 290544631 292399200 308846655 309455820 316765800 329436432 335243805 343162950 343839800 351962000 357593392 365499000 366040480 371346984 380118960 386334000 386819775 395957250 402292566 411795540 412607760 422354400 429799750 446991740 457550600 463600800 464183730 475148700 487332000 494154648 495129312 514744425 515759700 527943000 536390088 549060720 558739675 571938250 579501000 581089262 593935875 603438849 617693310 618911640 633531600 644699625 658872864 670487610 686325900 687679600 703924000 715186784 730998000 742693968 760237920 772668000 773639550 791914500 804585132 823591080 825215520 857907375 859599500 871633893 893983480 915101200 928367460 950297400 988309296 1005731415 1029488850 1031519400 1055886000 1072780176 1098121440 1117479350 1143876500 1159002000 1160459325 1162178524 1187871750 1206877698 1235386620 1237823280 1267063200 1289399250 1340975220 1372651800 1375359200 1452723155 1461996000 1485387936 1544233275 1547279100 1583829000 1609170264 1647182160 1676219025 1715814750 1719199000 1743267786 1787966960 1830202400 1856734920 1900594800 1934098875 1976618592 2011462830 2058977700 2063038800 2111772000 2145560352 2234958700 2287753000 2318004000 2320918650 2324357048 2375743500 2413755396 2470773240 2475646560 2573722125 2578798500 2614901679 2681950440 2745303600 2793698375 2905446310 3017194245 3088466550 3094558200 3167658000 3218340528 3294364320 3352438050 3431629500 3438398000 3486535572 3575933920 3713469840 3801189600 3868197750 4022925660 4117955400 4126077600 4358169465 4469917400 4575506000 4641837300 4648714096 4751487000 4827510792 4941546480 5028657075 5147444250 5157597000 5229803358 5363900880 5490607200 5587396750 5802296625 5810892620 6034388490 6176933100 6189116400 6335316000 6436681056 6704876100 6863259000 6876796000 6973071144 7263615775 7426939680 7721166375 7736395500 7844705037 8045851320 8235910800 8381095125 8716338930 8939834800 9151012000 9283674600 9297428192 9502974000 9655021584 9883092960 10057314150 10294888500 10315194000 10459606716 10727801760 11174793500 11604593250 11621785240 12068776980 12353866200 12378232800 13074508395 13409752200 13726518000 13946142288 14527231550 15085971225 15442332750 15472791000 15689410074 16091702640 16471821600 16762190250 17432677860 17879669600 18567349200 19005948000 19310043168 20114628300 20589777000 20630388000 20919213432 21790847325 22349587000 23209186500 23243570480 24137553960 24707732400 25143285375 26149016790 26819504400 27453036000 27892284576 29054463100 30171942450 30884665500 30945582000 31378820148 32183405280 33524380500 34865355720 36318078875 37134698400 39223525185 40229256600 41179554000 41838426864 43581694650 44699174000 46418373000 46487140960 48275107920 49415464800 50286570750 52298033580 53639008800 58108926200 60343884900 61769331000 61891164000 62757640296 65372541975 67048761000 69730711440 72636157750 75429856125 78447050370 80458513200 82359108000 83676853728 87163389300 89398348000 92836746000 96550215840 100573141500 104596067160 108954236625 116217852400 120687769800 123538662000 125515280592 130745083950 134097522000 139461422880 145272315500 150859712250 156894100740 160917026400 174326778600 185673492000 196117625925 201146283000 209192134320 217908473250 232435704800 241375539600 247077324000 251030561184 261490167900 268195044000 290544631000 301719424500 313788201480 326862709875 348653557200 392235251850 402292566000 418384268640 435816946500 482751079200 522980335800 581089262000 603438849000 627576402960 653725419750 697307114400 784470503700 804585132000 871633893000 980588129625 1045960671600 1162178524000 1206877698000 1255152805920 1307450839500 1568941007400 1743267786000 1961176259250 2091921343200 2413755396000 2614901679000 3137882014800 3486535572000 3922352518500 5229803358000 6275764029600 7844705037000 10459606716000 15689410074000 31378820148000
- Sum of all divisors σ(n): 124663899709440
- Sum of proper divisors (its aliquot sum) s(n): 93285079561440
- 31378820148000 is an abundant number, because the sum of its proper divisors (93285079561440) is greater than itself. Its abundance is 61906259413440
Bases of 31378820148000
- Binary: 1110010001001111100110110110110101011001000002
- Hexadecimal: 0x1C89F36DAB20
- Base-36: B4F8BC7C0
Squares and roots of 31378820148000
- 31378820148000 squared (313788201480002) is 984630353880530741904000000
- 31378820148000 cubed (313788201480003) is 30896538786678768028990623081792000000000
-
The
square root of 31378820148000 is 5601680.1183216451 -
The
cube root of 31378820148000 is 31541.2477693981
Scales and comparisons
How big is 31378820148000?- 31,378,820,148,000 seconds is equal to 997,749 years, 21 weeks, 5 days, 18 hours.
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To count from 1 to 31,378,820,148,000 would take you about two million, four hundred ninety-four thousand, three hundred seventy-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 31378820148000 cubic inches would be around 2628.4 feet tall.
Recreational maths with 31378820148000
- 31378820148000 backwards is 00084102887313
- 31378820148000 is a
Harshad number . - The number of decimal digits it has is: 14
- The sum of 31378820148000's digits is 45
- More coming soon!
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The information we have on file for 31378820148000 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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