31442175019008
31,442,175,019,008 is an even composite number composed of six prime numbers multiplied together.
31442175019008 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of seven hundred sixty-eight divisors.
Prime factorization of 31442175019008:
211 × 33 × 13 × 103 × 271 × 1567
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 13 × 103 × 271 × 1567)See below for interesting mathematical facts about the number 31442175019008 from the Numbermatics database.
Names of 31442175019008
- Cardinal: 31442175019008 can be written as Thirty-one trillion, four hundred forty-two billion, one hundred seventy-five million, nineteen thousand and eight.
Scientific notation
- Scientific notation: 3.1442175019008 × 1013
Factors of 31442175019008
Divisors of 31442175019008
- Number of divisors d(n): 768
-
Complete list of divisors:
1 2 3 4 6 8 9 12 13 16 18 24 26 27 32 36 39 48 52 54 64 72 78 96 103 104 108 117 128 144 156 192 206 208 216 234 256 271 288 309 312 351 384 412 416 432 468 512 542 576 618 624 702 768 813 824 832 864 927 936 1024 1084 1152 1236 1248 1339 1404 1536 1567 1626 1648 1664 1728 1854 1872 2048 2168 2304 2439 2472 2496 2678 2781 2808 3072 3134 3252 3296 3328 3456 3523 3708 3744 4017 4336 4608 4701 4878 4944 4992 5356 5562 5616 6144 6268 6504 6592 6656 6912 7046 7317 7416 7488 8034 8672 9216 9402 9756 9888 9984 10569 10712 11124 11232 12051 12536 13008 13184 13312 13824 14092 14103 14634 14832 14976 16068 17344 18432 18804 19512 19776 19968 20371 21138 21424 22248 22464 24102 25072 26016 26368 26624 27648 27913 28184 28206 29268 29664 29952 31707 32136 34688 36153 37608 39024 39552 39936 40742 42276 42309 42848 44496 44928 48204 50144 52032 52736 55296 55826 56368 56412 58536 59328 59904 61113 63414 64272 69376 72306 75216 78048 79104 79872 81484 83739 84552 84618 85696 88992 89856 95121 96408 100288 104064 105472 111652 112736 112824 117072 118656 119808 122226 126828 128544 138752 144612 150432 156096 158208 161401 162968 167478 169104 169236 171392 177984 179712 183339 190242 192816 200576 208128 210944 223304 225472 225648 234144 237312 239616 244452 251217 253656 257088 277504 289224 300864 312192 316416 322802 325936 334956 338208 338472 342784 355968 359424 362869 366678 380484 385632 401152 416256 424657 446608 450944 451296 468288 474624 484203 488904 502434 507312 514176 550017 555008 578448 601728 624384 632832 645604 651872 669912 676416 676944 685568 711936 718848 725738 733356 753651 760968 771264 802304 832512 849314 893216 901888 902592 936576 949248 968406 977808 1004868 1014624 1028352 1088607 1100034 1156896 1203456 1248768 1273971 1291208 1303744 1339824 1352832 1353888 1371136 1423872 1451476 1452609 1466712 1507302 1521936 1542528 1604608 1665024 1698628 1786432 1803776 1805184 1873152 1898496 1936812 1955616 2009736 2029248 2056704 2098213 2177214 2200068 2313792 2406912 2497536 2547942 2582416 2607488 2679648 2705664 2707776 2742272 2847744 2902952 2905218 2933424 3014604 3043872 3085056 3209216 3265821 3397256 3572864 3607552 3610368 3746304 3821913 3873624 3911232 4019472 4058496 4113408 4196426 4354428 4357827 4400136 4627584 4813824 4995072 5095884 5164832 5214976 5359296 5411328 5415552 5520541 5695488 5805904 5810436 5866848 6029208 6087744 6170112 6294639 6531642 6794512 7145728 7215104 7220736 7492608 7643826 7747248 7822464 8038944 8116992 8226816 8392852 8708856 8715654 8800272 9255168 9627648 9797463 10191768 10329664 10429952 10718592 10822656 10831104 11041082 11465739 11611808 11620872 11733696 12058416 12175488 12340224 12589278 13063284 13589024 14291456 14441472 14985216 15287652 15494496 15644928 16077888 16233984 16561623 16785704 17417712 17431308 17600544 18510336 18883917 19594926 20383536 20659328 20859904 21437184 21645312 21662208 22082164 22931478 23223616 23241744 23467392 24116832 24350976 24680448 25178556 26126568 27178048 28582912 28882944 30575304 30988992 31289856 32155776 32467968 33123246 33571408 34835424 34862616 35201088 37020672 37767834 39189852 40767072 41318656 41719808 42874368 43324416 43739671 44164328 45862956 46447232 46483488 46934784 48233664 48701952 49684869 50357112 52253136 54356096 56651751 57165824 61150608 61977984 62579712 64311552 64935936 66246492 67142816 69670848 69725232 70402176 74041344 75535668 78379704 81534144 82637312 85748736 86648832 87479342 88328656 91725912 92894464 92966976 93869568 96467328 97403904 99369738 100714224 104506272 108712192 113303502 122301216 123955968 125159424 128623104 131219013 132492984 134285632 139341696 139450464 140804352 149054607 151071336 156759408 163068288 165274624 171497472 174958684 176657312 183451824 185788928 185933952 187739136 192934656 194807808 198739476 201428448 209012544 217424384 226607004 244602432 247911936 257246208 262438026 264985968 268571264 278683392 278900928 281608704 298109214 302142672 313518816 326136576 330549248 349917368 353314624 366903648 371577856 371867904 375478272 385869312 393657039 397478952 402856896 418025088 434848768 453214008 489204864 495823872 514492416 524876052 529971936 537142528 557366784 557801856 563217408 568615723 596218428 604285344 627037632 652273152 699834736 706629248 733807296 743155712 743735808 771738624 787314078 794957904 805713792 836050176 869697536 906428016 978409728 991647744 1049752104 1059943872 1074285056 1114733568 1115603712 1126434816 1137231446 1180971117 1192436856 1208570688 1254075264 1304546304 1399669472 1413258496 1467614592 1487471616 1543477248 1574628156 1589915808 1611427584 1672100352 1705847169 1812856032 1956819456 2099504208 2119887744 2148570112 2229467136 2231207424 2274462892 2361942234 2384873712 2417141376 2508150528 2609092608 2799338944 2826516992 2935229184 2974943232 3149256312 3179831616 3222855168 3344200704 3411694338 3625712064 3913638912 4199008416 4239775488 4297140224 4462414848 4548925784 4723884468 4769747424 4834282752 5016301056 5117541507 5598677888 5653033984 5870458368 6298512624 6359663232 6445710336 6688401408 6823388676 7251424128 7827277824 8398016832 8479550976 8924829696 9097851568 9447768936 9539494848 9668565504 10032602112 10235083014 11197355776 11306067968 11740916736 12597025248 12719326464 12891420672 13646777352 14502848256 15352624521 16796033664 16959101952 18195703136 18895537872 19078989696 19337131008 20065204224 20470166028 22394711552 23481833472 25194050496 25438652928 27293554704 29005696512 30705249042 33592067328 33918203904 36391406272 37791075744 38157979392 38674262016 40940332056 44789423104 50388100992 50877305856 54587109408 58011393024 61410498084 67184134656 72782812544 75582151488 76315958784 81880664112 89578846208 100776201984 101754611712 109174218816 116022786048 122820996168 134368269312 145565625088 151164302976 152631917568 163761328224 201552403968 218348437632 245641992336 268736538624 291131250176 302328605952 305263835136 327522656448 403104807936 436696875264 491283984672 582262500352 604657211904 655045312896 806209615872 873393750528 982567969344 1164525000704 1209314423808 1310090625792 1746787501056 1965135938688 2418628847616 2620181251584 3493575002112 3930271877376 5240362503168 7860543754752 10480725006336 15721087509504 31442175019008
- Sum of all divisors σ(n): 101716225228800
- Sum of proper divisors (its aliquot sum) s(n): 70274050209792
- 31442175019008 is an abundant number, because the sum of its proper divisors (70274050209792) is greater than itself. Its abundance is 38831875190784
Bases of 31442175019008
- Binary: 1110010011000101100111010110001001000000000002
- Hexadecimal: 0x1C98B3AC4800
- Base-36: B58C36YO0
Squares and roots of 31442175019008
- 31442175019008 squared (314421750190082) is 988610369925930725161304064
- 31442175019008 cubed (314421750190083) is 31084060276817356809950716832365267648512
-
The
square root of 31442175019008 is 5607332.2550931473 -
The
cube root of 31442175019008 is 31562.4611048973
Scales and comparisons
How big is 31442175019008?- 31,442,175,019,008 seconds is equal to 999,763 years, 47 weeks, 1 day, 17 hours, 16 minutes, 48 seconds.
-
To count from 1 to 31,442,175,019,008 would take you about two million, four hundred ninety-nine thousand, four hundred 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 31442175019008 cubic inches would be around 2630.2 feet tall.
Recreational maths with 31442175019008
- 31442175019008 backwards is 80091057124413
- The number of decimal digits it has is: 14
- The sum of 31442175019008's digits is 45
- More coming soon!
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