40970625138688
40,970,625,138,688 is an even composite number composed of six prime numbers multiplied together.
What does the number 40970625138688 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 1080 divisors.
40970625138688 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one thousand and eighty divisors.
Prime factorization of 40970625138688:
214 × 72 × 172 × 41 × 59 × 73
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 7 × 7 × 17 × 17 × 41 × 59 × 73)See below for interesting mathematical facts about the number 40970625138688 from the Numbermatics database.
Names of 40970625138688
- Cardinal: 40970625138688 can be written as Forty trillion, nine hundred seventy billion, six hundred twenty-five million, one hundred thirty-eight thousand, six hundred eighty-eight.
Scientific notation
- Scientific notation: 4.0970625138688 × 1013
Factors of 40970625138688
Divisors of 40970625138688
- Number of divisors d(n): 1080
-
Complete list of divisors:
1 2 4 7 8 14 16 17 28 32 34 41 49 56 59 64 68 73 82 98 112 118 119 128 136 146 164 196 224 236 238 256 272 287 289 292 328 392 413 448 472 476 511 512 544 574 578 584 656 697 784 826 833 896 944 952 1003 1022 1024 1088 1148 1156 1168 1241 1312 1394 1568 1652 1666 1792 1888 1904 2006 2009 2023 2044 2048 2176 2296 2312 2336 2419 2482 2624 2788 2891 2993 3136 3304 3332 3577 3584 3776 3808 4012 4018 4046 4088 4096 4307 4352 4592 4624 4672 4838 4879 4964 5248 5576 5782 5986 6272 6608 6664 7021 7154 7168 7552 7616 8024 8036 8092 8176 8192 8614 8687 8704 9184 9248 9344 9676 9758 9928 10496 11152 11564 11849 11972 12544 13216 13328 14042 14161 14308 14336 15104 15232 16048 16072 16184 16352 16384 16933 17051 17228 17374 17408 18368 18496 18688 19352 19516 19856 20951 20992 21097 22304 23128 23698 23944 25088 26432 26656 28084 28322 28616 28672 30149 30208 30464 32096 32144 32368 32704 33866 34102 34153 34456 34748 34816 36736 36992 37376 38704 39032 39712 41123 41902 41984 42194 44608 46256 47396 47888 49147 50176 50881 52864 53312 56168 56644 57232 57344 60298 60416 60809 60928 64192 64288 64736 65408 67732 68204 68306 68912 69496 69632 73219 73472 73984 74752 77408 78064 79424 82246 82943 83804 83968 84388 89216 92512 94792 95776 98294 100352 101762 105728 106624 112336 113288 114464 114688 118531 119357 120596 120832 121618 121856 128384 128576 129472 130816 135464 136408 136612 137824 138992 139264 146438 146657 146944 147679 147968 149504 154816 156128 158848 164492 165886 167608 167936 168776 176587 178432 185024 189584 191552 196588 200704 203524 211043 211456 213248 224672 226576 228928 237062 238714 241192 241664 243236 243712 256768 257152 258944 261632 270928 272816 273224 275648 277984 278528 287861 292876 293314 293888 295358 295936 299008 309632 312256 317696 328984 331772 335216 335872 337552 353174 356167 356864 370048 379168 383104 393176 401408 407048 422086 422912 426496 449344 453152 457856 474124 477428 482384 483328 486472 487424 512533 513536 514304 517888 523264 541856 545632 546448 551296 555968 575722 580601 585752 586628 587776 590716 591872 598016 619264 624512 635392 657968 663544 670432 671744 675104 699091 706348 712334 713728 740096 758336 766208 786352 802816 814096 835499 844172 845824 852992 864977 898688 906304 915712 948248 954856 964768 966656 972944 974848 1025066 1027072 1028608 1033753 1035776 1046528 1083712 1091264 1092896 1102592 1111936 1151444 1161202 1171504 1173256 1175552 1181432 1183744 1196032 1236109 1238528 1244723 1249024 1270784 1315936 1327088 1340864 1350208 1398182 1412696 1424668 1427456 1480192 1516672 1532416 1572704 1628192 1670998 1688344 1691648 1705984 1729954 1797376 1812608 1831424 1896496 1909712 1929536 1945888 1949696 2015027 2050132 2054144 2057216 2067506 2071552 2093056 2167424 2182528 2185792 2205184 2223872 2302888 2322404 2343008 2346512 2351104 2362864 2367488 2472218 2477056 2489446 2493169 2498048 2541568 2631872 2654176 2681728 2700416 2796364 2825392 2849336 2854912 2960384 3001979 3033344 3064832 3145408 3256384 3341996 3376688 3383296 3411968 3459908 3587731 3594752 3625216 3662848 3792992 3819424 3859072 3891776 4030054 4100264 4108288 4114432 4135012 4143104 4186112 4334848 4365056 4371584 4410368 4447744 4605776 4644808 4686016 4693024 4702208 4725728 4734976 4893637 4944436 4954112 4978892 4986338 4996096 5083136 5263744 5308352 5363456 5400832 5592728 5650784 5698672 5709824 5920768 6003958 6054839 6066688 6129664 6290816 6512768 6683992 6753376 6766592 6823936 6919816 7175462 7189504 7250432 7325696 7585984 7638848 7718144 7783552 8060108 8200528 8216576 8228864 8270024 8286208 8372224 8652763 8669696 8713061 8730112 8743168 8820736 8895488 9211552 9289616 9372032 9386048 9451456 9787274 9888872 9908224 9957784 9972676 9992192 10166272 10527488 10616704 10726912 10801664 11185456 11301568 11397344 11419648 11841536 12007916 12109678 12133376 12259328 12581632 13025536 13367984 13506752 13647872 13839632 14350924 14379008 14500864 14651392 15171968 15277696 15436288 15567104 16120216 16401056 16433152 16457728 16540048 16572416 17305526 17339392 17426122 17460224 17486336 17641472 17790976 18423104 18579232 18744064 18772096 18902912 19574548 19777744 19816448 19915568 19945352 19984384 20332544 21013853 21054976 21233408 21453824 21603328 22370912 22603136 22794688 23683072 24015832 24219356 24266752 24518656 25163264 26051072 26735968 27013504 27679264 28701848 28758016 29001728 29302784 30343936 30555392 30872576 31134208 32240432 32802112 32915456 33080096 33144832 34255459 34611052 34678784 34852244 34920448 34972672 35282944 35581952 36846208 37158464 37488128 37544192 37805824 39149096 39555488 39632896 39831136 39890704 39968768 42027706 42109952 42383873 42466816 42907648 43206656 44741824 45206272 45589376 47366144 48031664 48438712 48533504 49037312 50326528 51033643 52102144 53471936 54027008 55358528 57403696 57516032 58003456 58605568 60687872 60991427 61110784 61745152 62268416 64480864 65604224 66160192 68510918 69222104 69357568 69704488 69840896 69945344 70565888 71163904 73692416 74316928 74976256 75088384 75611648 78298192 79110976 79662272 79781408 79937536 84055412 84219904 84767746 84933632 85815296 86413312 89483648 90412544 91178752 96063328 96877424 97067008 100653056 102067286 104204288 106943872 108054016 110717056 114807392 115032064 116006912 121375744 121982854 122221568 123490304 124536832 128961728 131208448 132320384 137021836 138444208 138715136 139408976 139681792 139890688 142327808 147096971 147384832 148633856 149952512 150176768 151223296 156596384 158221952 159324544 159562816 168110824 168439808 169535492 169867264 171630592 172826624 178967296 180825088 182357504 192126656 193754848 194134016 201306112 204134572 208408576 213887744 216108032 221434112 229614784 232013824 242751488 243965708 244443136 246980608 249073664 257923456 262416896 264640768 274043672 276888416 277430272 278817952 279363584 279781376 294193942 294769664 297267712 299905024 300353536 302446592 313192768 316443904 318649088 319125632 336221648 336879616 339070984 339734528 343261184 345653248 357235501 357934592 361650176 364715008 384253312 387509696 402612224 408269144 416817152 427775488 432216064 442868224 459229568 485502976 487931416 488886272 493961216 498147328 515846912 524833792 529281536 548087344 553776832 557635904 559562752 588387884 589539328 594535424 599810048 600707072 604893184 626385536 632887808 637298176 638251264 672443296 673759232 678141968 679469056 714471002 715869184 723300352 729430016 768506624 775019392 805224448 816538288 833634304 855550976 864432128 885736448 918459136 971005952 975862832 977772544 996294656 1031693824 1049667584 1058563072 1096174688 1107553664 1115271808 1176775768 1179078656 1189070848 1199620096 1201414144 1209786368 1252771072 1265775616 1274596352 1276502528 1344886592 1356283936 1358938112 1428942004 1431738368 1446600704 1458860032 1537013248 1550038784 1633076576 1711101952 1728864256 1771472896 1836918272 1942011904 1951725664 1955545088 2063387648 2099335168 2117126144 2192349376 2215107328 2230543616 2353551536 2358157312 2378141696 2402828288 2419572736 2500648507 2505542144 2531551232 2549192704 2553005056 2689773184 2712567872 2857884008 2863476736 2893201408 2917720064 3074026496 3100077568 3266153152 3422203904 3457728512 3542945792 3673836544 3903451328 4126775296 4198670336 4234252288 4384698752 4430214656 4461087232 4707103072 4716314624 4756283392 5001297014 5011084288 5063102464 5098385408 5106010112 5379546368 5425135744 5715768016 5726953472 5835440128 6148052992 6200155136 6532306304 6844407808 7085891584 7347673088 7806902656 8253550592 8397340672 8468504576 8769397504 8860429312 8922174464 9414206144 9512566784 10002594028 10022168576 10126204928 10196770816 10212020224 10759092736 10850271488 11431536032 11453906944 12296105984 12400310272 13064612608 13688815616 14171783168 14695346176 15613805312 16507101184 16937009152 17538795008 17720858624 17844348928 18828412288 20005188056 20044337152 20252409856 20393541632 20424040448 21518185472 21700542976 22863072064 24592211968 24800620544 26129225216 29390692352 31227610624 33014202368 35077590016 35441717248 35688697856 37656824576 40010376112 40088674304 40848080896 43036370944 43401085952 45726144128 49184423936 49601241088 52258450432 58781384704 62455221248 70155180032 70883434496 71377395712 75313649152 80020752224 80177348608 86072741888 86802171904 91452288256 99202482176 104516900864 124910442496 140310360064 141766868992 142754791424 150627298304 160041504448 172145483776 173604343808 182904576512 209033801728 249820884992 280620720128 301254596608 320083008896 344290967552 347208687616 365809153024 418067603456 499641769984 561241440256 602509193216 640166017792 694417375232 731618306048 836135206912 999283539968 1205018386432 1280332035584 1463236612096 2410036772864 2560664071168 2926473224192 5121328142336 5852946448384 10242656284672 20485312569344 40970625138688
- Sum of all divisors σ(n): 106925717409840
- Sum of proper divisors (its aliquot sum) s(n): 65955092271152
- 40970625138688 is an abundant number, because the sum of its proper divisors (65955092271152) is greater than itself. Its abundance is 24984467132464
Bases of 40970625138688
- Binary: 10010101000011001101111000111011000000000000002
- Hexadecimal: 0x2543378EC000
- Base-36: EITN8DL34
Squares and roots of 40970625138688
- 40970625138688 squared (409706251386882) is 1678592124254893099234361344
- 40970625138688 cubed (409706251386883) is 68772968683601214112481419886135106076672
-
The
square root of 40970625138688 is 6400830.0351351309 -
The
cube root of 40970625138688 is 34473.9354035721
Scales and comparisons
How big is 40970625138688?- 40,970,625,138,688 seconds is equal to 1,302,739 years, 7 weeks, 5 days, 5 hours, 11 minutes, 28 seconds.
-
To count from 1 to 40,970,625,138,688 would take you about three million, two hundred fifty-six thousand, eight hundred forty-seven 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 40970625138688 cubic inches would be around 2872.8 feet tall.
Recreational maths with 40970625138688
- 40970625138688 backwards is 88683152607904
- The number of decimal digits it has is: 14
- The sum of 40970625138688's digits is 67
- More coming soon!
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The information we have on file for 40970625138688 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!
Keywords: Divisors of 40970625138688, math, Factors of 40970625138688, curriculum, school, college, exams, university, Prime factorization of 40970625138688, STEM, science, technology, engineering, physics, economics, calculator, forty trillion, nine hundred seventy billion, six hundred twenty-five million, one hundred thirty-eight thousand, six hundred eighty-eight.