106400130670080
106,400,130,670,080 is an even composite number composed of seven prime numbers multiplied together.
106400130670080 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 106400130670080:
29 × 32 × 5 × 13 × 31 × 1399 × 8191
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 13 × 31 × 1399 × 8191)See below for interesting mathematical facts about the number 106400130670080 from the Numbermatics database.
Names of 106400130670080
- Cardinal: 106400130670080 can be written as One hundred six trillion, four hundred billion, one hundred thirty million, six hundred seventy thousand and eighty.
Scientific notation
- Scientific notation: 1.0640013067008 × 1014
Factors of 106400130670080
Divisors of 106400130670080
- Number of divisors d(n): 960
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 13 15 16 18 20 24 26 30 31 32 36 39 40 45 48 52 60 62 64 65 72 78 80 90 93 96 104 117 120 124 128 130 144 155 156 160 180 186 192 195 208 234 240 248 256 260 279 288 310 312 320 360 372 384 390 403 416 465 468 480 496 512 520 558 576 585 620 624 640 720 744 768 780 806 832 930 936 960 992 1040 1116 1152 1170 1209 1240 1248 1280 1395 1399 1440 1488 1536 1560 1612 1664 1860 1872 1920 1984 2015 2080 2232 2304 2340 2418 2480 2496 2560 2790 2798 2880 2976 3120 3224 3328 3627 3720 3744 3840 3968 4030 4160 4197 4464 4608 4680 4836 4960 4992 5580 5596 5760 5952 6045 6240 6448 6656 6995 7254 7440 7488 7680 7936 8060 8191 8320 8394 8928 9360 9672 9920 9984 11160 11192 11520 11904 12090 12480 12591 12896 13990 14508 14880 14976 15872 16120 16382 16640 16788 17856 18135 18187 18720 19344 19840 19968 20985 22320 22384 23040 23808 24180 24573 24960 25182 25792 27980 29016 29760 29952 32240 32764 33280 33576 35712 36270 36374 37440 38688 39680 40955 41970 43369 44640 44768 47616 48360 49146 49920 50364 51584 54561 55960 58032 59520 59904 62955 64480 65528 67152 71424 72540 72748 73719 74880 77376 79360 81910 83940 86738 89280 89536 90935 96720 98292 99840 100728 103168 106483 109122 111920 116064 119040 122865 125910 128960 130107 131056 134304 142848 145080 145496 147438 149760 154752 163683 163820 167880 173476 178560 179072 181870 193440 196584 201456 206336 212966 216845 218244 223840 232128 238080 245730 251820 253921 257920 260214 262112 268608 272805 290160 290992 294876 299520 309504 319449 327366 327640 335760 346952 357120 358144 363740 368595 386880 390321 393168 402912 425932 433690 436488 447680 464256 491460 503640 507842 515840 520428 524224 532415 537216 545610 563797 580320 581984 589752 619008 638898 650535 654732 655280 671520 693904 714240 716288 727480 737190 761763 773760 780642 786336 805824 818415 851864 867380 872976 895360 928512 958347 982920 1007280 1015684 1031680 1040856 1048448 1064830 1074432 1091220 1127594 1160640 1163968 1179504 1269605 1277796 1301070 1309464 1310560 1343040 1387808 1454960 1474380 1523526 1547520 1561284 1572672 1597245 1611648 1636830 1691391 1703728 1734760 1745952 1790720 1857024 1916694 1951605 1965840 2014560 2031368 2081712 2096896 2129660 2148864 2182440 2255188 2285289 2321280 2327936 2359008 2539210 2555592 2602140 2618928 2621120 2686080 2775616 2818985 2909920 2948760 3047052 3095040 3122568 3145344 3194490 3223296 3273660 3300973 3382782 3407456 3469520 3491904 3581440 3808815 3833388 3903210 3931680 4029120 4062736 4163424 4193792 4259320 4364880 4510376 4570578 4642560 4655872 4718016 4791735 5074173 5078420 5111184 5204280 5237856 5242240 5372160 5551232 5637970 5819840 5897520 6094104 6245136 6290688 6388980 6446592 6547320 6601946 6765564 6814912 6939040 6983808 7617630 7666776 7806420 7863360 8058240 8125472 8326848 8456955 8518640 8729760 9020752 9141156 9285120 9311744 9436032 9583470 9902919 10148346 10156840 10222368 10408560 10475712 10484480 10744320 11102464 11275940 11426445 11459209 11639680 11795040 12188208 12490272 12581376 12777960 13094640 13203892 13531128 13629824 13878080 13967616 15235260 15333552 15612840 15726720 16116480 16250944 16504865 16653696 16913910 17037280 17459520 18041504 18282312 18872064 19166940 19805838 20296692 20313680 20444736 20817120 20951424 20968960 22204928 22551880 22852890 22918418 23279360 23590080 24376416 24980544 25370865 25555920 26189280 26407784 27062256 27259648 27756160 27935232 29708757 30470520 30667104 31225680 31453440 32232960 32501888 33009730 33307392 33827820 34074560 34377627 34919040 36083008 36564624 37744128 38333880 39611676 40593384 40627360 40889472 41634240 41902848 45103760 45705780 45836836 46558720 47180160 48752832 49514595 49961088 50741730 51111840 52378560 52815568 54124512 54519296 55512320 57296045 59417514 60941040 61334208 62451360 62906880 65003776 66019460 66614784 67655640 68149120 68755254 69838080 72166016 73129248 76667760 79223352 81186768 81254720 81778944 83268480 83805696 90207520 91411560 91673672 94360320 97505664 99029190 99922176 101483460 102223680 103132881 104757120 105631136 108249024 111024640 114592090 118835028 121882080 122668416 124902720 130007552 132038920 135311280 136298240 137510508 139676160 144332032 146258496 148543785 148969717 153335520 158446704 162373536 162509440 163557888 166536960 171888135 180415040 182823120 183347344 188720640 195011328 198058380 199844352 202966920 204447360 206265762 209514240 211262272 216498048 229184180 237670056 243764160 245336832 249805440 264077840 270622560 272596480 275021016 288664064 292516992 297087570 297939434 306671040 316893408 324747072 325018880 333073920 343776270 355235479 360830080 365646240 366694688 390022656 396116760 405933840 408894720 412531524 419028480 422524544 432996096 446909151 458368360 475340112 487528320 490673664 499610880 515664405 528155680 541245120 550042032 585033984 594175140 595878868 613342080 633786816 649494144 650037760 687552540 710470958 721660160 731292480 733389376 744848585 792233520 811867680 817789440 825063048 845049088 865992192 893818302 916736720 950680224 975056640 999221760 1031328810 1056311360 1065706437 1082490240 1100084064 1170067968 1188350280 1191757736 1226684160 1267573632 1298988288 1340727453 1375105080 1420941916 1443320320 1462584960 1466778752 1489697170 1584467040 1623735360 1650126096 1690098176 1776177395 1787636604 1833473440 1901360448 1950113280 2062657620 2112622720 2131412874 2164980480 2200168128 2234545755 2376700560 2383515472 2453368320 2535147264 2597976576 2681454906 2750210160 2841883832 2925169920 2933557504 2979394340 3168934080 3197119311 3247470720 3300252192 3552354790 3575273208 3666946880 3802720896 4125315240 4225245440 4262825748 4329960960 4400336256 4469091510 4618061227 4753401120 4767030944 5070294528 5328532185 5362909812 5500420320 5683767664 5850339840 5867115008 5958788680 6337868160 6394238622 6494941440 6600504384 6703637265 7104709580 7150546416 7333893760 7605441792 8250630480 8450490880 8525651496 8800672512 8938183020 9236122454 9506802240 9534061888 10657064370 10725819624 11000840640 11367535328 11917577360 12675736320 12788477244 12989882880 13201008768 13407274530 13854183681 14209419160 14301092832 14667787520 15210883584 15985596555 16501260960 17051302992 17601345024 17876366040 18472244908 19013604480 19068123776 21314128740 21451639248 22001681280 22735070656 23090306135 23835154720 25351472640 25576954488 26402017536 26814549060 27708367362 28418838320 28602185664 29335575040 31971193110 33002521920 34102605984 35752732080 36944489816 38027208960 38136247552 41562551043 42628257480 42903278496 44003362560 45470141312 46180612270 47670309440 51153908976 52804035072 53629098120 55416734724 56837676640 57204371328 63942386220 66005043840 68205211968 69270918405 71505464160 73888979632 76054417920 76272495104 83125102086 85256514960 85806556992 88006725120 90940282624 92361224540 95340618880 102307817952 107258196240 110833469448 113675353280 114408742656 127884772440 132010087680 136410423936 138541836810 143010928320 147777959264 166250204172 170513029920 171613113984 181880565248 184722449080 190681237760 204615635904 207812755215 214516392480 221666938896 227350706560 228817485312 255769544880 264020175360 272820847872 277083673620 286021856640 295555918528 332500408344 341026059840 343226227968 369444898160 381362475520 409231271808 415625510430 429032784960 443333877792 454701413120 511539089760 545641695744 554167347240 572043713280 591111837056 665000816688 682052119680 686452455936 738889796320 818462543616 831251020860 858065569920 886667755584 909402826240 1023078179520 1108334694480 1144087426560 1182223674112 1330001633376 1364104239360 1477779592640 1636925087232 1662502041720 1716131139840 1773335511168 2046156359040 2216669388960 2364447348224 2660003266752 2728208478720 2955559185280 3325004083440 3432262279680 3546671022336 4092312718080 4433338777920 5320006533504 5911118370560 6650008166880 7093342044672 8184625436160 8866677555840 10640013067008 11822236741120 13300016333760 17733355111680 21280026134016 26600032667520 35466710223360 53200065335040 106400130670080
- Sum of all divisors σ(n): 409983359385600
- Sum of proper divisors (its aliquot sum) s(n): 303583228715520
- 106400130670080 is an abundant number, because the sum of its proper divisors (303583228715520) is greater than itself. Its abundance is 197183098045440
Bases of 106400130670080
- Binary: 110000011000101001101011111111000011110000000002
- Hexadecimal: 0x60C535FE1E00
- Base-36: 11PRJMMPS0
Squares and roots of 106400130670080
- 106400130670080 squared (1064001306700802) is 11320987806610098669807206400
- 106400130670080 cubed (1064001306700803) is 1204554581937696867233608752561244864512000
-
The
square root of 106400130670080 is 10315043.9005406079 -
The
cube root of 106400130670080 is 47385.7094412851
Scales and comparisons
How big is 106400130670080?- 106,400,130,670,080 seconds is equal to 3,383,195 years, 1 week, 6 days, 20 hours, 48 minutes.
-
To count from 1 to 106,400,130,670,080 would take you about eight million, four hundred fifty-seven thousand, nine hundred eighty-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 106400130670080 cubic inches would be around 3948.8 feet tall.
Recreational maths with 106400130670080
- 106400130670080 backwards is 080076031004601
- 106400130670080 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 106400130670080's digits is 36
- More coming soon!
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The information we have on file for 106400130670080 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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