107006148644864
107,006,148,644,864 is an even composite number composed of five prime numbers multiplied together.
107006148644864 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of nine hundred thirty-six divisors.
Prime factorization of 107006148644864:
212 × 73 × 192 × 47 × 672
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 7 × 7 × 7 × 19 × 19 × 47 × 67 × 67)See below for interesting mathematical facts about the number 107006148644864 from the Numbermatics database.
Names of 107006148644864
- Cardinal: 107006148644864 can be written as One hundred seven trillion, six billion, one hundred forty-eight million, six hundred forty-four thousand, eight hundred sixty-four.
Scientific notation
- Scientific notation: 1.07006148644864 × 1014
Factors of 107006148644864
Divisors of 107006148644864
- Number of divisors d(n): 936
-
Complete list of divisors:
1 2 4 7 8 14 16 19 28 32 38 47 49 56 64 67 76 94 98 112 128 133 134 152 188 196 224 256 266 268 304 329 343 361 376 392 448 469 512 532 536 608 658 686 722 752 784 893 896 931 938 1024 1064 1072 1216 1273 1316 1372 1444 1504 1568 1786 1792 1862 1876 2048 2128 2144 2303 2432 2527 2546 2632 2744 2888 3008 3136 3149 3283 3572 3584 3724 3752 4096 4256 4288 4489 4606 4864 5054 5092 5264 5488 5776 6016 6251 6272 6298 6517 6566 7144 7168 7448 7504 8512 8576 8911 8978 9212 9728 10108 10184 10528 10976 11552 12032 12502 12544 12596 13034 13132 14288 14336 14896 15008 16121 16967 17024 17152 17689 17822 17956 18424 19456 20216 20368 21056 21952 22043 22981 23104 24064 24187 25004 25088 25192 26068 26264 28576 28672 29792 30016 31423 32242 33934 34048 34304 35378 35644 35912 36848 38912 40432 40736 42112 43757 43904 44086 45962 46208 48128 48374 50008 50176 50384 52136 52528 57152 59584 59831 60032 62377 62846 64484 67868 68096 68608 70756 71288 71824 73696 77824 80864 81472 84224 85291 87514 87808 88172 91924 92416 96256 96748 100016 100352 100768 104272 105056 114304 118769 119168 119662 120064 123823 124754 125692 128968 135736 136192 137216 141512 142576 143648 147392 154301 161728 162944 168448 169309 170582 175028 175616 176344 183848 184832 192512 193496 200032 200704 201536 208544 210112 210983 219961 228608 237538 238336 239324 240128 247646 249508 251384 257936 271472 272384 274432 283024 285152 287296 294784 306299 308602 323456 325888 336896 338618 341164 350056 351232 352688 367696 369664 386992 400064 403072 417088 418817 420224 421966 436639 439922 457216 475076 476672 478648 480256 495292 499016 502768 515872 542944 544768 566048 570304 574592 589568 597037 612598 617204 646912 651776 673792 677236 682328 700112 702464 705376 735392 739328 773984 800128 806144 831383 834176 837634 840448 843932 873278 879844 914432 950152 953344 957296 960512 990584 998032 1005536 1031744 1080107 1085888 1132096 1136789 1140608 1149184 1179136 1185163 1194074 1225196 1234408 1293824 1303552 1347584 1354472 1364656 1400224 1404928 1410752 1470784 1476881 1478656 1539727 1547968 1600256 1612288 1620529 1662766 1668352 1675268 1680896 1687864 1746556 1759688 1828864 1900304 1906688 1914592 1921024 1981168 1996064 2011072 2063488 2160214 2171776 2264192 2273578 2281216 2298368 2358272 2370326 2388148 2450392 2468816 2587648 2607104 2708944 2729312 2800448 2821504 2931719 2941568 2953762 3079454 3095936 3200512 3224576 3241058 3325532 3336704 3350536 3361792 3375728 3493112 3519376 3657728 3800608 3813376 3829184 3962336 3992128 4008677 4022144 4126976 4179259 4320428 4343552 4528384 4547156 4562432 4596736 4716544 4740652 4776296 4900784 4937632 5175296 5214208 5417888 5458624 5600896 5643008 5819681 5863438 5883136 5907524 6158908 6191872 6401024 6449152 6482116 6651064 6673408 6701072 6723584 6751456 6986224 7038752 7601216 7658368 7924672 7957523 7984256 8017354 8044288 8253952 8296141 8358518 8640856 8687104 9056768 9094312 9124864 9193472 9433088 9481304 9552592 9801568 9875264 10338167 10350592 10835776 10917248 11201792 11286016 11343703 11639362 11726876 11766272 11815048 12317816 12383744 12802048 12898304 12964232 13302128 13346816 13402144 13447168 13502912 13972448 14077504 15202432 15316736 15849344 15915046 15968512 16034708 16088576 16507904 16592282 16717036 17281712 17374208 18113536 18188624 18249728 18386944 18962608 19105184 19603136 19750528 20522033 20676334 21671552 21834496 22403584 22572032 22687406 23278724 23453752 23532544 23630096 24635632 24767488 25604096 25928464 26604256 26693632 26804288 27005824 27944896 28060739 28155008 29254813 30404864 30633472 31698688 31830092 31937024 32069416 32177152 33015808 33184564 33434072 34563424 34748416 36227072 36377248 36499456 37925216 38210368 39206272 39501056 41044066 41352668 43343104 43668992 44807168 45144064 45374812 46557448 46907504 47065088 47260192 49271264 49534976 51856928 53208512 53608576 54011648 55702661 55889792 56121478 56310016 58509626 60809728 61266944 63397376 63660184 63874048 64138832 64354304 66031616 66369128 66868144 69126848 69496832 72367169 72454144 72754496 75850432 76164863 76420736 78412544 79002112 79405921 82088132 82705336 86686208 87337984 89614336 90288128 90749624 93114896 93815008 94130176 94520384 98542528 99069952 103713856 106417024 107217152 108023296 111405322 111779584 112242956 112620032 117019252 121619456 122533888 126794752 127320368 127748096 128277664 128708608 132738256 133736288 138253696 144734338 145508992 151700864 152329726 152841472 156825088 158004224 158811842 164176264 165410672 173372416 174675968 179228672 181499248 186229792 187630016 189040768 196425173 197085056 207427712 212834048 214434304 216046592 222810644 223559168 224485912 225240064 234038504 243238912 245067776 253589504 254640736 255496192 256555328 265476512 267472576 276507392 289468676 291017984 303401728 304659452 305682944 313650176 316008448 317623684 328352528 330821344 346744832 349351936 362998496 372459584 375260032 378081536 389918627 392850346 394170112 414855424 425668096 428868608 432093184 445621288 447118336 448971824 450480128 468077008 486477824 507179008 509281472 513110656 530953024 533154041 534945152 553014784 555841447 578937352 582035968 606803456 609318904 611365888 627300352 632016896 635247368 656705056 661642688 693489664 725996992 744919168 750520064 756163072 779837254 785700692 788340224 829710848 851336192 857737216 864186368 891242576 894236672 897943648 900960256 936154016 1018562944 1026221312 1061906048 1066308082 1069890304 1106029568 1111682894 1157874704 1164071936 1213606912 1218637808 1222731776 1254600704 1270494736 1313410112 1323285376 1374976211 1451993984 1489838336 1501040128 1512326144 1559674508 1571401384 1576680448 1659421696 1702672384 1715474432 1782485152 1788473344 1795887296 1872308032 2037125888 2052442624 2123812096 2132616164 2139780608 2212059136 2223365788 2315749408 2328143872 2427213824 2437275616 2445463552 2540989472 2626820224 2646570752 2749952422 2903987968 2979676672 3002080256 3024652288 3119349016 3142802768 3153360896 3318843392 3405344768 3564970304 3591774592 3732078287 3744616064 4074251776 4104885248 4247624192 4265232328 4279561216 4424118272 4446731576 4631498816 4656287744 4854427648 4874551232 5081978944 5253640448 5293141504 5499904844 5807975936 5959353344 6004160512 6049304576 6238698032 6285605536 6306721792 6637686784 7129940608 7183549184 7464156574 7489232128 8148503552 8209770496 8495248384 8530464656 8559122432 8893463152 9262997632 9749102464 10163957888 10507280896 10586283008 10999809688 11615951872 11918706688 12008321024 12477396064 12571211072 14259881216 14367098368 14928313148 14978464256 16297007104 16419540992 16990496768 17060929312 17118244864 17786926304 18525995264 19498204928 20327915776 21014561792 21172566016 21999619376 23231903744 23837413376 24954792128 25142422144 26124548009 28519762432 28734196736 29856626296 29956928512 32594014208 33980993536 34121858624 35573852608 37051990528 38996409856 40655831552 42029123584 42345132032 43999238752 46463807488 49909584256 50284844288 52249096018 57039524864 57468393472 59713252592 59913857024 68243717248 71147705216 74103981056 77992819712 81311663104 84058247168 87998477504 99819168512 100569688576 104498192036 114079049728 114936786944 119426505184 119827714048 136487434496 142295410432 148207962112 155985639424 162623326208 175996955008 199638337024 201139377152 208996384072 228158099456 238853010368 272974868992 284590820864 296415924224 311971278848 325246652416 351993910016 399276674048 402278754304 417992768144 477706020736 545949737984 569181641728 703987820032 798553348096 804557508608 835985536288 955412041472 1091899475968 1138363283456 1407975640064 1597106696192 1671971072576 1910824082944 2183798951936 2276726566912 2815951280128 3343942145152 3821648165888 5631902560256 6687884290304 7643296331776 13375768580608 15286592663552 26751537161216 53503074322432 107006148644864
- Sum of all divisors σ(n): 273049986182400
- Sum of proper divisors (its aliquot sum) s(n): 166043837537536
- 107006148644864 is an abundant number, because the sum of its proper divisors (166043837537536) is greater than itself. Its abundance is 59037688892672
Bases of 107006148644864
- Binary: 110000101010010010011110111101010010000000000002
- Hexadecimal: 0x61524F7A9000
- Base-36: 11XHY233SW
Squares and roots of 107006148644864
- 107006148644864 squared (1070061486448642) is 11450315847806729663593578496
- 107006148644864 cubed (1070061486448643) is 1225254199641048868658523590176202811244544
-
The
square root of 107006148644864 is 10344377.6344864749 -
The
cube root of 107006148644864 is 47475.5033273753
Scales and comparisons
How big is 107006148644864?- 107,006,148,644,864 seconds is equal to 3,402,464 years, 27 weeks, 5 days, 19 hours, 7 minutes, 44 seconds.
-
To count from 1 to 107,006,148,644,864 would take you about eight million, five hundred six thousand, one hundred sixty-one 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 107006148644864 cubic inches would be around 3956.3 feet tall.
Recreational maths with 107006148644864
- 107006148644864 backwards is 468446841600701
- The number of decimal digits it has is: 15
- The sum of 107006148644864's digits is 59
- More coming soon!
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The information we have on file for 107006148644864 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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