107972671832064
107,972,671,832,064 is an even composite number composed of five prime numbers multiplied together.
What does the number 107972671832064 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 1104 divisors.
107972671832064 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one thousand, one hundred four divisors.
Prime factorization of 107972671832064:
222 × 35 × 13 × 29 × 281
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 13 × 29 × 281)See below for interesting mathematical facts about the number 107972671832064 from the Numbermatics database.
Names of 107972671832064
- Cardinal: 107972671832064 can be written as One hundred seven trillion, nine hundred seventy-two billion, six hundred seventy-one million, eight hundred thirty-two thousand and sixty-four.
Scientific notation
- Scientific notation: 1.07972671832064 × 1014
Factors of 107972671832064
Divisors of 107972671832064
- Number of divisors d(n): 1104
-
Complete list of divisors:
1 2 3 4 6 8 9 12 13 16 18 24 26 27 29 32 36 39 48 52 54 58 64 72 78 81 87 96 104 108 116 117 128 144 156 162 174 192 208 216 232 234 243 256 261 281 288 312 324 348 351 377 384 416 432 464 468 486 512 522 562 576 624 648 696 702 754 768 783 832 843 864 928 936 972 1024 1044 1053 1124 1131 1152 1248 1296 1392 1404 1508 1536 1566 1664 1686 1728 1856 1872 1944 2048 2088 2106 2248 2262 2304 2349 2496 2529 2592 2784 2808 3016 3072 3132 3159 3328 3372 3393 3456 3653 3712 3744 3888 4096 4176 4212 4496 4524 4608 4698 4992 5058 5184 5568 5616 6032 6144 6264 6318 6656 6744 6786 6912 7047 7306 7424 7488 7587 7776 8149 8192 8352 8424 8992 9048 9216 9396 9984 10116 10179 10368 10959 11136 11232 12064 12288 12528 12636 13312 13488 13572 13824 14094 14612 14848 14976 15174 15552 16298 16384 16704 16848 17984 18096 18432 18792 19968 20232 20358 20736 21918 22272 22464 22761 24128 24447 24576 25056 25272 26624 26976 27144 27648 28188 29224 29696 29952 30348 30537 31104 32596 32768 32877 33408 33696 35968 36192 36864 37584 39936 40464 40716 41472 43836 44544 44928 45522 48256 48894 49152 50112 50544 53248 53952 54288 55296 56376 58448 59392 59904 60696 61074 62208 65192 65536 65754 66816 67392 68283 71936 72384 73341 73728 75168 79872 80928 81432 82944 87672 89088 89856 91044 91611 96512 97788 98304 98631 100224 101088 105937 106496 107904 108576 110592 112752 116896 118784 119808 121392 122148 124416 130384 131072 131508 133632 134784 136566 143872 144768 146682 147456 150336 159744 161856 162864 165888 175344 178176 179712 182088 183222 193024 195576 196608 197262 200448 202176 211874 212992 215808 217152 220023 221184 225504 233792 237568 239616 242784 244296 248832 260768 262144 263016 267264 269568 273132 287744 289536 293364 294912 295893 300672 317811 319488 323712 325728 331776 350688 356352 359424 364176 366444 386048 391152 393216 394524 400896 404352 423748 425984 431616 434304 440046 442368 451008 467584 475136 479232 485568 488592 497664 521536 524288 526032 534528 539136 546264 575488 579072 586728 589824 591786 601344 635622 638976 647424 651456 660069 663552 701376 712704 718848 728352 732888 772096 782304 786432 789048 801792 808704 847496 851968 863232 868608 880092 884736 887679 902016 935168 950272 953433 958464 971136 977184 995328 1043072 1048576 1052064 1069056 1078272 1092528 1150976 1158144 1173456 1179648 1183572 1202688 1271244 1277952 1294848 1302912 1320138 1327104 1402752 1425408 1437696 1456704 1465776 1544192 1564608 1572864 1578096 1603584 1617408 1694992 1703936 1726464 1737216 1760184 1769472 1775358 1804032 1870336 1900544 1906866 1916928 1942272 1954368 1980207 1990656 2086144 2097152 2104128 2138112 2156544 2185056 2301952 2316288 2346912 2359296 2367144 2405376 2542488 2555904 2589696 2605824 2640276 2654208 2805504 2850816 2860299 2875392 2913408 2931552 3088384 3129216 3145728 3156192 3207168 3234816 3389984 3407872 3452928 3474432 3520368 3538944 3550716 3608064 3740672 3801088 3813732 3833856 3884544 3908736 3960414 3981312 4172288 4194304 4208256 4276224 4313088 4370112 4603904 4632576 4693824 4718592 4734288 4810752 5084976 5111808 5179392 5211648 5280552 5308416 5611008 5701632 5720598 5750784 5826816 5863104 6176768 6258432 6291456 6312384 6414336 6469632 6779968 6815744 6905856 6948864 7040736 7077888 7101432 7216128 7481344 7602176 7627464 7667712 7769088 7817472 7920828 7962624 8344576 8416512 8552448 8580897 8626176 8740224 9207808 9265152 9387648 9437184 9468576 9621504 10169952 10223616 10358784 10423296 10561104 10616832 11222016 11403264 11441196 11501568 11653632 11726208 12353536 12516864 12582912 12624768 12828672 12939264 13559936 13631488 13811712 13897728 14081472 14155776 14202864 14432256 14962688 15204352 15254928 15335424 15538176 15634944 15841656 15925248 16689152 16833024 17104896 17161794 17252352 17480448 18415616 18530304 18775296 18874368 18937152 19243008 20339904 20447232 20717568 20846592 21122208 21233664 22444032 22806528 22882392 23003136 23307264 23452416 24707072 25033728 25249536 25657344 25742691 25878528 27119872 27262976 27623424 27795456 28162944 28311552 28405728 28864512 29925376 30408704 30509856 30670848 31076352 31269888 31683312 31850496 33378304 33666048 34209792 34323588 34504704 34960896 36831232 37060608 37550592 37748736 37874304 38486016 40679808 40894464 41435136 41693184 42244416 42467328 44888064 45613056 45764784 46006272 46614528 46904832 49414144 50067456 50499072 51314688 51485382 51757056 54239744 54525952 55246848 55590912 56325888 56623104 56811456 57729024 59850752 60817408 61019712 61341696 62152704 62539776 63366624 63700992 66756608 67332096 68419584 68647176 69009408 69921792 73662464 74121216 75101184 75748608 76972032 81359616 81788928 82870272 83386368 84488832 84934656 89776128 91226112 91529568 92012544 93229056 93809664 98828288 100134912 100998144 102629376 102970764 103514112 108479488 110493696 111181824 112651776 113246208 113622912 115458048 119701504 121634816 122039424 122683392 124305408 125079552 126733248 127401984 133513216 134664192 136839168 137294352 138018816 139843584 147324928 148242432 150202368 151497216 153944064 162719232 163577856 165740544 166772736 168977664 169869312 179552256 182452224 183059136 184025088 186458112 187619328 197656576 200269824 201996288 205258752 205941528 207028224 216958976 220987392 222363648 225303552 227245824 230916096 239403008 244078848 245366784 248610816 250159104 253466496 254803968 267026432 269328384 273678336 274588704 276037632 279687168 294649856 296484864 300404736 302994432 307888128 325438464 331481088 333545472 337955328 339738624 359104512 364904448 366118272 368050176 372916224 375238656 395313152 400539648 403992576 410517504 411883056 414056448 433917952 441974784 444727296 450607104 454491648 461832192 478806016 488157696 490733568 497221632 500318208 506932992 509607936 534052864 538656768 547356672 549177408 552075264 559374336 589299712 592969728 600809472 605988864 615776256 650876928 662962176 667090944 675910656 718209024 732236544 736100352 745832448 750477312 790626304 801079296 807985152 821035008 823766112 828112896 867835904 883949568 889454592 901214208 908983296 923664384 957612032 976315392 994443264 1000636416 1013865984 1019215872 1068105728 1077313536 1094713344 1098354816 1104150528 1118748672 1178599424 1185939456 1201618944 1211977728 1231552512 1301753856 1325924352 1334181888 1351821312 1436418048 1464473088 1472200704 1491664896 1500954624 1581252608 1602158592 1615970304 1642070016 1647532224 1656225792 1735671808 1767899136 1778909184 1802428416 1817966592 1847328768 1915224064 1952630784 1988886528 2001272832 2027731968 2136211456 2154627072 2196709632 2208301056 2237497344 2371878912 2403237888 2423955456 2463105024 2603507712 2651848704 2668363776 2703642624 2872836096 2928946176 2983329792 3001909248 3204317184 3231940608 3284140032 3295064448 3312451584 3471343616 3535798272 3557818368 3604856832 3635933184 3694657536 3830448128 3905261568 3977773056 4002545664 4055463936 4272422912 4309254144 4393419264 4416602112 4474994688 4743757824 4806475776 4847910912 4926210048 5207015424 5303697408 5336727552 5407285248 5745672192 5857892352 5966659584 6003818496 6408634368 6463881216 6590128896 6624903168 6942687232 7115636736 7209713664 7271866368 7389315072 7660896256 7810523136 7955546112 8005091328 8110927872 8544845824 8618508288 8786838528 8949989376 9612951552 9695821824 9852420096 10414030848 10607394816 10673455104 10814570496 11491344384 11715784704 11933319168 12007636992 12817268736 12927762432 13180257792 13249806336 13885374464 14231273472 14419427328 14543732736 14778630144 15321792512 15621046272 15911092224 16010182656 16221855744 17089691648 17237016576 17573677056 17899978752 19225903104 19391643648 20828061696 21346910208 21629140992 22982688768 23431569408 23866638336 24015273984 25634537472 25855524864 26360515584 27770748928 28838854656 29087465472 29557260288 31242092544 31822184448 32020365312 32443711488 34179383296 34474033152 35147354112 35799957504 38451806208 38783287296 41656123392 42693820416 43258281984 45965377536 46863138816 47733276672 48030547968 51269074944 51711049728 52721031168 55541497856 57677709312 58174930944 62484185088 64040730624 64887422976 68948066304 70294708224 71599915008 76903612416 77566574592 83312246784 86516563968 93726277632 95466553344 96061095936 102538149888 103422099456 105442062336 111082995712 115355418624 116349861888 124968370176 128081461248 129774845952 137896132608 140589416448 143199830016 153807224832 155133149184 166624493568 173033127936 187452555264 192122191872 206844198912 210884124672 222165991424 230710837248 232699723776 249936740352 259549691904 281178832896 286399660032 307614449664 310266298368 333248987136 346066255872 374905110528 384244383744 413688397824 421768249344 444331982848 461421674496 465399447552 499873480704 519099383808 562357665792 620532596736 666497974272 692132511744 749810221056 843536498688 922843348992 930798895104 999746961408 1038198767616 1124715331584 1241065193472 1332995948544 1384265023488 1499620442112 1687072997376 1861597790208 1999493922816 2076397535232 2249430663168 2768530046976 2999240884224 3374145994752 3723195580416 3998987845632 4152795070464 4498861326336 5998481768448 6748291989504 8305590140928 8997722652672 11996963536896 13496583979008 17995445305344 26993167958016 35990890610688 53986335916032 107972671832064
- Sum of all divisors σ(n): 361650967161120
- Sum of proper divisors (its aliquot sum) s(n): 253678295329056
- 107972671832064 is an abundant number, because the sum of its proper divisors (253678295329056) is greater than itself. Its abundance is 145705623496992
Bases of 107972671832064
- Binary: 110001000110011010110001100000000000000000000002
- Hexadecimal: 0x623358C00000
- Base-36: 129TYL1C00
Squares and roots of 107972671832064
- 107972671832064 squared (1079726718320642) is 11658097862554586738218500096
- 107972671832064 cubed (1079726718320643) is 1258755974699693153335248896727914479878144
-
The
square root of 107972671832064 is 10390989.9351343805 -
The
cube root of 107972671832064 is 47618.0144829307
Scales and comparisons
How big is 107972671832064?- 107,972,671,832,064 seconds is equal to 3,433,196 years, 51 weeks, 18 hours, 14 minutes, 24 seconds.
-
To count from 1 to 107,972,671,832,064 would take you about eight million, five hundred eighty-two thousand, nine hundred ninety-two 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 107972671832064 cubic inches would be around 3968.2 feet tall.
Recreational maths with 107972671832064
- 107972671832064 backwards is 460238176279701
- The number of decimal digits it has is: 15
- The sum of 107972671832064's digits is 63
- More coming soon!
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The information we have on file for 107972671832064 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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