107132166438752
107,132,166,438,752 is an even composite number composed of six prime numbers multiplied together.
What does the number 107132166438752 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 864 divisors.
107132166438752 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of eight hundred sixty-four divisors.
Prime factorization of 107132166438752:
25 × 73 × 132 × 17 × 149 × 1512
(2 × 2 × 2 × 2 × 2 × 7 × 7 × 7 × 13 × 13 × 17 × 149 × 151 × 151)See below for interesting mathematical facts about the number 107132166438752 from the Numbermatics database.
Names of 107132166438752
- Cardinal: 107132166438752 can be written as One hundred seven trillion, one hundred thirty-two billion, one hundred sixty-six million, four hundred thirty-eight thousand, seven hundred fifty-two.
Scientific notation
- Scientific notation: 1.07132166438752 × 1014
Factors of 107132166438752
Divisors of 107132166438752
- Number of divisors d(n): 864
-
Complete list of divisors:
1 2 4 7 8 13 14 16 17 26 28 32 34 49 52 56 68 91 98 104 112 119 136 149 151 169 182 196 208 221 224 238 272 298 302 338 343 364 392 416 442 476 544 596 604 637 676 686 728 784 833 884 952 1043 1057 1183 1192 1208 1274 1352 1372 1456 1547 1568 1666 1768 1904 1937 1963 2086 2114 2366 2384 2416 2533 2548 2567 2704 2744 2873 2912 3094 3332 3536 3808 3874 3926 4172 4228 4459 4732 4768 4832 5066 5096 5134 5408 5488 5746 5831 6188 6664 7072 7301 7399 7748 7852 8281 8344 8456 8918 9464 10132 10192 10268 10829 10976 11492 11662 12376 13328 13559 13741 14602 14798 15496 15704 16562 16688 16912 17731 17836 17969 18928 20111 20264 20384 20536 21658 22499 22801 22984 23324 24752 25181 25519 26656 27118 27482 29204 29596 30992 31408 32929 33124 33371 33376 33824 35462 35672 35938 37856 40222 40528 41072 43316 44998 45602 45968 46648 49504 50362 51038 51107 51793 54236 54964 57967 58408 59192 61984 62816 65858 66248 66742 70924 71344 71876 75803 80444 81056 82144 86632 89996 91204 91936 93296 94913 96187 100724 102076 102214 103586 108472 109928 115934 116816 118384 124117 125783 131716 132496 133484 140777 141848 142688 143752 151606 157493 159607 160888 173264 176267 178633 179992 182408 186592 189826 192374 201448 204152 204428 207172 216944 219856 230503 231868 233597 233632 236768 248234 251566 263432 264992 266968 281554 283696 287504 292487 296413 303212 314986 319214 321776 346528 352534 357266 359984 364816 379652 382483 384748 387617 402896 408304 408856 414344 428077 433823 433888 439712 461006 463736 467194 496468 503132 526864 533936 563108 567392 575008 584974 592826 606424 629972 638428 643552 664391 673309 705068 714532 719968 729632 759304 764966 769496 775234 805792 816608 817712 828688 856154 867646 868819 880481 922012 927472 934388 985439 992936 1006264 1053728 1067872 1102451 1117249 1126216 1169948 1185652 1212848 1233869 1250431 1259944 1276856 1328782 1346618 1410136 1429064 1518608 1529932 1538992 1550468 1613521 1635179 1635424 1657376 1712308 1735292 1737638 1760962 1844024 1854944 1868776 1970878 1985872 2012528 2047409 2074891 2204902 2234498 2252432 2339896 2371304 2425696 2467738 2500862 2519888 2553712 2657564 2677381 2693236 2713319 2820272 2858128 2996539 3036761 3037216 3059864 3077984 3100936 3227042 3270358 3397349 3424616 3470584 3475276 3521924 3688048 3737552 3802331 3853369 3941756 3971744 4025056 4094818 4149782 4409804 4468996 4504864 4679792 4742608 4935476 4972279 5001724 5039021 5039776 5107424 5315128 5354762 5386472 5426638 5640544 5716256 5993078 6073522 6119728 6201872 6454084 6540716 6794698 6849232 6941168 6950552 7043848 7376096 7475104 7604662 7706738 7717157 7820743 7883512 8189636 8299564 8637083 8753017 8819608 8937992 9359584 9485216 9870952 9944558 10003448 10078042 10630256 10709524 10772944 10853276 11294647 11446253 11986156 12147044 12239456 12403744 12908168 13081432 13589396 13698464 13882336 13901104 14087696 14331863 14524237 15209324 15413476 15434314 15641486 15767024 16379272 16599128 17274166 17506034 17639216 17875984 18741667 18993233 19741904 19889116 20006896 20156084 20975773 21257327 21260512 21419048 21545888 21706552 22589294 22892506 23781443 23972312 24294088 25816336 26162864 26616317 26973583 27178792 27802208 28175392 28663726 29048474 30418648 30826952 30868628 31282972 31534048 32758544 33198256 34548332 34805953 35012068 35273147 35278432 35751968 37483334 37986466 39483808 39778232 40013792 40312168 41951546 42514654 42838096 43413104 44165537 45178588 45785012 47562886 47944624 48588176 51632672 52325728 53232634 53947166 54357584 57327452 57754933 58096948 60837296 61653904 61737256 62565944 64639627 65507273 65517088 66396512 69096664 69611906 70024136 70546294 74966668 75972932 79556464 80624336 83903092 85029308 85676192 86826208 88331074 90357176 91570024 95125772 95889248 97176352 100323041 101669659 106465268 107894332 108715168 114654904 115509866 116193896 121674592 123307808 123474512 125131888 129279254 131014546 131191669 132952631 138193328 139223812 140048272 141092588 146830411 148801289 149933336 151945864 159112928 161248672 166470101 167806184 170058616 176662148 180714352 183140048 186314219 188815081 190251544 200646082 203339318 212930536 215788664 229309808 231019732 232387792 243641671 246912029 246949024 250263776 258558508 262029092 262383338 265905262 276386656 278447624 280096544 282185176 293660822 297602578 299866672 303891728 309158759 332940202 335612368 340117232 353324296 361428704 366280096 372628438 377630162 380503088 401292164 404284531 406678636 425861072 431577328 452477389 458550911 458619616 462039464 464775584 487283342 493824058 517117016 524058184 524766676 531810524 556895248 564370352 574151981 587321644 595205156 599733344 607783456 618317518 665880404 671224736 680234464 706648592 745256876 750814129 755260324 761006176 802584328 808569062 813357272 851722144 863154656 904954778 917101822 924078928 974566684 987648116 1034234032 1048116368 1049533352 1063621048 1113790496 1128740704 1148303962 1165290707 1174643288 1190410312 1236635036 1304199533 1321705567 1331760808 1413297184 1490513752 1501628258 1510520648 1605168656 1617138124 1626714544 1705491697 1728384203 1809909556 1834203644 1848157856 1949133368 1975296232 2068468064 2096232736 2099066704 2127242096 2164111313 2296607924 2330581414 2349286576 2380820624 2473270072 2608399066 2643411134 2663521616 2829991717 2981027504 3003256516 3021041296 3167341723 3209856377 3210337312 3234276248 3253429088 3410983394 3456768406 3619819112 3668407288 3898266736 3950592464 4019063867 4198133408 4254484192 4328222626 4593215848 4661162828 4698573152 4761641248 4946540144 5216798132 5255698903 5286822268 5327043232 5659983434 5962055008 6006513032 6042082592 6334683446 6419712754 6468552496 6821966788 6913536812 7239638224 7336814576 7796533472 7901184928 8038127734 8656445252 9186431696 9322325656 9760583677 9893080288 10433596264 10511397806 10573644536 11319966868 12013026064 12669366892 12839425508 12937104992 13643933576 13827073624 14479276448 14673629152 15148779191 16076255468 17312890504 18372863392 18644651312 19521167354 19809942019 20867192528 21022795612 21147289072 22171392061 22468994639 22639933736 24026052128 25338733784 25678851016 27287867152 27654147248 28133447069 30297558382 32152510936 34625781008 36789892321 37289302624 39042334708 39619884038 41734385056 42045591224 42294578144 44342784122 44937989278 45279867472 50677467568 51357702032 54575734304 55308294496 56266894138 60595116764 64305021872 68324085739 69251562016 73579784642 78084669416 79239768076 84091182448 88685568244 89875978556 90559734944 101354935136 102715404064 112533788276 121190233528 128610043744 136648171478 147159569284 156169338832 158479536152 168182364896 177371136488 179751957112 196934129483 225067576552 242380467056 257529246247 273296342956 294319138568 312338677664 316959072304 354742272976 359503914224 393868258966 450135153104 478268600173 484760934112 515058492494 546592685912 588638277136 633918144608 709484545952 719007828448 787736517932 900270306208 956537200346 1030116984988 1093185371824 1177276554272 1575473035864 1913074400692 2060233969976 2186370743648 3150946071728 3347880201211 3826148801384 4120467939952 6301892143456 6695760402422 7652297602768 8240935879904 13391520804844 15304595205536 26783041609688 53566083219376 107132166438752
- Sum of all divisors σ(n): 285795147960000
- Sum of proper divisors (its aliquot sum) s(n): 178662981521248
- 107132166438752 is an abundant number, because the sum of its proper divisors (178662981521248) is greater than itself. Its abundance is 71530815082496
Bases of 107132166438752
- Binary: 110000101101111101001101011100101111111011000002
- Hexadecimal: 0x616FA6B97F60
- Base-36: 11Z3U5TRVK
Squares and roots of 107132166438752
- 107132166438752 squared (1071321664387522) is 11477301085860460386167317504
- 107132166438752 cubed (1071321664387523) is 1229588130198071900950749877964916553515008
-
The
square root of 107132166438752 is 10350466.9671832681 -
The
cube root of 107132166438752 is 47494.1328212099
Scales and comparisons
How big is 107132166438752?- 107,132,166,438,752 seconds is equal to 3,406,471 years, 26 weeks, 4 days, 1 hour, 52 minutes, 32 seconds.
-
To count from 1 to 107,132,166,438,752 would take you about eight million, five hundred sixteen thousand, one hundred seventy-eight 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 107132166438752 cubic inches would be around 3957.8 feet tall.
Recreational maths with 107132166438752
- 107132166438752 backwards is 257834661231701
- 107132166438752 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 107132166438752's digits is 56
- More coming soon!
Link to this page
HTML: To link to this page, just copy and paste the link below into your blog, web page or email.
BBCODE: To link to this page in a forum post or comment box, just copy and paste the link code below:
Cite this page
MLA style:
"Number 107132166438752 - Facts about the integer". Numbermatics.com. 2024. Web. 28 May 2024.
APA style:
Numbermatics. (2024). Number 107132166438752 - Facts about the integer. Retrieved 28 May 2024, from https://numbermatics.com/n/107132166438752/
Chicago style:
Numbermatics. 2024. "Number 107132166438752 - Facts about the integer". https://numbermatics.com/n/107132166438752/
The information we have on file for 107132166438752 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 107132166438752, math, Factors of 107132166438752, curriculum, school, college, exams, university, Prime factorization of 107132166438752, STEM, science, technology, engineering, physics, economics, calculator, one hundred seven trillion, one hundred thirty-two billion, one hundred sixty-six million, four hundred thirty-eight thousand, seven hundred fifty-two.