106688149137920
106,688,149,137,920 is an even composite number composed of seven prime numbers multiplied together.
106688149137920 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 106688149137920:
29 × 5 × 72 × 73 × 79 × 139 × 1061
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 7 × 7 × 73 × 79 × 139 × 1061)See below for interesting mathematical facts about the number 106688149137920 from the Numbermatics database.
Names of 106688149137920
- Cardinal: 106688149137920 can be written as One hundred six trillion, six hundred eighty-eight billion, one hundred forty-nine million, one hundred thirty-seven thousand, nine hundred twenty.
Scientific notation
- Scientific notation: 1.0668814913792 × 1014
Factors of 106688149137920
Divisors of 106688149137920
- Number of divisors d(n): 960
-
Complete list of divisors:
1 2 4 5 7 8 10 14 16 20 28 32 35 40 49 56 64 70 73 79 80 98 112 128 139 140 146 158 160 196 224 245 256 278 280 292 316 320 365 392 395 448 490 511 512 553 556 560 584 632 640 695 730 784 790 896 973 980 1022 1061 1106 1112 1120 1168 1264 1280 1390 1460 1568 1580 1792 1946 1960 2044 2122 2212 2224 2240 2336 2528 2555 2560 2765 2780 2920 3136 3160 3577 3584 3871 3892 3920 4088 4244 4424 4448 4480 4672 4865 5056 5110 5305 5530 5560 5767 5840 6272 6320 6811 7154 7427 7742 7784 7840 8176 8488 8848 8896 8960 9344 9730 10112 10147 10220 10610 10981 11060 11120 11534 11680 12544 12640 13622 14308 14854 15484 15568 15680 16352 16976 17696 17792 17885 17920 18688 19355 19460 20224 20294 20440 21220 21962 22120 22240 23068 23360 25088 25280 27244 28616 28835 29708 30968 31136 31360 32704 33952 34055 35392 35584 35770 37135 37376 38710 38920 40369 40448 40588 40880 42440 43924 44240 44480 46136 46720 50560 50735 51989 54488 54905 57232 57670 59416 61936 62272 62720 65408 67904 68110 70784 71029 71168 71540 74270 76867 77420 77453 77840 80738 81176 81760 83819 84880 87848 88480 88960 92272 93440 101120 101470 103978 108976 109810 114464 115340 118832 123872 124544 125440 130816 135808 136220 141568 142058 143080 147479 148540 153734 154840 154906 155680 161476 162352 163520 167638 169760 175696 176960 177920 184544 186880 201845 202240 202940 207956 217952 219620 228928 230680 237664 247744 249088 259945 261632 271616 272440 282583 283136 284116 286160 294958 297080 307468 309680 309812 311360 322952 324704 327040 335276 339520 351392 353920 355145 355840 369088 384335 387265 403690 405880 415912 419095 435904 439240 457856 461360 475328 495488 497203 498176 519890 538069 542171 543232 544880 565166 568232 572320 586733 589916 594160 614936 619360 619624 622720 645904 649408 654080 670552 679040 702784 707840 710290 737395 738176 768670 774530 801613 807380 811760 831824 838190 871808 878480 915712 922720 950656 990976 994406 1032353 1039780 1076138 1084342 1089760 1130332 1136464 1144640 1173466 1179832 1188320 1229872 1238720 1239248 1245440 1291808 1298816 1308160 1341104 1358080 1405568 1412915 1415680 1420580 1474790 1476352 1537340 1549060 1603226 1614760 1623520 1663648 1676380 1743616 1756960 1831424 1845440 1901312 1981952 1988812 2064706 2079560 2152276 2168684 2179520 2260664 2272928 2289280 2346932 2359664 2376640 2459744 2477440 2478496 2486015 2490880 2583616 2597632 2682208 2690345 2710855 2716160 2811136 2825830 2841160 2933665 2949580 2952704 3074680 3098120 3206452 3229520 3247040 3327296 3352760 3487232 3513920 3690880 3795197 3802624 3977624 4008065 4107131 4129412 4159120 4304552 4337368 4359040 4521328 4545856 4578560 4693864 4719328 4753280 4919488 4954880 4956992 4972030 5161765 5167232 5195264 5364416 5380690 5421710 5611291 5622272 5651660 5682320 5867330 5899160 6118787 6149360 6196240 6412904 6459040 6494080 6654592 6705520 7027840 7226471 7381760 7590394 7955248 8016130 8214262 8258824 8318240 8609104 8674736 8718080 9042656 9091712 9157120 9387728 9438656 9506560 9838976 9909760 9913984 9944060 10323530 10334464 10728832 10761380 10765967 10843420 11222582 11303320 11364640 11650841 11734660 11798320 12237574 12298720 12392480 12825808 12918080 12988160 13309184 13411040 14055680 14452942 14763520 15180788 15910496 16032260 16428524 16517648 16636480 17218208 17349472 17436160 18085312 18183424 18775456 18877312 18975985 19013120 19677952 19827968 19888120 20535655 20647060 20668928 21457664 21522760 21531934 21686840 22445164 22606640 22729280 23301682 23469320 23596640 24475148 24597440 24784960 25651616 25836160 25976320 26618368 26822080 28056455 28111360 28905884 30361576 30593935 31820992 32064520 32857048 33035296 33272960 34436416 34698944 36132355 36170624 36366848 37550912 37754624 37951970 39279037 39355904 39655936 39776240 41071310 41294120 42831509 42915328 43045520 43063868 43373680 44890328 45213280 45458560 46603364 46938640 47193280 48950296 49194880 49569920 51303232 51672320 53644160 53829835 56112910 57811768 58254205 60723152 61187870 63641984 64129040 65714096 66070592 66545920 68872832 69397888 72264710 72341248 75101824 75361769 75509248 75903940 78558074 79552480 81555887 82142620 82588240 85663018 86091040 86127736 86747360 89780656 90426560 90917120 93206728 93877280 94386560 97900592 98389760 99139840 102606464 103344640 107288320 107659670 112225820 115623536 116508410 121446304 122375740 127283968 128258080 131428192 132141184 133091840 137745664 138795776 144529420 144682496 150203648 150723538 151807880 157116148 159104960 163111774 164285240 165176480 171326036 172182080 172255472 173494720 179561312 180853120 181834240 186413456 187754560 188773120 195801184 196395185 196779520 198279680 205212928 214157545 214576640 215319340 224451640 231247072 233016820 242892608 244751480 254567936 256516160 262856384 264282368 275491328 277591552 289058840 299820563 300407296 301447076 303615760 314232296 318209920 326223548 328570480 330352960 342652072 344364160 344510944 346989440 359122624 361706240 372826912 375509120 376808845 377546240 391602368 392790370 407779435 410425856 428315090 430638680 448903280 462494144 466033640 485785216 489502960 513032320 525712768 527532383 528564736 570891209 578117680 599641126 602894152 607231520 628464592 636419840 652447096 657140960 660705920 685304144 688728320 689021888 693978880 718245248 723412480 745653824 751018240 753617690 783204736 785580740 815558870 850511393 856630180 861277360 897806560 924988288 932067280 971570432 979005920 1026064640 1051425536 1055064766 1141782418 1156235360 1199282252 1205788304 1214463040 1256929184 1272839680 1304894192 1314281920 1321411840 1370608288 1377456640 1378043776 1387957760 1436490496 1491307648 1499102815 1502036480 1507235380 1566409472 1571161480 1631117740 1701022786 1713260360 1722554720 1795613120 1849976576 1864134560 1943140864 1958011840 2052129280 2102851072 2110129532 2283564836 2312470720 2398564504 2411576608 2428926080 2513858368 2609788384 2628563840 2637661915 2642823680 2741216576 2756087552 2854456045 2872980992 2982615296 2998205630 3014470760 3132818944 3142322960 3262235480 3402045572 3426520720 3445109440 3591226240 3699953152 3728269120 3916023680 4220259064 4252556965 4567129672 4624941440 4797129008 4823153216 4857852160 5027716736 5219576768 5257127680 5275323830 5482433152 5512175104 5708912090 5953579751 5965230592 5996411260 6028941520 6284645920 6524470960 6804091144 6853041440 6890218880 7182452480 7456538240 7832047360 8440518128 8505113930 9134259344 9249882880 9594258016 9646306432 9715704320 10055433472 10439153536 10514255360 10550647660 10964866304 11417824180 11907159502 11992822520 12057883040 12569291840 13048941920 13608182288 13706082880 13780437760 14364904960 14913076480 15664094720 16881036256 17010227860 18268518688 18499765760 19188516032 19292612864 20110866944 20878307072 21101295320 21929732608 22835648360 23814319004 23985645040 24115766080 25138583680 26097883840 27216364576 27412165760 27560875520 29767898755 29826152960 33762072512 34020455720 36537037376 38377032064 38585225728 41675058257 41756614144 42202590640 45671296720 47628638008 47971290080 48231532160 50277167360 52195767680 54432729152 54824331520 59535797510 67524145024 68040911440 73074074752 76754064128 83350116514 84405181280 91342593440 95257276016 95942580160 96463064320 100554334720 104391535360 108865458304 109648663040 119071595020 135048290048 136081822880 146148149504 153508128256 166700233028 168810362560 182685186880 190514552032 191885160320 192926128640 208375291285 208783070720 217730916608 238143190040 270096580096 272163645760 292296299008 333400466056 337620725120 365370373760 381029104064 383770320640 416750582570 435461833216 476286380080 544327291520 666800932112 675241450240 730740747520 762058208128 767540641280 833501165140 952572760160 1088654583040 1333601864224 1350482900480 1461481495040 1524116416256 1667002330280 1905145520320 2177309166080 2667203728448 3048232832512 3334004660560 3810291040640 5334407456896 6668009321120 7620582081280 10668814913792 13336018642240 15241164162560 21337629827584 26672037284480 53344074568960 106688149137920
- Sum of all divisors σ(n): 307947015129600
- Sum of proper divisors (its aliquot sum) s(n): 201258865991680
- 106688149137920 is an abundant number, because the sum of its proper divisors (201258865991680) is greater than itself. Its abundance is 94570716853760
Bases of 106688149137920
- Binary: 110000100001000010001010011101100101010000000002
- Hexadecimal: 0x6108453B2A00
- Base-36: 11TFUXE1VK
Squares and roots of 106688149137920
- 106688149137920 squared (1066881491379202) is 11382361166475060039181926400
- 106688149137920 cubed (1066881491379203) is 1214363045670560262324427482474204889088000
-
The
square root of 106688149137920 is 10328995.5531948993 -
The
cube root of 106688149137920 is 47428.4276319121
Scales and comparisons
How big is 106688149137920?- 106,688,149,137,920 seconds is equal to 3,392,353 years, 6 weeks, 6 days, 22 hours, 45 minutes, 20 seconds.
-
To count from 1 to 106,688,149,137,920 would take you about eight million, four hundred eighty thousand, eight hundred eighty-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 106688149137920 cubic inches would be around 3952.4 feet tall.
Recreational maths with 106688149137920
- 106688149137920 backwards is 029731941886601
- The number of decimal digits it has is: 15
- The sum of 106688149137920's digits is 65
- More coming soon!
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The information we have on file for 106688149137920 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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