106427825868672
106,427,825,868,672 is an even composite number composed of six prime numbers multiplied together.
106427825868672 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one thousand, seven hundred twenty-eight divisors.
Prime factorization of 106427825868672:
27 × 32 × 7 × 112 × 173 × 1492
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 7 × 11 × 11 × 17 × 17 × 17 × 149 × 149)See below for interesting mathematical facts about the number 106427825868672 from the Numbermatics database.
Names of 106427825868672
- Cardinal: 106427825868672 can be written as One hundred six trillion, four hundred twenty-seven billion, eight hundred twenty-five million, eight hundred sixty-eight thousand, six hundred seventy-two.
Scientific notation
- Scientific notation: 1.06427825868672 × 1014
Factors of 106427825868672
Divisors of 106427825868672
- Number of divisors d(n): 1728
-
Complete list of divisors:
1 2 3 4 6 7 8 9 11 12 14 16 17 18 21 22 24 28 32 33 34 36 42 44 48 51 56 63 64 66 68 72 77 84 88 96 99 102 112 119 121 126 128 132 136 144 149 153 154 168 176 187 192 198 204 224 231 238 242 252 264 272 288 289 298 306 308 336 352 357 363 374 384 396 408 447 448 462 476 484 504 528 544 561 576 578 596 612 616 672 693 704 714 726 748 792 816 847 867 894 896 924 952 968 1008 1043 1056 1071 1088 1089 1122 1152 1156 1192 1224 1232 1309 1341 1344 1386 1408 1428 1452 1496 1584 1632 1639 1683 1694 1734 1788 1848 1904 1936 2016 2023 2057 2086 2112 2142 2176 2178 2244 2312 2384 2448 2464 2533 2541 2601 2618 2682 2688 2772 2856 2904 2992 3129 3168 3179 3264 3278 3366 3388 3468 3576 3696 3808 3872 3927 4032 4046 4114 4172 4224 4284 4356 4488 4624 4768 4896 4913 4917 4928 5066 5082 5202 5236 5364 5544 5712 5808 5984 6069 6171 6258 6336 6358 6528 6556 6732 6776 6936 7152 7392 7599 7616 7623 7744 7854 8064 8092 8228 8344 8568 8712 8976 9248 9387 9536 9537 9792 9826 9834 9856 10132 10164 10404 10472 10728 11088 11424 11473 11616 11781 11968 12138 12342 12516 12672 12716 13112 13464 13552 13872 14304 14399 14739 14751 14784 15198 15232 15246 15488 15708 16184 16456 16688 17136 17424 17731 17952 18029 18207 18496 18513 18774 19072 19074 19584 19652 19668 20264 20328 20808 20944 21456 22176 22201 22253 22797 22848 22946 23232 23562 23936 24276 24684 25032 25432 26224 26928 27104 27744 27863 28608 28611 28798 29478 29502 29568 30396 30492 31416 32368 32912 33376 34272 34391 34419 34848 34969 35462 35904 36058 36414 36992 37026 37548 38148 39304 39336 40528 40656 41616 41888 42912 43061 43197 44217 44352 44402 44506 45594 45696 45892 46464 47124 48552 49368 50064 50864 52448 53193 53856 54043 54087 54208 55488 55726 57216 57222 57596 58956 59004 60792 60984 62832 64736 65824 66603 66752 66759 68544 68782 68838 69696 69938 70924 71808 72116 72828 74052 75096 76296 78608 78672 81056 81312 83232 83589 83776 85824 86122 86394 88434 88704 88804 89012 91188 91784 94248 97104 98736 100128 101728 103173 103257 104896 104907 106386 107712 108086 108174 108416 110976 111452 114444 115192 117912 118008 121584 121968 125664 126203 129183 129472 129591 131648 133206 133504 133518 137088 137564 137676 139392 139876 141848 144232 145656 148104 150192 152592 155407 157216 157344 159579 162112 162129 162261 162624 166464 167178 167552 171648 172244 172788 176868 177608 178024 182376 183568 188496 194208 195041 197472 199809 200256 200277 203456 206346 206514 209792 209814 212772 215424 216172 216348 222904 228888 230384 235824 236016 243168 243936 244211 244783 250767 251328 252406 258366 258944 259182 263296 266412 267036 275128 275352 279752 283696 288464 291312 296208 300384 301427 305184 306493 309519 310814 314432 314688 314721 319158 324224 324258 324522 325248 332928 334356 344488 345576 353736 355216 356048 364752 367136 376992 377417 378301 378609 387549 388416 390082 394944 399618 400512 400554 406912 412692 413028 419628 425544 432344 432696 445808 457776 460768 466221 471648 472032 473671 486336 486387 487872 488422 489566 501534 502656 504812 516732 518364 532824 534072 550256 550704 559504 567392 576928 582624 585123 592416 594473 600768 602854 610368 612986 619038 621628 628864 629376 629442 638316 648516 649044 668712 688976 691152 707472 710432 712096 729504 732037 732633 734272 734349 753984 754834 756602 757218 775098 776832 780164 789888 799236 801108 825384 826056 839256 851088 864688 865392 891616 904281 915552 919479 921536 932442 943296 944064 947342 972672 972774 975744 976844 979132 1003068 1009624 1033464 1036728 1065648 1068144 1100512 1101408 1119008 1132251 1134784 1134903 1135827 1153856 1165248 1170246 1184832 1188946 1201536 1205708 1220736 1225972 1238076 1243256 1258884 1276632 1297032 1298088 1337424 1377952 1382304 1398663 1414944 1420864 1421013 1424192 1459008 1464074 1465266 1468544 1468698 1507968 1509668 1513204 1514436 1550196 1560328 1598472 1602216 1650768 1652112 1678512 1702176 1709477 1729376 1730784 1755369 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46850368 46888512 46893429 46998336 47554542 48309376 48314442 48353778 48422528 48461952 49606272 49819044 49935732 51328712 51490824 52706664 53051152 54348048 54475344 54703264 56171808 56366849 56412741 57069408 57744801 57873984 58122218 58846656 59676288 59682546 60629888 61491108 61541172 62257536 62524572 63406056 64419256 64471704 66425392 66580976 68208624 68654432 70275552 70332768 70497504 70576979 72464064 72471663 72633792 72692928 72945334 74728566 74895744 74903598 75216988 76092544 76993068 77236236 79576728 81988144 82054896 83366096 84541408 85604112 85962272 86810976 87183327 88269984 88576477 89514432 89825246 90944832 91334914 92236662 93700736 93777024 93786858 93996672 95109084 96628884 96707556 99638088 99871464 102657424 102981648 105413328 106102304 108696096 108950688 109073513 109406528 109418001 112343616 112733698 112825482 114138816 115489602 115747968 116244436 117693312 119365092 122982216 123082344 125049144 126812112 128838512 128943408 132850784 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354305908 359300984 365339656 368946648 375147432 380436336 386515536 386830224 398552352 399485856 404213607 410629696 411007113 411926592 421653312 423461874 424409216 434784384 435802752 436294052 437672004 450934792 451301928 461958408 464977744 477460368 491928864 492329376 494038853 500196576 507248448 507301641 515354048 515773632 523099962 531403136 531458862 532647808 538951476 545668992 548009484 564615832 579773304 583562672 597828528 599228784 601735904 615944544 617889888 620035339 635192811 636613824 639344398 654441078 655905152 656439168 656508006 666928768 676402188 676952892 684832896 697466616 708611816 718601968 730679312 737893296 750294864 760872672 763514591 773031072 773660448 776346769 797104704 797188293 798971712 808427214 821259392 822014226 823853184 843306624 846923748 872588104 875344008 901869584 902603856 923916816 929955488 954920736 959016597 981661617 983857728 984658752 988077706 1000393152 1014496896 1014603282 1030708096 1031547264 1046199924 1062917724 1077902952 1096018968 1129231664 1159546608 1167125344 1195657056 1198457568 1199808643 1203471808 1231889088 1235779776 1240070678 1270385622 1273227648 1278688796 1308882156 1313016012 1352804376 1353905784 1394933232 1417223632 1437203936 1461358624 1475786592 1482116559 1500589728 1521745344 1527029182 1546062144 1547320896 1552693538 1594209408 1594376586 1597943424 1616854428 1644028452 1693847496 1745176208 1750688016 1803739168 1805207712 1847833632 1859910976 1860106017 1909841472 1918033194 1963323234 1967715456 1969317504 1976155412 2000786304 2029206564 2092399848 2125835448 2155805904 2192037936 2258463328 2290543773 2319093216 2329040307 2334250688 2391314112 2396915136 2399617286 2406943616 2463778176 2471559552 2480141356 2540771244 2557377592 2617764312 2626032024 2705608752 2707811568 2789866464 2834447264 2874407872 2877049791 2922717248 2951573184 2964233118 3001179456 3043490688 3054058364 3092124288 3094641792 3105387076 3188753172 3233708856 3288056904 3387694992 3490352416 3501376032 3599425929 3607478336 3610415424 3695667264 3719821952 3720212034 3819682944 3836066388 3926646468 3952310824 4058413128 4184799696 4251670896 4311611808 4384075872 4446349677 4516926656 4581087546 4638186432 4658080614 4668501376 4782628224 4793830272 4799234572 4960282712 5081542488 5114755184 5235528624 5252064048 5411217504 5415623136 5434427383 5579732928 5580318051 5668894528 5748815744 5754099582 5845434496 5903146368 5928466236 6002358912 6108116728 6210774152 6377506344 6467417712 6576113808 6775389984 6871631319 6980704832 6987120921 7002752064 7198851858 7214956672 7220830848 7391334528 7440424068 7672132776 7853292936 7904621648 8116826256 8369599392 8398660501 8503341792 8623223616 8768151744 8892699354 9033853312 9162175092 9276372864 9316161228 9598469144 9920565424 10163084976 10229510368 10471057248 10504128096 10798277787 10822435008 10831246272 10868854766 11159465856 11160636102 11337789056 11508199164 11856932472 12216233456 12421548304 12755012688 12934835424 13152227616 13197895073 13550779968 13743262638 13961409664 13974241842 14005504128 14397703716 14880848136 15344265552 15706585872 15809243296 16233652512 16303282149 16739198784 16797321002 17006683584 17246447232 17536303488 17785398708 18324350184 18632322456 19196938288 19841130848 20326169952 20459020736 20942114496 21008256192 21596555574 21644870016 21662492544 21737709532 22321272204 23016398328 23713864944 24432466912 24843096608 25195981503 25510025376 25869670848 26304455232 26395790146 27101559936 27486525276 27948483684 28795407432 29761696272 30688531104 31413171744 31618486592 32467305024 32606564298 33478397568 33594642004 34013367168 35570797416 36648700368 37264644912 38393876576 39593685219 39682261696 40652339904 40918041472 41884228992 42016512384 43193111148 43475419064 44642544408 46032796656 47427729888 48864933824 48909846447 49686193216 50391963006 51020050752 51739341696 52608910464 52791580292 54973050552 55896967368 57590814864 59523392544 61377062208 62826343488 63236973184 64934610048 65213128596 67189284008 71141594832 73297400736 74529289824 75587944509 76787753152 79187370438 79364523392 81304679808 86386222296 86950838128 89285088816 92065593312 92385265511 94855459776 97729867648 97819692894 99372386432 100783926012 102040101504 105583160584 109946101104 111793934736 115181629728 118781055657 119046785088 122754124416 125652686976 130426257192 134378568016 142283189664 146594801472 149058579648 151175889018 153575506304 158374740876 172772444592 173901676256 178570177632 184131186624 184770531022 189710919552 195639385788 201567852024 211166321168 219892202208 223587869472 230363259456 237562111314 238093570176 260852514384 268757136032 277155796533 284566379328 293189602944 298117159296 302351778036 316749481752 345544889184 347803352512 357140355264 368262373248 369541062044 391278771576 403135704048 422332642336 439784404416 447175738944 460726518912 475124222628 521705028768 537514272064 554311593066 569132758656 604703556072 633498963504 691089778368 695606705024 714280710528 739082124088 782557543152 806271408096 831467389599 844665284672 879568808832 894351477888 950248445256 1043410057536 1075028544128 1108623186132 1209407112144 1266997927008 1382179556736 1478164248176 1565115086304 1612542816192 1662934779198 1689330569344 1900496890512 2086820115072 2217246372264 2418814224288 2533995854016 2956328496352 3130230172608 3225085632384 3325869558396 3800993781024 4434492744528 4837628448576 5067991708032 5912656992704 6260460345216 6651739116792 7601987562048 8868985489056 9675256897152 11825313985408 13303478233584 15203975124096 17737970978112 26606956467168 35475941956224 53213912934336 106427825868672
- Sum of all divisors σ(n): 411521587495200
- Sum of proper divisors (its aliquot sum) s(n): 305093761626528
- 106427825868672 is an abundant number, because the sum of its proper divisors (305093761626528) is greater than itself. Its abundance is 198665935757856
Bases of 106427825868672
- Binary: 110000011001011101010001100000101001111100000002
- Hexadecimal: 0x60CBA8C14F80
- Base-36: 11Q49NMXS0
Squares and roots of 106427825868672
- 106427825868672 squared (1064278258686722) is 11326882119132368951391043584
- 106427825868672 cubed (1064278258686723) is 1205495437809994258785032694868085412200448
-
The
square root of 106427825868672 is 10316386.2795395559 -
The
cube root of 106427825868672 is 47389.8204725275
Scales and comparisons
How big is 106427825868672?- 106,427,825,868,672 seconds is equal to 3,384,075 years, 34 weeks, 2 days, 3 hours, 31 minutes, 12 seconds.
-
To count from 1 to 106,427,825,868,672 would take you about eight million, four hundred sixty thousand, one hundred eighty-nine 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 106427825868672 cubic inches would be around 3949.2 feet tall.
Recreational maths with 106427825868672
- 106427825868672 backwards is 276868528724601
- 106427825868672 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 106427825868672's digits is 72
- More coming soon!
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"Number 106427825868672 - Facts about the integer". Numbermatics.com. 2024. Web. 5 June 2024.
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The information we have on file for 106427825868672 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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