106965961990272
106,965,961,990,272 is an even composite number composed of six prime numbers multiplied together.
106965961990272 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one thousand, one hundred fifty-two divisors.
Prime factorization of 106965961990272:
27 × 33 × 72 × 11 × 312 × 59753
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 7 × 7 × 11 × 31 × 31 × 59753)See below for interesting mathematical facts about the number 106965961990272 from the Numbermatics database.
Names of 106965961990272
- Cardinal: 106965961990272 can be written as One hundred six trillion, nine hundred sixty-five billion, nine hundred sixty-one million, nine hundred ninety thousand, two hundred seventy-two.
Scientific notation
- Scientific notation: 1.06965961990272 × 1014
Factors of 106965961990272
Divisors of 106965961990272
- Number of divisors d(n): 1152
-
Complete list of divisors:
1 2 3 4 6 7 8 9 11 12 14 16 18 21 22 24 27 28 31 32 33 36 42 44 48 49 54 56 62 63 64 66 72 77 84 88 93 96 98 99 108 112 124 126 128 132 144 147 154 168 176 186 189 192 196 198 216 217 224 231 248 252 264 279 288 294 297 308 336 341 352 372 378 384 392 396 432 434 441 448 462 496 504 528 539 558 576 588 594 616 651 672 682 693 704 744 756 784 792 837 864 868 882 896 924 961 992 1008 1023 1056 1078 1116 1152 1176 1188 1232 1302 1323 1344 1364 1386 1408 1488 1512 1519 1568 1584 1617 1674 1728 1736 1764 1848 1922 1953 1984 2016 2046 2079 2112 2156 2232 2352 2376 2387 2464 2604 2646 2688 2728 2772 2883 2976 3024 3038 3069 3136 3168 3234 3348 3456 3472 3528 3696 3844 3906 3968 4032 4092 4158 4224 4312 4464 4557 4704 4752 4774 4851 4928 5208 5292 5456 5544 5766 5859 5952 6048 6076 6138 6272 6336 6468 6696 6727 6944 7056 7161 7392 7688 7812 8064 8184 8316 8624 8649 8928 9114 9207 9408 9504 9548 9702 9856 10416 10571 10584 10912 11088 11532 11718 11904 12096 12152 12276 12672 12936 13392 13454 13671 13888 14112 14322 14553 14784 15376 15624 16368 16632 16709 17248 17298 17856 18228 18414 18816 19008 19096 19404 20181 20832 21142 21168 21483 21824 22176 23064 23436 24192 24304 24552 25872 25947 26784 26908 27342 27776 28224 28644 29106 29568 30752 31248 31713 32736 33264 33418 34496 34596 35712 36456 36828 38016 38192 38808 40362 41013 41664 42284 42336 42966 43648 44352 46128 46872 47089 48608 49104 50127 51744 51894 53568 53816 54684 56448 57288 58212 59753 60543 61504 62496 63426 64449 65472 66528 66836 68992 69192 72912 73656 73997 76384 77616 80724 82026 83328 84568 84672 85932 88704 92256 93744 94178 95139 97216 98208 100254 103488 103788 107136 107632 109368 114576 116424 119506 121086 123008 124992 126852 128898 130944 133056 133672 138384 141267 145824 147312 147994 150381 152768 155232 161448 164052 169136 169344 171864 179259 181629 184512 187488 188356 190278 194432 196416 200508 206976 207576 215264 218736 221991 229152 232848 239012 242172 249984 253704 257796 266112 267344 276768 282534 285417 291648 294624 295988 300762 305536 310464 322896 328104 338272 343728 358518 363258 369024 374976 376712 380556 392832 401016 415152 418271 423801 430528 437472 443982 451143 458304 465696 478024 484344 507408 515592 517979 534688 537777 553536 565068 570834 583296 589248 591976 601524 620928 645792 656208 657283 665973 676544 687456 717036 726516 749952 753424 761112 802032 830304 836542 847602 861056 874944 887964 902286 916608 931392 956048 968688 1014816 1031184 1035958 1069376 1075554 1107072 1130136 1141668 1178496 1183952 1203048 1254813 1271403 1291584 1312416 1314566 1331946 1353088 1374912 1434072 1453032 1506848 1522224 1553937 1604064 1613331 1660608 1673084 1695204 1749888 1775928 1804572 1852343 1862784 1912096 1937376 1971849 1997919 2029632 2062368 2071916 2138752 2151108 2260272 2283336 2367904 2406096 2509626 2542806 2583168 2624832 2629132 2663892 2749824 2868144 2906064 2927897 3013696 3044448 3107874 3208128 3226662 3321216 3346168 3390408 3551856 3609144 3704686 3764439 3824192 3874752 3943698 3995838 4059264 4124736 4143832 4302216 4520544 4566672 4600981 4661811 4735808 4812192 5019252 5085612 5249664 5258264 5327784 5557029 5736288 5812128 5855794 5915547 6027392 6088896 6215748 6416256 6453324 6692336 6780816 7103712 7218288 7409372 7528878 7648384 7749504 7887396 7991676 8249472 8287664 8604432 8783691 9041088 9133344 9201962 9323622 9471616 9624384 10038504 10171224 10516528 10655568 11114058 11293317 11472576 11624256 11711588 11831094 12177792 12431496 12906648 12966401 13384672 13561632 13802943 13985433 14207424 14436576 14818744 15057756 15774792 15983352 16575328 16671087 17208864 17567382 17746641 18082176 18266688 18403924 18647244 19248768 20077008 20342448 20375773 21033056 21311136 22228116 22586634 22945152 23248512 23423176 23662188 24862992 25813296 25932802 26351073 26769344 27123264 27605886 27970866 28414848 28873152 29637488 30115512 31549584 31966704 32206867 33150656 33342174 34417728 35134764 35493282 36533376 36807848 37294488 38899203 40154016 40684896 40751546 41408829 42066112 42622272 44456232 45173268 46846352 47324376 49725984 50013261 51626592 51865604 52702146 53538688 54246528 55211772 55941732 57422633 57746304 59274976 60231024 61127319 63099168 63933408 64413734 66301312 66684348 68835456 70269528 70986564 73615696 74588976 77798406 79053219 80308032 81369792 81503092 82817658 84132224 85244544 88912464 90346536 90764807 93692704 94648752 96620601 99451968 100026522 103253184 103731208 105404292 110423544 111883464 114845266 116697609 118549952 120462048 122254638 124226487 126198336 127866816 128827468 133368696 140539056 141973128 142630411 147231392 149177952 155596812 158106438 160616064 162739584 163006184 165635316 172267899 177824928 180693072 181529614 183381957 187385408 189297504 193241202 198903936 200053044 206506368 207462416 210808584 220847088 223766928 229690532 233395218 237099904 240924096 244509276 248452974 252396672 255733632 257654936 266737392 272294421 281078112 283946256 285260822 289861803 294462784 298355904 311193624 316212876 326012368 331270632 344535798 350092827 355649856 361386144 363059228 366763914 374770816 378595008 386482404 400106088 401958431 414924832 421617168 427891233 441694176 447533856 459381064 466790436 481848192 489018552 496905948 515309872 516803697 533474784 544588842 550145871 562156224 567892512 570521644 579723606 588925568 596711808 622387248 631648963 632425752 652024736 662541264 689071596 700185654 711299712 722772288 726118456 733527828 757190016 772964808 800212176 803916862 816883263 829849664 843234336 855782466 869585409 883388352 895067712 918762128 933580872 978037104 993811896 998412877 1030619744 1033607394 1066949568 1089177684 1100291742 1124312448 1135785024 1141043288 1159447212 1205875293 1244774496 1263297926 1264851504 1283673699 1304049472 1325082528 1378143192 1400371308 1445544576 1452236912 1467055656 1545929616 1550411091 1600424352 1607833724 1633766526 1659699328 1686468672 1711564932 1739170818 1766776704 1790135424 1837524256 1867161744 1894946889 1956074208 1987623792 1996825754 2061239488 2067214788 2133899136 2178355368 2200583484 2271570048 2282086576 2318894424 2411750586 2450649789 2489548992 2526595852 2529703008 2567347398 2608098944 2650165056 2756286384 2800742616 2813709017 2904473824 2934111312 2995238631 3091859232 3100822182 3200848704 3215667448 3267533052 3372937344 3423129864 3478341636 3617625879 3675048512 3734323488 3789893778 3851021097 3912148416 3975247584 3993651508 4122478976 4134429576 4356710736 4401166968 4421542741 4564173152 4637788848 4823501172 4901299578 4979097984 5053191704 5059406016 5134694796 5300330112 5512572768 5601485232 5627418034 5684840667 5808947648 5868222624 5990477262 6183718464 6201644364 6401697408 6431334896 6535066104 6846259728 6956683272 7235251758 7350097024 7468646976 7579787556 7702042194 7824296832 7950495168 7987303016 8268859152 8441127051 8713421472 8802333936 8843085482 8985715893 9128346304 9275577696 9647002344 9802599156 10106383408 10118812032 10269389592 10852877637 11025145536 11202970464 11254836068 11369681334 11617895296 11736445248 11980954524 12367436928 12403288728 12862669792 13070132208 13264628223 13692519456 13913366544 14470503516 14937293952 15159575112 15404084388 15900990336 15974606032 16537718304 16882254102 17054522001 17426842944 17604667872 17686170964 17971431786 18256692608 18551155392 19294004688 19605198312 20212766816 20538779184 21705755274 22050291072 22405940928 22509672136 22739362668 23472890496 23961909048 24806577456 25323381153 25725339584 26140264416 26529256446 26957147679 27385038912 27826733088 28941007032 30319150224 30808168776 30950799187 31949212064 33075436608 33764508204 34109044002 34853685888 35209335744 35372341928 35942863572 37102310784 38588009376 39210396624 39793884669 40425533632 41077558368 43411510548 44811881856 45019344272 45478725336 47923818096 49613154912 50646762306 51450679168 52280528832 53058512892 53914295358 54770077824 55653466176 57882014064 60638300448 61616337552 61901598374 63898424128 66150873216 67529016408 68218088004 70418671488 70744683856 71885727144 75970143459 77176018752 78420793248 79587769338 80851067264 82155116736 86823021096 90038688544 90957450672 92852397561 95847636192 99226309824 101293524612 104561057664 106117025784 107828590716 111306932352 115764028128 119381654007 121276600896 123232675104 123803196748 127796848256 135058032816 136436176008 141489367712 143771454288 151940286918 154352037504 156841586496 159175538676 164310233472 173646042192 180077377088 181914901344 185704795122 191695272384 198452619648 202587049224 212234051568 215657181432 231528056256 238763308014 242553201792 246465350208 247606393496 270116065632 272872352016 278557192683 282978735424 287542908576 303880573836 313683172992 318351077352 347292084384 360154754176 363829802688 371409590244 383390544768 405174098448 424468103136 431314362864 463056112512 477526616028 492930700416 495212786992 540232131264 545744704032 557114385366 565957470848 575085817152 607761147672 636702154704 694584168768 727659605376 742819180488 810348196896 835671578049 848936206272 862628725728 955053232056 990425573984 1080464262528 1091489408064 1114228770732 1150171634304 1215522295344 1273404309408 1389168337536 1485638360976 1620696393792 1671343156098 1697872412544 1725257451456 1910106464112 1980851147968 2182978816128 2228457541464 2431044590688 2546808618816 2971276721952 3241392787584 3342686312196 3450514902912 3820212928224 3961702295936 4456915082928 4862089181376 5093617237632 5942553443904 6685372624392 7640425856448 8913830165856 9724178362752 11885106887808 13370745248784 15280851712896 17827660331712 26741490497568 35655320663424 53482980995136 106965961990272
- Sum of all divisors σ(n): 413973465249600
- Sum of proper divisors (its aliquot sum) s(n): 307007503259328
- 106965961990272 is an abundant number, because the sum of its proper divisors (307007503259328) is greater than itself. Its abundance is 200041541269056
Bases of 106965961990272
- Binary: 110000101001000111101000010101011100000100000002
- Hexadecimal: 0x6148F42AE080
- Base-36: 11WZHFZMO0
Squares and roots of 106965961990272
- 106965961990272 squared (1069659619902722) is 11441717024504314243422633984
- 106965961990272 cubed (1069659619902723) is 1223874268346576522983626247712437224603648
-
The
square root of 106965961990272 is 10342435.0126201905 -
The
cube root of 106965961990272 is 47469.5593681861
Scales and comparisons
How big is 106965961990272?- 106,965,961,990,272 seconds is equal to 3,401,186 years, 37 weeks, 4 days, 11 hours, 31 minutes, 12 seconds.
-
To count from 1 to 106,965,961,990,272 would take you about eight million, five hundred two thousand, nine hundred sixty-six 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 106965961990272 cubic inches would be around 3955.8 feet tall.
Recreational maths with 106965961990272
- 106965961990272 backwards is 272099169569601
- 106965961990272 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 106965961990272's digits is 72
- More coming soon!
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The information we have on file for 106965961990272 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 106965961990272, math, Factors of 106965961990272, curriculum, school, college, exams, university, Prime factorization of 106965961990272, STEM, science, technology, engineering, physics, economics, calculator, one hundred six trillion, nine hundred sixty-five billion, nine hundred sixty-one million, nine hundred ninety thousand, two hundred seventy-two.