106735985664
106,735,985,664 is an even composite number composed of seven prime numbers multiplied together.
106735985664 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of one thousand and fifty-six divisors.
Prime factorization of 106735985664:
210 × 3 × 7 × 112 × 17 × 19 × 127
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 7 × 11 × 11 × 17 × 19 × 127)See below for interesting mathematical facts about the number 106735985664 from the Numbermatics database.
Names of 106735985664
- Cardinal: 106735985664 can be written as One hundred six billion, seven hundred thirty-five million, nine hundred eighty-five thousand, six hundred sixty-four.
Scientific notation
- Scientific notation: 1.06735985664 × 1011
Factors of 106735985664
Divisors of 106735985664
- Number of divisors d(n): 1056
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Complete list of divisors:
1 2 3 4 6 7 8 11 12 14 16 17 19 21 22 24 28 32 33 34 38 42 44 48 51 56 57 64 66 68 76 77 84 88 96 102 112 114 119 121 127 128 132 133 136 152 154 168 176 187 192 204 209 224 228 231 238 242 254 256 264 266 272 304 308 323 336 352 357 363 374 381 384 399 408 418 448 456 462 476 484 508 512 528 532 544 561 608 616 627 646 672 704 714 726 748 762 768 798 816 836 847 889 896 912 924 952 968 969 1016 1024 1056 1064 1088 1122 1216 1232 1254 1292 1309 1344 1397 1408 1428 1452 1463 1496 1524 1536 1596 1632 1672 1694 1778 1792 1824 1848 1904 1936 1938 2032 2057 2112 2128 2159 2176 2244 2261 2299 2413 2432 2464 2508 2541 2584 2618 2667 2688 2794 2816 2856 2904 2926 2992 3048 3072 3192 3264 3344 3388 3553 3556 3584 3648 3696 3808 3872 3876 3927 4064 4114 4191 4224 4256 4318 4352 4389 4488 4522 4598 4826 4864 4928 5016 5082 5168 5236 5334 5376 5588 5632 5712 5808 5852 5984 6096 6171 6384 6477 6528 6688 6776 6783 6897 7106 7112 7168 7239 7296 7392 7616 7744 7752 7854 8128 8228 8382 8448 8512 8636 8704 8778 8976 9044 9196 9652 9728 9779 9856 10032 10164 10336 10472 10659 10668 10752 11176 11264 11424 11616 11704 11968 12192 12342 12768 12954 13056 13376 13552 13566 13794 14212 14224 14399 14478 14592 14784 15113 15232 15367 15488 15504 15708 16093 16256 16456 16764 16891 16896 17024 17272 17408 17556 17952 18088 18392 19304 19456 19558 19712 20064 20328 20672 20944 21318 21336 21504 22352 22848 23232 23408 23749 23936 24384 24684 24871 25536 25908 26112 26543 26752 27104 27132 27588 28424 28448 28798 28956 29184 29337 29568 30226 30464 30734 30976 31008 31416 32186 32512 32912 33528 33782 33792 34048 34544 35112 35904 36176 36784 38608 39083 39116 39424 40128 40656 41021 41344 41888 42636 42672 43197 44704 45339 45696 46101 46464 46816 47498 47872 48279 48768 49368 49742 50673 51072 51816 52224 53086 53504 54208 54264 55176 56848 56896 57596 57912 58368 58674 59136 60452 60928 61468 61952 62016 62832 64372 65024 65824 67056 67564 68096 69088 70224 71247 71808 72352 73568 74613 77216 78166 78232 78848 79629 80256 81312 82042 82688 83776 85272 85344 86394 89408 90678 91392 92202 92928 93632 94996 95744 96558 97536 98736 99484 101346 102144 103632 106172 107008 107569 108416 108528 110352 113696 113792 115192 115824 117249 117348 118272 120904 121856 122936 123063 123904 124032 125664 128744 130048 131648 134112 135128 136192 138176 140448 142494 143616 144704 147136 149226 154432 156332 156464 159258 160512 162624 164084 165376 166243 167552 170544 170688 172788 178816 181356 182784 184404 185801 185856 187264 189992 191488 193116 195072 197472 198968 202692 204288 207264 212344 214016 215138 216832 217056 220704 227392 227584 230384 231648 234498 234696 236544 241808 245872 246126 248064 251328 257488 261239 263296 268224 270256 273581 276352 280896 284988 287147 287232 289408 291973 294272 298452 308864 312664 312928 318516 321024 322707 325248 328168 330752 332486 335104 341088 341376 345576 357632 362712 365568 368808 371602 371712 374528 379984 386232 390144 394944 397936 405384 408576 414528 424688 430276 433664 434112 441408 451231 454784 455168 460768 463296 468996 469392 483616 491744 492252 496128 498729 502656 514976 522478 526592 536448 540512 547162 552704 557403 561792 569976 574294 574464 578816 583946 588544 596904 617728 625328 625856 637032 642048 645414 650496 656336 664972 670208 682176 682752 691152 715264 725424 737616 743204 749056 759968 772464 783717 789888 795872 810768 820743 829056 849376 860552 861441 867328 868224 875919 882816 902462 909568 910336 921536 926592 937992 938784 967232 983488 984504 992256 997458 1005312 1029952 1044956 1053184 1072896 1081024 1094324 1105408 1114806 1123584 1139952 1148588 1157632 1167892 1177088 1193808 1235456 1250656 1251712 1274064 1290828 1300992 1312672 1329944 1340416 1353693 1364352 1365504 1382304 1430528 1450848 1475232 1486408 1498112 1519936 1544928 1567434 1579776 1591744 1621536 1641486 1658112 1698752 1721104 1722882 1736448 1751838 1765632 1804924 1819136 1828673 1843072 1853184 1875984 1877568 1934464 1966976 1969008 1994916 2010624 2043811 2059904 2089912 2106368 2145792 2162048 2188648 2210816 2229612 2247168 2279904 2297176 2315264 2335784 2354176 2387616 2470912 2501312 2503424 2548128 2581656 2601984 2625344 2659888 2707386 2728704 2731008 2764608 2901696 2950464 2972816 3039872 3089856 3134868 3158617 3159552 3183488 3243072 3282972 3316224 3397504 3442208 3445764 3472896 3503676 3531264 3609848 3638272 3657346 3686144 3706368 3751968 3755136 3868928 3933952 3938016 3989832 4021248 4087622 4119808 4179824 4291584 4324096 4377296 4459224 4494336 4559808 4594352 4671568 4775232 4963541 5002624 5006848 5096256 5163312 5250688 5319776 5414772 5457408 5486019 5529216 5803392 5900928 5945632 6079744 6131433 6179712 6269736 6317234 6319104 6366976 6486144 6565944 6632448 6795008 6884416 6891528 6945792 7007352 7062528 7219696 7314692 7372288 7412736 7503936 7510272 7737856 7867904 7876032 7979664 8175244 8239616 8359648 8648192 8754592 8918448 9119616 9188704 9343136 9475851 9550464 9927082 10005248 10013696 10192512 10326624 10501376 10639552 10829544 10914816 10972038 11058432 11606784 11801856 11891264 12159488 12262866 12359424 12539472 12634468 12733952 12972288 13131888 13590016 13768832 13783056 14014704 14439392 14629384 14744576 14890623 15007872 15020544 15475712 15735808 15752064 15959328 16350488 16479232 16719296 17296384 17509184 17836896 18239232 18377408 18686272 18951702 19100928 19854164 20010496 20385024 20653248 21002752 21279104 21659088 21944076 22116864 23213568 23603712 23782528 24318976 24525732 24718848 25078944 25268936 25467904 25944576 26263776 27180032 27537664 27566112 28029408 28878784 29258768 29781246 30015744 30041088 31504128 31918656 32700976 33438592 34744787 35018368 35673792 36478464 36754816 37372544 37903404 38201856 39708328 40020992 40770048 41306496 42005504 42558208 43318176 43888152 44233728 46427136 47207424 47565056 49051464 49437696 50157888 50537872 51889152 52527552 55075328 55132224 56058816 57757568 58517536 59562492 60031488 63008256 63837312 65401952 66877184 69489574 70036736 71347584 72956928 73509632 74745088 75806808 76403712 79416656 81540096 82612992 85116416 86636352 87776304 95130112 98102928 100315776 101075744 104234361 105055104 110150656 110264448 112117632 115515136 117035072 119124984 120062976 126016512 127674624 130803904 133754368 138979148 140073472 142695168 147019264 149490176 151613616 158833312 165225984 170232832 173272704 175552608 190260224 196205856 200631552 202151488 208468722 210110208 220528896 224235264 231030272 234070144 238249968 255349248 261607808 267508736 277958296 280146944 285390336 294038528 298980352 303227232 317666624 330451968 346545408 351105216 392411712 401263104 404302976 416937444 420220416 441057792 448470528 462060544 468140288 476499936 510698496 523215616 555916592 570780672 606454464 635333248 693090816 702210432 784823424 802526208 808605952 833874888 840440832 882115584 896941056 936280576 952999872 1046431232 1111833184 1212908928 1270666496 1386181632 1404420864 1569646848 1617211904 1667749776 1872561152 1905999744 2092862464 2223666368 2425817856 2541332992 2808841728 3139293696 3234423808 3335499552 3811999488 4447332736 4851635712 5082665984 5617683456 6278587392 6670999104 7623998976 8894665472 9703271424 13341998208 15247997952 17789330944 26683996416 35578661888 53367992832 106735985664
- Sum of all divisors σ(n): 401450434560
- Sum of proper divisors (its aliquot sum) s(n): 294714448896
- 106735985664 is an abundant number, because the sum of its proper divisors (294714448896) is greater than itself. Its abundance is 187978463232
Bases of 106735985664
- Binary: 11000110110011111010111100100000000002
- Hexadecimal: 0x18D9F5E400
- Base-36: 1D17ULMO
Squares and roots of 106735985664
- 106735985664 squared (1067359856642) is 11392570635665613520896
- 106735985664 cubed (1067359856643) is 1215997256044512291864120020434944
-
The
square root of 106735985664 is 326704.7377434249 -
The
cube root of 106735985664 is 4743.5515180135
Scales and comparisons
How big is 106735985664?- 106,735,985,664 seconds is equal to 3,393 years, 45 weeks, 3 days, 4 hours, 54 minutes, 24 seconds.
-
To count from 1 to 106,735,985,664 would take you about six thousand, seven hundred eighty-seven 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 106735985664 cubic inches would be around 395.3 feet tall.
Recreational maths with 106735985664
- 106735985664 backwards is 466589537601
- The number of decimal digits it has is: 12
- The sum of 106735985664's digits is 60
- More coming soon!
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The information we have on file for 106735985664 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 106735985664, math, Factors of 106735985664, curriculum, school, college, exams, university, Prime factorization of 106735985664, STEM, science, technology, engineering, physics, economics, calculator, one hundred six billion, seven hundred thirty-five million, nine hundred eighty-five thousand, six hundred sixty-four.