106948483488
106,948,483,488 is an even composite number composed of seven prime numbers multiplied together.
106948483488 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of one thousand, seven hundred twenty-eight divisors.
Prime factorization of 106948483488:
25 × 35 × 72 × 11 × 17 × 19 × 79
(2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 7 × 7 × 11 × 17 × 19 × 79)See below for interesting mathematical facts about the number 106948483488 from the Numbermatics database.
Names of 106948483488
- Cardinal: 106948483488 can be written as One hundred six billion, nine hundred forty-eight million, four hundred eighty-three thousand, four hundred eighty-eight.
Scientific notation
- Scientific notation: 1.06948483488 × 1011
Factors of 106948483488
Divisors of 106948483488
- Number of divisors d(n): 1728
-
Complete list of divisors:
1 2 3 4 6 7 8 9 11 12 14 16 17 18 19 21 22 24 27 28 32 33 34 36 38 42 44 48 49 51 54 56 57 63 66 68 72 76 77 79 81 84 88 96 98 99 102 108 112 114 119 126 132 133 136 144 147 152 153 154 158 162 168 171 176 187 189 196 198 204 209 216 224 228 231 237 238 243 252 264 266 272 288 294 297 304 306 308 316 323 324 336 342 352 357 374 378 392 396 399 408 418 432 441 456 459 462 474 476 486 504 513 528 532 539 544 553 561 567 588 594 608 612 616 627 632 646 648 672 684 693 711 714 748 756 784 792 798 816 833 836 864 869 882 891 912 918 924 931 948 952 969 972 1008 1026 1056 1064 1071 1078 1106 1122 1134 1176 1188 1197 1224 1232 1254 1264 1292 1296 1309 1323 1343 1368 1377 1386 1422 1428 1463 1496 1501 1512 1539 1568 1584 1596 1617 1632 1659 1666 1672 1683 1701 1738 1764 1782 1824 1836 1848 1862 1881 1896 1904 1938 1944 2016 2052 2079 2128 2133 2142 2156 2212 2244 2261 2268 2352 2376 2394 2448 2464 2499 2508 2528 2584 2592 2607 2618 2646 2673 2686 2736 2754 2772 2793 2844 2856 2907 2926 2992 3002 3024 3078 3168 3192 3213 3234 3318 3332 3344 3366 3402 3476 3528 3553 3564 3591 3672 3696 3724 3762 3792 3808 3871 3876 3888 3927 3969 4029 4104 4131 4158 4256 4266 4284 4312 4389 4424 4488 4503 4522 4536 4617 4704 4752 4788 4851 4896 4977 4998 5016 5049 5168 5214 5236 5292 5346 5372 5472 5508 5544 5586 5643 5688 5712 5814 5852 5984 6004 6048 6083 6156 6237 6384 6399 6426 6468 6636 6664 6688 6732 6783 6804 6952 7056 7106 7128 7182 7344 7392 7448 7497 7524 7584 7742 7752 7776 7821 7854 7938 8058 8208 8262 8316 8379 8532 8568 8624 8721 8778 8848 8976 9006 9044 9072 9163 9234 9401 9504 9576 9639 9702 9954 9996 10032 10098 10241 10336 10428 10472 10507 10584 10659 10692 10744 10773 11016 11088 11172 11286 11376 11424 11613 11628 11704 11781 11907 12008 12087 12166 12312 12474 12768 12798 12852 12936 13167 13272 13328 13464 13509 13566 13608 13904 14112 14212 14256 14364 14553 14688 14773 14896 14931 14994 15048 15147 15484 15504 15642 15708 15827 15876 16116 16416 16511 16524 16632 16758 16929 17064 17136 17248 17442 17556 17696 17952 18012 18088 18144 18249 18326 18468 18711 18802 19152 19197 19278 19404 19908 19992 20064 20196 20349 20482 20856 20944 21014 21168 21318 21384 21488 21546 22032 22176 22344 22491 22572 22752 23226 23256 23408 23463 23562 23814 24016 24174 24332 24624 24871 24948 25137 25517 25596 25704 25872 26163 26334 26544 26656 26928 27018 27132 27216 27489 27808 28203 28424 28512 28728 28917 29106 29546 29792 29862 29988 30096 30294 30723 30968 31008 31284 31416 31521 31654 31752 31977 32232 32319 33022 33048 33264 33516 33858 34128 34272 34839 34884 35112 35343 36024 36176 36261 36498 36652 36936 37422 37604 38304 38394 38556 38808 39501 39816 39984 40392 40527 40698 40964 41712 41888 42028 42336 42581 42636 42768 42976 43092 43659 44064 44319 44688 44793 44982 45144 45441 46452 46512 46816 46926 47124 47481 47628 48032 48348 48664 49248 49533 49742 49896 50274 50787 51034 51192 51408 51744 52326 52668 53088 53856 54036 54264 54432 54747 54978 56406 56848 57456 57834 58212 59092 59724 59976 60192 60588 61047 61446 61936 62568 62832 63042 63308 63504 63954 64464 64638 65807 66044 66096 66528 67032 67473 67716 68256 69678 69768 70224 70389 70686 72048 72352 72522 72996 73304 73549 73872 74613 74844 75208 75411 76551 76788 77112 77616 78489 79002 79632 79968 80784 81054 81396 81928 82467 83424 84056 84609 85162 85272 85536 86184 87318 88638 89376 89586 89964 90288 90882 92169 92904 93024 93852 94248 94563 94962 95256 95931 96696 97328 99066 99484 99792 100548 101574 102068 102384 102816 103411 104517 104652 105336 106029 108072 108528 108783 109494 109956 112812 113696 114912 115577 115668 116424 118184 118503 119448 119952 121176 121581 122094 122892 123872 125136 125664 126084 126616 127008 127743 127908 128928 129276 130977 131614 132088 132192 132957 134064 134379 134946 135432 139356 139536 140448 140778 141372 142443 144096 145044 145992 146608 147098 147744 148599 149226 149688 150416 150822 153102 153576 154224 155232 156978 158004 159264 161568 162108 162792 163856 164241 164934 168112 169218 170324 170544 172368 174097 174636 177276 178619 179172 179928 180576 181764 183141 184338 185808 187704 188496 189126 189924 190512 191862 193392 194656 197421 198132 198968 199584 201096 202419 203148 204136 204768 206822 209034 209304 210672 211167 212058 216144 217056 217566 218988 219912 220647 223839 225624 226233 229653 231154 231336 232848 236368 237006 238896 239904 242352 243162 244188 245784 247401 250272 252168 253232 253827 255486 255816 258552 261954 263228 264176 265914 268128 268758 269892 270864 276507 278712 279072 280687 281556 282744 283689 284886 287793 290088 291984 293216 294196 297198 298452 299376 300832 301644 306204 307152 308448 310233 313551 313956 316008 318087 324216 325584 326349 327712 328482 329868 336224 338436 340648 341088 344736 346731 348194 349272 354552 355509 357238 358344 359856 363528 364743 366282 368676 371616 375408 376992 378252 379848 381024 383229 383724 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15383844 15718472 15767136 15886584 15991101 16048692 16116408 16535016 16643088 16713312 16752582 17147424 17373048 17581536 17683281 17812872 17872407 18275544 18394992 18723474 18802476 18952416 19145808 19290852 19416936 19544679 19908504 20005328 20209464 20425608 20511792 20694366 21182112 21321468 21398256 21488544 21844053 22046688 22336776 22505994 22735647 23164064 23577708 23650704 23750496 23829876 24174612 24367392 24802524 24964632 25069968 25128873 25721136 25889248 26059572 26544672 26945952 27234144 27507326 27592488 27628128 28085211 28203714 28428624 28718712 28936278 29125404 29782368 30007992 30100896 30314196 30767688 31436944 31773168 31982202 32097384 32232816 33070032 33286176 33505164 33758991 34746096 35366562 35625744 35744814 36551088 36789984 37446948 37604952 38291616 38581704 38833872 39089358 39817008 40010656 40418928 40851216 41023584 41260989 41388732 42305571 42642936 42796512 43404417 43688106 44673552 45011988 45471294 47155416 47301408 47659752 48349224 49605048 49929264 50139936 50257746 51442272 52119144 53049843 55014652 55184976 56170422 56407428 56857248 57437424 57872556 58250808 58634037 60015984 60628392 61535376 62873888 63546336 63964404 64194768 64465632 65532159 66140064 67010328 67517982 68206941 69492192 70733124 71251488 71489628 73102176 74893896 75209904 77163408 77667744 78178716 79634016 80837856 81702432 82521978 82777464 84611142 85285872 86808834 87376212 89347104 90023976 90942588 94310832 95319504 96698448 99210096 99858528 100515492 101276973 104238288 106099686 110029304 110369952 112340844 112814856 114874848 115745112 116501616 117268074 120031968 121256784 123070752 123782967 127928808 128389536 131064318 134020656 135035964 136413882 141466248 142979256 149787792 150419808 154326816 156357432 159149529 165043956 165554928 169222284 170571744 173617668 174752424 175902111 180047952 181885176 188621664 190639008 193396896 196596477 198420192 201030984 202553946 208476576 212199372 220058608 224681688 225629712 231490224 233003232 234536148 242513568 247565934 255857616 262128636 268041312 270071928 272827764 282932496 285958512 299575584 303830919 312714864 318299058 330087912 331109856 338444568 347235336 349504848 351804222 360095904 363770352 371348901 393192954 402061968 405107892 424398744 440117216 449363376 451259424 462980448 469072296 477448587 495131868 511715232 524257272 540143856 545655528 565864992 571917024 607661838 625429728 636598116 660175824 676889136 694470672 699009696 703608444 727540704 742697802 786385908 804123936 810215784 848797488 898726752 938144592 954897174 990263736 1048514544 1080287712 1091311056 1114046703 1215323676 1273196232 1320351648 1353778272 1388941344 1407216888 1485395604 1572771816 1620431568 1697594976 1876289184 1909794348 1980527472 2097029088 2182622112 2228093406 2430647352 2546392464 2814433776 2970791208 3145543632 3240863136 3342140109 3819588696 3961054944 4456186812 4861294704 5092784928 5628867552 5941582416 6291087264 6684280218 7639177392 8912373624 9722589408 11883164832 13368560436 15278354784 17824747248 26737120872 35649494496 53474241744 106948483488
- Sum of all divisors σ(n): 451742054400
- Sum of proper divisors (its aliquot sum) s(n): 344793570912
- 106948483488 is an abundant number, because the sum of its proper divisors (344793570912) is greater than itself. Its abundance is 237845087424
Bases of 106948483488
- Binary: 11000111001101010000001011001101000002
- Hexadecimal: 0x18E6A059A0
- Base-36: 1D4QD600
Squares and roots of 106948483488
- 106948483488 squared (1069484834882) is 11437978120383008646144
- 106948483488 cubed (1069484834883) is 1223274414143887476427892818870272
-
The
square root of 106948483488 is 327029.7899091151 -
The
cube root of 106948483488 is 4746.6973679613
Scales and comparisons
How big is 106948483488?- 106,948,483,488 seconds is equal to 3,400 years, 32 weeks, 5 days, 16 hours, 4 minutes, 48 seconds.
-
To count from 1 to 106,948,483,488 would take you about six thousand, eight hundred one 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 106948483488 cubic inches would be around 395.6 feet tall.
Recreational maths with 106948483488
- 106948483488 backwards is 884384849601
- 106948483488 is a
Harshad number . - The number of decimal digits it has is: 12
- The sum of 106948483488's digits is 63
- More coming soon!
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The information we have on file for 106948483488 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 106948483488, math, Factors of 106948483488, curriculum, school, college, exams, university, Prime factorization of 106948483488, STEM, science, technology, engineering, physics, economics, calculator, one hundred six billion, nine hundred forty-eight million, four hundred eighty-three thousand, four hundred eighty-eight.