106980149952
106,980,149,952 is an even composite number composed of seven prime numbers multiplied together.
106980149952 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of one thousand, one hundred twenty divisors.
Prime factorization of 106980149952:
26 × 34 × 13 × 19 × 29 × 43 × 67
(2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 13 × 19 × 29 × 43 × 67)See below for interesting mathematical facts about the number 106980149952 from the Numbermatics database.
Names of 106980149952
- Cardinal: 106980149952 can be written as One hundred six billion, nine hundred eighty million, one hundred forty-nine thousand, nine hundred fifty-two.
Scientific notation
- Scientific notation: 1.06980149952 × 1011
Factors of 106980149952
Divisors of 106980149952
- Number of divisors d(n): 1120
-
Complete list of divisors:
1 2 3 4 6 8 9 12 13 16 18 19 24 26 27 29 32 36 38 39 43 48 52 54 57 58 64 67 72 76 78 81 86 87 96 104 108 114 116 117 129 134 144 152 156 162 171 172 174 192 201 208 216 228 232 234 247 258 261 268 288 304 312 324 342 344 348 351 377 387 402 416 432 456 464 468 494 513 516 522 536 551 559 576 603 608 624 648 684 688 696 702 741 754 774 783 804 817 832 864 871 912 928 936 988 1026 1032 1044 1053 1072 1102 1118 1131 1161 1206 1216 1247 1248 1273 1296 1368 1376 1392 1404 1482 1508 1539 1548 1566 1608 1634 1653 1677 1728 1742 1809 1824 1856 1872 1943 1976 2052 2064 2088 2106 2144 2204 2223 2236 2262 2322 2349 2412 2451 2494 2496 2546 2592 2613 2736 2752 2784 2808 2881 2964 3016 3078 3096 3132 3216 3268 3306 3354 3393 3483 3484 3618 3648 3741 3744 3819 3886 3952 4104 4128 4176 4212 4288 4408 4446 4472 4524 4644 4698 4824 4902 4959 4988 5031 5092 5184 5226 5427 5472 5568 5616 5762 5829 5928 6032 6156 6192 6264 6432 6536 6612 6669 6708 6786 6966 6968 7163 7236 7353 7482 7488 7638 7772 7839 7904 8208 8256 8352 8424 8643 8816 8892 8944 9048 9288 9396 9648 9804 9918 9976 10062 10179 10184 10452 10621 10854 10944 11223 11232 11457 11524 11658 11856 12064 12312 12384 12528 12864 13072 13224 13338 13416 13572 13932 13936 14326 14472 14706 14877 14964 15093 15276 15544 15678 15808 16211 16416 16549 16704 16848 17286 17487 17632 17784 17888 18096 18576 18792 19296 19608 19836 19952 20007 20124 20358 20368 20904 21242 21489 21708 22059 22446 22464 22914 23048 23316 23517 23693 23712 24128 24624 24768 25056 25259 25929 26144 26448 26676 26832 27144 27864 27872 28652 28944 29412 29754 29928 30186 30537 30552 31088 31356 31863 32422 32832 33098 33669 33696 34371 34572 34974 35264 35568 35776 36192 36917 37152 37453 37584 38592 39216 39672 39904 40014 40248 40716 40736 41808 42484 42978 43416 44118 44631 44892 45279 45828 46096 46632 47034 47386 47424 48633 49248 49647 50112 50518 51858 52288 52461 52896 53352 53664 54288 54739 55728 55744 57304 57888 58824 59508 59856 60372 61074 61104 62176 62712 63726 64467 64844 66177 66196 67338 67392 68742 69144 69948 70551 71079 71136 72384 73834 74304 74906 75168 75777 77787 78432 79344 79808 80028 80496 81432 81472 83549 83616 84968 85956 86832 88236 89262 89784 90558 91656 92192 93264 94068 94772 95589 97266 98496 99294 101007 101036 103113 103716 104922 105792 106704 107328 108576 109478 110751 111456 112359 114608 115776 117648 119016 119712 120744 122148 122208 124352 125424 127452 128934 129688 132354 132392 134676 137484 138288 139896 141102 142158 142272 145899 147668 148941 149812 150336 151554 155574 156864 157383 158688 160056 160992 162864 164217 167098 167232 169936 171912 173664 176472 178524 179568 181116 183312 184384 186528 188136 189544 191178 193401 194532 198588 202014 202072 206226 207432 209844 213237 213408 217152 218956 221502 222912 224718 227331 229216 233361 235296 238032 239424 241488 244296 244416 250647 250848 254904 257868 259376 264708 264784 269352 274968 276576 279792 282204 284316 286767 291798 295336 297882 299624 303108 308009 311148 314766 317376 320112 321984 325728 328434 332253 334196 337077 339872 343824 347328 352944 357048 359136 362232 366624 373056 376272 379088 382356 386802 389064 397176 404028 404144 412452 414864 419688 426474 426816 437697 437912 443004 446823 449436 454662 458432 466722 470592 476064 479921 482976 488592 492651 501294 501696 509808 515736 518752 529416 529568 538704 549936 553152 559584 564408 568632 573534 580203 583596 590672 595764 599248 606216 616018 622296 629532 639711 640224 651456 656868 664506 668392 674154 679744 681993 687648 705888 711607 714096 718272 724464 733248 751941 752544 758176 764712 773604 778128 794352 808056 808288 824904 829728 839376 852948 860301 875394 875824 886008 893646 898872 909324 924027 933444 952128 959842 965952 977184 985302 996759 1002588 1011231 1019616 1031472 1037504 1058832 1059136 1077408 1086137 1099872 1119168 1128816 1137264 1147068 1160406 1167192 1181344 1191528 1198496 1212432 1232036 1244592 1259064 1279422 1280448 1313091 1313736 1329012 1336784 1340469 1348308 1363986 1375296 1411776 1423214 1428192 1439763 1448928 1477953 1503882 1505088 1516352 1529424 1547208 1556256 1587431 1588704 1616112 1616576 1649808 1659456 1678752 1705896 1720602 1750788 1751648 1772016 1787292 1797744 1818648 1848054 1866888 1919133 1919684 1954368 1970604 1993518 2005176 2022462 2039232 2045979 2062944 2117664 2134821 2154816 2172274 2199744 2255823 2257632 2274528 2294136 2320812 2334384 2362688 2383056 2396992 2424864 2464072 2489184 2518128 2558844 2626182 2627472 2658024 2673568 2680938 2696616 2727972 2772081 2846428 2856384 2879526 2897856 2955906 2990277 3007764 3033693 3058848 3094416 3112512 3174862 3177408 3232224 3258411 3299616 3357504 3411792 3441204 3501576 3503296 3544032 3574584 3595488 3637296 3696108 3733776 3838266 3839368 3941208 3987036 4010352 4044924 4091958 4125888 4235328 4269642 4319289 4344548 4433859 4511646 4515264 4549056 4588272 4641624 4668768 4762293 4766112 4849728 4928144 4978368 5036256 5117688 5252364 5254944 5316048 5347136 5361876 5393232 5455944 5544162 5692856 5759052 5911812 5980554 6015528 6067386 6117696 6188832 6349724 6404463 6464448 6516822 6599232 6767469 6823584 6882408 7003152 7088064 7149168 7190976 7274592 7392216 7467552 7676532 7678736 7882416 7974072 8020704 8089848 8183916 8316243 8539284 8638578 8689096 8867718 9023292 9176544 9283248 9337536 9524586 9532224 9775233 9856288 10072512 10235376 10504728 10509888 10632096 10723752 10786464 10911888 11088324 11385712 11518104 11823624 11961108 12031056 12134772 12377664 12699448 12808926 12957867 13033644 13534938 13647168 13764816 14006304 14286879 14298336 14549184 14784432 14935104 15353064 15357472 15764832 15948144 16041408 16179696 16367832 16632486 17078568 17277156 17378192 17735436 18046584 18353088 18566496 19049172 19213389 19550466 19712576 20470752 20636603 21009456 21264192 21447504 21572928 21823776 22176648 22771424 23036208 23647248 23922216 24062112 24269544 24948729 25398896 25617852 25915734 26067288 27069876 27529632 28012608 28573758 28596672 29325699 29568864 30706128 30714944 31529664 31896288 32359392 32735664 33264972 34157136 34554312 34756384 35470872 36093168 37132992 38098344 38426778 38873601 39100932 40941504 41273206 42018912 42860637 42895008 43647552 44353296 45542848 46072416 47294496 47844432 48124224 48539088 49897458 50797792 51235704 51831468 52134576 54139752 55059264 57147516 57640167 58651398 59137728 61412256 61909809 63792576 64718784 65471328 66529944 68314272 69108624 69512768 70941744 72186336 76196688 76853556 77747202 78201864 82546412 84037824 85721274 85790016 87977097 88706592 92144832 94588992 95688864 97078176 99794916 101595584 102471408 103662936 104269152 108279504 114295032 115280334 117302796 122824512 123819618 128581911 130942656 133059888 136628544 138217248 141883488 144372672 152393376 153707112 155494404 156403728 165092824 171442548 175954194 177413184 185729427 191377728 194156352 199589832 204942816 207325872 208538304 216559008 228590064 230560668 234605592 247639236 257163822 266119776 276434496 283766976 304786752 307414224 310988808 312807456 330185648 342885096 351908388 371458854 399179664 409885632 414651744 433118016 457180128 461121336 469211184 495278472 514327644 532239552 557188281 614828448 621977616 625614912 660371296 685770192 703816776 742917708 798359328 829303488 914360256 922242672 938422368 990556944 1028655288 1114376562 1229656896 1243955232 1320742592 1371540384 1407633552 1485835416 1596718656 1671564843 1844485344 1876844736 1981113888 2057310576 2228753124 2487910464 2743080768 2815267104 2971670832 3343129686 3688970688 3962227776 4114621152 4457506248 5630534208 5943341664 6686259372 8229242304 8915012496 11886683328 13372518744 17830024992 26745037488 35660049984 53490074976 106980149952
- Sum of all divisors σ(n): 386215737600
- Sum of proper divisors (its aliquot sum) s(n): 279235587648
- 106980149952 is an abundant number, because the sum of its proper divisors (279235587648) is greater than itself. Its abundance is 172255437696
Bases of 106980149952
- Binary: 11000111010001000001110001010110000002
- Hexadecimal: 0x18E8838AC0
- Base-36: 1D597W00
Squares and roots of 106980149952
- 106980149952 squared (1069801499522) is 11444752483752405602304
- 106980149952 cubed (1069801499523) is 1224361336875356794975206796689408
-
The
square root of 106980149952 is 327078.2015848809 -
The
cube root of 106980149952 is 4747.1658062337
Scales and comparisons
How big is 106980149952?- 106,980,149,952 seconds is equal to 3,401 years, 33 weeks, 1 day, 4 hours, 19 minutes, 12 seconds.
-
To count from 1 to 106,980,149,952 would take you about six thousand, eight hundred three 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 106980149952 cubic inches would be around 395.6 feet tall.
Recreational maths with 106980149952
- 106980149952 backwards is 259941089601
- 106980149952 is a
Harshad number . - The number of decimal digits it has is: 12
- The sum of 106980149952's digits is 54
- More coming soon!
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The information we have on file for 106980149952 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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