106948014264
106,948,014,264 is an even composite number composed of eight prime numbers multiplied together.
106948014264 is an even composite number. It is composed of eight distinct prime numbers multiplied together. It has a total of one thousand, one hundred fifty-two divisors.
Prime factorization of 106948014264:
23 × 32 × 72 × 13 × 19 × 31 × 37 × 107
(2 × 2 × 2 × 3 × 3 × 7 × 7 × 13 × 19 × 31 × 37 × 107)See below for interesting mathematical facts about the number 106948014264 from the Numbermatics database.
Names of 106948014264
- Cardinal: 106948014264 can be written as One hundred six billion, nine hundred forty-eight million, fourteen thousand, two hundred sixty-four.
Scientific notation
- Scientific notation: 1.06948014264 × 1011
Factors of 106948014264
Divisors of 106948014264
- Number of divisors d(n): 1152
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Complete list of divisors:
1 2 3 4 6 7 8 9 12 13 14 18 19 21 24 26 28 31 36 37 38 39 42 49 52 56 57 62 63 72 74 76 78 84 91 93 98 104 107 111 114 117 124 126 133 147 148 152 156 168 171 182 186 196 214 217 222 228 234 247 248 252 259 266 273 279 294 296 312 321 333 342 364 372 392 399 403 428 434 441 444 456 468 481 494 504 518 532 546 558 588 589 637 642 651 666 684 703 728 741 744 749 777 798 806 819 856 868 882 888 931 936 962 963 988 1036 1064 1092 1116 1147 1176 1178 1197 1209 1274 1284 1302 1332 1368 1391 1406 1443 1482 1498 1519 1554 1596 1612 1638 1729 1736 1764 1767 1813 1862 1911 1924 1926 1953 1976 2033 2072 2109 2184 2223 2232 2247 2294 2331 2356 2394 2418 2548 2568 2604 2664 2782 2793 2812 2821 2886 2964 2996 3038 3108 3192 3224 3276 3317 3367 3441 3458 3528 3534 3626 3627 3724 3822 3848 3852 3906 3959 4066 4123 4173 4218 4329 4446 4494 4557 4588 4662 4712 4788 4836 4921 5096 5187 5208 5243 5301 5439 5564 5586 5624 5642 5733 5772 5928 5992 6076 6099 6216 6327 6552 6634 6734 6741 6882 6916 7068 7252 7254 7448 7644 7657 7704 7812 7918 8029 8132 8246 8346 8379 8436 8463 8658 8892 8988 9114 9139 9176 9324 9576 9672 9737 9842 9951 10101 10323 10374 10486 10602 10878 11128 11172 11284 11466 11544 11877 12103 12152 12198 12369 12519 12654 13268 13468 13482 13671 13764 13832 14136 14231 14504 14508 14763 14911 15288 15314 15561 15624 15729 15836 16058 16264 16317 16492 16692 16758 16872 16926 17316 17784 17976 18228 18278 18297 18648 19474 19684 19747 19902 20202 20646 20748 20972 21204 21756 21793 22344 22568 22932 22971 23219 23569 23754 24087 24206 24396 24738 25038 25308 25389 26429 26536 26936 26964 27342 27417 27528 27713 28462 28861 29016 29211 29526 29822 29853 30303 30628 31122 31458 31672 32116 32634 32984 33384 33516 33852 34447 34632 35631 36309 36456 36556 36594 37107 38948 39368 39494 39804 40404 41292 41496 41944 42408 42693 43121 43512 43586 44289 44733 45864 45942 46438 47138 47187 47508 48174 48412 48792 49476 50076 50616 50778 51467 52858 53599 53928 54684 54834 55426 56203 56924 57722 58422 59052 59241 59644 59706 60606 61256 62244 62916 63023 63973 64232 65268 65379 67032 67704 68159 68894 68913 69657 70707 71262 72261 72618 73112 73188 74214 75221 77896 78988 79287 79608 80808 82251 82584 83139 85386 86242 86583 87172 87633 88578 89466 91884 92876 94276 94374 95016 96348 96824 98952 99617 100152 101556 102934 103341 104377 105716 107198 108927 109368 109668 110852 112406 113848 115444 116844 118104 118482 119288 119412 121212 122729 124488 125832 126046 127946 128079 129363 130536 130758 134199 136318 137788 137826 139314 141414 142524 144522 145236 146376 148428 150442 152551 154401 157976 158574 160797 162533 164502 166278 168609 170772 172484 173166 174344 175266 177156 177723 178932 183768 185003 185752 188552 188748 189069 191919 192696 193991 196137 199234 203112 204477 205868 206682 208754 208971 211432 212121 214396 217854 219336 221704 224812 225663 230888 233688 236964 237861 238824 242424 245458 249417 252092 255892 256158 258726 259749 261516 268398 272636 275576 275652 278628 282828 283309 285048 289044 290472 296856 298851 300884 301847 305102 308802 310023 313131 317148 321594 325066 329004 332556 337218 341544 344968 346332 350532 354312 355446 357864 360269 368187 370006 375193 377496 378138 383838 387982 388089 392274 398468 408954 411736 413364 417508 417942 424242 428792 435708 441161 447811 449624 451326 457653 463203 473928 475722 482391 487599 490916 498834 504184 505827 511784 512316 517452 519498 523032 526547 536796 545272 551304 555009 557256 565656 566618 567207 575757 578088 581973 597702 601768 603694 610204 613431 617604 620046 626262 634296 643188 650132 658008 665112 674436 676989 692664 701064 710892 720538 730639 736374 740012 750386 756276 767676 775964 776178 784548 796936 817908 819299 826728 835016 835884 848484 849927 859103 871416 882322 895622 896553 902652 905541 915306 926406 939393 951444 964782 975198 977873 981832 997668 1011654 1024632 1034904 1038996 1053094 1067857 1073592 1080807 1104561 1110018 1125579 1133236 1134414 1151514 1163946 1195404 1207388 1220408 1226862 1235208 1240092 1252524 1286376 1295021 1300264 1323483 1343433 1348872 1353978 1372959 1421784 1441076 1461278 1462797 1472748 1480024 1500772 1512552 1535352 1551928 1552356 1569096 1579641 1595477 1635816 1638598 1665027 1671768 1696968 1699854 1718206 1745919 1764644 1791244 1793106 1805304 1811082 1830612 1852812 1878786 1902888 1929564 1950396 1955746 1983163 1995336 2023308 2077992 2106188 2112929 2135714 2161614 2191917 2209122 2220036 2251158 2266472 2268828 2303028 2327892 2331851 2390808 2414776 2453724 2457897 2480184 2505048 2521883 2549781 2577309 2590042 2646966 2686866 2707956 2716623 2745918 2882152 2922556 2925594 2933619 2945496 3001544 3088127 3104712 3159282 3190954 3203571 3242421 3277196 3330054 3376737 3399708 3436412 3491838 3529288 3582488 3586212 3622164 3661224 3685829 3705624 3757572 3859128 3885063 3900792 3911492 3966326 3970449 4030299 4046616 4212376 4225858 4271428 4323228 4383834 4418244 4440072 4502316 4537656 4606056 4655784 4663702 4738923 4786431 4907448 4915794 5043766 5099562 5154618 5180084 5293932 5373732 5415912 5433246 5491836 5735093 5845112 5851188 5867238 5949489 6013721 6176254 6318564 6338787 6381908 6407142 6484842 6554392 6575751 6660108 6753474 6799416 6845111 6872824 6983676 6995553 7172424 7244328 7371658 7373691 7515144 7565649 7731927 7770126 7822984 7932652 7940898 8060598 8451716 8542856 8646456 8767668 8800857 8836488 9004632 9264381 9327404 9477846 9572862 9610713 9831588 10087532 10199124 10309236 10360168 10587864 10747464 10866492 10983672 11057487 11168339 11470186 11655189 11702376 11734476 11898978 12027442 12352508 12637128 12677574 12763816 12814284 12969684 13151502 13320216 13506948 13690222 13882141 13967352 13991106 14359293 14743316 14747382 15131298 15463854 15540252 15865304 15881796 16121196 16322957 16903432 17205279 17535336 17601714 17848467 18041163 18528762 18654808 18955692 19016361 19145724 19221426 19663176 20175064 20398248 20535333 20618472 20986659 21732984 22114974 22336678 22696947 22940372 23310378 23468952 23797956 24054884 24705016 25355148 25628568 25939368 26303004 27013896 27380444 27764282 27793143 27982212 28718586 29486632 29494764 30262596 30314063 30927708 31080504 31763592 32242392 32645914 33172461 33505017 34410558 35203428 35696934 36082326 37057524 37911384 38032722 38291448 38442852 40145651 41070666 41646423 41973318 44229948 44673356 45393894 45880744 46620756 47595912 47915777 48109768 48968871 50710296 51615837 52606008 54123489 54760888 55528564 55586286 55964424 57437172 58989528 60525192 60628126 61605999 61855416 65291828 66344922 67010034 68821116 70406856 71393868 72164652 74115048 76065444 76885704 78178373 80291302 82141332 83292846 83946636 88459896 89346712 90787788 90942189 93241512 95831554 97937742 100515051 103231674 108246978 111057128 111172572 114260699 114874344 120436953 121256252 123211998 124939269 130583656 132689844 134020068 137642232 142787736 143747331 144329304 146906613 152130888 156356746 160582604 164282664 166585692 167893272 181575576 181884378 191663108 195875484 201030102 206463348 212198441 216493956 222345144 228521398 234535119 240873906 242512504 246423996 249878538 265379688 268040136 272826567 287494662 293813226 312713492 321165208 333171384 342782097 361310859 363768756 383326216 391750968 402060204 412926696 424396882 431241993 432987912 457042796 469070238 481747812 492847992 499757076 545653134 574989324 587626452 625426984 636595323 685564194 703605357 722621718 727537512 804120408 848793764 862483986 914085592 938140476 963495624 999514152 1028346291 1091306268 1149978648 1175252904 1273190646 1371128388 1407210714 1445243436 1485389087 1697587528 1724967972 1876280952 1909785969 2056692582 2182612536 2546381292 2742256776 2814421428 2890486872 2970778174 3449935944 3819571938 4113385164 4456167261 5092762584 5628842856 5941556348 7639143876 8226770328 8912334522 11883112696 13368501783 15278287752 17824669044 26737003566 35649338088 53474007132 106948014264
- Sum of all divisors σ(n): 408719001600
- Sum of proper divisors (its aliquot sum) s(n): 301770987336
- 106948014264 is an abundant number, because the sum of its proper divisors (301770987336) is greater than itself. Its abundance is 194822973072
Bases of 106948014264
- Binary: 11000111001101001100100110000101110002
- Hexadecimal: 0x18E69930B8
- Base-36: 1D4Q33Y0
Squares and roots of 106948014264
- 106948014264 squared (1069480142642) is 11437877755012747461696
- 106948014264 cubed (1069480142643) is 1223258313292991613035293601631744
-
The
square root of 106948014264 is 327029.0725057943 -
The
cube root of 106948014264 is 4746.6904260907
Scales and comparisons
How big is 106948014264?- 106,948,014,264 seconds is equal to 3,400 years, 32 weeks, 5 hours, 44 minutes, 24 seconds.
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To count from 1 to 106,948,014,264 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 106948014264 cubic inches would be around 395.6 feet tall.
Recreational maths with 106948014264
- 106948014264 backwards is 462410849601
- The number of decimal digits it has is: 12
- The sum of 106948014264's digits is 45
- More coming soon!
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The information we have on file for 106948014264 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 106948014264, math, Factors of 106948014264, curriculum, school, college, exams, university, Prime factorization of 106948014264, STEM, science, technology, engineering, physics, economics, calculator, one hundred six billion, nine hundred forty-eight million, fourteen thousand, two hundred sixty-four.