106984681474320
106,984,681,474,320 is an even composite number composed of seven prime numbers multiplied together.
106984681474320 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of one thousand, eight hundred divisors.
Prime factorization of 106984681474320:
24 × 34 × 5 × 13 × 432 × 73 × 972
(2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 5 × 13 × 43 × 43 × 73 × 97 × 97)See below for interesting mathematical facts about the number 106984681474320 from the Numbermatics database.
Names of 106984681474320
- Cardinal: 106984681474320 can be written as One hundred six trillion, nine hundred eighty-four billion, six hundred eighty-one million, four hundred seventy-four thousand, three hundred twenty.
Scientific notation
- Scientific notation: 1.0698468147432 × 1014
Factors of 106984681474320
Divisors of 106984681474320
- Number of divisors d(n): 1800
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 13 15 16 18 20 24 26 27 30 36 39 40 43 45 48 52 54 60 65 72 73 78 80 81 86 90 97 104 108 117 120 129 130 135 144 146 156 162 172 180 194 195 208 215 216 219 234 240 258 260 270 291 292 312 324 344 351 360 365 387 388 390 405 430 432 438 468 485 516 520 540 559 582 584 585 624 645 648 657 688 702 720 730 774 776 780 810 860 873 876 936 949 970 1032 1040 1053 1080 1095 1118 1161 1164 1168 1170 1261 1290 1296 1314 1404 1455 1460 1548 1552 1560 1620 1677 1720 1746 1752 1755 1849 1872 1898 1935 1940 1971 2064 2106 2160 2190 2236 2322 2328 2340 2522 2580 2619 2628 2795 2808 2847 2910 2920 3096 3120 3139 3240 3285 3354 3440 3483 3492 3504 3510 3698 3783 3796 3870 3880 3942 4171 4212 4365 4380 4472 4644 4656 4680 4745 5031 5044 5160 5238 5256 5265 5547 5590 5616 5694 5805 5820 5840 5913 6192 6278 6305 6480 6570 6708 6966 6984 7020 7081 7396 7566 7592 7740 7760 7857 7884 8342 8385 8424 8541 8730 8760 8944 9245 9288 9360 9409 9417 9490 9855 10062 10088 10320 10476 10512 10530 11094 11180 11349 11388 11610 11640 11826 12513 12556 12610 13095 13140 13416 13932 13968 14040 14162 14235 14792 15093 15132 15184 15480 15695 15714 15768 16641 16684 16770 16848 17082 17415 17460 17520 18490 18576 18818 18834 18915 18980 19710 20124 20176 20855 20952 21060 21243 22188 22360 22698 22776 23220 23280 23652 24037 25026 25112 25155 25220 25623 26190 26280 26832 27735 27864 28080 28227 28251 28324 28470 29565 29584 30186 30264 30960 31390 31428 31536 33282 33368 33540 34047 34164 34830 34920 35405 36980 37539 37636 37668 37830 37960 39285 39420 40248 40807 41710 41904 42120 42486 42705 44376 44720 45279 45396 45552 46440 47045 47085 47304 48074 49923 50052 50224 50310 50440 51246 52380 52560 54223 55470 55728 56454 56502 56648 56745 56940 59130 60372 60528 62565 62780 62856 63729 66564 66736 67080 68094 68328 69660 69840 70810 72111 73960 75078 75272 75336 75465 75660 75920 76869 78570 78840 80496 81614 83205 83420 84240 84681 84753 84972 85410 88752 90558 90792 92053 92880 94090 94170 94608 96148 99846 100104 100620 100880 102141 102492 104760 106215 108446 110940 112617 112908 113004 113296 113490 113880 118260 120185 120744 122317 122421 125130 125560 125712 127458 128115 133128 134160 134977 136188 136656 139320 141135 141255 141620 144222 147920 149769 150156 150544 150672 150930 151320 153738 157140 157680 162669 163228 166410 166840 169362 169506 169944 170235 170820 179353 181116 181584 184106 187695 188180 188340 191187 192296 199692 200208 201240 204035 204282 204984 209520 212430 216333 216892 221880 225234 225816 226008 226395 226980 227760 236520 240370 241488 244634 244842 249615 250260 251120 254043 254259 254916 256230 266256 269954 271115 272376 276159 278640 282270 282510 283240 288444 299538 300312 301860 302640 304483 307476 314280 318645 325338 326456 332820 333680 337851 338724 339012 339888 340470 341640 358706 360555 362232 366951 367263 368212 375390 376360 376680 382374 384345 384592 399384 402480 404587 404931 408070 408564 409968 423405 423765 424860 432666 433784 443760 450468 451632 452016 452790 453960 460265 473040 480740 488007 489268 489684 499230 500520 508086 508518 509832 510705 512460 538059 539908 542230 544752 552318 563085 564540 565020 566480 573561 576888 599076 600624 603720 608966 611585 612105 614952 628560 637290 648999 650676 652912 665640 674885 675702 677448 678024 680940 683280 686857 717412 721110 724464 733902 734526 736424 748845 750780 752720 753360 762129 764748 768690 798768 809174 809862 813345 816140 817128 828477 846810 847530 849720 865332 867568 896765 900936 905580 907920 913449 920530 955935 961480 976014 978536 979368 998460 1001040 1016172 1017036 1019664 1021410 1024920 1076118 1079816 1081665 1084460 1100853 1101789 1104636 1126170 1129080 1130040 1147122 1153776 1198152 1207440 1213761 1214793 1217932 1223170 1224210 1229904 1270215 1271295 1274580 1297998 1301352 1331280 1349770 1351404 1354896 1356048 1361880 1373714 1380795 1434824 1442220 1464021 1467804 1469052 1472848 1497690 1501560 1522415 1524258 1529496 1537380 1614177 1618348 1619724 1626690 1632280 1634256 1656954 1689255 1693620 1695060 1699440 1730664 1754701 1793530 1801872 1811160 1826898 1834755 1836315 1841060 1911870 1922960 1946997 1952028 1957072 1958736 1996920 2022935 2024655 2032344 2034072 2042820 2049840 2060571 2152236 2159632 2163330 2168920 2201706 2203578 2209272 2252340 2258160 2260080 2294244 2331589 2396304 2427522 2429586 2435864 2440035 2446340 2448420 2485431 2540430 2542590 2549160 2595996 2602704 2690295 2699540 2702808 2723760 2740347 2747428 2761590 2867805 2869648 2884440 2928042 2935608 2938104 2995380 3003120 3044830 3048516 3058992 3074760 3228354 3236696 3239448 3244995 3253380 3264560 3302559 3305367 3313908 3378510 3387240 3390120 3434285 3461328 3509402 3587060 3622320 3641283 3644379 3653796 3669510 3672630 3682120 3810645 3823740 3893994 3904056 3958279 3993840 4045870 4049310 4064688 4068144 4085640 4121142 4142385 4304472 4326660 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87390792 87465096 87841260 88068240 88143120 88604553 89291410 92725695 93263560 94673358 94753854 94998696 96850620 97100880 97183440 98652492 98907408 99076770 99417240 104383446 104742152 104921505 105192620 105282060 106873533 107149692 109238490 109331370 109613880 111270834 111916272 116220744 117121680 117834921 118139404 118748370 119300688 123315615 123634260 125905806 126231144 126338472 129134160 130927690 131086188 131536656 132102360 132214680 133937115 139177928 139895340 140376080 142010037 142130781 142498044 142866256 145275930 145651320 145775160 147674255 148361112 149125860 155759760 156575169 157113228 157788930 157923090 158331160 158522832 160724538 163857735 164420820 164845680 167874408 170205997 173972410 174781584 174930192 175682520 177209106 178122555 178582820 185451390 186527120 188858709 189346716 189507708 189997392 193701240 196391535 197304984 198153540 198834480 208766892 209484304 209843010 210385240 210564120 213747066 214299384 218476980 218662740 219227760 222541668 226164133 232441488 235669842 236278808 236683395 236884635 237496740 241086807 246631230 247268520 251811612 252462288 252676944 260958615 261855380 262172376 264204720 264429360 265813659 267874230 278177085 278355856 279790680 284020074 284261562 284996088 290551860 291302640 291550320 295348510 296722224 298251720 313150338 314226456 314764515 315577860 315846180 316662320 320620599 321449076 327715470 328841640 335748816 340411994 347944820 351365040 353504763 354418212 356245110 357165640 370902780 377717418 378693432 379015416 383953063 387402480 392783070 394609968 396307080 401811345 417533784 419686020 420770480 421128240 426030111 427494132 428598768 436953960 437325480 443022765 445083336 452328266 469725507 471339684 472557616 473366790 473769270 474993480 482173614 493262460 494537040 503623224 510617991 521917230 523710760 524344752 531627318 534367665 535748460 556354170 559581360 568040148 568523124 569992176 581103720 589174605 590697020 596503440 626300676 628452912 629529030 631155720 631692360 641241198 642898152 655430940 657683280 678492399 680823988 695889640 707009526 708836424 710050185 710653905 712490220 714331280 723260421 741805560 755434836 757386864 758030832 767906126 782875845 785566140 792614160 797440977 803622690 835067568 839372040 851029985 852060222 854988264 873907920 874650960 886045530 890166672 904656532 939451014 942679368 944293545 946733580 947538540 949986960 964347228 986524920 1007246448 1021235982 1043834460 1047421520 1060514289 1063254636 1068735330 1071496920 1112708340 1130820665 1136080296 1137046248 1151859189 1162207440 1178349210 1181394040 1205434035 1252601352 1259058060 1262311440 1263384720 1269998593 1282482396 1285796304 1310861880 1329068295 1356984798 1361647976 1391779280 1409176521 1414019052 1417672848 1420100370 1421307810 1424980440 1446520842 1483611120 1510869672 1531853973 1535812252 1565751690 1571132280 1594881954 1603102995 1607245380 1678744080 1702059970 1704120444 1709976528 1767523815 1772091060 1809313064 1878902028 1885358736 1888587090 1893467160 1895077080 1919765315 1928694456 1973049840 2035477197 2042471964 2087668920 2121028578 2126509272 2130150555 2137470660 2142993840 2225416680 2261641330 2272160592 2274092496 2303718378 2348627535 2356698420 2362788080 2392322931 2410868070 2505202704 2518116120 2539997186 2553089955 2564964792 2621723760 2658136590 2713969596 2723295952 2818353042 2828038104 2840200740 2842615620 2849960880 2893041684 3021739344 3063707946 3071624504 3131503380 3142264560 3189763908 3206205990 3214490760 3392461995 3404119940 3408240888 3455577567 3535047630 3544182120 3616302105 3618626128 3757804056 3777174180 3786934320 3790154160 3809995779 3839530630 3857388912 3987204885 4070954394 4084943928 4175337840 4242057156 4253018544 4260301110 4274941320 4450833360 4523282660 4595561919 4607436756 4697255070 4713396840 4784645862 4821736140 5036232240 5079994372 5106179910 5129929584 5302571445 5316273180 5427939192 5636706084 5656076208 5680401480 5685231240 5759295945 5786083368 6106431591 6127415892 6143249008 6263006760 6349992965 6379527816 6412411980 6428981520 6784923990 6808239880 6816481776 6911155134 7045882605 7070095260 7088364240 7232604210 7515608112 7554348360 7619991558 7659269865 7679061260 7974409770 8141908788 8169887856 8484114312 8520602220 8549882640 9046565320 9191123838 9214873512 9394510140 9426793680 9569291724 9643472280 10159988744 10177385985 10212359820 10366732701 10605142890 10632546360 10855878384 11273412168 11360802960 11370462480 11429987337 11518591890 11572166736 11961614655 12212863182 12254831784 12526013520 12699985930 12759055632 12824823960 13569847980 13616479760 13786685757 13822310268 14091765210 14140190520 14465208420 15108696720 15239983116 15318539730 15358122520 15948819540 16283817576 16509981709 16968228624 17041204440 17277887835 18093130640 18319294773 18382247676 18429747024 18789020280 19049978895 19138583448 19286944560 20319977488 20354771970 20424719640 20733465402 21210285780 21265092720 22546824336 22859974674 22977809595 23037183780 23923229310 24425726364 24509663568 25399971860 25649647920 27139695960 27573371514 27644620536 28183530420 28280381040 28930416840 30479966232 30532157955 30637079460 30716245040 31100198103 31897639080 32567635152 33019963418 34082408880 34289962011 34555775670 36638589546 36764495352 37578040560 38099957790 38277166896 40709543940 40849439280 41466930804 42420571560 45719949348 45955619190 46074367560 47846458620 48851452728 49529945127 50799943720 51833663505 54279391920 55146743028 55289241072 56367060840 57149936685 57860833680 60959932464 61064315910 61274158920 62200396206 63795278160 66039926836 68579924022 68933428785 69111551340 73277179092 73528990704 76199915580 81419087880 82549908545 82933861608 84841143120 91439898696 91596473865 91911238380 92148735120 95692917240 97702905456 99059890254 101599887440 102869886033 103667327010 110293486056 112734121680 114299873370 122128631820 122548317840 124400792412 132079853672 137159848044 137866857570 138223102680 146554358184 148589835381 152399831160 155500990515 162838175760 165099817090 165867723216 171449810055 182879797392 183192947730 183822476760 191385834480 198119780508 205739772066 207334654020 220586972112 228599746740 244257263640 247649725635 248801584824 264159707344 274319696088 275733715140 276446205360 293108716368 297179670762 304799662320 311001981030 330199634180 342899620110 366385895460 367644953520 396239561016 411479544132 414669308040 445769506143 457199493480 488514527280 495299451270 497603169648 514349430165 548639392176 551467430280 594359341524 622003962060 660399268360 685799240220 732771790920 742949176905 792479122032 822959088264 829338616080 891539012286 914398986960 990598902540 1028698860330 1102934860560 1188718683048 1244007924120 1320798536720 1337308518429 1371598480440 1465543581840 1485898353810 1645918176528 1783078024572 1981197805080 2057397720660 2228847530715 2377437366096 2488015848240 2674617036858 2743196960880 2971796707620 3566156049144 3962395610160 4114795441320 4457695061430 5349234073716 5943593415240 6686542592145 7132312098288 8229590882640 8915390122860 10698468147432 11887186830480 13373085184290 17830780245720 21396936294864 26746170368580 35661560491440 53492340737160 106984681474320
- Sum of all divisors σ(n): 419616133614216
- Sum of proper divisors (its aliquot sum) s(n): 312631452139896
- 106984681474320 is an abundant number, because the sum of its proper divisors (312631452139896) is greater than itself. Its abundance is 205646770665576
Bases of 106984681474320
- Binary: 110000101001101010011111110111110001001000100002
- Hexadecimal: 0x614D4FEF8910
- Base-36: 11X8313500
Squares and roots of 106984681474320
- 106984681474320 squared (1069846814743202) is 11445722070161709008819462400
- 106984681474320 cubed (1069846814743203) is 1224516929919844949042478188518741805568000
-
The
square root of 106984681474320 is 10343339.9573986737 -
The
cube root of 106984681474320 is 47472.3283294873
Scales and comparisons
How big is 106984681474320?- 106,984,681,474,320 seconds is equal to 3,401,781 years, 49 weeks, 1 day, 4 hours, 12 minutes.
-
To count from 1 to 106,984,681,474,320 would take you about eight million, five hundred four thousand, four hundred fifty-four 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 106984681474320 cubic inches would be around 3956 feet tall.
Recreational maths with 106984681474320
- 106984681474320 backwards is 023474186489601
- The number of decimal digits it has is: 15
- The sum of 106984681474320's digits is 63
- More coming soon!
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"Number 106984681474320 - Facts about the integer". Numbermatics.com. 2024. Web. 15 May 2024.
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Numbermatics. (2024). Number 106984681474320 - Facts about the integer. Retrieved 15 May 2024, from https://numbermatics.com/n/106984681474320/
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The information we have on file for 106984681474320 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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