105984445807968
105,984,445,807,968 is an even composite number composed of six prime numbers multiplied together.
105984445807968 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of eight hundred sixty-four divisors.
Prime factorization of 105984445807968:
25 × 3 × 73 × 132 × 79 × 4912
(2 × 2 × 2 × 2 × 2 × 3 × 7 × 7 × 7 × 13 × 13 × 79 × 491 × 491)See below for interesting mathematical facts about the number 105984445807968 from the Numbermatics database.
Names of 105984445807968
- Cardinal: 105984445807968 can be written as One hundred five trillion, nine hundred eighty-four billion, four hundred forty-five million, eight hundred seven thousand, nine hundred sixty-eight.
Scientific notation
- Scientific notation: 1.05984445807968 × 1014
Factors of 105984445807968
Divisors of 105984445807968
- Number of divisors d(n): 864
-
Complete list of divisors:
1 2 3 4 6 7 8 12 13 14 16 21 24 26 28 32 39 42 48 49 52 56 78 79 84 91 96 98 104 112 147 156 158 168 169 182 196 208 224 237 273 294 312 316 336 338 343 364 392 416 474 491 507 546 553 588 624 632 637 672 676 686 728 784 948 982 1014 1027 1029 1092 1106 1176 1183 1248 1264 1274 1352 1372 1456 1473 1568 1659 1896 1911 1964 2028 2054 2058 2184 2212 2352 2366 2528 2548 2704 2744 2912 2946 3081 3318 3437 3549 3792 3822 3871 3928 4056 4108 4116 4368 4424 4459 4704 4732 5096 5408 5488 5892 6162 6383 6636 6874 7098 7189 7584 7644 7742 7856 8112 8216 8232 8281 8736 8848 8918 9464 10192 10311 10976 11613 11784 12324 12766 13272 13351 13377 13748 14196 14378 15288 15484 15712 16224 16432 16464 16562 17696 17836 18928 19149 20384 20622 21567 23226 23568 24059 24648 24843 25532 26544 26702 26754 27097 27496 28392 28756 30576 30968 32864 32928 33124 35672 37856 38298 38789 40053 41244 43134 44681 46452 47136 48118 49296 49686 50323 51064 53088 53404 53508 54194 54992 56784 57512 57967 61152 61936 66248 71344 72177 76596 77578 80106 81291 82488 82979 86268 89362 92904 93457 96236 98592 99372 100646 102128 106808 107016 108388 109984 113568 115024 115934 116367 123872 132496 134043 142688 144354 150969 153192 155156 160212 162582 164976 165958 168413 172536 173901 178724 185808 186914 192472 198744 201292 204256 213616 214032 216776 230048 231868 232734 241081 248937 264992 268086 271523 280371 288708 301938 306384 310312 312767 320424 325164 329952 331916 336826 345072 347802 352261 357448 371616 373828 384944 397488 402584 427232 428064 433552 463736 465468 482162 497874 504257 505239 536172 543046 560742 577416 580853 603876 612768 620624 625534 640848 650328 654199 663832 673652 690144 695604 704522 714896 723243 747656 769888 794976 805168 814569 867104 927472 930936 938301 964324 995748 1008514 1010478 1056783 1072344 1086092 1121484 1154832 1161706 1207752 1241248 1251068 1281696 1300656 1308398 1327664 1347304 1391208 1409044 1429792 1446486 1495312 1512771 1610336 1629138 1687567 1742559 1854944 1861872 1876602 1900661 1928648 1962597 1991496 2017028 2020956 2113566 2144688 2172184 2189369 2242968 2309664 2323412 2415504 2502136 2601312 2616796 2655328 2694608 2782416 2818088 2892972 2990624 3025542 3134053 3258276 3375134 3485118 3529799 3723744 3753204 3801322 3857296 3925194 3982992 4034056 4041912 4065971 4227132 4289376 4344368 4378738 4485936 4579393 4646824 4831008 5004272 5062701 5233592 5389216 5564832 5636176 5701983 5785944 6051084 6268106 6516552 6555341 6568107 6750268 6970236 7059598 7506408 7602644 7714592 7850388 7965984 8068112 8083824 8131942 8454264 8688736 8757476 8971872 9158786 9293648 9402159 10008544 10125402 10467184 10589397 11272352 11403966 11571888 11812969 12102168 12197913 12536212 13033104 13110682 13136214 13304627 13500536 13738179 13940472 14119196 15012816 15205288 15700776 16136224 16167648 16263884 16908528 17514952 18317572 18587296 18804318 19045399 19666023 20250804 20934368 21178794 21938371 22807932 23143776 23625938 24204336 24395826 24708593 25072424 26066208 26221364 26272428 26609254 27001072 27476358 27880944 28238392 28461797 30025632 30410576 31401552 32527768 33817056 35029904 35438907 36635144 37608636 38090798 39332046 39913881 40501608 40742689 42357588 43876742 45615864 45887387 47251876 48408672 48791652 49417186 50144848 52442728 52544856 53218508 54002144 54952716 55761888 56476784 56923594 57136197 60821152 62803104 65055536 65815113 70059808 70877814 73270288 74125779 75217272 76181596 78664092 79827762 81003216 81485378 82690783 84715176 85385391 87753484 91231728 91774774 94503752 97583304 98834372 100289696 104885456 105089712 106437016 109905432 112953568 113847188 114272394 122228067 130111072 131630226 133317793 137662161 141755628 146540576 148251558 150434544 152363192 153568597 157328184 159655524 162006432 162970756 165381566 169430352 170770782 172960151 175506968 182463456 183549548 189007504 195166608 197668744 209770912 210179424 212874032 219810864 227694376 228544788 244456134 247590187 248072349 263260452 266635586 275324322 283511256 285198823 296503116 300869088 304726384 307137194 314656368 319311048 321211709 325941512 330763132 338860704 341541564 345920302 351013936 367099096 378015008 390333216 395337488 399953379 425748064 439621728 455388752 457089576 460705791 488912268 495180374 496144698 518880453 526520904 533271172 550648644 567022512 570397646 593006232 609452768 614274388 629312736 638622096 642423418 651883024 661526264 683083128 691840604 702027872 734198192 742770561 790674976 799906758 855596469 910777504 914179152 921411582 933224551 963635127 977824536 990360748 992289396 1037760906 1053041808 1066542344 1074980179 1101297288 1134045024 1140795292 1186012464 1228548776 1277244192 1284846836 1303766048 1323052528 1366166256 1383681208 1468396384 1485541122 1599813516 1711192938 1733131309 1828358304 1842823164 1866449102 1927270254 1955649072 1980721496 1984578792 1996391761 2075521812 2106083616 2133084688 2149960358 2202594576 2248481963 2281590584 2372024928 2457097552 2569693672 2646105056 2732332512 2767362416 2799673653 2971082244 3199627032 3218672431 3224940537 3422385876 3466262618 3685646328 3732898204 3854540508 3911298144 3961442992 3969157584 3992783522 4151043624 4266169376 4299920716 4405189152 4496963926 4563181168 4914195104 5139387344 5199393927 5534724832 5599347306 5942164488 5989175283 6399254064 6437344862 6449881074 6532571857 6745445889 6844771752 6932525236 7371292656 7465796408 7709081016 7922885984 7938315168 7985567044 8302087248 8599841432 8993927852 9126362336 9656017293 10278774688 10398787854 11198694612 11884328976 11978350566 12131919163 12798508128 12874689724 12899762148 13065143714 13490891778 13689543504 13865050472 13974742327 14742585312 14931592816 15418162032 15971134088 16604174496 17199682864 17987855704 19312034586 19597715571 20797575708 22397389224 22530707017 23768657952 23956701132 24263838326 25749379448 25799524296 26130287428 26981783556 27379087008 27730100944 27949484654 29863185632 30836324064 31942268176 34399365728 35975711408 36395757489 38624069172 39195431142 41595151416 41924226981 44794778448 45061414034 47913402264 48527676652 51498758896 51599048592 52260574856 53963567112 55460201888 55898969308 63884536352 67592121051 71951422816 72791514978 77248138344 78390862284 83190302832 83848453962 84923434141 89589556896 90122828068 95826804528 97055353304 102997517792 103198097184 104521149712 107927134224 111797938616 135184242102 145583029956 154496276688 156781724568 157714949119 166380605664 167696907924 169846868282 180245656136 191653609056 194110706608 209042299424 215854268448 223595877232 254770302423 270368484204 291166059912 308992553376 313563449136 315429898238 335393815848 339693736564 360491312272 388221413216 447191754464 473144847357 509540604846 540736968408 582332119824 627126898272 630859796476 670787631696 679387473128 720982624544 946289694714 1019081209692 1081473936816 1104004643833 1164664239648 1261719592952 1341575263392 1358774946256 1892579389428 2038162419384 2162947873632 2208009287666 2523439185904 2717549892512 3312013931499 3785158778856 4076324838768 4416018575332 5046878371808 6624027862998 7570317557712 8152649677536 8832037150664 13248055725996 15140635115424 17664074301328 26496111451992 35328148602656 52992222903984 105984445807968
- Sum of all divisors σ(n): 356492174976000
- Sum of proper divisors (its aliquot sum) s(n): 250507729168032
- 105984445807968 is an abundant number, because the sum of its proper divisors (250507729168032) is greater than itself. Its abundance is 144523283360064
Bases of 105984445807968
- Binary: 110000001100100011011010011111001111101011000002
- Hexadecimal: 0x60646D3E7D60
- Base-36: 11KGKYLHEO
Squares and roots of 105984445807968
- 105984445807968 squared (1059844458079682) is 11232702753222105768332289024
- 105984445807968 cubed (1059844458079683) is 1190491776225881219703354581216134578143232
-
The
square root of 105984445807968 is 10294874.7349333007 -
The
cube root of 105984445807968 is 47323.9199513995
Scales and comparisons
How big is 105984445807968?- 105,984,445,807,968 seconds is equal to 3,369,977 years, 28 weeks, 2 days, 11 hours, 32 minutes, 48 seconds.
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To count from 1 to 105,984,445,807,968 would take you about eight million, four hundred twenty-four thousand, nine hundred forty-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 105984445807968 cubic inches would be around 3943.7 feet tall.
Recreational maths with 105984445807968
- 105984445807968 backwards is 869708544489501
- 105984445807968 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 105984445807968's digits is 78
- More coming soon!
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The information we have on file for 105984445807968 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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