84385172443968
84,385,172,443,968 is an even composite number composed of six prime numbers multiplied together.
84385172443968 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one thousand and eight divisors.
Prime factorization of 84385172443968:
26 × 33 × 11 × 192 × 61 × 4492
(2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 11 × 19 × 19 × 61 × 449 × 449)See below for interesting mathematical facts about the number 84385172443968 from the Numbermatics database.
Names of 84385172443968
- Cardinal: 84385172443968 can be written as Eighty-four trillion, three hundred eighty-five billion, one hundred seventy-two million, four hundred forty-three thousand, nine hundred sixty-eight.
Scientific notation
- Scientific notation: 8.4385172443968 × 1013
Factors of 84385172443968
Divisors of 84385172443968
- Number of divisors d(n): 1008
-
Complete list of divisors:
1 2 3 4 6 8 9 11 12 16 18 19 22 24 27 32 33 36 38 44 48 54 57 61 64 66 72 76 88 96 99 108 114 122 132 144 152 171 176 183 192 198 209 216 228 244 264 288 297 304 342 352 361 366 396 418 432 449 456 488 513 528 549 576 594 608 627 671 684 704 722 732 792 836 864 898 912 976 1026 1056 1083 1098 1159 1188 1216 1254 1342 1347 1368 1444 1464 1584 1647 1672 1728 1796 1824 1881 1952 2013 2052 2112 2166 2196 2318 2376 2508 2684 2694 2736 2888 2928 3168 3249 3294 3344 3477 3592 3648 3762 3904 3971 4026 4041 4104 4332 4392 4636 4752 4939 5016 5368 5388 5472 5643 5776 5856 6039 6336 6498 6588 6688 6954 7184 7524 7942 8052 8082 8208 8531 8664 8784 9272 9504 9747 9878 10032 10431 10736 10776 10944 11286 11552 11712 11913 12078 12123 12749 12996 13176 13376 13908 14368 14817 15048 15884 16104 16164 16416 17062 17328 17568 18117 18544 19008 19494 19756 20064 20862 21472 21552 22021 22572 23104 23826 24156 24246 25498 25593 25992 26352 27389 27816 28736 29634 30096 31293 31768 32208 32328 32832 34124 34656 35136 35739 36234 37088 38247 38988 39512 40128 41724 42944 43104 44042 44451 45144 47652 48312 48492 50996 51186 51984 52704 54778 55632 59268 60192 62586 63536 64416 64656 66063 68248 69312 71478 72468 74176 76494 76779 77976 79024 82167 83448 86208 88084 88902 90288 93841 95304 96624 96984 101992 102372 103968 105408 107217 109556 111264 114741 118536 120384 125172 127072 128832 129312 132126 133353 136496 142956 144936 152988 153558 155952 158048 162089 164334 166896 176168 177804 180576 187682 190608 193248 193968 198189 201601 203984 204744 207936 214434 219112 222528 229482 230337 237072 242231 246501 250344 254144 258624 264252 266706 272992 281523 285912 289872 301279 305976 307116 311904 316096 324178 328668 333792 344223 352336 355608 361152 375364 381216 386496 387936 396378 403202 407968 409488 428868 438224 458964 460674 474144 484462 486267 493002 500688 520391 528504 533412 545984 563046 571824 579744 594567 602558 604803 611952 614232 623808 648356 657336 667584 688446 704672 711216 726693 739503 750728 762432 775872 792756 806404 815936 818976 844569 857736 876448 903837 917928 921348 948288 968924 972534 986004 1001376 1040782 1057008 1066824 1126092 1143648 1159488 1189134 1205116 1209606 1223904 1228464 1296712 1314672 1376892 1409344 1422432 1453386 1458801 1479006 1501456 1561173 1585512 1612808 1637952 1689138 1715472 1752896 1782979 1807674 1814409 1835856 1842696 1937848 1945068 1972008 2002752 2081564 2114016 2133648 2180079 2217611 2252184 2287296 2378268 2410232 2419212 2447808 2456928 2533707 2593424 2629344 2711511 2753784 2844864 2906772 2917602 2958012 3002912 3122346 3171024 3225616 3378276 3430944 3565958 3615348 3628818 3671712 3685392 3830419 3875696 3890136 3944016 4163128 4228032 4267296 4360158 4376403 4435222 4504368 4683519 4756536 4820464 4838424 4913856 5067414 5186848 5258688 5348937 5423022 5443227 5507568 5724301 5813544 5835204 5916024 6005824 6244692 6342048 6451232 6540237 6652833 6756552 6861888 7131916 7230696 7257636 7343424 7370784 7660838 7751392 7780272 7888032 8134533 8326256 8534592 8720316 8752806 8870444 9008736 9367038 9513072 9640928 9676848 9887429 10134828 10373696 10697874 10846044 10886454 11015136 11448602 11491257 11627088 11670408 11832048 12297661 12489384 12684096 12902464 13080474 13305666 13513104 14050557 14263832 14461392 14515272 14741568 15321676 15502784 15560544 15776064 16046811 16269066 16652512 17172903 17440632 17505612 17740888 18017472 18734076 19026144 19281856 19353696 19774858 19958499 20269656 21395748 21692088 21772908 22030272 22897204 22982514 23254176 23340816 23664096 24595322 24978768 26160948 26611332 27026208 28101114 28527664 28922784 29030544 29662287 30643352 31121088 32093622 32538132 33305024 34345806 34473771 34881264 35011224 35481776 36892983 37468152 38052288 38707392 39549716 39916998 40539312 42134609 42791496 43384176 43545816 45794408 45965028 46508352 46681632 47328192 48140433 49190644 49957536 51518709 52321896 53222664 54052416 56202228 57055328 57845568 58061088 59324574 59875497 61286704 64187244 65076264 68691612 68947542 69762528 70022448 70963552 72777961 73785966 74936304 79099432 79833996 81078624 84269218 85582992 86768352 87091632 88986861 91588816 91930056 93363264 96280866 98381288 99915072 103037418 103421313 104643792 106445328 108761719 110678949 112404456 114110656 116122176 118649148 119750994 122573408 126403827 128374488 130152528 135274271 137383224 137895084 139525056 140044896 141927104 145555922 147571932 149872608 154556127 158198864 159667992 162157248 168538436 171165984 173536704 174183264 177973722 183177632 183860112 192561732 196762576 206074836 206842626 209287584 212890656 217523438 218333883 221357898 224808912 233655559 237298296 239501988 245146816 252807654 256748976 260305056 266960583 270548542 274766448 275790168 280089792 291111844 295143864 299745216 309112254 316397728 319335984 326285157 332036847 337076872 342331968 348366528 355947444 366355264 367720224 379211481 385123464 393525152 405822813 412149672 413685252 418575168 425781312 435046876 436667766 442715796 449617824 467311118 474596592 479003976 505615308 513497952 520610112 533921166 541097084 549532896 551580336 582223688 590287728 618224508 632795456 638671968 652570314 655001649 664073694 674153744 700966677 711894888 735440448 758422962 770246928 787050304 800557571 811645626 824299344 827370504 870093752 873335532 885431592 899235648 934622236 949193184 958007952 978855471 1011230616 1026995904 1067842332 1082194168 1099065792 1103160672 1137634443 1164447376 1180575456 1217468439 1236449016 1277343936 1305140628 1310003298 1328147388 1348307488 1401933354 1423789776 1516845924 1540493856 1601115142 1623291252 1648598688 1654741008 1740187504 1746671064 1770863184 1869244472 1898386368 1916015904 1957710942 1965004947 2022461232 2102900031 2135684664 2164388336 2206321344 2275268886 2328894752 2361150912 2401672713 2434936878 2472898032 2570211149 2610281256 2620006596 2656294776 2696614976 2803866708 2847579552 2936566413 3033691848 3080987712 3202230284 3246582504 3297197376 3309482016 3480375008 3493342128 3541726368 3652405317 3738488944 3832031808 3915421884 3930009894 4044922464 4205800062 4271369328 4328776672 4439455621 4550537772 4657789504 4803345426 4869873756 4945796064 5140422298 5220562512 5240013192 5312589552 5607733416 5695159104 5873132826 6067383696 6308700093 6404460568 6493165008 6618964032 6960750016 6986684256 7083452736 7205018139 7304810634 7476977888 7710633447 7830843768 7860019788 8089844928 8411600124 8542738656 8657553344 8878911242 9101075544 9606690852 9739747512 9891592128 10280844596 10441125024 10480026384 10625179104 11215466832 11746265652 12134767392 12617400186 12808921136 12986330016 13318366863 13973368512 14410036278 14609621268 14953955776 15421266894 15661687536 15720039576 16823200248 17085477312 17757822484 18202151088 19213381704 19479495024 20561689192 20882250048 20960052768 21250358208 21615054417 22430933664 23131900341 23492531304 24269534784 25234800372 25617842272 25972660032 26636733726 28820072556 29219242536 30842533788 31323375072 31440079152 33646400496 35515644968 36404302176 38426763408 38958990048 39955100589 41123378384 41920105536 43230108834 44861867328 46263800682 46985062608 48834011831 50469600744 51235684544 53273467452 57640145112 58438485072 61685067576 62646750144 62880158304 67292800992 69395701023 71031289936 72808604352 76853526816 77917980096 79910201178 82246756768 86460217668 92527601364 93970125216 97668023662 100939201488 106546934904 115280290224 116876970144 119865301767 123370135152 125760316608 134585601984 138791402046 142062579872 146502035493 153707053632 159820402356 164493513536 172920435336 185055202728 187940250432 195336047324 201878402976 213093869808 230560580448 233753940288 239730603534 246740270304 277582804092 284125159744 293004070986 319640804712 345840870672 370110405456 390672094648 403756805952 426187739616 439506106479 461121160896 479461207068 493480540608 555165608184 586008141972 639281609424 691681741344 740220810912 781344189296 852375479232 879012212958 958922414136 1110331216368 1172016283944 1278563218848 1318518319437 1383363482688 1480441621824 1562688378592 1758024425916 1917844828272 2220662432736 2344032567888 2557126437696 2637036638874 3125376757184 3516048851832 3835689656544 4441324865472 4688065135776 5274073277748 7032097703664 7671379313088 9376130271552 10548146555496 14064195407328 21096293110992 28128390814656 42192586221984 84385172443968
- Sum of all divisors σ(n): 290952858093120
- Sum of proper divisors (its aliquot sum) s(n): 206567685649152
- 84385172443968 is an abundant number, because the sum of its proper divisors (206567685649152) is greater than itself. Its abundance is 122182513205184
Bases of 84385172443968
- Binary: 100110010111111011101000011101001010011010000002
- Hexadecimal: 0x4CBF743A5340
- Base-36: TWU0GWUO0
Squares and roots of 84385172443968
- 84385172443968 squared (843851724439682) is 7120857328398216282099585024
- 84385172443968 cubed (843851724439683) is 600894773605776751832473289710052691935232
-
The
square root of 84385172443968 is 9186140.2364631905 -
The
cube root of 84385172443968 is 43862.0286338645
Scales and comparisons
How big is 84385172443968?- 84,385,172,443,968 seconds is equal to 2,683,187 years, 24 weeks, 14 hours, 52 minutes, 48 seconds.
-
To count from 1 to 84,385,172,443,968 would take you about six million, seven hundred seven thousand, nine hundred sixty-eight 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 84385172443968 cubic inches would be around 3655.2 feet tall.
Recreational maths with 84385172443968
- 84385172443968 backwards is 86934427158348
- 84385172443968 is a
Harshad number . - The number of decimal digits it has is: 14
- The sum of 84385172443968's digits is 72
- More coming soon!
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The information we have on file for 84385172443968 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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