13827388614144
13,827,388,614,144 is an even composite number composed of seven prime numbers multiplied together.
13827388614144 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of nine hundred sixty divisors.
Prime factorization of 13827388614144:
29 × 3 × 7 × 17 × 292 × 293 × 307
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 7 × 17 × 29 × 29 × 293 × 307)See below for interesting mathematical facts about the number 13827388614144 from the Numbermatics database.
Names of 13827388614144
- Cardinal: 13827388614144 can be written as Thirteen trillion, eight hundred twenty-seven billion, three hundred eighty-eight million, six hundred fourteen thousand, one hundred forty-four.
Scientific notation
- Scientific notation: 1.3827388614144 × 1013
Factors of 13827388614144
Divisors of 13827388614144
- Number of divisors d(n): 960
-
Complete list of divisors:
1 2 3 4 6 7 8 12 14 16 17 21 24 28 29 32 34 42 48 51 56 58 64 68 84 87 96 102 112 116 119 128 136 168 174 192 203 204 224 232 238 256 272 293 307 336 348 357 384 406 408 448 464 476 493 512 544 586 609 614 672 696 714 768 812 816 841 879 896 921 928 952 986 1088 1172 1218 1228 1344 1392 1428 1479 1536 1624 1632 1682 1758 1792 1842 1856 1904 1972 2051 2149 2176 2344 2436 2456 2523 2688 2784 2856 2958 3248 3264 3364 3451 3516 3584 3684 3712 3808 3944 4102 4298 4352 4688 4872 4912 4981 5046 5219 5376 5568 5712 5887 5916 6153 6447 6496 6528 6728 6902 7032 7368 7424 7616 7888 8204 8497 8596 8704 8903 9376 9744 9824 9962 10092 10353 10438 10752 11136 11424 11774 11832 12306 12894 12992 13056 13456 13804 14064 14297 14736 14848 14943 15232 15657 15776 16408 16994 17192 17661 17806 18752 19488 19648 19924 20184 20706 20876 22272 22848 23548 23664 24612 25491 25788 25984 26112 26709 26912 27608 28128 28594 29472 29886 30464 31314 31552 32816 33988 34384 34867 35322 35612 36533 37504 38976 39296 39848 40368 41412 41752 42891 44544 45696 47096 47328 49224 50982 51576 51968 53418 53824 55216 56256 57188 58944 59479 59772 60928 62321 62628 63104 65632 67976 68768 69734 70644 71224 73066 75008 77952 78592 79696 80736 82824 83504 85782 89951 91392 94192 94656 98448 100079 101964 103152 103936 104601 106836 107648 109599 110432 112512 114376 117888 118958 119544 124642 125256 126208 131264 135952 137536 139468 141288 142448 144449 146132 150016 151351 155904 157184 159392 161472 165648 167008 171564 178437 179902 182784 186963 188384 189312 196896 200158 203928 206304 209202 213672 215296 219198 220864 225024 228752 235776 237916 239088 246413 249284 250512 252416 258187 262528 269853 271904 275072 278936 282576 284896 288898 292264 300237 302702 311808 318784 322944 331296 334016 343128 356874 359804 373926 376768 378624 393792 400316 407856 412608 418404 427344 430592 433347 438396 441728 450048 454053 457504 471552 475832 478176 492826 498568 501024 516374 525056 539706 543808 550144 557872 565152 569792 577796 584528 600474 605404 629657 637568 645888 662592 668032 686256 713748 719608 739239 747852 753536 757248 774561 787584 800632 815712 825216 836808 854688 866694 876792 883456 908106 915008 951664 956352 985652 997136 1002048 1011143 1032748 1050112 1059457 1079412 1087616 1100288 1115744 1130304 1139584 1155592 1169056 1200948 1210808 1259314 1275136 1291776 1325184 1336064 1372512 1427496 1439216 1478478 1495704 1507072 1529167 1549122 1575168 1601264 1631424 1650432 1673616 1709376 1724891 1733388 1753584 1766912 1807309 1816212 1830016 1888971 1903328 1912704 1971304 1994272 2004096 2022286 2065496 2118914 2158824 2175232 2231488 2260608 2279168 2311184 2338112 2401896 2421616 2518628 2550272 2608579 2650368 2672128 2745024 2854992 2878432 2956956 2991408 3014144 3033429 3058334 3098244 3150336 3178371 3202528 3262848 3300864 3347232 3418752 3449782 3466776 3507168 3614618 3632424 3660032 3777942 3806656 3825408 3942608 3988544 4008192 4044572 4130992 4189021 4237828 4317648 4350464 4389179 4462976 4521216 4558336 4587501 4622368 4676224 4803792 4843232 5037256 5174673 5217158 5300736 5421927 5490048 5709984 5756864 5913912 5982816 6066858 6116668 6196488 6356742 6405056 6525696 6694464 6837504 6899564 6933552 7014336 7229236 7264848 7320064 7555884 7613312 7650816 7825737 7885216 7977088 8016384 8089144 8261984 8378042 8475656 8635296 8778358 8925952 9042432 9175002 9244736 9352448 9607584 9686464 10074512 10349346 10434316 10704169 10843854 10980096 11419968 11513728 11827824 11965632 12133716 12233336 12392976 12567063 12713484 12810112 13051392 13167537 13388928 13675008 13799128 13867104 14028672 14458472 14529696 15111768 15226624 15651474 15770432 15954176 16178288 16523968 16756084 16951312 17270592 17556716 17851904 18260053 18350004 18489472 18704896 19215168 19372928 20149024 20698692 20868632 21408338 21687708 21960192 22839936 23027456 23655648 23931264 24267432 24466672 24785952 25134126 25426968 25620224 26335074 26777856 27598256 27734208 28057344 28916944 29059392 29323147 30223536 30453248 30724253 31302948 31540864 31908352 32112507 32356576 33047936 33512168 33902624 34541184 35113432 36520106 36700008 36978944 38430336 38745856 40298048 41397384 41737264 42816676 43375416 44345843 45679872 46054912 47311296 47862528 48534864 48933344 49571904 50268252 50853936 51240448 52670148 53555712 54780159 55196512 55468416 56114688 57833888 58118784 58646294 60447072 61448506 62605896 63081728 64225014 64713152 66095872 67024336 67805248 69082368 70226864 73040212 73400016 73957888 75648791 76860672 77491712 80596096 82794768 83474528 85633352 86750832 87969441 88691686 91359744 92172759 94622592 95725056 97069728 97866688 99143808 100536504 101707872 105340296 109560318 110393024 110936832 115667776 116237568 117292588 120894144 122897012 125211792 126163456 128450028 129426304 132191744 133037529 134048672 135610496 138164736 140453728 146080424 146800032 151297582 153721344 161192192 165589536 166949056 171266704 173501664 175938882 177383372 184345518 189245184 194139456 195733376 198287616 201073008 203415744 210680592 219120636 220786048 221873664 226946373 231335552 232475136 234585176 241788288 245794024 250423584 256900056 258852608 266075058 268097344 271220992 280907456 292160848 293600064 302595164 310420901 322384384 331179072 333898112 342533408 347003328 351877764 354766744 368691036 378490368 388278912 391466752 396575232 402146016 406831488 421361184 438241272 441572096 453892746 462671104 469170352 483576576 491588048 500847168 513800112 517705216 529541537 532150116 536194688 542441984 561814912 584321696 587200128 605190328 620841802 662358144 667796224 685066816 694006656 703755528 709533488 737382072 776557824 782933504 804292032 813662976 842722368 876482544 883144192 907785492 925342208 931262703 938340704 967153152 983176096 1001694336 1027600224 1059083074 1064300232 1072389376 1123629824 1168643392 1174400256 1210380656 1241683604 1286029447 1324716288 1335592448 1370133632 1388013312 1407511056 1419066976 1474764144 1553115648 1588624611 1608584064 1627325952 1685444736 1752965088 1815570984 1862525406 1876681408 1966352192 2003388672 2055200448 2118166148 2128600464 2144778752 2247259648 2337286784 2348800512 2420761312 2483367208 2572058894 2649432576 2740267264 2776026624 2815022112 2838133952 2949528288 3177249222 3217168128 3370889472 3505930176 3631141968 3725050812 3753362816 3858088341 3932704384 4006777344 4110400896 4236332296 4257200928 4674573568 4841522624 4966734416 5144117788 5480534528 5630044224 5676267904 5899056576 6354498444 6434336256 6741778944 7011860352 7262283936 7450101624 7506725632 7716176682 7865408768 8220801792 8472664592 8514401856 9002206129 9349147136 9683045248 9933468832 10288235576 11260088448 11352535808 11798113152 12708996888 14023720704 14524567872 14900203248 15013451264 15432353364 15730817536 16441603584 16945329184 17028803712 18004412258 19366090496 19866937664 20576471152 22520176896 22705071616 23596226304 25417993776 27006618387 28047441408 29049135744 29800406496 30864706728 33890658368 34057607424 36008824516 38732180992 39733875328 41152942304 45040353792 47192452608 50835987552 54013236774 58098271488 59600812992 61729413456 67781316736 68115214848 72017649032 79467750656 82305884608 101671975104 108026473548 116196542976 119201625984 123458826912 135562633472 144035298064 158935501312 164611769216 203343950208 216052947096 238403251968 246917653824 271125266944 288070596128 329223538432 406687900416 432105894192 476806503936 493835307648 576141192256 658447076864 813375800832 864211788384 987670615296 1152282384512 1728423576768 1975341230592 2304564769024 3456847153536 4609129538048 6913694307072 13827388614144
- Sum of all divisors σ(n): 46474456444416
- Sum of proper divisors (its aliquot sum) s(n): 32647067830272
- 13827388614144 is an abundant number, because the sum of its proper divisors (32647067830272) is greater than itself. Its abundance is 18819679216128
Bases of 13827388614144
- Binary: 110010010011011100001001011000100110000000002
- Hexadecimal: 0xC9370962600
- Base-36: 4WG7Q622O
Squares and roots of 13827388614144
- 13827388614144 squared (138273886141442) is 191196675886559128916852736
- 13827388614144 cubed (138273886141443) is 2643750739215988376150312189045174697984
-
The
square root of 13827388614144 is 3718519.6804836195 -
The
cube root of 13827388614144 is 24001.9608433465
Scales and comparisons
How big is 13827388614144?- 13,827,388,614,144 seconds is equal to 439,668 years, 9 weeks, 5 days, 1 hour, 42 minutes, 24 seconds.
-
To count from 1 to 13,827,388,614,144 would take you about one million, ninety-nine thousand, one hundred seventy 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 13827388614144 cubic inches would be around 2000.2 feet tall.
Recreational maths with 13827388614144
- 13827388614144 backwards is 44141688372831
- The number of decimal digits it has is: 14
- The sum of 13827388614144's digits is 60
- More coming soon!
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The information we have on file for 13827388614144 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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