13827314708480

Names of 13827314708480

• Cardinal: 13827314708480 can be written as Thirteen trillion, eight hundred twenty-seven billion, three hundred fourteen million, seven hundred eight thousand, four hundred eighty.

Scientific notation

• Scientific notation: 1.382731470848 × 10¹³

Factors of 13827314708480

• Number of distinct prime factors ω(n): 7
• Total number of prime factors Ω(n): 18
• Sum of prime factors: 1370

Divisors of 13827314708480

• Number of divisors d(n): 832
• Complete list of divisors:
  1 2 4 5 7 8 10 13 14 16 17 20 26 28 32 34 35 40 52 56 64 65 68 70 80 85 91 104 112 119 128 130 136 140 160 170 182 208 221 224 238 256 260 272 280 320 340 364 416 442 448 455 476 512 520 544 560 595 607 640 680 719 728 832 884 896 910 952 1024 1040 1088 1105 1120 1190 1214 1280 1360 1438 1456 1547 1664 1768 1792 1820 1904 2048 2080 2176 2210 2240 2380 2428 2560 2720 2876 2912 3035 3094 3328 3536 3584 3595 3640 3808 4096 4160 4249 4352 4420 4480 4760 4856 5033 5120 5440 5752 5824 6070 6188 6656 7072 7168 7190 7280 7616 7735 7891 8320 8498 8704 8840 8960 9347 9520 9712 10066 10240 10319 10880 11504 11648 12140 12223 12376 13312 14144 14336 14380 14560 15232 15470 15782 16640 16996 17408 17680 17920 18694 19040 19424 20132 20480 20638 21245 21760 23008 23296 24280 24446 24752 25165 26624 28288 28672 28760 29120 30464 30940 31564 33280 33992 34816 35360 35840 37388 38080 38848 39455 40264 41276 42490 43520 46016 46592 46735 48560 48892 49504 50330 51595 53248 55237 56576 57520 58240 60928 61115 61880 63128 65429 66560 67984 69632 70720 71680 72233 74776 76160 77696 78910 80528 82552 84980 85561 87040 92032 93184 93470 97120 97784 99008 100660 103190 110474 113152 115040 116480 121856 122230 123760 126256 130858 133120 134147 135968 141440 143360 144466 149552 152320 155392 157820 158899 161056 165104 169960 171122 174080 184064 186368 186940 194240 195568 198016 201320 206380 220948 226304 230080 232960 243712 244460 247520 252512 261716 266240 268294 271936 276185 282880 288932 299104 304640 310784 315640 317798 322112 327145 330208 339920 342244 348160 361165 368128 372736 373880 388480 391136 396032 402640 412760 427805 436433 441896 452608 460160 465920 487424 488920 495040 505024 523432 536588 543872 552370 565760 577864 598208 609280 621568 631280 635596 644224 654290 660416 670735 679840 684488 722330 736256 747760 776960 782272 792064 794495 805280 825520 855610 872866 883792 905216 920320 931840 939029 977840 990080 1010048 1046864 1073176 1087744 1104740 1112293 1131520 1155728 1196416 1218560 1243136 1262560 1271192 1288448 1308580 1320832 1341470 1359680 1368976 1444660 1472512 1495520 1553920 1564544 1584128 1588990 1610560 1651040 1711220 1745732 1767584 1840640 1863680 1878058 1955680 1980160 2020096 2093728 2146352 2175488 2182165 2209480 2224586 2263040 2311456 2392832 2437120 2486272 2525120 2542384 2576896 2617160 2641664 2682940 2719360 2737952 2889320 2945024 2991040 3055031 3107840 3129088 3168256 3177980 3221120 3302080 3422440 3491464 3535168 3681280 3756116 3911360 3960320 4040192 4187456 4292704 4350976 4364330 4418960 4449172 4526080 4622912 4695145 4785664 5050240 5084768 5153792 5234320 5283328 5365880 5438720 5475904 5561465 5673629 5778640 5982080 6110062 6215680 6258176 6336512 6355960 6442240 6604160 6844880 6982928 7070336 7362560 7419361 7512232 7822720 7920640 8080384 8374912 8585408 8701952 8728660 8837920 8898344 9245824 9390290 9571328 10100480 10169536 10307584 10468640 10566656 10731760 10877440 10951808 11122930 11347258 11557280 11964160 12220124 12431360 12516352 12711920 12884480 13208320 13689760 13965856 14140672 14725120 14838722 15024464 15275155 15645440 15841280 16160768 16749824 17170816 17403904 17457320 17675840 17796688 18491648 18780580 19142656 20200960 20339072 20615168 20937280 21133312 21463520 21754880 21903616 22245860 22694516 23114560 23928320 24440248 25032704 25423840 25768960 26416640 27379520 27931712 28281344 28368145 29677444 30048928 30550310 31290880 31682560 32321536 33499648 34341632 34914640 35351680 35593376 36983296 37096805 37561160 38285312 39715403 40401920 40678144 41874560 42266624 42927040 43509760 43807232 44491720 45389032 46229120 47856640 48880496 50065408 50847680 51537920 51935527 52833280 54759040 55863424 56562688 56736290 59354888 60097856 61100620 62581760 66999296 68683264 69829280 70703360 71186752 73966592 74193610 75122320 79430806 80803840 81356288 83749120 85854080 87019520 87614464 88983440 90778064 92458240 95713280 96451693 97760992 101695360 103075840 103871054 105666560 109518080 111726848 113125376 113472580 118709776 120195712 122201240 125163520 133998592 137366528 139658560 141406720 142373504 147933184 148387220 150244640 158861612 161607680 162712576 167498240 171708160 175228928 177966880 181556128 184916480 191426560 192903386 195521984 198577015 203390720 207742108 211333120 219036160 223453696 226250752 226945160 237419552 240391424 244402480 250327040 259677635 267997184 274733056 279317120 282813440 284747008 295866368 296774440 300489280 317723224 325425152 334996480 343416320 350457856 355933760 363112256 369832960 385806772 391043968 397154030 406781440 415484216 438072320 446907392 453890320 474839104 480782848 482258465 488804960 519355270 549466112 558634240 565626880 569494016 593548880 600978560 635446448 650850304 669992960 675161851 686832640 711867520 726224512 739665920 771613544 782087936 794308060 813562880 830968432 876144640 893814784 907780640 949678208 961565696 964516930 977609920 1038710540 1117268480 1131253760 1138988032 1187097760 1201957120 1270892896 1339985920 1350323702 1373665280 1423735040 1452449024 1479331840 1543227088 1564175872 1588616120 1627125760 1661936864 1752289280 1787629568 1815561280 1899356416 1923131392 1929033860 1955219840 2077421080 2234536960 2277976064 2374195520 2403914240 2541785792 2700647404 2747330560 2847470080 2904898048 3086454176 3128351744 3177232240 3254251520 3323873728 3375809255 3631122560 3798712832 3846262784 3858067720 3910439680 4154842160 4469073920 4555952128 4748391040 4807828480 5083571584 5401294808 5694940160 5809796096 6172908352 6256703488 6354464480 6647747456 6751618510 7262245120 7597425664 7716135440 7820879360 8309684320 8938147840 9496782080 9615656960 10167143168 10802589616 11389880320 11619592192 12345816704 12513406976 12708928960 13295494912 13503237020 14524490240 15194851328 15432270880 15641758720 16619368640 18993564160 19231313920 20334286336 21605179232 22779760640 23239184384 24691633408 25417857920 26590989824 27006474040 29048980480 30389702656 30864541760 31283517440 33238737280 37987128320 40668572672 43210358464 49383266816 50835715840 53181979648 54012948080 58097960960 61729083520 62567034880 66477474560 75974256640 81337145344 86420716928 98766533632 101671431680 106363959296 108025896160 116195921920 123458167040 132954949120 151948513280 162674290688 172841433856 197533067264 203342863360 212727918592 216051792320 246916334080 265909898240 345682867712 395066134528 406685726720 432103584640 493832668160 531819796480 691365735424 813371453440 864207169280 987665336320 1063639592960 1382731470848 1728414338560 1975330672640 2765462941696 3456828677120 6913657354240 13827314708480
• Sum of all divisors σ(n): 43372532367360
• Sum of proper divisors (its aliquot sum) s(n): 29545217658880
• 13827314708480 is an abundant number, because the sum of its proper divisors (29545217658880) is greater than itself. Its abundance is 15717902950400

Bases of 13827314708480

• Binary: 11001001001101101100001011100111000000000000₂
• Hexadecimal: 0xC936C2E7000
• Base-36: 4WG6I603K

Squares and roots of 13827314708480

• 13827314708480 squared (13827314708480²) is 191194632047347347383910400
• 13827314708480 cubed (13827314708480³) is 2643708347890707552249056323218440192000
• The square root of 13827314708480 is 3718509.7429588645
• The cube root of 13827314708480 is 24001.9180807773

Scales and comparisons

• 13,827,314,708,480 seconds is equal to 439,665 years, 43 weeks, 3 days, 16 hours, 21 minutes, 20 seconds.
• To count from 1 to 13,827,314,708,480 would take you about one million, ninety-nine thousand, one hundred sixty-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 13827314708480 cubic inches would be around 2000.2 feet tall.

Recreational maths with 13827314708480

• 13827314708480 backwards is 08480741372831
• 13827314708480 is a Harshad number.
• The number of decimal digits it has is: 14
• The sum of 13827314708480's digits is 56
• More coming soon!