48314312870400

Names of 48314312870400

• Cardinal: 48314312870400 can be written as Forty-eight trillion, three hundred fourteen billion, three hundred twelve million, eight hundred seventy thousand, four hundred.

Scientific notation

• Scientific notation: 4.83143128704 × 10¹³

Factors of 48314312870400

• Number of distinct prime factors ω(n): 4
• Total number of prime factors Ω(n): 20
• Sum of prime factors: 183

Divisors of 48314312870400

• Number of divisors d(n): 840
• Complete list of divisors:
  1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 25 27 30 32 36 40 45 48 50 54 60 64 72 75 80 81 90 96 100 108 120 128 135 144 150 160 162 173 180 192 200 216 225 240 243 256 270 288 300 320 324 346 360 384 400 405 432 450 480 486 512 519 540 576 600 640 648 675 692 720 729 768 800 810 864 865 900 960 972 1038 1080 1152 1200 1215 1280 1296 1350 1384 1440 1458 1536 1557 1600 1620 1728 1730 1800 1920 1944 2025 2076 2160 2304 2400 2430 2560 2592 2595 2700 2768 2880 2916 3114 3200 3240 3456 3460 3600 3645 3840 3888 4050 4152 4320 4325 4608 4671 4800 4860 5184 5190 5400 5536 5760 5832 6075 6228 6400 6480 6912 6920 7200 7290 7680 7776 7785 8100 8304 8640 8650 9342 9600 9720 10368 10380 10800 11072 11520 11664 12150 12456 12800 12960 12975 13824 13840 14013 14400 14580 15552 15570 16200 16608 17280 17300 18225 18684 19200 19440 20736 20760 21600 22144 23040 23328 23355 24300 24912 25920 25950 27680 28026 28800 29160 29929 31104 31140 32400 33216 34560 34600 36450 37368 38400 38880 38925 41472 41520 42039 43200 44288 46656 46710 48600 49824 51840 51900 55360 56052 57600 58320 59858 62208 62280 64800 66432 69120 69200 70065 72900 74736 77760 77850 83040 84078 86400 88576 89787 93312 93420 97200 99648 103680 103800 110720 112104 115200 116640 116775 119716 124416 124560 126117 129600 132864 138400 140130 145800 149472 149645 155520 155700 166080 168156 172800 179574 186624 186840 194400 199296 207360 207600 210195 221440 224208 233280 233550 239432 249120 252234 259200 265728 269361 276800 280260 291600 298944 299290 311040 311400 332160 336312 345600 350325 359148 373248 373680 388800 398592 415200 420390 442880 448416 448935 466560 467100 478864 498240 504468 518400 538722 553600 560520 583200 597888 598580 622080 622800 630585 664320 672624 700650 718296 747360 748225 777600 797184 808083 830400 840780 896832 897870 933120 934200 957728 996480 1008936 1036800 1050975 1077444 1107200 1121040 1166400 1195776 1197160 1245600 1261170 1328640 1345248 1346805 1401300 1436592 1494720 1496450 1555200 1616166 1660800 1681560 1793664 1795740 1866240 1868400 1915456 1992960 2017872 2101950 2154888 2214400 2242080 2244675 2332800 2391552 2394320 2424249 2491200 2522340 2690496 2693610 2802600 2873184 2989440 2992900 3110400 3152925 3232332 3321600 3363120 3587328 3591480 3736800 3830912 3985920 4035744 4040415 4203900 4309776 4484160 4489350 4665600 4788640 4848498 4982400 5044680 5177717 5380992 5387220 5605200 5746368 5978880 5985800 6305850 6464664 6643200 6726240 6734025 7174656 7182960 7272747 7473600 7661824 8071488 8080830 8407800 8619552 8968320 8978700 9331200 9577280 9696996 9964800 10089360 10355434 10761984 10774440 11210400 11492736 11957760 11971600 12121245 12611700 12929328 13452480 13468050 14365920 14545494 14947200 15323648 15533151 16142976 16161660 16815600 17239104 17936640 17957400 19154560 19393992 19929600 20178720 20202075 20710868 21523968 21548880 21818241 22420800 22985472 23943200 24242490 25223400 25858656 25888585 26904960 26936100 28731840 29090988 29894400 31066302 32285952 32323320 33631200 34478208 35873280 35914800 36363735 38309120 38787984 40357440 40404150 41421736 43097760 43636482 44841600 45970944 46599453 47886400 48484980 50446800 51717312 51777170 53809920 53872200 57463680 58181976 59788800 60606225 62132604 64571904 64646640 67262400 68956416 71829600 72727470 76618240 77575968 77665755 80714880 80808300 82843472 86195520 87272964 89683200 93198906 95772800 96969960 100893600 103434624 103554340 107619840 107744400 109091205 114927360 116363952 121212450 124265208 129293280 129442925 134524800 137912832 139798359 143659200 145454940 155151936 155331510 161429760 161616600 165686944 172391040 174545928 179366400 181818675 186397812 191545600 193939920 201787200 206869248 207108680 215488800 218182410 229854720 232727904 232997265 242424900 248530416 258586560 258885850 269049600 279596718 287318400 290909880 310303872 310663020 322859520 323233200 331373888 344782080 349091856 363637350 372795624 383091200 387879840 388328775 403574400 413738496 414217360 419395077 430977600 436364820 465455808 465994530 484849800 497060832 517173120 517771700 538099200 545456025 559193436 574636800 581819760 620607744 621326040 646466400 662747776 689564160 698183712 698991795 727274700 745591248 775759680 776657550 807148800 828434720 838790154 861955200 872729640 930911616 931989060 969699600 994121664 1034346240 1035543400 1090912050 1118386872 1149273600 1163639520 1164986325 1241215488 1242652080 1258185231 1292932800 1325495552 1396367424 1397983590 1454549400 1491182496 1551519360 1553315100 1614297600 1656869440 1677580308 1723910400 1745459280 1861823232 1863978120 1939399200 1988243328 2068692480 2071086800 2096975385 2181824100 2236773744 2327279040 2329972650 2485304160 2516370462 2585865600 2650991104 2792734848 2795967180 2909098800 2982364992 3103038720 3106630200 3313738880 3355160616 3447820800 3490918560 3494958975 3723646464 3727956240 3774555693 3878798400 3976486656 4142173600 4193950770 4363648200 4473547488 4654558080 4659945300 4970608320 5032740924 5171731200 5585469696 5591934360 5818197600 5964729984 6206077440 6213260400 6290926155 6627477760 6710321232 6981837120 6989917950 7455912480 7549111386 7757596800 7952973312 8284347200 8387901540 8727296400 8947094976 9309116160 9319890600 9941216640 10065481848 10343462400 10484876925 11170939392 11183868720 11636395200 11929459968 12426520800 12581852310 13254955520 13420642464 13963674240 13979835900 14911824960 15098222772 15515193600 16568694400 16775803080 17454592800 17894189952 18618232320 18639781200 18872778465 19882433280 20130963696 20969753850 22367737440 23272790400 23858919936 24853041600 25163704620 26841284928 27927348480 27959671800 29823649920 30196445544 31030387200 31454630775 33137388800 33551606160 34909185600 35788379904 37279562400 37745556930 39764866560 40261927392 41939507700 44735474880 46545580800 49706083200 50327409240 53682569856 55854696960 55919343600 59647299840 60392891088 62909261550 66274777600 67103212320 69818371200 71576759808 74559124800 75491113860 80523854784 83879015400 89470949760 93091161600 94363892325 99412166400 100654818480 107365139712 111838687200 119294599680 120785782176 125818523100 134206424640 139636742400 149118249600 150982227720 161047709568 167758030800 178941899520 188727784650 198824332800 201309636960 214730279424 223677374400 241571564352 251637046200 268412849280 279273484800 298236499200 301964455440 322095419136 335516061600 357883799040 377455569300 402619273920 447354748800 483143128704 503274092400 536825698560 596472998400 603928910880 644190838272 671032123200 754911138600 805238547840 894709497600 966286257408 1006548184800 1073651397120 1207857821760 1342064246400 1509822277200 1610477095680 1789418995200 1932572514816 2013096369600 2415715643520 2684128492800 3019644554400 3220954191360 4026192739200 4831431287040 5368256985600 6039289108800 8052385478400 9662862574080 12078578217600 16104770956800 24157156435200 48314312870400
• Sum of all divisors σ(n): 180515066056380
• Sum of proper divisors (its aliquot sum) s(n): 132200753185980
• 48314312870400 is an abundant number, because the sum of its proper divisors (132200753185980) is greater than itself. Its abundance is 83886440315580

Bases of 48314312870400

• Binary: 1010111111000100001101011101001100101000000000₂
• Hexadecimal: 0x2BF10D74CA00
• Base-36: H4JAEG000

Squares and roots of 48314312870400

• 48314312870400 squared (48314312870400²) is 2334272828138899087196160000
• 48314312870400 cubed (48314312870400³) is 112778787743576219447408244937457664000000
• The square root of 48314312870400 is 6950849.7948380383
• The cube root of 48314312870400 is 36421.5649471795

Scales and comparisons

• 48,314,312,870,400 seconds is equal to 1,536,245 years, 36 weeks, 4 days.
• To count from 1 to 48,314,312,870,400 would take you about three million, eight hundred forty thousand, six hundred fourteen 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 48314312870400 cubic inches would be around 3035.1 feet tall.

Recreational maths with 48314312870400

• 48314312870400 backwards is 00407821341384
• 48314312870400 is a Harshad number.
• The number of decimal digits it has is: 14
• The sum of 48314312870400's digits is 45
• More coming soon!