48213149918400

Names of 48213149918400

• Cardinal: 48213149918400 can be written as Forty-eight trillion, two hundred thirteen billion, one hundred forty-nine million, nine hundred eighteen thousand, four hundred.

Scientific notation

• Scientific notation: 4.82131499184 × 10¹³

Factors of 48213149918400

• Number of distinct prime factors ω(n): 5
• Total number of prime factors Ω(n): 14
• Sum of prime factors: 140996

Divisors of 48213149918400

• Number of divisors d(n): 504
• 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 89 90 96 100 108 120 135 144 150 160 178 180 192 200 216 225 240 267 270 288 300 320 356 360 400 432 445 450 480 534 540 576 600 675 712 720 800 801 864 890 900 960 1068 1080 1200 1335 1350 1424 1440 1600 1602 1728 1780 1800 2136 2160 2225 2400 2403 2670 2700 2848 2880 3204 3560 3600 4005 4272 4320 4450 4800 4806 5340 5400 5696 6408 6675 7120 7200 7921 8010 8544 8640 8900 9612 10680 10800 12015 12816 13350 14240 14400 15842 16020 17088 17800 19224 20025 21360 21600 23763 24030 25632 26700 28480 31684 32040 35600 38448 39605 40050 42720 43200 47526 48060 51264 53400 60075 63368 64080 71200 71289 76896 79210 80100 85440 95052 96120 106800 118815 120150 126736 128160 140897 142400 142578 153792 158420 160200 190104 192240 198025 213600 213867 237630 240300 253472 256320 281794 285156 316840 320400 356445 380208 384480 396050 422691 427200 427734 475260 480600 506944 563588 570312 594075 633680 640800 704485 712890 760416 768960 792100 845382 855468 950520 961200 1069335 1127176 1140624 1188150 1267360 1268073 1281600 1408970 1425780 1520832 1584200 1690764 1710936 1782225 1901040 1922400 2113455 2138670 2254352 2281248 2376300 2534720 2536146 2817940 2851560 3168400 3381528 3421872 3522425 3564450 3802080 3804219 3844800 4226910 4277340 4508704 4562496 4752600 5072292 5346675 5635880 5703120 6336800 6340365 6763056 6843744 7044850 7128900 7604160 7608438 8453820 8554680 9017408 9505200 10144584 10567275 10693350 11271760 11406240 12539833 12673600 12680730 13526112 13687488 14089700 14257800 15216876 16907640 17109360 19010400 19021095 20289168 21134550 21386700 22543520 22812480 25079666 25361460 27052224 28179400 28515600 30433752 31701825 33815280 34218720 37619499 38020800 38042190 40578336 42269100 42773400 45087040 50159332 50722920 56358800 57031200 60867504 62699165 63403650 67630560 68437440 75238998 76084380 81156672 84538200 85546800 95105475 100318664 101445840 112717600 112858497 114062400 121735008 125398330 126807300 135261120 150477996 152168760 169076400 171093600 188097495 190210950 200637328 202891680 225435200 225716994 243470016 250796660 253614600 300955992 304337520 313495825 338152800 338575491 342187200 376194990 380421900 401274656 405783360 451433988 501593320 507229200 564292485 601911984 608675040 626991650 676305600 677150982 752389980 760843800 802549312 902867976 940487475 1003186640 1014458400 1116045137 1128584970 1203823968 1217350080 1253983300 1354301964 1504779960 1521687600 1692877455 1805735952 1880974950 2006373280 2028916800 2232090274 2257169940 2407647936 2507966600 2708603928 2821462425 3009559920 3043375200 3348135411 3385754910 3611471904 3761949900 4012746560 4464180548 4514339880 5015933200 5417207856 5580225685 5642924850 6019119840 6086750400 6696270822 6771509820 7222943808 7523899800 8464387275 8928361096 9028679760 10031866400 10044406233 10834415712 11160451370 11285849700 12038239680 13392541644 13543019640 15047799600 16740677055 16928774550 17856722192 18057359520 20063732800 20088812466 21668831424 22320902740 22571699400 26785083288 27086039280 27901128425 30095599200 30133218699 33481354110 33857549100 35713444384 36114719040 40177624932 44641805480 45143398800 50222031165 53570166576 54172078560 55802256850 60191198400 60266437398 66962708220 67715098200 71426888768 80355249864 83703385275 89283610960 90286797600 100444062330 107140333152 108344157120 111604513700 120532874796 133925416440 135430196400 150666093495 160710499728 167406770550 178567221920 180573595200 200888124660 214280666304 223209027400 241065749592 251110155825 267850832880 270860392800 301332186990 321420999456 334813541100 357134443840 401776249320 446418054800 482131499184 502220311650 535701665760 541720785600 602664373980 642841998912 669627082200 753330467475 803552498640 892836109600 964262998368 1004440623300 1071403331520 1205328747960 1339254164400 1506660934950 1607104997280 1785672219200 1928525996736 2008881246600 2410657495920 2678508328800 3013321869900 3214209994560 4017762493200 4821314991840 5357016657600 6026643739800 8035524986400 9642629983680 12053287479600 16071049972800 24106574959200 48213149918400
• Sum of all divisors σ(n): 177753011107440
• Sum of proper divisors (its aliquot sum) s(n): 129539861189040
• 48213149918400 is an abundant number, because the sum of its proper divisors (129539861189040) is greater than itself. Its abundance is 81326711270640

Bases of 48213149918400

• Binary: 1010111101100101111111101011001010010011000000₂
• Hexadecimal: 0x2BD97FACA4C0
• Base-36: H38TCMUO0

Squares and roots of 48213149918400

• 48213149918400 squared (48213149918400²) is 2324507825054113926658560000
• 48213149918400 cubed (48213149918400³) is 112071844255827914338662455648661504000000
• The square root of 48213149918400 is 6943568.9611611117
• The cube root of 48213149918400 is 36396.1267460223

Scales and comparisons

• 48,213,149,918,400 seconds is equal to 1,533,029 years, 1 week, 5 days, 12 hours.
• To count from 1 to 48,213,149,918,400 would take you about three million, eight hundred thirty-two thousand, five hundred seventy-two 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 48213149918400 cubic inches would be around 3033 feet tall.

Recreational maths with 48213149918400

• 48213149918400 backwards is 00481994131284
• 48213149918400 is a Harshad number.
• The number of decimal digits it has is: 14
• The sum of 48213149918400's digits is 54
• More coming soon!