48142818214400

Names of 48142818214400

• Cardinal: 48142818214400 can be written as Forty-eight trillion, one hundred forty-two billion, eight hundred eighteen million, two hundred fourteen thousand, four hundred.

Scientific notation

• Scientific notation: 4.81428182144 × 10¹³

Factors of 48142818214400

• Number of distinct prime factors ω(n): 8
• Total number of prime factors Ω(n): 17
• Sum of prime factors: 3225

Divisors of 48142818214400

• Number of divisors d(n): 1920
• Complete list of divisors:
  1 2 4 5 7 8 10 13 14 16 17 19 20 25 26 28 32 34 35 38 40 41 50 52 56 64 65 68 70 76 80 82 85 91 95 100 104 112 119 128 130 133 136 140 152 160 164 170 175 182 190 200 205 208 221 224 238 247 256 260 266 272 280 287 304 320 323 325 328 340 350 364 380 400 410 416 425 442 448 455 475 476 494 512 520 532 533 544 560 574 595 608 640 646 650 656 665 680 697 700 728 760 779 800 820 832 850 884 896 910 950 952 988 1025 1040 1064 1066 1088 1105 1120 1148 1190 1216 1235 1280 1292 1300 1312 1330 1360 1394 1400 1435 1456 1520 1547 1558 1600 1615 1640 1664 1700 1729 1768 1792 1820 1900 1904 1976 2050 2080 2128 2132 2176 2210 2240 2261 2275 2296 2380 2432 2470 2560 2584 2600 2624 2660 2665 2720 2788 2800 2870 2912 2975 3040 3094 3116 3121 3200 3230 3280 3325 3328 3400 3458 3485 3536 3584 3640 3731 3800 3808 3895 3952 4100 4160 4199 4256 4264 4352 4420 4480 4522 4550 4592 4760 4864 4879 4940 5168 5200 5248 5320 5330 5440 5453 5525 5576 5600 5740 5824 5950 6080 6175 6188 6232 6242 6400 6460 6560 6650 6656 6800 6916 6970 7072 7175 7280 7462 7600 7616 7735 7790 7904 8075 8200 8320 8398 8512 8528 8645 8704 8840 8960 9044 9061 9100 9184 9520 9728 9758 9880 10127 10336 10400 10496 10640 10660 10880 10906 11050 11152 11200 11305 11480 11648 11900 12160 12350 12376 12464 12484 12800 12920 13120 13243 13300 13325 13600 13832 13940 14144 14350 14560 14924 15200 15232 15470 15580 15605 15808 16150 16400 16640 16796 17024 17056 17290 17425 17680 17920 18088 18122 18200 18368 18655 19040 19475 19516 19760 20254 20672 20800 20992 20995 21280 21320 21760 21812 21847 22100 22304 22400 22610 22960 23296 23800 24320 24395 24700 24752 24928 24968 25840 26240 26486 26600 26650 27200 27265 27664 27880 28288 28700 29120 29393 29848 30400 30464 30940 31160 31210 31616 32300 32800 33280 33592 34048 34112 34580 34850 35360 36176 36244 36400 36736 37310 38080 38675 38950 39032 39520 40508 40573 41344 41600 41990 42560 42640 43225 43520 43624 43694 44200 44608 44800 45220 45305 45920 46592 47600 48640 48790 49400 49504 49856 49936 50635 51680 52480 52972 53057 53200 53300 54400 54530 55328 55760 56525 56576 57400 58240 58786 59299 59696 60800 60928 61880 62320 62420 63232 63427 64600 65600 66215 67184 68096 68224 69160 69700 70720 70889 72352 72488 72800 73472 74620 76160 77350 77900 78025 78064 79040 81016 81146 82688 83200 83980 85120 85280 86450 87248 87388 88400 89216 89600 90440 90610 91840 92701 93275 95200 97580 98800 99008 99712 99872 101270 103360 104960 104975 105944 106114 106400 106600 108800 109060 109235 110656 111520 113050 113152 114800 116480 117572 118598 119392 121600 121975 123760 124640 124840 126464 126854 127961 129200 131200 132430 134368 136325 136448 138320 139400 141440 141778 144704 144976 145600 146944 146965 149240 152320 154700 155800 156050 156128 158080 162032 162292 165376 166400 167960 170240 170560 172159 172900 174496 174776 176800 178432 180880 181220 183680 185402 186550 190400 195160 197600 198016 199424 199744 202540 202865 206720 209950 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19491019520 19795566700 20228074880 20968126400 21161678336 21292710400 21492329560 21784080640 22124456900 22581059200 22623504800 23145585680 23484301568 24363774400 25285093600 25338325376 26452097920 26865411950 27230100800 27844313600 28319304832 28931982100 29355376960 29809794560 30089261384 30900396800 31120115200 31672906720 33065122400 33549002240 34387727296 34535737600 35399131040 36197607680 36694221200 37032937088 37262243200 37611576730 38982039040 39591133400 40456149760 41936252800 42984659120 43568161280 44248913800 45162118400 45247009600 46291171360 46968603136 48727548800 50570187200 50676650752 52904195840 53730823900 54460201600 56638609664 57863964200 58710753920 60178522768 61800793600 63345813440 66130244800 68775454592 69071475200 70798262080 72395215360 73388442400 74065874176 74524486400 75223153460 79182266800 80912299520 83872505600 85969318240 88497827600 90324236800 90494019200 92582342720 94028941825 97455097600 101140374400 101353301504 105808391680 107461647800 108920403200 113277219328 115727928400 117421507840 120357045536 126691626880 132260489600 137550909184 141596524160 146776884800 148131748352 149048972800 150446306920 158364533600 167745011200 171938636480 176995655200 180988038400 185164685440 188057883650 194910195200 202280748800 214923295600 217840806400 231455856800 234843015680 240714091072 253383253760 264520979200 275101818368 283193048320 293553769600 300892613840 316729067200 343877272960 353991310400 361976076800 370329370880 376115767300 404561497600 429846591200 462911713600 481428182144 506766507520 529041958400 566386096640 587107539200 601785227680 633458134400 687754545920 707982620800 740658741760 752231534600 859693182400 925823427200 962856364288 1174215078400 1203570455360 1266916268800 1375509091840 1415965241600 1504463069200 1719386364800 1851646854400 1925712728576 2407140910720 2533832537600 2831930483200 3008926138400 3438772729600 3703293708800 4814281821440 6017852276800 6877545459200 9628563642880 12035704553600 24071409107200 48142818214400
• Sum of all divisors σ(n): 167664083811840
• Sum of proper divisors (its aliquot sum) s(n): 119521265597440
• 48142818214400 is an abundant number, because the sum of its proper divisors (119521265597440) is greater than itself. Its abundance is 71378447383040

Bases of 48142818214400

• Binary: 1010111100100100011111100101000000001000000000₂
• Hexadecimal: 0x2BC91F940200
• Base-36: H2CI6YCJK

Squares and roots of 48142818214400

• 48142818214400 squared (48142818214400²) is 2317730945624764404367360000
• 48142818214400 cubed (48142818214400³) is 111582099585102443754285705916841984000000
• The square root of 48142818214400 is 6938502.5916547729
• The cube root of 48142818214400 is 36378.4203226065

Scales and comparisons

• 48,142,818,214,400 seconds is equal to 1,530,792 years, 36 weeks, 4 days, 3 hours, 33 minutes, 20 seconds.
• To count from 1 to 48,142,818,214,400 would take you about three million, eight hundred twenty-six thousand, nine hundred eighty-one 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 48142818214400 cubic inches would be around 3031.5 feet tall.

Recreational maths with 48142818214400

• 48142818214400 backwards is 00441281824184
• The number of decimal digits it has is: 14
• The sum of 48142818214400's digits is 47
• More coming soon!