48126097161646400

Names of 48126097161646400

• Cardinal: 48126097161646400 can be written as Forty-eight quadrillion, one hundred twenty-six trillion, ninety-seven billion, one hundred sixty-one million, six hundred forty-six thousand, four hundred.

Scientific notation

• Scientific notation: 4.81260971616464 × 10¹⁶

Factors of 48126097161646400

• Number of distinct prime factors ω(n): 6
• Total number of prime factors Ω(n): 12
• Sum of prime factors: 2755667

Divisors of 48126097161646400

• Number of divisors d(n): 336
• Complete list of divisors:
  1 2 4 5 8 10 13 16 20 25 26 32 40 50 52 64 65 80 89 100 104 130 160 178 200 208 260 320 325 356 400 416 445 520 650 712 800 832 890 1040 1157 1300 1424 1600 1780 2080 2225 2314 2600 2848 3560 4160 4450 4628 5200 5696 5785 7120 8900 9256 9467 10400 11570 14240 17800 18512 18934 20800 23140 28480 28925 35600 37024 37868 46280 47335 57850 71200 74048 75736 92560 94670 115700 123071 142400 151472 185120 189340 231400 236675 246142 302944 370240 378680 462800 473350 492284 605888 615355 757360 842563 925600 946700 984568 1230710 1514720 1685126 1851200 1893400 1969136 2461420 2746091 3029440 3076775 3370252 3786800 3938272 4212815 4922840 5492182 6153550 6740504 7573600 7876544 8425630 9845680 10953319 10984364 12307100 13481008 13730455 15147200 16851260 19691360 21064075 21906638 21968728 24614200 26962016 27460910 33702520 35699183 39382720 42128150 43813276 43937456 49228400 53924032 54766595 54921820 67405040 68652275 71398366 84256300 87626552 87874912 98456800 109533190 109843640 134810080 137304550 142796732 168512600 175253104 175749824 178495915 196913600 219066380 219687280 244402099 269620160 273832975 274609100 285593464 337025200 350506208 356991830 438132760 439374560 488804198 547665950 549218200 571186928 674050400 701012416 713983660 876265520 878749120 892479575 977608396 1095331900 1098436400 1142373856 1222010495 1348100800 1427967320 1752531040 1784959150 1955216792 2190663800 2196872800 2284747712 2444020990 2855934640 3177227287 3505062080 3569918300 3910433584 4381327600 4393745600 4888041980 5711869280 6110052475 6354454574 7139836600 7820867168 8762655200 9776083960 11423738560 12220104950 12708909148 14279673200 15641734336 15886136435 17525310400 19552167920 24440209900 25417818296 25997243497 28559346400 31772272870 39104335840 48880419800 50835636592 51994486994 57118692800 63544545740 78208671680 79430682175 97760839600 101671273184 103988973988 127089091480 129986217485 158861364350 195521679200 203342546368 207977947976 254178182960 259972434970 317722728700 337964165461 391043358400 415955895952 508356365920 519944869940 635445457400 649931087425 675928330922 831911791904 1016712731840 1039889739880 1270890914800 1299862174850 1351856661844 1663823583808 1689820827305 2079779479760 2313754671233 2541781829600 2599724349700 2703713323688 3379641654610 4159558959520 4627509342466 5083563659200 5199448699400 5407426647376 6759283309220 8319117919040 8449104136525 9255018684932 10398897398800 10814853294752 11568773356165 13518566618440 16898208273050 18510037369864 20797794797600 21629706589504 23137546712330 27037133236880 30078810726029 33796416546100 37020074739728 41595589595200 46275093424660 54074266473760 57843866780825 60157621452058 67592833092200 74040149479456 92550186849320 108148532947520 115687733561650 120315242904116 135185666184400 148080298958912 150394053630145 185100373698640 231375467123300 240630485808232 270371332368800 300788107260290 370200747397280 462750934246600 481260971616464 540742664737600 601576214520580 740401494794560 751970268150725 925501868493200 962521943232928 1203152429041160 1503940536301450 1851003736986400 1925043886465856 2406304858082320 3007881072602900 3702007473972800 4812609716164640 6015762145205800 9625219432329280 12031524290411600 24063048580823200 48126097161646400
• Sum of all divisors σ(n): 128976115317174720
• Sum of proper divisors (its aliquot sum) s(n): 80850018155528320
• 48126097161646400 is an abundant number, because the sum of its proper divisors (80850018155528320) is greater than itself. Its abundance is 32723920993881920

Bases of 48126097161646400

• Binary: 10101010111110100110111000101101101111101111000101000000₂
• Hexadecimal: 0xAAFA6E2DBEF140
• Base-36: D5V9ZTJ1DFK

Squares and roots of 48126097161646400

• 48126097161646400 squared (48126097161646400²) is 2316121228012229678331158632960000
• 48126097161646400 cubed (48126097161646400³) is 111465875257468341157400221967610157966905344000000
• The square root of 48126097161646400 is 219376610.3340244429
• The cube root of 48126097161646400 is 363742.0816147807

Scales and comparisons

• 48,126,097,161,646,400 seconds is equal to 1,530,261,025 years, 49 weeks, 1 day, 23 hours, 33 minutes, 20 seconds.
• To count from 1 to 48,126,097,161,646,400 would take you about four billion, five hundred ninety million, seven hundred eighty-three thousand and seventy-seven 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 48126097161646400 cubic inches would be around 30311.8 feet tall.

Recreational maths with 48126097161646400

• 48126097161646400 backwards is 00464616179062184
• 48126097161646400 is a Harshad number.
• The number of decimal digits it has is: 17
• The sum of 48126097161646400's digits is 65
• More coming soon!