54137729286144

Names of 54137729286144

• Cardinal: 54137729286144 can be written as Fifty-four trillion, one hundred thirty-seven billion, seven hundred twenty-nine million, two hundred eighty-six thousand, one hundred forty-four.

Scientific notation

• Scientific notation: 5.4137729286144 × 10¹³

Factors of 54137729286144

• Number of distinct prime factors ω(n): 4
• Total number of prime factors Ω(n): 24
• Sum of prime factors: 581

Divisors of 54137729286144

• Number of divisors d(n): 672
• Complete list of divisors:
  1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 32 36 42 48 54 56 63 64 72 81 84 96 108 112 126 128 144 162 168 189 192 216 224 243 252 256 288 324 336 378 384 432 448 486 504 512 567 569 576 648 672 729 756 768 864 896 972 1008 1024 1134 1138 1152 1296 1344 1458 1512 1536 1701 1707 1728 1792 1944 2016 2048 2268 2276 2304 2592 2688 2916 3024 3072 3402 3414 3456 3584 3888 3983 4032 4096 4536 4552 4608 5103 5121 5184 5376 5832 6048 6144 6804 6828 6912 7168 7776 7966 8064 8192 9072 9104 9216 10206 10242 10368 10752 11664 11949 12096 12288 13608 13656 13824 14336 15363 15552 15932 16128 16384 18144 18208 18432 20412 20484 20736 21504 23328 23898 24192 24576 27216 27312 27648 28672 30726 31104 31864 32256 32768 35847 36288 36416 36864 40824 40968 41472 43008 46089 46656 47796 48384 49152 54432 54624 55296 57344 61452 62208 63728 64512 71694 72576 72832 73728 81648 81936 82944 86016 92178 93312 95592 96768 98304 107541 108864 109248 110592 114688 122904 124416 127456 129024 138267 143388 145152 145664 147456 163296 163872 165888 172032 184356 186624 191184 193536 215082 217728 218496 221184 229376 245808 248832 254912 258048 276534 286776 290304 291328 294912 322623 323761 326592 327744 331776 344064 368712 373248 382368 387072 414801 430164 435456 436992 442368 491616 497664 509824 516096 553068 573552 580608 582656 645246 647522 653184 655488 663552 688128 737424 746496 764736 774144 829602 860328 870912 873984 884736 967869 971283 983232 995328 1019648 1032192 1106136 1147104 1161216 1165312 1290492 1295044 1306368 1310976 1327104 1474848 1492992 1529472 1548288 1659204 1720656 1741824 1747968 1935738 1942566 1966464 1990656 2039296 2064384 2212272 2266327 2294208 2322432 2330624 2580984 2590088 2612736 2621952 2654208 2903607 2913849 2949696 2985984 3058944 3096576 3318408 3441312 3483648 3495936 3871476 3885132 3932928 3981312 4078592 4424544 4532654 4588416 4644864 4661248 5161968 5180176 5225472 5243904 5807214 5827698 5899392 5971968 6117888 6193152 6636816 6798981 6882624 6967296 6991872 7742952 7770264 7865856 7962624 8157184 8741547 8849088 9065308 9176832 9289728 9322496 10323936 10360352 10450944 10487808 11614428 11655396 11798784 11943936 12235776 13273632 13597962 13765248 13934592 13983744 15485904 15540528 15731712 16314368 17483094 17698176 18130616 18353664 18579456 18644992 20396943 20647872 20720704 20901888 20975616 23228856 23310792 23597568 23887872 24471552 26224641 26547264 27195924 27530496 27869184 27967488 30971808 31081056 31463424 32628736 34966188 35396352 36261232 36707328 40793886 41295744 41441408 41803776 41951232 46457712 46621584 47195136 48943104 52449282 53094528 54391848 55060992 55738368 55934976 61190829 61943616 62162112 62926848 65257472 69932376 70792704 72522464 73414656 78673923 81587772 82591488 82882816 83607552 83902464 92915424 93243168 94390272 97886208 104898564 106189056 108783696 110121984 122381658 123887232 124324224 125853696 130514944 139864752 141585408 145044928 146829312 157347846 163175544 165182976 165765632 167215104 167804928 183572487 185830848 186486336 188780544 195772416 209797128 212378112 217567392 220243968 236021769 244763316 247774464 248648448 251707392 279729504 283170816 290089856 293658624 314695692 326351088 330365952 331531264 367144974 371661696 372972672 377561088 391544832 419594256 424756224 435134784 440487936 472043538 489526632 495548928 497296896 503414784 550717461 559459008 566341632 580179712 587317248 629391384 652702176 660731904 663062528 734289948 743323392 745945344 755122176 839188512 849512448 870269568 880975872 944087076 979053264 991097856 994593792 1101434922 1118918016 1132683264 1160359424 1174634496 1258782768 1305404352 1321463808 1326125056 1468579896 1486646784 1491890688 1510244352 1652152383 1678377024 1699024896 1740539136 1761951744 1888174152 1958106528 1982195712 1989187584 2202869844 2237836032 2265366528 2320718848 2517565536 2610808704 2642927616 2652250112 2937159792 2973293568 2983781376 3304304766 3356754048 3398049792 3481078272 3523903488 3776348304 3916213056 3964391424 3978375168 4405739688 4475672064 4530733056 4641437696 5035131072 5221617408 5285855232 5304500224 5874319584 5946587136 5967562752 6608609532 6713508096 6796099584 6962156544 7552696608 7832426112 7928782848 7956750336 8811479376 8951344128 9282875392 10070262144 10443234816 10571710464 10609000448 11748639168 11893174272 11935125504 13217219064 13427016192 13592199168 13924313088 15105393216 15664852224 15857565696 15913500672 17622958752 17902688256 18565750784 20140524288 20886469632 23497278336 23786348544 23870251008 26434438128 26854032384 27848626176 30210786432 31329704448 31715131392 31827001344 35245917504 35805376512 37131501568 40281048576 41772939264 46994556672 47572697088 47740502016 52868876256 53708064768 55697252352 60421572864 62659408896 70491835008 71610753024 74263003136 80562097152 83545878528 93989113344 95145394176 95481004032 105737752512 107416129536 111394504704 120843145728 125318817792 140983670016 143221506048 161124194304 167091757056 187978226688 211475505024 214832259072 222789009408 241686291456 250637635584 281967340032 286443012096 322248388608 334183514112 375956453376 422951010048 429664518144 483372582912 501275271168 563934680064 644496777216 668367028224 751912906752 845902020096 859329036288 966745165824 1002550542336 1127869360128 1288993554432 1503825813504 1691804040192 1933490331648 2005101084672 2255738720256 2577987108864 3007651627008 3383608080384 3866980663296 4511477440512 6015303254016 6767216160768 7733961326592 9022954881024 13534432321536 18045909762048 27068864643072 54137729286144
• Sum of all divisors σ(n): 185854000551240
• Sum of proper divisors (its aliquot sum) s(n): 131716271265096
• 54137729286144 is an abundant number, because the sum of its proper divisors (131716271265096) is greater than itself. Its abundance is 77578541978952

Bases of 54137729286144

• Binary: 1100010011110011101100000111111000000000000000₂
• Hexadecimal: 0x313CEC1F8000
• Base-36: J6UJ28000

Squares and roots of 54137729286144

• 54137729286144 squared (54137729286144²) is 2930893732259813735830388736
• 54137729286144 cubed (54137729286144³) is 158671931443538009744615316979671298473984
• The square root of 54137729286144 is 7357834.5514250319
• The cube root of 54137729286144 is 37829.7390348643

Scales and comparisons

• 54,137,729,286,144 seconds is equal to 1,721,412 years, 17 weeks, 1 day, 23 hours, 2 minutes, 24 seconds.
• To count from 1 to 54,137,729,286,144 would take you about four million, three hundred three thousand, five hundred thirty 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 54137729286144 cubic inches would be around 3152.5 feet tall.

Recreational maths with 54137729286144

• 54137729286144 backwards is 44168292773145
• 54137729286144 is a Harshad number.
• The number of decimal digits it has is: 14
• The sum of 54137729286144's digits is 63
• More coming soon!