54244480460800

Names of 54244480460800

• Cardinal: 54244480460800 can be written as Fifty-four trillion, two hundred forty-four billion, four hundred eighty million, four hundred sixty thousand, eight hundred.

Scientific notation

• Scientific notation: 5.42444804608 × 10¹³

Factors of 54244480460800

• Number of distinct prime factors ω(n): 6
• Total number of prime factors Ω(n): 18
• Sum of prime factors: 391

Divisors of 54244480460800

• Number of divisors d(n): 864
• Complete list of divisors:
  1 2 4 5 7 8 10 14 16 20 25 28 32 35 40 41 43 50 56 64 70 80 82 86 100 112 128 140 160 164 172 175 200 205 215 224 256 280 287 293 301 320 328 344 350 400 410 430 448 512 560 574 586 602 640 656 688 700 800 820 860 896 1024 1025 1075 1120 1148 1172 1204 1280 1312 1376 1400 1435 1465 1505 1600 1640 1720 1763 1792 2048 2050 2051 2150 2240 2296 2344 2408 2560 2624 2752 2800 2870 2930 3010 3200 3280 3440 3526 3584 4100 4102 4300 4480 4592 4688 4816 5120 5248 5504 5600 5740 5860 6020 6400 6560 6880 7052 7168 7175 7325 7525 8200 8204 8600 8815 8960 9184 9376 9632 10240 10255 10496 11008 11200 11480 11720 12013 12040 12341 12599 12800 13120 13760 14104 14336 14350 14650 15050 16400 16408 17200 17630 17920 18368 18752 19264 20510 20992 22016 22400 22960 23440 24026 24080 24682 25198 25600 26240 27520 28208 28700 29300 30100 32800 32816 34400 35260 35840 36736 37504 38528 41020 41984 44032 44075 44800 45920 46880 48052 48160 49364 50396 51200 51275 52480 55040 56416 57400 58600 60065 60200 61705 62995 65600 65632 68800 70520 71680 73472 75008 77056 82040 83968 84091 85849 88064 88150 88193 89600 91840 93760 96104 96320 98728 100792 102550 104960 110080 112832 114800 117200 120130 120400 123410 125990 131200 131264 137600 141040 146944 150016 154112 164080 168182 171698 176300 176386 179200 183680 187520 192208 192640 197456 201584 205100 209920 220160 225664 229600 234400 240260 240800 246820 251980 262400 262528 275200 282080 293888 300032 300325 308224 308525 314975 328160 336364 343396 352600 352772 358400 367360 375040 384416 385280 394912 403168 410200 419840 420455 429245 440320 440965 451328 459200 468800 480520 481600 493640 503960 516559 524800 525056 550400 564160 587776 600064 600650 600943 616448 617050 629950 656320 672728 686792 705200 705544 734720 750080 768832 770560 789824 806336 820400 840910 858490 881930 902656 918400 937600 961040 963200 987280 1007920 1033118 1049600 1050112 1100800 1128320 1201300 1201886 1234100 1259900 1312640 1345456 1373584 1410400 1411088 1469440 1500160 1537664 1541120 1579648 1612672 1640800 1681820 1716980 1763860 1805312 1836800 1875200 1922080 1926400 1974560 2015840 2066236 2099200 2100224 2102275 2146225 2201600 2204825 2256640 2402600 2403772 2468200 2519800 2582795 2625280 2690912 2747168 2820800 2822176 2938880 3000320 3004715 3075328 3082240 3159296 3225344 3281600 3363640 3433960 3519809 3527720 3610624 3615913 3673600 3691507 3750400 3844160 3852800 3949120 4031680 4132472 4200448 4204550 4292450 4409650 4513280 4805200 4807544 4936400 5039600 5165590 5250560 5381824 5494336 5641600 5644352 6009430 6150656 6318592 6450688 6563200 6727280 6867920 7039618 7055440 7231826 7347200 7383014 7500800 7688320 7705600 7898240 8063360 8264944 8409100 8584900 8819300 9026560 9610400 9615088 9872800 10079200 10331180 10501120 10763648 10988672 11283200 11288704 12018860 12301312 12637184 12901376 12913975 13126400 13454560 13735840 14079236 14110880 14463652 14694400 14766028 15001600 15023575 15376640 15411200 15796480 16126720 16529888 16818200 17169800 17599045 17638600 18053120 18079565 18457535 19220800 19230176 19745600 20158400 20662360 21002240 21527296 21977344 22566400 22577408 24037720 24602624 24638663 25274368 25802752 25827950 25840549 26252800 26909120 27471680 28158472 28221760 28927304 29532056 30047150 30753280 31592960 32253440 33059776 33636400 34339600 35198090 35277200 36159130 36915070 38441600 38460352 39491200 40316800 41324720 43054592 43954688 45132800 45154816 48075440 49277326 51655900 51681098 52505600 53818240 54943360 56316944 56443520 57854608 59064112 60094300 61506560 63185920 64506880 66119552 67272800 68679200 70396180 70554400 72318260 73830140 76883200 76920704 78982400 80633600 82649440 86109184 87909376 87995225 90265600 90309632 90397825 92287675 96150880 98554652 103311800 103362196 105011200 107636480 109886720 112633888 112887040 115709216 118128224 120188600 123013120 123193315 126371840 129013760 129202745 132239104 134545600 137358400 140792360 141108800 144636520 147660280 151351787 153766400 153841408 157964800 161267200 165298880 172218368 175818752 175990450 180619264 180795650 184575350 192301760 197109304 206623600 206724392 215272960 219773440 225267776 225774080 231418432 236256448 240377200 246386630 258405490 264478208 269091200 274716800 281584720 282217600 289273040 295320560 302703574 307532800 307682816 315929600 322534400 330597760 351980900 361591300 369150700 384603520 394218608 413247200 413448784 430545920 439546880 450535552 451548160 462836864 472512896 480754400 492773260 516810980 528956416 538182400 549433600 563169440 564435200 578546080 590641120 605407148 615065600 615365632 615966575 631859200 645068800 646013725 661195520 703961800 723182600 738301400 756758935 769207040 788437216 826494400 826897568 861091840 879093760 901071104 903096320 925673728 945025792 961508800 985546520 1033621960 1057912832 1059462509 1076364800 1098867200 1126338880 1128870400 1157092160 1181282240 1210814296 1230731264 1231933150 1292027450 1322391040 1407923600 1446365200 1476602800 1513517870 1538414080 1576874432 1652988800 1653795136 1802142208 1851347456 1890051584 1923017600 1971093040 2067243920 2118925018 2152729600 2197734400 2252677760 2257740800 2314184320 2362564480 2421628592 2463866300 2584054900 2644782080 2815847200 2892730400 2953205600 3027035740 3076828160 3153748864 3305977600 3307590272 3604284416 3702694912 3780103168 3783794675 3846035200 3942186080 4134487840 4237850036 4305459200 4395468800 4505355520 4515481600 4628368640 4725128960 4843257184 4927732600 5168109800 5289564160 5297312545 5631694400 5785460800 5906411200 6054071480 6153656320 6307497728 6611955200 6615180544 7208568832 7405389824 7560206336 7567589350 7692070400 7884372160 8268975680 8475700072 9010711040 9256737280 9450257920 9686514368 9855465200 10336219600 10594625090 11263388800 11570921600 11812822400 12108142960 12614995456 13223910400 13230361088 15135178700 15384140800 15768744320 16537951360 16951400144 18021422080 18513474560 18900515840 19373028736 19710930400 20672439200 21189250180 22526777600 23141843200 23625644800 24216285920 25229990912 26447820800 26460722176 26486562725 30270357400 30768281600 31537488640 33075902720 33902800288 36042844160 37026949120 37801031680 38746057472 39421860800 41344878400 42378500360 45053555200 46283686400 47251289600 48432571840 50459981824 52921444352 52973125450 60540714800 63074977280 66151805440 67805600576 77492114944 78843721600 82689756800 84757000720 90107110400 92567372800 94502579200 96865143680 105946250900 121081429600 126149954560 132303610880 135611201152 154984229888 157687443200 165379513600 169514001440 180214220800 185134745600 189005158400 193730287360 211892501800 242162859200 252299909120 264607221760 271222402304 309968459776 315374886400 330759027200 339028002880 387460574720 423785003600 484325718400 542444804608 630749772800 661518054400 678056005760 774921149440 847570007200 968651436800 1084889609216 1261499545600 1323036108800 1356112011520 1549842298880 1695140014400 1937302873600 2169779218432 2712224023040 3390280028800 3874605747200 5424448046080 6780560057600 7749211494400 10848896092160 13561120115200 27122240230400 54244480460800
• Sum of all divisors σ(n): 161669295627840
• Sum of proper divisors (its aliquot sum) s(n): 107424815167040
• 54244480460800 is an abundant number, because the sum of its proper divisors (107424815167040) is greater than itself. Its abundance is 53180334706240

Bases of 54244480460800

• Binary: 1100010101010111000110111111010010100000000000₂
• Hexadecimal: 0x3155C6FD2800
• Base-36: J87KJ45J4

Squares and roots of 54244480460800

• 54244480460800 squared (54244480460800²) is 2942463660462112980336640000
• 54244480460800 cubed (54244480460800³) is 159612412536551133060552923086323712000000
• The square root of 54244480460800 is 7365085.2310614843
• The cube root of 54244480460800 is 37854.5874950847

Scales and comparisons

• 54,244,480,460,800 seconds is equal to 1,724,806 years, 35 weeks, 5 days, 23 hours, 6 minutes, 40 seconds.
• To count from 1 to 54,244,480,460,800 would take you about four million, three hundred twelve thousand and sixteen 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 54244480460800 cubic inches would be around 3154.5 feet tall.

Recreational maths with 54244480460800

• 54244480460800 backwards is 00806408444245
• The number of decimal digits it has is: 14
• The sum of 54244480460800's digits is 49
• More coming soon!