53978268144000
53,978,268,144,000 is an even composite number composed of five prime numbers multiplied together.
53978268144000 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of seven hundred sixty-eight divisors.
Prime factorization of 53978268144000:
27 × 3 × 53 × 373 × 1492
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 5 × 5 × 37 × 37 × 37 × 149 × 149)See below for interesting mathematical facts about the number 53978268144000 from the Numbermatics database.
Names of 53978268144000
- Cardinal: 53978268144000 can be written as Fifty-three trillion, nine hundred seventy-eight billion, two hundred sixty-eight million, one hundred forty-four thousand.
Scientific notation
- Scientific notation: 5.3978268144 × 1013
Factors of 53978268144000
Divisors of 53978268144000
- Number of divisors d(n): 768
-
Complete list of divisors:
1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 32 37 40 48 50 60 64 74 75 80 96 100 111 120 125 128 148 149 150 160 185 192 200 222 240 250 296 298 300 320 370 375 384 400 444 447 480 500 555 592 596 600 640 740 745 750 800 888 894 925 960 1000 1110 1184 1192 1200 1369 1480 1490 1500 1600 1776 1788 1850 1920 2000 2220 2235 2368 2384 2400 2738 2775 2960 2980 3000 3200 3552 3576 3700 3725 4000 4107 4440 4470 4625 4736 4768 4800 5476 5513 5550 5920 5960 6000 6845 7104 7152 7400 7450 8000 8214 8880 8940 9250 9536 9600 10952 11026 11100 11175 11840 11920 12000 13690 13875 14208 14304 14800 14900 16000 16428 16539 17760 17880 18500 18625 19072 20535 21904 22052 22200 22201 22350 23680 23840 24000 27380 27565 27750 28608 29600 29800 32856 33078 34225 35520 35760 37000 37250 41070 43808 44104 44400 44402 44700 47680 48000 50653 54760 55130 55500 55875 57216 59200 59600 65712 66156 66603 68450 71040 71520 74000 74500 82140 82695 87616 88208 88800 88804 89400 95360 101306 102675 109520 110260 111000 111005 111750 118400 119200 131424 132312 133206 136900 137825 143040 148000 149000 151959 164280 165390 171125 175232 176416 177600 177608 178800 202612 203981 205350 219040 220520 222000 222010 223500 238400 253265 262848 264624 266412 273800 275650 286080 296000 298000 303918 328560 330780 333015 342250 352832 355200 355216 357600 405224 407962 410700 413475 438080 441040 444000 444020 447000 476800 506530 513375 525696 529248 532824 547600 551300 555025 592000 596000 607836 611943 657120 661560 666030 684500 689125 705664 710432 715200 759795 810448 815924 821400 821437 826950 876160 882080 888000 888040 894000 1013060 1019905 1026750 1058496 1065648 1095200 1102600 1110050 1192000 1215672 1223886 1266325 1314240 1323120 1332060 1369000 1378250 1420864 1430400 1519590 1620896 1631848 1642800 1642874 1653900 1665075 1764160 1776000 1776080 1788000 2026120 2039810 2053500 2067375 2116992 2131296 2190400 2205200 2220100 2384000 2431344 2447772 2464311 2532650 2628480 2646240 2664120 2738000 2756500 2775125 2841728 3039180 3059715 3241792 3263696 3285600 3285748 3307800 3330150 3528320 3552160 3576000 3798975 4052240 4079620 4107000 4107185 4134750 4262592 4380800 4410400 4440200 4862688 4895544 4928622 5065300 5099525 5292480 5328240 5476000 5513000 5550250 6078360 6119430 6331625 6483584 6527392 6571200 6571496 6615600 6660300 7104320 7152000 7547297 7597950 8104480 8159240 8214000 8214370 8269500 8325375 8525184 8820800 8880400 9725376 9791088 9857244 10130600 10199050 10584960 10656480 10952000 11026000 11100500 12156720 12238860 12321555 12663250 13054784 13142400 13142992 13231200 13320600 14208640 15094594 15195900 15298575 16208960 16318480 16428000 16428740 16539000 16650750 17641600 17760800 18994875 19450752 19582176 19714488 20261200 20398100 20535925 21312960 21904000 22052000 22201000 22641891 24313440 24477720 24643110 25326500 25497625 26109568 26285984 26462400 26641200 30189188 30391800 30393169 30597150 32417920 32636960 32856000 32857480 33078000 33301500 35521600 37736485 37989750 39164352 39428976 40522400 40796200 41071850 42625920 44104000 44402000 45283782 48626880 48955440 49286220 50653000 50995250 52571968 52924800 53282400 60378376 60783600 60786338 61194300 61607775 65273920 65712000 65714960 66156000 66603000 71043200 75472970 75979500 76492875 78328704 78857952 81044800 81592400 82143700 88208000 88804000 90567564 91179507 97253760 97910880 98572440 101306000 101990500 102679625 105143936 106564800 113209455 120756752 121567200 121572676 122388600 123215550 130547840 131429920 132312000 133206000 150945940 151959000 151965845 152985750 157715904 162089600 163184800 164287400 177608000 181135128 182359014 188682425 195821760 197144880 202612000 203981000 205359250 213129600 226418910 241513504 243134400 243145352 244777200 246431100 262859840 264624000 266412000 301891880 303918000 303931690 305971500 308038875 315431808 326369600 328574800 355216000 362270256 364718028 377364850 391643520 394289760 405224000 407962000 410718500 452837820 455897535 483027008 486268800 486290704 489554400 492862200 525719680 532824000 566047275 603783760 607836000 607863380 611943000 616077750 652739200 657149600 724540512 729436056 754729700 759829225 788579520 810448000 815924000 821437000 905675640 911795070 943412125 966054016 972581408 979108800 985724400 1065648000 1124547253 1132094550 1207567520 1215672000 1215726760 1223886000 1232155500 1314299200 1449081024 1458872112 1509459400 1519658450 1577159040 1631848000 1642874000 1811351280 1823590140 1886824250 1945162816 1958217600 1971448800 2249094506 2264189100 2279487675 2415135040 2431344000 2431453520 2447772000 2464311000 2628598400 2830236375 2898162048 2917744224 3018918800 3039316900 3263696000 3285748000 3373641759 3622702560 3647180280 3773648500 3799146125 3890325632 3942897600 4498189012 4528378200 4558975350 4830270080 4862907040 4895544000 4928622000 5622736265 5660472750 5835488448 6037837600 6078633800 6571496000 6747283518 7245405120 7294360560 7547297000 7598292250 7885795200 8996378024 9056756400 9117950700 9725814080 9791088000 9857244000 11245472530 11320945500 11397438375 11670976896 12075675200 12157267600 13142992000 13494567036 14490810240 14588721120 15094594000 15196584500 16868208795 17992756048 18113512800 18235901400 19451628160 19714488000 22490945060 22641891000 22794876750 24151350400 24314535200 26989134072 28113681325 29177442240 30189188000 30393169000 33736417590 35985512096 36227025600 36471802800 39428976000 44981890120 45283782000 45589753500 48629070400 53978268144 56227362650 58354884480 60378376000 60786338000 67472835180 71971024192 72454051200 72943605600 84341043975 89963780240 90567564000 91179507000 97258140800 107956536288 112454725300 120756752000 121572676000 134945670360 140568406625 143942048384 145887211200 168682087950 179927560480 181135128000 182359014000 215913072576 224909450600 243145352000 269891340720 281136813250 291774422400 337364175900 359855120960 362270256000 364718028000 421705219875 431826145152 449818901200 486290704000 539782681440 562273626500 674728351800 719710241920 729436056000 843410439750 899637802400 1079565362880 1124547253000 1349456703600 1458872112000 1686820879500 1799275604800 2159130725760 2249094506000 2698913407200 3373641759000 3598551209600 4498189012000 5397826814400 6747283518000 8996378024000 10795653628800 13494567036000 17992756048000 26989134072000 53978268144000
- Sum of all divisors σ(n): 185150927707200
- Sum of proper divisors (its aliquot sum) s(n): 131172659563200
- 53978268144000 is an abundant number, because the sum of its proper divisors (131172659563200) is greater than itself. Its abundance is 77194391419200
Bases of 53978268144000
- Binary: 11000100010111110010110111111110010001100000002
- Hexadecimal: 0x3117CB7F9180
- Base-36: J4T9V6B9C
Squares and roots of 53978268144000
- 53978268144000 squared (539782681440002) is 2913653431825565204736000000
- 53978268144000 cubed (539782681440003) is 157273966221766182055596066729984000000000
-
The
square root of 53978268144000 is 7346990.4140402959 -
The
cube root of 53978268144000 is 37792.5603678355
Scales and comparisons
How big is 53978268144000?- 53,978,268,144,000 seconds is equal to 1,716,341 years, 49 weeks, 6 days, 21 hours, 20 minutes.
-
To count from 1 to 53,978,268,144,000 would take you about four million, two hundred ninety thousand, eight hundred fifty-four 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 53978268144000 cubic inches would be around 3149.4 feet tall.
Recreational maths with 53978268144000
- 53978268144000 backwards is 00044186287935
- The number of decimal digits it has is: 14
- The sum of 53978268144000's digits is 57
- More coming soon!
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