54042457858624000
54,042,457,858,624,000 is an even composite number composed of five prime numbers multiplied together.
What does the number 54042457858624000 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 640 divisors.
54042457858624000 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of six hundred forty divisors.
Prime factorization of 54042457858624000:
29 × 53 × 19 × 37 × 10633
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 5 × 19 × 37 × 1063 × 1063 × 1063)See below for interesting mathematical facts about the number 54042457858624000 from the Numbermatics database.
Names of 54042457858624000
- Cardinal: 54042457858624000 can be written as Fifty-four quadrillion, forty-two trillion, four hundred fifty-seven billion, eight hundred fifty-eight million, six hundred twenty-four thousand.
Scientific notation
- Scientific notation: 5.4042457858624 × 1016
Factors of 54042457858624000
Divisors of 54042457858624000
- Number of divisors d(n): 640
-
Complete list of divisors:
1 2 4 5 8 10 16 19 20 25 32 37 38 40 50 64 74 76 80 95 100 125 128 148 152 160 185 190 200 250 256 296 304 320 370 380 400 475 500 512 592 608 640 703 740 760 800 925 950 1000 1063 1184 1216 1280 1406 1480 1520 1600 1850 1900 2000 2126 2368 2375 2432 2560 2812 2960 3040 3200 3515 3700 3800 4000 4252 4625 4736 4750 4864 5315 5624 5920 6080 6400 7030 7400 7600 8000 8504 9250 9472 9500 9728 10630 11248 11840 12160 12800 14060 14800 15200 16000 17008 17575 18500 18944 19000 20197 21260 22496 23680 24320 26575 28120 29600 30400 32000 34016 35150 37000 38000 39331 40394 42520 44992 47360 48640 53150 56240 59200 60800 64000 68032 70300 74000 76000 78662 80788 85040 87875 89984 94720 100985 106300 112480 118400 121600 132875 136064 140600 148000 152000 157324 161576 170080 175750 179968 196655 201970 212600 224960 236800 243200 265750 272128 281200 296000 304000 314648 323152 340160 351500 359936 393310 403940 425200 449920 473600 504925 531500 544256 562400 592000 608000 629296 646304 680320 703000 747289 786620 807880 850400 899840 983275 1009850 1063000 1124800 1129969 1184000 1216000 1258592 1292608 1360640 1406000 1494578 1573240 1615760 1700800 1799680 1966550 2019700 2126000 2249600 2259938 2368000 2517184 2524625 2585216 2721280 2812000 2989156 3146480 3231520 3401600 3736445 3933100 4039400 4252000 4499200 4519876 4916375 5034368 5049250 5170432 5624000 5649845 5978312 6292960 6463040 6803200 7472890 7866200 8078800 8504000 8998400 9039752 9832750 10068736 10098500 10340864 11248000 11299690 11956624 12585920 12926080 13606400 14945780 15732400 16157600 17008000 18079504 18682225 19665500 20137472 20197000 21469411 22496000 22599380 23913248 25171840 25852160 28249225 29891560 31464800 32315200 34016000 36159008 37364450 39331000 40394000 41808853 42938822 44992000 45198760 47826496 50343680 51704320 56498450 59783120 62929600 64630400 68032000 72318016 74728900 78662000 80788000 83617706 85877644 90397520 93411125 95652992 100687360 107347055 112996900 119566240 125859200 129260800 141246125 144636032 149457800 157324000 161576000 167235412 171755288 180795040 186822250 191305984 209044265 214694110 225993800 239132480 251718400 258521600 282492250 289272064 298915600 314648000 323152000 334470824 343510576 361590080 373644500 382611968 418088530 429388220 451987600 478264960 503436800 536735275 564984500 578544128 597831200 629296000 646304000 668941648 687021152 723180160 747289000 794368207 836177060 858776440 903975200 956529920 1045221325 1073470550 1129969000 1195662400 1201157047 1258592000 1292608000 1337883296 1374042304 1446360320 1494578000 1588736414 1672354120 1717552880 1807950400 1913059840 2090442650 2146941100 2259938000 2391324800 2402314094 2517184000 2675766592 2683676375 2748084608 2892720640 2989156000 3177472828 3344708240 3435105760 3615900800 3971841035 4180885300 4293882200 4519876000 4782649600 4804628188 5226106625 5351533184 5367352750 5496169216 5978312000 6005785235 6354945656 6689416480 6870211520 7231801600 7943682070 8361770600 8587764400 9039752000 9565299200 9609256376 10452213250 10703066368 10734705500 10992338432 11956624000 12011570470 12709891312 13378832960 13740423040 14463603200 15887364140 16723541200 17175528800 18079504000 19218512752 19859205175 20904426500 21406132736 21469411000 22821983893 23913248000 24023140940 25419782624 26757665920 27480846080 30028926175 31774728280 33447082400 34351057600 36159008000 38437025504 39718410350 41808853000 42938822000 44442810739 45643967786 47826496000 48046281880 50839565248 53515331840 54961692160 60057852350 63549456560 66894164800 68702115200 72318016000 76874051008 79436820700 83617706000 85877644000 88885621478 91287935572 96092563760 99296025875 101679130496 107030663680 114109919465 120115704700 127098913120 133788329600 137404230400 150144630875 153748102016 158873641400 167235412000 171755288000 177771242956 182575871144 192185127520 198592051750 203358260992 222214053695 228219838930 240231409400 254197826240 267576659200 274808460800 300289261750 307496204032 317747282800 334470824000 343510576000 355542485912 365151742288 384370255040 397184103500 406716521984 444428107390 456439677860 480462818800 508395652480 535153318400 570549597325 600578523500 614992408064 635494565600 668941648000 687021152000 711084971824 730303484576 768740510080 794368207000 844413404041 888856214780 912879355720 960925637600 1016791304960 1111070268475 1141099194650 1201157047000 1270989131200 1337883296000 1374042304000 1422169943648 1460606969152 1537481020160 1588736414000 1688826808082 1777712429560 1825758711440 1921851275200 2033582609920 2222140536950 2282198389300 2402314094000 2541978262400 2675766592000 2844339887296 2852747986625 2921213938304 3074962040320 3177472828000 3377653616164 3555424859120 3651517422880 3843702550400 4222067020205 4444281073900 4564396778600 4804628188000 5083956524800 5555351342375 5688679774592 5705495973250 5842427876608 6354945656000 6755307232328 7110849718240 7303034845760 7687405100800 8444134040410 8888562147800 9128793557200 9609256376000 10167913049600 11110702684750 11377359549184 11410991946500 11684855753216 12709891312000 13510614464656 14221699436480 14606069691520 15374810201600 16888268080820 17777124295600 18257587114400 19218512752000 21110335101025 22221405369500 22754719098368 22821983893000 25419782624000 27021228929312 28443398872960 29212139383040 33776536161640 35554248591200 36515174228800 38437025504000 42220670202050 44442810739000 45643967786000 50839565248000 54042457858624 56886797745920 58424278766080 67553072323280 71108497182400 73030348457600 76874051008000 84441340404100 88885621478000 91287935572000 105551675505125 108084915717248 113773595491840 135106144646560 142216994364800 146060696915200 168882680808200 177771242956000 182575871144000 211103351010250 216169831434496 270212289293120 284433988729600 292121393830400 337765361616400 355542485912000 365151742288000 422206702020500 432339662868992 540424578586240 568867977459200 675530723232800 711084971824000 730303484576000 844413404041000 1080849157172480 1351061446465600 1422169943648000 1460606969152000 1688826808082000 2161698314344960 2702122892931200 2844339887296000 3377653616164000 5404245785862400 6755307232328000 10808491571724800 13510614464656000 27021228929312000 54042457858624000
- Sum of all divisors σ(n): 145821770084390400
- Sum of proper divisors (its aliquot sum) s(n): 91779312225766400
- 54042457858624000 is an abundant number, because the sum of its proper divisors (91779312225766400) is greater than itself. Its abundance is 37736854367142400
Bases of 54042457858624000
- Binary: 101111111111111101010100001111110111001111001010000000002
- Hexadecimal: 0xBFFF543F73CA00
- Base-36: ES4GAEI41DS
Squares and roots of 54042457858624000
- 54042457858624000 squared (540424578586240002) is 2920587251401150935571173376000000
- 54042457858624000 cubed (540424578586240003) is 157835713456281197333176728515888000794624000000000
-
The
square root of 54042457858624000 is 232470337.5887427063 -
The
cube root of 54042457858624000 is 378075.3511463293
Scales and comparisons
How big is 54042457858624000?- 54,042,457,858,624,000 seconds is equal to 1,718,382,995 years, 31 weeks, 3 days, 17 hours, 46 minutes, 40 seconds.
-
To count from 1 to 54,042,457,858,624,000 would take you about five billion, one hundred fifty-five million, one hundred forty-eight thousand, nine hundred eighty-six 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 54042457858624000 cubic inches would be around 31506.3 feet tall.
Recreational maths with 54042457858624000
- 54042457858624000 backwards is 00042685875424045
- 54042457858624000 is a
Harshad number . - The number of decimal digits it has is: 17
- The sum of 54042457858624000's digits is 64
- More coming soon!
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The information we have on file for 54042457858624000 includes mathematical data and numerical statistics calculated using standard algorithms and methods. We are adding more all the time. If there are any features you would like to see, please contact us. Information provided for educational use, intellectual curiosity and fun!
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