54272538163814400
54,272,538,163,814,400 is an even composite number composed of seven prime numbers multiplied together.
54272538163814400 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of two thousand, six hundred eighty-eight divisors.
Prime factorization of 54272538163814400:
213 × 33 × 52 × 31 × 61 × 2789 × 1861
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 5 × 5 × 31 × 61 × 2789 × 1861)See below for interesting mathematical facts about the number 54272538163814400 from the Numbermatics database.
Names of 54272538163814400
- Cardinal: 54272538163814400 can be written as Fifty-four quadrillion, two hundred seventy-two trillion, five hundred thirty-eight billion, one hundred sixty-three million, eight hundred fourteen thousand, four hundred.
Scientific notation
- Scientific notation: 5.42725381638144 × 1016
Factors of 54272538163814400
Divisors of 54272538163814400
- Number of divisors d(n): 2688
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Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 25 27 30 31 32 36 40 45 48 50 54 60 61 62 64 72 75 80 90 93 96 100 108 120 122 124 128 135 144 150 155 160 180 183 186 192 200 216 225 240 244 248 256 270 279 288 300 305 310 320 360 366 372 384 400 432 450 465 480 488 496 512 540 549 558 576 600 610 620 640 675 720 732 744 768 775 800 837 864 900 915 930 960 976 992 1024 1080 1098 1116 1152 1200 1220 1240 1280 1350 1395 1440 1464 1488 1525 1536 1550 1600 1647 1674 1728 1800 1830 1860 1861 1891 1920 1952 1984 2048 2160 2196 2232 2304 2325 2400 2440 2480 2560 2700 2745 2789 2790 2880 2928 2976 3050 3072 3100 3200 3294 3348 3456 3600 3660 3720 3722 3782 3840 3904 3968 4096 4185 4320 4392 4464 4575 4608 4650 4800 4880 4960 5120 5400 5490 5578 5580 5583 5673 5760 5856 5952 6100 6144 6200 6400 6588 6696 6912 6975 7200 7320 7440 7444 7564 7680 7808 7936 8192 8235 8367 8370 8640 8784 8928 9150 9216 9300 9305 9455 9600 9760 9920 10240 10800 10980 11156 11160 11166 11346 11520 11712 11904 12200 12288 12400 12800 13176 13392 13725 13824 13945 13950 14400 14640 14880 14888 15128 15360 15616 15872 16470 16734 16740 16749 17019 17280 17568 17856 18300 18432 18600 18610 18910 19200 19520 19840 20480 20925 21600 21960 22312 22320 22332 22692 23040 23424 23808 24400 24576 24800 25101 25600 26352 26784 27450 27648 27890 27900 27915 28365 28800 29280 29760 29776 30256 30720 31232 31744 32940 33468 33480 33498 34038 34560 35136 35712 36600 36864 37200 37220 37820 38400 39040 39680 40960 41175 41835 41850 43200 43920 44624 44640 44664 45384 46080 46525 46848 47275 47616 48800 49600 50202 50247 51057 51200 52704 53568 54900 55296 55780 55800 55830 56730 57600 57691 58560 59520 59552 60512 61440 62464 63488 65880 66936 66960 66996 68076 69120 69725 70272 71424 73200 73728 74400 74440 75303 75640 76800 78080 79360 82350 83670 83700 83745 85095 86400 86459 87840 89248 89280 89328 90768 92160 93050 93696 94550 95232 97600 99200 100404 100494 102114 102400 105408 107136 109800 110592 111560 111600 111660 113460 113521 115200 115382 117120 119040 119104 121024 122880 124928 125505 126976 131760 133872 133920 133992 136152 138240 139450 139575 140544 141825 142848 146400 148800 148880 150606 151280 153600 156160 158720 164700 167340 167400 167490 170129 170190 172800 172918 173073 175680 178496 178560 178656 181536 184320 186100 187392 189100 190464 195200 198400 200808 200988 204228 204800 209175 210816 214272 219600 221184 223120 223200 223320 226920 227042 230400 230764 234240 238080 238208 242048 249856 251010 251235 253952 255285 259377 263520 267744 267840 267984 272304 276480 278900 279150 281088 283650 285696 288455 292800 297600 297760 301212 302560 307200 312320 317440 329400 334680 334800 334980 340258 340380 340563 345600 345836 346146 351360 356992 357120 357312 363072 368640 372200 374784 376515 378200 380928 390400 396800 401616 401976 408456 418350 418725 421632 425475 428544 432295 439200 446240 446400 446640 453840 454084 460800 461528 468480 476160 476416 484096 499712 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56533893920640 58357567918080 59314249359360 60302820182016 62815437689600 64841742131200 67840672704768 70029081501696 70667367400800 72946959897600 74142811699200 75378525227520 80403760242688 84800840880960 87536351877120 88971374039040 90454230273024 94223156534400 97262613196800 98857082265600 100504700303360 106001051101200 109420439846400 111214217548800 113067787841280 116715135836160 120605640364032 125630875379200 135681345409536 141334734801600 145893919795200 148285623398400 150757050455040 169601681761920 175072703754240 177942748078080 180908460546048 188446313068800 194525226393600 201009400606720 212002102202400 218840879692800 222428435097600 226135575682560 241211280728064 251261750758400 271362690819072 282669469603200 291787839590400 296571246796800 301514100910080 339203363523840 350145407508480 361816921092096 376892626137600 402018801213440 424004204404800 437681759385600 444856870195200 452271151365120 502523501516800 542725381638144 565338939206400 583575679180800 603028201820160 678406727047680 723633842184192 753785252275200 848008408809600 875363518771200 889713740390400 904542302730240 1005047003033600 1085450763276288 1130677878412800 1206056403640320 1356813454095360 1507570504550400 1696016817619200 1750727037542400 1809084605460480 2010094006067200 2170901526552576 2261355756825600 2713626908190720 3015141009100800 3392033635238400 3618169210920960 4522711513651200 5427253816381440 6030282018201600 6784067270476800 9045423027302400 10854507632762880 13568134540953600 18090846054604800 27136269081907200 54272538163814400
- Sum of all divisors σ(n): 209382636553574400
- Sum of proper divisors (its aliquot sum) s(n): 155110098389760000
- 54272538163814400 is an abundant number, because the sum of its proper divisors (155110098389760000) is greater than itself. Its abundance is 100837560225945600
Bases of 54272538163814400
- Binary: 110000001101000010010101111111100101000000100000000000002
- Hexadecimal: 0xC0D095FE502000
- Base-36: EUE0BU3BPC0
Squares and roots of 54272538163814400
- 54272538163814400 squared (542725381638144002) is 2945508398742690524729557647360000
- 54272538163814400 cubed (542725381638144003) is 159860216982598514760619459833793847947689984000000
-
The
square root of 54272538163814400 is 232964671.4929420365 -
The
cube root of 54272538163814400 is 378611.1307269785
Scales and comparisons
How big is 54272538163814400?- 54,272,538,163,814,400 seconds is equal to 1,725,698,837 years, 32 weeks, 4 days.
-
To count from 1 to 54,272,538,163,814,400 would take you about five billion, one hundred seventy-seven million, ninety-six thousand, five hundred twelve 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 54272538163814400 cubic inches would be around 31550.9 feet tall.
Recreational maths with 54272538163814400
- 54272538163814400 backwards is 00441836183527245
- The number of decimal digits it has is: 17
- The sum of 54272538163814400's digits is 63
- More coming soon!
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MLA style:
"Number 54272538163814400 - Facts about the integer". Numbermatics.com. 2024. Web. 8 June 2024.
APA style:
Numbermatics. (2024). Number 54272538163814400 - Facts about the integer. Retrieved 8 June 2024, from https://numbermatics.com/n/54272538163814400/
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Numbermatics. 2024. "Number 54272538163814400 - Facts about the integer". https://numbermatics.com/n/54272538163814400/
The information we have on file for 54272538163814400 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!
Keywords: Divisors of 54272538163814400, math, Factors of 54272538163814400, curriculum, school, college, exams, university, Prime factorization of 54272538163814400, STEM, science, technology, engineering, physics, economics, calculator, fifty-four quadrillion, two hundred seventy-two trillion, five hundred thirty-eight billion, one hundred sixty-three million, eight hundred fourteen thousand, four hundred.