54978535004000400
54,978,535,004,000,400 is an even composite number composed of six prime numbers multiplied together.
What does the number 54978535004000400 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 2835 divisors.
54978535004000400 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of two thousand, eight hundred thirty-five divisors.
Prime factorization of 54978535004000400:
24 × 36 × 52 × 132 × 1272 × 2632
(2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 3 × 5 × 5 × 13 × 13 × 127 × 127 × 263 × 263)See below for interesting mathematical facts about the number 54978535004000400 from the Numbermatics database.
Names of 54978535004000400
- Cardinal: 54978535004000400 can be written as Fifty-four quadrillion, nine hundred seventy-eight trillion, five hundred thirty-five billion, four million, four hundred.
Scientific notation
- Scientific notation: 5.49785350040004 × 1016
Factors of 54978535004000400
Divisors of 54978535004000400
- Number of divisors d(n): 2835
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Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 13 15 16 18 20 24 25 26 27 30 36 39 40 45 48 50 52 54 60 65 72 75 78 80 81 90 100 104 108 117 120 127 130 135 144 150 156 162 169 180 195 200 208 216 225 234 240 243 254 260 263 270 300 312 324 325 338 351 360 381 390 400 405 432 450 468 486 507 508 520 526 540 585 600 624 635 648 650 675 676 702 720 729 762 780 789 810 845 900 936 972 975 1014 1016 1040 1052 1053 1080 1143 1170 1200 1215 1270 1296 1300 1315 1350 1352 1404 1458 1521 1524 1560 1578 1620 1651 1690 1755 1800 1872 1905 1944 1950 2025 2028 2032 2104 2106 2160 2286 2340 2367 2430 2535 2540 2600 2630 2700 2704 2808 2916 2925 3042 3048 3120 3156 3159 3175 3240 3302 3380 3419 3429 3510 3600 3645 3810 3888 3900 3945 4050 4056 4208 4212 4225 4563 4572 4680 4734 4860 4953 5070 5080 5200 5260 5265 5400 5616 5715 5832 5850 6075 6084 6096 6312 6318 6350 6480 6575 6604 6760 6838 6858 7020 7101 7290 7605 7620 7800 7890 8100 8112 8255 8424 8450 8775 9126 9144 9360 9468 9477 9525 9720 9906 10140 10160 10257 10287 10520 10530 10800 11430 11664 11700 11835 12150 12168 12624 12636 12675 12700 13150 13208 13520 13676 13689 13716 14040 14202 14580 14859 15210 15240 15600 15780 15795 16129 16200 16510 16848 16900 17095 17145 17550 18225 18252 18288 18936 18954 19050 19440 19725 19812 20280 20514 20574 21040 21060 21303 21463 22815 22860 23400 23670 24300 24336 24765 25272 25350 25400 26300 26325 26416 27352 27378 27432 28080 28404 28575 29160 29718 30420 30480 30771 30861 31560 31590 32258 32400 33020 33401 33800 34190 34290 35100 35505 36450 36504 37872 37908 38025 38100 39450 39624 40560 41028 41067 41148 41275 42120 42606 42926 44447 44577 45630 45720 46800 47340 47385 48387 48600 49530 50544 50700 50800 51285 51435 52600 52650 54704 54756 54864 56808 57150 58320 59175 59436 60840 61542 61722 63120 63180 63909 64389 64516 66040 66802 67600 68380 68445 68580 69169 70200 71010 72900 73008 74295 75816 76050 76200 78900 78975 79248 80645 82056 82134 82296 82550 84240 85212 85475 85725 85852 88894 89154 91260 91440 92313 92583 94680 94770 96774 97200 99060 100203 101400 102570 102870 105200 105300 106515 107315 109512 113616 114075 114300 118350 118872 121680 123084 123201 123444 123825 126360 127818 128778 129032 132080 133341 133604 133731 136760 136890 137160 138338 140400 142020 145161 145800 148590 151632 152100 152400 153855 154305 157800 157950 161290 164112 164268 164592 165100 167005 170424 170950 171450 171704 177525 177788 178308 182520 184626 185166 189360 189540 191727 193167 193548 198120 200406 202800 205140 205335 205740 207507 209677 210600 213030 214630 219024 222235 222885 228150 228600 236700 236925 237744 241935 246168 246402 246888 247650 252720 255636 256425 257175 257556 258064 266682 267208 267462 273520 273780 274320 276676 276939 284040 290322 291600 297180 300609 304200 307710 308610 315600 315900 319545 321945 322580 328536 330200 334010 340848 341900 342225 342900 343408 345845 355050 355576 356616 365040 369252 370332 371475 379080 383454 386334 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169686836432100 176213253217950 183261783346668 203624203718520 209043859330800 211455903861540 216450925212600 226249115242800 229077229183335 234951004290600 244349044462224 254530254648150 264319879826925 274892675020002 281941205148720 305436305577780 325316775171600 339373672864200 352426506435900 366523566693336 381795381972225 407248407437040 422911807723080 432901850425200 458154458366670 469902008581200 509060509296300 528639759653850 549785350040004 610872611155560 678747345728400 687231687550005 704853012871800 733047133386672 763590763944450 845823615446160 916308916733340 1018121018592600 1057279519307700 1099570700080008 1145386145916675 1221745222311120 1374463375100010 1409706025743600 1527181527888900 1832617833466680 2036242037185200 2114559038615400 2199141400160016 2290772291833350 2748926750200020 3054363055777800 3436158437750025 3665235666933360 4229118077230800 4581544583666700 5497853500400040 6108726111555600 6872316875500050 9163089167333400 10995707000800080 13744633751000100 18326178334666800 27489267502000200 54978535004000400
- Sum of all divisors σ(n): 216970642661278779
- Sum of proper divisors (its aliquot sum) s(n): 161992107657278379
- 54978535004000400 is an abundant number, because the sum of its proper divisors (161992107657278379) is greater than itself. Its abundance is 107013572653277979
Bases of 54978535004000400
- Binary: 110000110101001010101111101100010010111101010000100100002
- Hexadecimal: 0xC352AFB12F5090
- Base-36: F1C9IB1O900
Squares and roots of 54978535004000400
- 54978535004000400 squared (549785350040004002) is 3022639311186097262844003200160000
- 54978535004000400 cubed (549785350040004003) is 166180281174512506179142092970389716001920064000000
-
54978535004000400 is a
perfect square number . Itssquare root is 234475020 -
The
cube root of 54978535004000400 is 380245.7666936993
Scales and comparisons
How big is 54978535004000400?- 54,978,535,004,000,400 seconds is equal to 1,748,147,353 years, 18 weeks, 2 days, 9 hours.
-
To count from 1 to 54,978,535,004,000,400 would take you about five billion, two hundred forty-four million, four hundred forty-two thousand and sixty 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 54978535004000400 cubic inches would be around 31687.1 feet tall.
Recreational maths with 54978535004000400
- 54978535004000400 backwards is 00400040053587945
- 54978535004000400 is a
Harshad number . - The number of decimal digits it has is: 17
- The sum of 54978535004000400's digits is 54
- More coming soon!
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Cite this page
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"Number 54978535004000400 - Facts about the integer". Numbermatics.com. 2024. Web. 24 May 2024.
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Numbermatics. (2024). Number 54978535004000400 - Facts about the integer. Retrieved 24 May 2024, from https://numbermatics.com/n/54978535004000400/
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The information we have on file for 54978535004000400 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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