5385977492044800
5,385,977,492,044,800 is an even composite number composed of eight prime numbers multiplied together.
What does the number 5385977492044800 look like?
This visualization shows the relationship between its 8 prime factors (large circles) and 2112 divisors.
5385977492044800 is an even composite number. It is composed of eight distinct prime numbers multiplied together. It has a total of two thousand, one hundred twelve divisors.
Prime factorization of 5385977492044800:
210 × 3 × 52 × 7 × 17 × 31 × 1093 × 17393
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 5 × 7 × 17 × 31 × 1093 × 17393)See below for interesting mathematical facts about the number 5385977492044800 from the Numbermatics database.
Names of 5385977492044800
- Cardinal: 5385977492044800 can be written as Five quadrillion, three hundred eighty-five trillion, nine hundred seventy-seven billion, four hundred ninety-two million, forty-four thousand, eight hundred.
Scientific notation
- Scientific notation: 5.3859774920448 × 1015
Factors of 5385977492044800
Divisors of 5385977492044800
- Number of divisors d(n): 2112
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Complete list of divisors:
1 2 3 4 5 6 7 8 10 12 14 15 16 17 20 21 24 25 28 30 31 32 34 35 40 42 48 50 51 56 60 62 64 68 70 75 80 84 85 93 96 100 102 105 112 119 120 124 128 136 140 150 155 160 168 170 175 186 192 200 204 210 217 224 238 240 248 255 256 272 280 300 310 320 336 340 350 357 372 384 400 408 420 425 434 448 465 476 480 496 510 512 525 527 544 560 595 600 620 640 651 672 680 700 714 744 768 775 800 816 840 850 868 896 930 952 960 992 1020 1024 1050 1054 1085 1088 1093 1120 1190 1200 1240 1275 1280 1302 1344 1360 1400 1428 1488 1536 1550 1581 1600 1632 1680 1700 1736 1785 1792 1860 1904 1920 1984 2040 2100 2108 2170 2176 2186 2240 2325 2380 2400 2480 2550 2560 2604 2635 2688 2720 2800 2856 2975 2976 3072 3100 3162 3200 3255 3264 3279 3360 3400 3472 3570 3584 3689 3720 3808 3840 3968 4080 4200 4216 4340 4352 4372 4480 4650 4760 4800 4960 5100 5120 5208 5270 5376 5425 5440 5465 5600 5712 5950 5952 6200 6324 6400 6510 6528 6558 6720 6800 6944 7140 7168 7378 7440 7616 7651 7680 7905 7936 8160 8400 8432 8680 8704 8744 8925 8960 9300 9520 9600 9920 10200 10416 10540 10752 10850 10880 10930 11067 11200 11424 11900 11904 12400 12648 12800 13020 13056 13116 13175 13440 13600 13888 14280 14756 14880 15232 15302 15360 15810 15872 16275 16320 16395 16800 16864 17360 17393 17408 17488 17850 17920 18445 18581 18600 19040 19200 19840 20400 20832 21080 21504 21700 21760 21860 22134 22400 22848 22953 23800 23808 24800 25296 25600 26040 26112 26232 26350 26880 27200 27325 27776 28560 29512 29760 30464 30604 31620 31744 32550 32640 32790 33600 33728 33883 34720 34786 34976 35700 35840 36890 37162 37200 38080 38255 38400 39525 39680 40800 41664 42160 43400 43520 43720 44268 44800 45696 45906 47600 47616 49600 50592 52080 52179 52224 52464 52700 53760 54400 54650 55335 55552 55743 57120 59024 59520 60928 61208 63240 65100 65280 65580 67200 67456 67766 69440 69572 69952 71400 73780 74324 74400 76160 76510 76800 79050 79360 81600 81975 83328 84320 86800 86965 87040 87440 88536 89600 91392 91812 92225 92905 95200 95232 99200 101184 101649 104160 104358 104928 105400 107520 108800 109300 110670 111104 111486 114240 114765 118048 119040 121751 121856 122416 126480 130067 130200 130560 131160 134400 134912 135532 138880 139144 139904 142800 147560 148648 148800 152320 153020 158100 158720 163200 163950 166656 168640 169415 173600 173930 174880 177072 179200 182784 183624 184450 185810 190400 191275 198400 202368 203298 208320 208716 209856 210800 217600 218600 221340 222208 222972 228480 229530 236096 237181 238080 243502 244832 252960 260134 260400 260895 261120 262320 268800 269824 271064 276675 277760 278288 278715 279808 285600 295120 295681 297296 297600 304640 306040 316200 326400 327900 333312 337280 338830 347200 347860 349760 354144 365253 365568 367248 368900 371620 380800 382550 390201 396800 404736 406596 416640 417432 419712 421600 434825 435200 437200 442680 445944 456960 459060 464525 472192 474362 476160 487004 489664 505920 508245 520268 520800 521790 524640 537600 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5129502373376 5259743644575 5280370090240 5429412794400 5610393220880 5657539382400 5791373647360 6011135593800 6205043193600 6336444108288 6411877966720 6600462612800 6732471865056 6949648376832 7012991526100 7239217059200 7543385843200 7694253560064 7920555135360 8014847458400 8273390924800 8415589831320 8687060471040 8976629153408 9052063011840 9617816950080 9900693919200 10220071142400 10259004746752 10519487289150 10560740180480 10858825588800 11220786441760 11315078764800 11582747294720 12022271187600 12410086387200 12672888216576 12823755933440 13200925225600 13464943730112 14025983052200 14478434118400 15086771686400 15388507120128 15841110270720 16029694916800 16831179662640 17374120942080 17953258306816 19235633900160 19801387838400 21038974578300 21121480360960 21717651177600 22441572883520 22630157529600 24044542375200 24820172774400 25647511866880 26401850451200 26929887460224 28051966104400 28956868236800 30777014240256 31682220541440 32059389833600 33662359325280 34748241884160 35906516613632 38471267800320 39602775676800 42077949156600 43435302355200 44883145767040 45260315059200 48089084750400 51295023733760 52803700902400 53859774920448 56103932208800 57913736473600 63364441082880 64118779667200 67324718650560 71813033227264 76942535600640 79205551353600 84155898313200 86870604710400 89766291534080 96178169500800 105607401804800 107719549840896 112207864417600 128237559334400 134649437301120 153885071201280 158411102707200 168311796626400 173741209420800 179532583068160 192356339001600 215439099681792 224415728835200 256475118668800 269298874602240 316822205414400 336623593252800 359065166136320 384712678003200 448831457670400 538597749204480 673247186505600 769425356006400 897662915340800 1077195498408960 1346494373011200 1795325830681600 2692988746022400 5385977492044800
- Sum of all divisors σ(n): 22257110706315264
- Sum of proper divisors (its aliquot sum) s(n): 16871133214270464
- 5385977492044800 is an abundant number, because the sum of its proper divisors (16871133214270464) is greater than itself. Its abundance is 11485155722225664
Bases of 5385977492044800
- Binary: 100110010001010000100100110110010111001111100000000002
- Hexadecimal: 0x1322849B2E7C00
- Base-36: 1H163WGY1HC
Squares and roots of 5385977492044800
- 5385977492044800 squared (53859774920448002) is 29008753544813193647285207040000
- 5385977492044800 cubed (53859774920448003) is 156240493664638666487723143097398320955392000000
-
The
square root of 5385977492044800 is 73389219.1813266263 -
The
cube root of 5385977492044800 is 175289.0731663539
Scales and comparisons
How big is 5385977492044800?- 5,385,977,492,044,800 seconds is equal to 171,257,424 years, 16 weeks, 6 days, 5 hours, 20 minutes.
-
To count from 1 to 5,385,977,492,044,800 would take you about five hundred thirteen million, seven hundred seventy-two thousand, two hundred seventy-two 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 5385977492044800 cubic inches would be around 14607.4 feet tall.
Recreational maths with 5385977492044800
- 5385977492044800 backwards is 0084402947795835
- 5385977492044800 is a
Harshad number . - The number of decimal digits it has is: 16
- The sum of 5385977492044800's digits is 75
- More coming soon!
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The information we have on file for 5385977492044800 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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