420728540085568000
420,728,540,085,568,000 is an even composite number composed of five prime numbers multiplied together.
420728540085568000 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of two thousand, five hundred sixty divisors.
Prime factorization of 420728540085568000:
29 × 53 × 113 × 133 × 1313
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 5 × 11 × 11 × 11 × 13 × 13 × 13 × 131 × 131 × 131)See below for interesting mathematical facts about the number 420728540085568000 from the Numbermatics database.
Names of 420728540085568000
- Cardinal: 420728540085568000 can be written as Four hundred twenty quadrillion, seven hundred twenty-eight trillion, five hundred forty billion, eighty-five million, five hundred sixty-eight thousand.
Scientific notation
- Scientific notation: 4.20728540085568 × 1017
Factors of 420728540085568000
Divisors of 420728540085568000
- Number of divisors d(n): 2560
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Complete list of divisors:
1 2 4 5 8 10 11 13 16 20 22 25 26 32 40 44 50 52 55 64 65 80 88 100 104 110 121 125 128 130 131 143 160 169 176 200 208 220 242 250 256 260 262 275 286 320 325 338 352 400 416 440 484 500 512 520 524 550 572 605 640 650 655 676 704 715 800 832 845 880 968 1000 1040 1048 1100 1144 1210 1280 1300 1310 1331 1352 1375 1408 1430 1441 1573 1600 1625 1664 1690 1703 1760 1859 1936 2000 2080 2096 2197 2200 2288 2420 2560 2600 2620 2662 2704 2750 2816 2860 2882 3025 3146 3200 3250 3275 3328 3380 3406 3520 3575 3718 3872 4000 4160 4192 4225 4394 4400 4576 4840 5200 5240 5324 5408 5500 5632 5720 5764 6050 6292 6400 6500 6550 6655 6656 6760 6812 7040 7150 7205 7436 7744 7865 8000 8320 8384 8450 8515 8788 8800 9152 9295 9680 10400 10480 10648 10816 10985 11000 11440 11528 12100 12584 12800 13000 13100 13310 13520 13624 14080 14300 14410 14872 15125 15488 15730 15851 16000 16375 16640 16768 16900 17030 17161 17303 17576 17600 17875 18304 18590 18733 19360 20449 20800 20960 21125 21296 21632 21970 22000 22139 22880 23056 24167 24200 25168 26000 26200 26620 27040 27248 28160 28600 28820 29744 30250 30976 31460 31702 32000 32750 33275 33280 33536 33800 34060 34322 34606 35152 35200 35750 36025 36608 37180 37466 38720 39325 40898 41600 41920 42250 42575 42592 43264 43940 44000 44278 45760 46112 46475 48334 48400 50336 52000 52400 53240 54080 54496 54925 57200 57640 59488 60500 61952 62920 63404 64000 65500 66550 67072 67600 68120 68644 69212 70304 70400 71500 72050 73216 74360 74932 77440 78650 79255 81796 83200 83840 84500 85150 85184 85805 86515 86528 87880 88000 88556 91520 92224 92950 93665 96668 96800 100672 102245 104000 104800 106480 108160 108992 109850 110695 114400 115280 118976 120835 121000 125840 126808 131000 133100 135200 136240 137288 138424 140608 140800 143000 144100 148720 149864 154880 157300 158510 163592 166375 166400 167680 169000 170300 170368 171610 173030 174361 175760 176000 177112 180125 183040 184448 185900 187330 188771 193336 193600 196625 201344 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267468874816000 291969840448000 294215762297600 298812883583500 305984392789504 311189748584000 316099579328000 321166824492800 323637338527360 328694171941850 347709537260800 367769702872000 382480490986880 401458530616000 404546673159200 420728540085568 434636921576000 478100613733600 497903597734400 505683341449000 525910675106960 588431524595200 597625767167000 622379497168000 642333648985600 647274677054720 657388343883700 695419074521600 735539405744000 764960981973760 802917061232000 809093346318400 821735429854625 841457080171136 869273843152000 956201227467200 1011366682898000 1051821350213920 1195251534334000 1244758994336000 1294549354109440 1314776687767400 1471078811488000 1529921963947520 1605834122464000 1618186692636800 1643470859709250 1682914160342272 1738547686304000 1912402454934400 2022733365796000 2103642700427840 2390503068668000 2489517988672000 2629553375534800 2942157622976000 3211668244928000 3236373385273600 3286941719418500 3365828320684544 3477095372608000 3824804909868800 4045466731592000 4207285400855680 4781006137336000 5259106751069600 6472746770547200 6573883438837000 7649609819737600 8090933463184000 8414570801711360 9562012274672000 10518213502139200 13147766877674000 16181866926368000 16829141603422720 19124024549344000 21036427004278400 26295533755348000 32363733852736000 38248049098688000 42072854008556800 52591067510696000 84145708017113600 105182135021392000 210364270042784000 420728540085568000
- Sum of all divisors σ(n): 1259679595635901440
- Sum of proper divisors (its aliquot sum) s(n): 838951055550333440
- 420728540085568000 is an abundant number, because the sum of its proper divisors (838951055550333440) is greater than itself. Its abundance is 418222515464765440
Bases of 420728540085568000
- Binary: 101110101101011101001100000110010101010101101000010000000002
- Hexadecimal: 0x5D6BA60CAAB4200
- Base-36: 372NTJ1XYB5S
Squares and roots of 420728540085568000
- 420728540085568000 squared (4207285400855680002) is 177012504442533399428761882624000000
- 420728540085568000 cubed (4207285400855680003) is 74474212570997197023038518806367185732370432000000000
-
The
square root of 420728540085568000 is 648635907.1818087377 -
420728540085568000 is a
perfect cube number . Itscube root is 749320
Scales and comparisons
How big is 420728540085568000?- 420,728,540,085,568,000 seconds is equal to 13,377,866,175 years, 46 weeks, 5 days, 9 hours, 46 minutes, 40 seconds.
-
To count from 1 to 420,728,540,085,568,000 would take you about forty billion, one hundred thirty-three million, five hundred ninety-eight thousand, five hundred twenty-seven 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 420728540085568000 cubic inches would be around 62443.3 feet tall.
Recreational maths with 420728540085568000
- 420728540085568000 backwards is 000865580045827024
- 420728540085568000 is a
Harshad number . - The number of decimal digits it has is: 18
- The sum of 420728540085568000's digits is 64
- More coming soon!
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"Number 420728540085568000 - Facts about the integer". Numbermatics.com. 2024. Web. 22 May 2024.
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Numbermatics. (2024). Number 420728540085568000 - Facts about the integer. Retrieved 22 May 2024, from https://numbermatics.com/n/420728540085568000/
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The information we have on file for 420728540085568000 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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