989945346014800
989,945,346,014,800 is an even composite number composed of six prime numbers multiplied together.
989945346014800 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of five hundred forty divisors.
Prime factorization of 989945346014800:
24 × 52 × 72 × 257 × 4572 × 941
(2 × 2 × 2 × 2 × 5 × 5 × 7 × 7 × 257 × 457 × 457 × 941)See below for interesting mathematical facts about the number 989945346014800 from the Numbermatics database.
Names of 989945346014800
- Cardinal: 989945346014800 can be written as Nine hundred eighty-nine trillion, nine hundred forty-five billion, three hundred forty-six million, fourteen thousand, eight hundred.
Scientific notation
- Scientific notation: 9.899453460148 × 1014
Factors of 989945346014800
Divisors of 989945346014800
- Number of divisors d(n): 540
-
Complete list of divisors:
1 2 4 5 7 8 10 14 16 20 25 28 35 40 49 50 56 70 80 98 100 112 140 175 196 200 245 257 280 350 392 400 457 490 514 560 700 784 914 941 980 1028 1225 1285 1400 1799 1828 1882 1960 2056 2285 2450 2570 2800 3199 3598 3656 3764 3920 4112 4570 4705 4900 5140 6398 6425 6587 7196 7312 7528 8995 9140 9410 9800 10280 11425 12593 12796 12850 13174 14392 15056 15995 17990 18280 18820 19600 20560 22393 22850 23525 25186 25592 25700 26348 28784 31990 32935 35980 36560 37640 44786 44975 45700 46109 47050 50372 51184 51400 52696 62965 63980 65870 71960 75280 79975 89572 89950 91400 92218 94100 100744 102800 105392 111965 117449 125930 127960 131740 143920 159950 164675 179144 179900 182800 184436 188200 201488 208849 223930 230545 234898 241837 251860 255920 263480 314825 319900 329350 358288 359800 368872 376400 417698 430037 447860 461090 469796 483674 503720 526960 559825 587245 629650 639800 658700 719600 737744 822143 835396 860074 895720 922180 939592 967348 1007440 1044245 1119650 1152725 1174490 1209185 1259300 1279600 1317400 1461943 1644286 1670792 1692859 1720148 1791440 1844360 1879184 1934696 2088490 2150185 2239300 2305450 2348980 2418370 2518600 2634800 2923886 2936225 3010259 3288572 3341584 3385718 3440296 3688720 3869392 4110715 4176980 4300370 4478600 4610900 4697960 4836740 5037200 5221225 5755001 5847772 5872450 6020518 6045925 6577144 6771436 6880592 7309715 8221430 8353960 8464295 8600740 8957200 9221800 9395920 9673480 10233601 10442450 10750925 11510002 11695544 11744900 11850013 12041036 12091850 13154288 13542872 14619430 15051295 16442860 16707920 16928590 17201480 18443600 19346960 20467202 20553575 20884900 21071813 21501850 23020004 23391088 23489800 23700026 24082072 24183700 27085744 28775005 29238860 30102590 32885720 33857180 34402960 36548575 40934404 41107150 41769800 42143626 42321475 43003700 46040008 46979600 47400052 48164144 48367400 51168005 53674193 57550010 58477720 59250065 60205180 65771440 67714360 73097150 75256475 81868808 82214300 83539600 84287252 84642950 86007400 92080016 94800104 96734800 102336010 105359065 107348386 110519509 115100020 116955440 118500130 120410360 135428720 143875025 146194300 150512950 163737616 164428600 168574504 169285900 172014800 189600208 196526909 204672020 210718130 214696772 221039018 230200040 237000260 240820720 255840025 268370965 287750050 292388600 296250325 301025900 328857200 337149008 338571800 375719351 393053818 409344040 421436260 429393544 442078036 460400080 474000520 511680050 526795325 536741930 552597545 575500100 584777200 592500650 602051800 677143600 751438702 773636563 786107636 818688080 842872520 858787088 884156072 948001040 982634545 1023360100 1053590650 1073483860 1105195090 1151000200 1185001300 1204103600 1341854825 1375688363 1502877404 1547273126 1572215272 1685745040 1768312144 1878596755 1965269090 2046720200 2107181300 2146967720 2210390180 2302000400 2370002600 2630035457 2683709650 2751376726 2762987725 3005754808 3094546252 3144430544 3757193510 3868182815 3930538180 4093440400 4214362600 4293935440 4420780360 4740005200 4913172725 5260070914 5367419300 5415455941 5502753452 5525975450 6011509616 6189092504 6878441815 7514387020 7736365630 7861076360 8428725200 8841560720 9392983775 9629818541 9826345450 10520141828 10734838600 10830911882 11005506904 11051950900 12378185008 13150177285 13756883630 15028774040 15472731260 15722152720 18785967550 19259637082 19340914075 19652690900 21040283656 21469677200 21661823764 22011013808 22103901800 26300354570 27077279705 27513767260 30057548080 30945462520 34392209075 37571935100 38519274164 38681828150 39305381800 42080567312 43323647528 44207803600 48149092705 50507415613 52600709140 54154559410 55027534520 61890925040 65750886425 68784418150 75143870200 77038548328 77363656300 78610763600 86647295056 96298185410 101014831226 105201418280 108309118820 110055069040 131501772850 135386398525 137568836300 150287740400 154077096656 154727312600 192596370820 202029662452 210402836560 216618237640 240745463525 252537078065 263003545700 270772797050 275137672600 309454625200 353551909291 385192741640 404059324904 433236475280 481490927050 505074156130 526007091400 541545594100 550275345200 707103818582 770385483280 808118649808 962981854100 1010148312260 1052014182800 1083091188200 1262685390325 1414207637164 1767759546455 1925963708200 2020296624520 2166182376400 2474863365037 2525370780650 2828415274328 3535519092910 3851927416400 4040593249040 4949726730074 5050741561300 5656830548656 7071038185820 8838797732275 9899453460148 10101483122600 12374316825185 14142076371640 17677595464550 19798906920296 20202966245200 24748633650370 28284152743280 35355190929100 39597813840592 49497267300740 61871584125925 70710381858200 98994534601480 123743168251850 141420763716400 197989069202960 247486336503700 494972673007400 989945346014800
- Sum of all divisors σ(n): 2786458665520404
- Sum of proper divisors (its aliquot sum) s(n): 1796513319505604
- 989945346014800 is an abundant number, because the sum of its proper divisors (1796513319505604) is greater than itself. Its abundance is 806567973490804
Bases of 989945346014800
- Binary: 111000010001011001100111001011001000111110010100002
- Hexadecimal: 0x384599CB23E50
- Base-36: 9QWMM3DW0G
Squares and roots of 989945346014800
- 989945346014800 squared (9899453460148002) is 979991788096362098241819040000
- 989945346014800 cubed (9899453460148003) is 970138309758715737149109700276166761792000000
-
The
square root of 989945346014800 is 31463396.9242801245 -
The
cube root of 989945346014800 is 99663.7152605527
Scales and comparisons
How big is 989945346014800?- 989,945,346,014,800 seconds is equal to 31,477,199 years, 46 weeks, 6 days, 1 hour, 26 minutes, 40 seconds.
-
To count from 1 to 989,945,346,014,800 would take you about seventy-eight million, six hundred ninety-two thousand, nine hundred ninety-nine 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 989945346014800 cubic inches would be around 8305.3 feet tall.
Recreational maths with 989945346014800
- 989945346014800 backwards is 008410643549989
- 989945346014800 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 989945346014800's digits is 70
- More coming soon!
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