993372025987264
993,372,025,987,264 is an even composite number composed of six prime numbers multiplied together.
What does the number 993372025987264 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 672 divisors.
993372025987264 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of six hundred seventy-two divisors.
Prime factorization of 993372025987264:
26 × 73 × 112 × 19 × 277 × 71059
(2 × 2 × 2 × 2 × 2 × 2 × 7 × 7 × 7 × 11 × 11 × 19 × 277 × 71059)See below for interesting mathematical facts about the number 993372025987264 from the Numbermatics database.
Names of 993372025987264
- Cardinal: 993372025987264 can be written as Nine hundred ninety-three trillion, three hundred seventy-two billion, twenty-five million, nine hundred eighty-seven thousand, two hundred sixty-four.
Scientific notation
- Scientific notation: 9.93372025987264 × 1014
Factors of 993372025987264
Divisors of 993372025987264
- Number of divisors d(n): 672
-
Complete list of divisors:
1 2 4 7 8 11 14 16 19 22 28 32 38 44 49 56 64 76 77 88 98 112 121 133 152 154 176 196 209 224 242 266 277 304 308 343 352 392 418 448 484 532 539 554 608 616 686 704 784 836 847 931 968 1064 1078 1108 1216 1232 1372 1463 1568 1672 1694 1862 1936 1939 2128 2156 2216 2299 2464 2744 2926 3047 3136 3344 3388 3724 3773 3872 3878 4256 4312 4432 4598 4928 5263 5488 5852 5929 6094 6517 6688 6776 7448 7546 7744 7756 8512 8624 8864 9196 10241 10526 10976 11704 11858 12188 13034 13376 13552 13573 14896 15092 15512 16093 17248 17728 18392 20482 21052 21329 21952 23408 23716 24376 26068 27104 27146 29792 30184 31024 32186 33517 34496 36784 36841 40964 41503 42104 42658 46816 47432 48752 52136 54208 54292 57893 59584 60368 62048 64372 67034 71059 71687 73568 73682 81928 83006 84208 85316 93632 94864 95011 97504 104272 108584 112651 115786 120736 124096 128744 134068 142118 143374 147136 147364 149303 163856 166012 168416 170632 189728 190022 195008 208544 217168 225302 231572 234619 241472 257488 257887 268136 284236 286748 294728 298606 327712 332024 336832 341264 379456 380044 405251 417088 434336 450604 463144 469238 497413 514976 515774 536272 568472 573496 589456 597212 636823 655424 664048 682528 760088 781649 788557 810502 868672 901208 926288 938476 994826 1029952 1031548 1045121 1072544 1136944 1146992 1178912 1194424 1273646 1328096 1350121 1365056 1520176 1563298 1577114 1621004 1642333 1802416 1805209 1852576 1876952 1989652 2063096 2090242 2145088 2273888 2293984 2357824 2388848 2547292 2656192 2700242 2836757 3040352 3126596 3154228 3242008 3284666 3481891 3604832 3610418 3705152 3753904 3979304 4126192 4180484 4457761 4547776 4587968 4777696 5094584 5400484 5471543 5673514 6080704 6253192 6308456 6484016 6569332 6963782 7209664 7220836 7507808 7958608 8252384 8360968 8598139 8915522 9450847 9555392 10189168 10800968 10943086 11347028 11496331 12506384 12616912 12968032 13138664 13927564 14441672 14851331 15015616 15917216 16504768 16721936 17196278 17831044 18901694 19683343 19857299 20378336 21601936 21886172 22694056 22992662 24373237 25012768 25233824 25936064 26277328 27855128 28883344 29702662 31204327 31834432 33443872 34392556 35662088 37803388 38300801 39366686 39714598 40756672 43203872 43772344 45388112 45985324 48746474 50025536 50467648 52554656 55710256 57766688 59405324 60186973 62408654 66155929 66887744 68785112 71324176 75606776 76601602 78733372 79429196 86407744 87544688 90776224 91970648 97492948 103959317 105109312 111420512 115533376 118810648 120373946 124817308 132311858 137570224 137783401 142648352 151213552 153203204 157466744 158858392 163364641 175089376 181552448 183941296 194985896 207918634 216516773 218430289 222841024 237621296 240747892 249634616 264623716 268105607 275140448 275566802 285296704 302427104 306406408 314933488 317716784 326729282 350178752 367882592 373983517 389971792 415837268 421308811 433033546 436860578 463091503 475242592 481495784 499269232 529247432 536211214 550280896 551133604 604854208 612812816 629866976 635433568 653458564 727715219 735765184 747967034 779943584 831674536 842617622 866067092 873721156 926183006 950485184 962991568 964483807 998538464 1058494864 1072422428 1102267208 1143552487 1225625632 1259733952 1270867136 1306917128 1455430438 1495934068 1515617411 1559887168 1663349072 1685235244 1732134184 1747442312 1852366012 1925983136 1928967614 1997076928 2116989728 2144844856 2204534416 2287104974 2381684503 2451251264 2613834256 2617884619 2910860876 2949161677 2991868136 3031234822 3326698144 3370470488 3464268368 3494884624 3704732024 3851966272 3857935228 4113818687 4233979456 4289689712 4409068832 4574209948 4763369006 5094006533 5227668512 5235769238 5821721752 5898323354 5983736272 6062469644 6653396288 6740940976 6751386649 6928536736 6989769248 7409464048 7715870456 8004867409 8227637374 8579379424 8818137664 9148419896 9526738012 10188013066 10455337024 10471538476 10609321877 11643443504 11796646708 11967472544 12124939288 13481881952 13502773298 13857073472 13979538496 14818928096 15431740912 16009734818 16455274748 16671791521 17158758848 18296839792 18325192333 19053476024 20376026132 20943076952 21218643754 23286887008 23593293416 23934945088 24249878576 26963763904 27005546596 28796730809 29637856192 30863481824 32019469636 32910549496 33343583042 36593679584 36650384666 38106952048 40752052264 41886153904 42437287508 45252005557 46573774016 47186586832 48499757152 54011093192 56034071863 57593461618 61726963648 64038939272 65821098992 66687166084 73187359168 73300769332 74265253139 76213904096 81504104528 83772307808 84874575016 90504011114 94373173664 96999514304 108022186384 112068143726 115186923236 116702540647 128077878544 128276346331 131642197984 133374332168 146601538664 148530506278 152427808192 163008209056 167544615616 169749150032 181008022228 188746347328 201577115663 216044372768 224136287452 230373846472 233405081294 256155757088 256552692662 263284395968 266748664336 293203077328 297061012556 316764038899 326016418112 339498300064 362016044456 403154231326 432088745536 448272574904 460747692944 466810162588 512311514176 513105385324 533497328672 586406154656 594122025112 633528077798 678996600128 724032088912 806308462652 816917784529 896545149808 921495385888 933620325176 1026210770648 1066994657344 1172812309312 1188244050224 1267056155596 1411039809641 1448064177824 1612616925304 1633835569058 1793090299616 1842990771776 1867240650352 2052421541296 2217348272293 2376488100448 2534112311192 2822079619282 2896128355648 3225233850608 3267671138116 3586180599232 3734481300704 4104843082592 4434696544586 4752976200896 5068224622384 5644159238564 6450467701216 6535342276232 7468962601408 8209686165184 8869393089172 10136449244768 11288318477128 12900935402432 13070684552464 15521437906051 17738786178344 20272898489536 22576636954256 26141369104928 31042875812102 35477572356688 45153273908512 52282738209856 62085751624204 70955144713376 90306547817024 124171503248408 141910289426752 248343006496816 496686012993632 993372025987264
- Sum of all divisors σ(n): 2669410399040000
- Sum of proper divisors (its aliquot sum) s(n): 1676038373052736
- 993372025987264 is an abundant number, because the sum of its proper divisors (1676038373052736) is greater than itself. Its abundance is 682666347065472
Bases of 993372025987264
- Binary: 111000011101110111011100101011110100100000110000002
- Hexadecimal: 0x3877772BD20C0
- Base-36: 9S4CT460N4
Squares and roots of 993372025987264
- 993372025987264 squared (9933720259872642) is 986787982014041503753890205696
- 993372025987264 cubed (9933720259872643) is 980247576913172237293157686421982714436255744
-
The
square root of 993372025987264 is 31517804.9043277123 -
The
cube root of 993372025987264 is 99778.5776160499
Scales and comparisons
How big is 993372025987264?- 993,372,025,987,264 seconds is equal to 31,586,157 years, 37 weeks, 4 days, 21 hours, 21 minutes, 4 seconds.
-
To count from 1 to 993,372,025,987,264 would take you about seventy-eight million, nine hundred sixty-five thousand, three hundred ninety-four 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 993372025987264 cubic inches would be around 8314.9 feet tall.
Recreational maths with 993372025987264
- 993372025987264 backwards is 462789520273399
- 993372025987264 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 993372025987264's digits is 76
- More coming soon!
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