993764328890368
993,764,328,890,368 is an even composite number composed of six prime numbers multiplied together.
993764328890368 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 993764328890368:
213 × 72 × 19 × 97 × 1093 × 1229
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 7 × 7 × 19 × 97 × 1093 × 1229)See below for interesting mathematical facts about the number 993764328890368 from the Numbermatics database.
Names of 993764328890368
- Cardinal: 993764328890368 can be written as Nine hundred ninety-three trillion, seven hundred sixty-four billion, three hundred twenty-eight million, eight hundred ninety thousand, three hundred sixty-eight.
Scientific notation
- Scientific notation: 9.93764328890368 × 1014
Factors of 993764328890368
Divisors of 993764328890368
- Number of divisors d(n): 672
-
Complete list of divisors:
1 2 4 7 8 14 16 19 28 32 38 49 56 64 76 97 98 112 128 133 152 194 196 224 256 266 304 388 392 448 512 532 608 679 776 784 896 931 1024 1064 1093 1216 1229 1358 1552 1568 1792 1843 1862 2048 2128 2186 2432 2458 2716 3104 3136 3584 3686 3724 4096 4256 4372 4753 4864 4916 5432 6208 6272 7168 7372 7448 7651 8192 8512 8603 8744 9506 9728 9832 10864 12416 12544 12901 14336 14744 14896 15302 17024 17206 17488 19012 19456 19664 20767 21728 23351 24832 25088 25802 28672 29488 29792 30604 34048 34412 34976 38024 38912 39328 41534 43456 46702 49664 50176 51604 53557 57344 58976 59584 60221 61208 68096 68824 69952 76048 77824 78656 83068 86912 90307 93404 99328 100352 103208 106021 107114 117952 119168 119213 120442 122416 136192 137648 139904 145369 152096 155648 157312 163457 166136 173824 180614 186808 198656 200704 206416 212042 214228 235904 238336 238426 240884 244832 272384 275296 279808 290738 304192 314624 326914 332272 347648 361228 373616 397312 401408 412832 424084 428456 471808 476672 476852 481768 489664 544768 550592 559616 581476 608384 629248 653828 664544 695296 722456 742147 747232 794624 825664 834491 848168 856912 943616 953344 953704 963536 979328 1017583 1089536 1101184 1119232 1144199 1162952 1216768 1258496 1307656 1329088 1343297 1390592 1444912 1484294 1494464 1651328 1668982 1696336 1713824 1887232 1906688 1907408 1927072 1958656 2014399 2035166 2202368 2238464 2265047 2288398 2325904 2433536 2516992 2615312 2658176 2686594 2781184 2889824 2968588 2988928 3302656 3337964 3392672 3427648 3774464 3813376 3814816 3854144 3917312 4028798 4070332 4404736 4476928 4530094 4576796 4651808 4867072 5033984 5195029 5230624 5316352 5373188 5562368 5779648 5841437 5937176 5977856 6605312 6675928 6785344 6855296 7548928 7626752 7629632 7708288 7834624 8057596 8140664 8809472 8953856 9060188 9153592 9303616 9403079 9734144 10067968 10390058 10461248 10632704 10746376 11559296 11682874 11874352 11955712 13210624 13351856 13570688 13710592 14100793 15097856 15259264 15416576 15669248 15855329 16115192 16281328 17618944 18120376 18307184 18607232 18806158 19468288 20780116 20922496 21265408 21492752 23118592 23365748 23748704 23911424 25522643 26421248 26703712 27141376 27421184 28201586 30518528 30833152 31338496 31710658 32230384 32562656 35237888 36240752 36614368 37214464 37612316 38936576 41560232 41844992 42530816 42985504 46237184 46731496 47497408 47822848 51045286 52842496 53407424 54282752 54842368 56403172 61037056 61666304 62676992 63421316 64460768 65125312 65821553 70475776 72481504 73228736 74428928 75224632 83120464 83689984 85061632 85971008 92474368 93462992 94994816 95645696 98705551 102090572 105684992 106814848 108565504 109684736 110987303 112806344 122074112 123332608 126842632 128921536 130250624 130299809 131643106 144963008 146457472 148857856 150449264 166240928 167379968 170123264 171942016 178658501 184948736 186925984 189989632 191291392 197411102 204181144 213629696 217131008 219369472 221974606 225612688 244148224 246665216 253685264 257843072 260501248 260599618 263286212 289926016 292914944 297715712 300898528 332481856 334759936 343884032 357317002 369897472 373851968 379979264 394822204 408362288 427259392 434262016 438738944 443949212 451225376 488296448 493330432 507370528 515686144 521002496 521199236 526572424 579852032 585829888 595431424 601797056 664963712 669519872 687768064 714634004 739794944 747703936 759958528 789644408 816724576 854518784 868524032 887898424 902450752 912098663 976592896 1014741056 1031372288 1042004992 1042398472 1053144848 1159704064 1171659776 1190862848 1203594112 1250609507 1329927424 1339039744 1375536128 1429268008 1495407872 1519917056 1579288816 1633449152 1709037568 1775796848 1804901504 1824197326 2029482112 2062744576 2084009984 2084796944 2106289696 2319408128 2343319552 2407188224 2475696371 2501219014 2659854848 2751072256 2858536016 2990815744 3039834112 3158577632 3266898304 3418075136 3551593696 3609803008 3648394652 4058964224 4125489152 4168019968 4169593888 4212579392 4638816256 4686639104 4814376448 4951392742 5002438028 5319709696 5502144512 5717072032 5981631488 6079668224 6317155264 6384690641 6533796608 6836150272 7103187392 7219606016 7296789304 8117928448 8250978304 8336039936 8339187776 8425158784 9277632512 9373278208 9628752896 9902785484 10004876056 10639419392 11004289024 11434144064 11963262976 12634310528 12769381282 13067593216 14206374784 14439212032 14593578608 16235856896 16501956608 16678375552 16850317568 17329874597 18555265024 19257505792 19805570968 20009752112 21278838784 22868288128 23926525952 25268621056 25538762564 26135186432 28412749568 28878424064 29187157216 32471713792 33356751104 33700635136 34659749194 38515011584 39611141936 40019504224 42557677568 45736576256 47853051904 50537242112 51077525128 52270372864 56825499136 57756848128 58374314432 64943427584 66713502208 67401270272 69319498388 77030023168 79222283872 80039008448 91473152512 101074484224 102155050256 104540745728 113650998272 115513696256 116748628864 121309122179 129886855168 133427004416 134802540544 138638996776 158444567744 160078016896 182946305024 202148968448 204310100512 209081491456 227301996544 233497257728 242618244358 266854008832 269605081088 277277993552 316889135488 320156033792 365892610048 404297936896 408620201024 454603993088 466994515456 485236488716 533708017664 539210162176 554555987104 633778270976 640312067584 731785220096 808595873792 817240402048 909207986176 933989030912 970472977432 1067416035328 1109111974208 1267556541952 1280624135168 1463570440192 1634480804096 1867978061824 1940945954864 2218223948416 2535113083904 2561248270336 3268961608192 3735956123648 3881891909728 4436447896832 5070226167808 5122496540672 6537923216384 7471912247296 7763783819456 8872895793664 10140452335616 10244993081344 13075846432768 15527567638912 17745791587328 20280904671232 26151692865536 31055135277824 35491583174656 52303385731072 62110270555648 70983166349312 124220541111296 141966332698624 248441082222592 496882164445184 993764328890368
- Sum of all divisors σ(n): 2462900073631200
- Sum of proper divisors (its aliquot sum) s(n): 1469135744740832
- 993764328890368 is an abundant number, because the sum of its proper divisors (1469135744740832) is greater than itself. Its abundance is 475371415850464
Bases of 993764328890368
- Binary: 111000011111010010110010011101000001100000000000002
- Hexadecimal: 0x387D2C9D06000
- Base-36: 9S9D136PZ4
Squares and roots of 993764328890368
- 993764328890368 squared (9937643288903682) is 987567541374923499178163175424
- 993764328890368 cubed (9937643288903683) is 981409394988361583891103766415840265247916032
-
The
square root of 993764328890368 is 31524027.8024615377 -
The
cube root of 993764328890368 is 99791.7107534603
Scales and comparisons
How big is 993764328890368?- 993,764,328,890,368 seconds is equal to 31,598,631 years, 38 weeks, 4 days, 17 hours, 59 minutes, 28 seconds.
-
To count from 1 to 993,764,328,890,368 would take you about seventy-eight million, nine hundred ninety-six thousand, five hundred seventy-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 993764328890368 cubic inches would be around 8316 feet tall.
Recreational maths with 993764328890368
- 993764328890368 backwards is 863098823467399
- The number of decimal digits it has is: 15
- The sum of 993764328890368's digits is 85
- More coming soon!
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