12838251319790976
12,838,251,319,790,976 is an even composite number composed of six prime numbers multiplied together.
12838251319790976 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one thousand, nine hundred twenty divisors.
Prime factorization of 12838251319790976:
27 × 33 × 23 × 314 × 47 × 612
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 23 × 31 × 31 × 31 × 31 × 47 × 61 × 61)See below for interesting mathematical facts about the number 12838251319790976 from the Numbermatics database.
Names of 12838251319790976
- Cardinal: 12838251319790976 can be written as Twelve quadrillion, eight hundred thirty-eight trillion, two hundred fifty-one billion, three hundred nineteen million, seven hundred ninety thousand, nine hundred seventy-six.
Scientific notation
- Scientific notation: 1.2838251319790976 × 1016
Factors of 12838251319790976
Divisors of 12838251319790976
- Number of divisors d(n): 1920
-
Complete list of divisors:
1 2 3 4 6 8 9 12 16 18 23 24 27 31 32 36 46 47 48 54 61 62 64 69 72 92 93 94 96 108 122 124 128 138 141 144 183 184 186 188 192 207 216 244 248 276 279 282 288 366 368 372 376 384 414 423 432 488 496 549 552 558 564 576 621 713 732 736 744 752 828 837 846 864 961 976 992 1081 1098 1104 1116 1128 1152 1242 1269 1403 1426 1457 1464 1472 1488 1504 1647 1656 1674 1692 1728 1891 1922 1952 1984 2139 2162 2196 2208 2232 2256 2484 2538 2806 2852 2867 2883 2914 2928 2944 2976 3008 3243 3294 3312 3348 3384 3456 3721 3782 3844 3904 3968 4209 4278 4324 4371 4392 4416 4464 4512 4968 5076 5612 5673 5704 5734 5766 5828 5856 5952 6016 6417 6486 6588 6624 6696 6768 7442 7564 7688 7808 8418 8556 8601 8648 8649 8742 8784 8832 8928 9024 9729 9936 10152 11163 11224 11346 11408 11468 11532 11656 11712 11904 12627 12834 12972 13113 13176 13248 13392 13536 14884 15128 15376 16836 17019 17112 17202 17296 17298 17484 17568 17856 18048 19251 19458 19872 20304 22103 22326 22448 22692 22816 22936 23064 23312 23424 25254 25668 25803 25944 25947 26226 26352 26496 26784 27072 29187 29768 29791 30256 30752 33489 33511 33672 34038 34224 34404 34592 34596 34968 35136 35712 37881 38502 38916 39339 39744 40608 43493 44206 44652 44896 45167 45384 45632 45872 46128 46624 50508 51057 51336 51606 51888 51894 52452 52704 53568 54144 58374 58621 59536 59582 60512 61504 65941 66309 66978 67022 67344 68076 68448 68808 69184 69192 69936 70272 75762 77004 77409 77832 78678 79488 81216 85583 86986 88412 88877 89304 89373 89792 90334 90768 91264 91744 92256 93248 100467 100533 101016 102114 102672 103212 103776 103788 104904 105408 107136 115351 116748 117242 119072 119164 121024 123008 130479 131882 132618 133956 134044 134688 135501 136152 136896 137616 138368 138384 139872 151524 154008 154818 155664 157356 162432 171166 173972 174887 175863 176824 177754 178608 178746 179584 180668 181536 183488 184512 186496 197823 198927 200934 201066 202032 204228 205344 206424 207552 207576 209808 210816 230702 233496 234484 238144 238328 242048 256749 260958 263764 265236 266631 267912 268088 268119 269376 271002 272304 273792 275232 276768 279744 301599 303048 308016 309636 311328 314712 342332 346053 347944 349774 351726 353648 355508 357216 357492 361336 363072 366976 369024 391437 395646 397854 401868 402132 404064 406503 408456 410688 412848 415104 415152 419616 461404 466992 468968 476288 476656 513498 521916 524661 527528 527589 530472 533262 535824 536176 536238 538752 542004 544608 550464 553536 559488 593469 596781 603198 606096 616032 619272 622656 629424 684664 685193 692106 695888 699548 703452 707296 711016 714432 714984 722672 726144 770247 782874 791292 795708 799893 803736 804264 804357 808128 813006 816912 821376 825696 830304 839232 904797 922808 923521 933984 937936 953312 1026996 1038159 1038841 1043832 1049322 1055056 1055178 1060944 1066524 1071648 1072352 1072476 1084008 1089216 1100928 1107072 1174311 1186938 1193562 1206396 1212192 1219509 1232064 1238544 1245312 1258848 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37502340768 40793650448 41237059692 41462398816 41680468936 42363755312 42567287424 45892856754 46386328332 46645198668 46890527553 47146759944 47373271488 47659224726 47882661504 47888198352 47919657648 48149882496 48403125216 48673250784 49196619072 50003121024 53040104937 53867994192 53909614854 54751076064 54982746256 55648634688 60897898261 61190475672 61848437776 61855589538 62193598224 62520703404 62862346592 63545632968 63850931136 63892876864 64537500288 64897667712 68839285131 69579492498 69967798002 70720139916 71059907232 71488837089 71823992256 71879486472 72224823744 72604687824 73001434752 73408837248 73794928608 75004681536 79037697743 81587300896 82474119384 82924797632 83360937872 84727510624 91785713508 92772656664 92783384307 93290397336 93781055106 94293519888 94746542976 95318449452 95776396704 95839315296 96806250432 97346501568 98393238144 104369238747 106080209874 107735988384 107819229708 109502152128 109965492512 111297269376 119831348191 121795796522 122380951344 123696875552 123711179076 124387196448 125041406808 125724693184 127091265936 127701862272 127785753728 137678570262 139158984996 139935596004 140671582659 141440279832 142119814464 142977674178 143647984512 143758972944 144449647488 145209375648 147589857216 150009363072 158075395486 161511817127 163174601792 164948238768 165849595264 166721875744 169455021248 182693694783 183571427016 185545313328 185566768614 186580794672 187562110212 188587039776 190636898904 191552793408 191678630592 193612500864 194693003136 208738477494 212160419748 215471976768 215638459416 219004304256 219930985024 237113093229 239662696382 243591593044 244761902688 247393751104 247422358152 248774392896 250082813616 251449386368 254182531872 275357140524 278317969992 279871192008 281343165318 282880559664 284239628928 285955348356 287517945888 290418751296 295179714432 316150790972 323023634254 326349203584 329896477536 333443751488 338910042496 359494044573 365387389566 367142854032 371090626656 371133537228 373161589344 375124220424 377174079552 381273797808 383105586816 383357261184 417476954988 424320839496 430943953536 431276918832 439861970048 474226186458 479325392764 484535451381 487183186088 489523805376 494787502208 494844716304 497548785792 500165627232 508365063744 548081084349 550714281048 556635939984 559742384016 562686330636 565761119328 571910696712 575035891776 580837502592 632301581944 646047268508 659792955072 666887502976 711339279687 718988089146 730774779132 734285708064 742181253312 742267074456 746323178688 750248440848 754348159104 762547595616 834953909976 848641678992 862553837664 948452372916 958650785528 969070902762 974366372176 979047610752 989689432608 1000331254464 1016730127488 1078482133719 1096162168698 1101428562096 1113271879968 1119484768032 1125372661272 1131522238656 1143821393424 1150071783552 1264603163888 1292094537016 1319585910144 1422678559374 1437976178292 1453606354143 1461549558264 1468571416128 1484362506624 1484534148912 1492646357376 1500496881696 1525095191232 1644243253047 1669907819952 1697283357984 1725107675328 1896904745832 1917301571056 1938141805524 1948732744352 1979378865216 2000662508928 2134017839061 2156964267438 2192324337396 2202857124192 2226543759936 2238969536064 2250745322544 2263044477312 2287642786848 2529206327776 2584189074032 2845357118748 2875952356584 2907212708286 2923099116528 2937142832256 2969068297824 3000993763392 3050190382464 3235446401157 3288486506094 3339815639904 3394566715968 3450215350656 3714771793921 3793809491664 3834603142112 3876283611048 3897465488704 3958757730432 4268035678122 4313928534876 4360819062429 4384648674792 4405714248384 4453087519872 4477939072128 4501490645088 4575285573696 5058412655552 5168378148064 5690714237496 5751904713168 5814425416572 5846198233056 5938136595648 6001987526784 6470892802314 6576973012188 6679631279808 6789133431936 7429543587842 7587618983328 7669206284224 7752567222096 7794930977408 8536071356244 8627857069752 8721638124858 8769297349584 8811428496768 9002981290176 9150571147392 10116825311104 10336756296128 11144315381763 11381428474992 11503809426336 11628850833144 11692396466112 11876273191296 12941785604628 13153946024376 13359262559616 14859087175684 15175237966656 15338412568448 15505134444192 17072142712488 17255714139504 17443276249716 17538594699168 18005962580352 20673512592256 22288630763526 22762856949984 23007618852672 23257701666288 23384792932224 25883571209256 26307892048752 29718174351368 30350475933312 31010268888384 33432946145289 34144285424976 34511428279008 34886552499432 35077189398336 44577261527052 45525713899968 46015237705344 46515403332576 51767142418512 52615784097504 59436348702736 62020537776768 66865892290578 68288570849952 69022856558016 69773104998864 70154378796672 89154523054104 91051427799936 93030806665152 100298838435867 103534284837024 105231568195008 118872697405472 133731784581156 136577141699904 138045713116032 139546209997728 178309046108208 186061613330304 200597676871734 207068569674048 210463136390016 237745394810944 267463569162312 273154283399808 279092419995456 356618092216416 401195353743468 414137139348096 475490789621888 534927138324624 558184839990912 713236184432832 802390707486936 1069854276649248 1426472368865664 1604781414973872 2139708553298496 3209562829947744 4279417106596992 6419125659895488 12838251319790976
- Sum of all divisors σ(n): 42420539880576000
- Sum of proper divisors (its aliquot sum) s(n): 29582288560785024
- 12838251319790976 is an abundant number, because the sum of its proper divisors (29582288560785024) is greater than itself. Its abundance is 16744037240994048
Bases of 12838251319790976
- Binary: 1011011001110001010010010100010111010000001101100000002
- Hexadecimal: 0x2D9C5251740D80
- Base-36: 3IES38HZ6O0
Squares and roots of 12838251319790976
- 12838251319790976 squared (128382513197909762) is 164820696950114737112220331032576
- 12838251319790976 cubed (128382513197909763) is 2116009530148679016523114870199661052526566834176
-
The
square root of 12838251319790976 is 113306007.4302813655 -
The
cube root of 12838251319790976 is 234154.2030314161
Scales and comparisons
How big is 12838251319790976?- 12,838,251,319,790,976 seconds is equal to 408,216,680 years, 33 weeks, 5 days, 20 hours, 9 minutes, 36 seconds.
-
To count from 1 to 12,838,251,319,790,976 would take you about one billion, two hundred twenty-four million, six hundred fifty thousand and forty-one 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 12838251319790976 cubic inches would be around 19512.9 feet tall.
Recreational maths with 12838251319790976
- 12838251319790976 backwards is 67909791315283821
- The number of decimal digits it has is: 17
- The sum of 12838251319790976's digits is 81
- More coming soon!
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"Number 12838251319790976 - Facts about the integer". Numbermatics.com. 2024. Web. 12 June 2024.
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Numbermatics. (2024). Number 12838251319790976 - Facts about the integer. Retrieved 12 June 2024, from https://numbermatics.com/n/12838251319790976/
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Numbermatics. 2024. "Number 12838251319790976 - Facts about the integer". https://numbermatics.com/n/12838251319790976/
The information we have on file for 12838251319790976 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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