12838399904707520
12,838,399,904,707,520 is an even composite number composed of nine prime numbers multiplied together.
What does the number 12838399904707520 look like?
This visualization shows the relationship between its 9 prime factors (large circles) and 1792 divisors.
12838399904707520 is an even composite number. It is composed of nine distinct prime numbers multiplied together. It has a total of one thousand, seven hundred ninety-two divisors.
Prime factorization of 12838399904707520:
26 × 5 × 11 × 13 × 17 × 31 × 61 × 71 × 122921
(2 × 2 × 2 × 2 × 2 × 2 × 5 × 11 × 13 × 17 × 31 × 61 × 71 × 122921)See below for interesting mathematical facts about the number 12838399904707520 from the Numbermatics database.
Names of 12838399904707520
- Cardinal: 12838399904707520 can be written as Twelve quadrillion, eight hundred thirty-eight trillion, three hundred ninety-nine billion, nine hundred four million, seven hundred seven thousand, five hundred twenty.
Scientific notation
- Scientific notation: 1.283839990470752 × 1016
Factors of 12838399904707520
Divisors of 12838399904707520
- Number of divisors d(n): 1792
-
Complete list of divisors:
1 2 4 5 8 10 11 13 16 17 20 22 26 31 32 34 40 44 52 55 61 62 64 65 68 71 80 85 88 104 110 122 124 130 136 142 143 155 160 170 176 187 208 220 221 244 248 260 272 284 286 305 310 320 340 341 352 355 374 403 416 440 442 488 496 520 527 544 568 572 610 620 671 680 682 704 710 715 748 781 793 806 832 880 884 923 935 976 992 1037 1040 1054 1088 1105 1136 1144 1207 1220 1240 1342 1360 1364 1420 1430 1496 1562 1586 1612 1705 1760 1768 1846 1870 1891 1952 1984 2015 2074 2080 2108 2201 2210 2272 2288 2414 2431 2440 2480 2635 2684 2720 2728 2840 2860 2992 3124 3172 3224 3355 3410 3520 3536 3692 3740 3782 3904 3905 3965 4030 4148 4160 4216 4331 4402 4420 4433 4544 4576 4615 4828 4862 4880 4960 5185 5270 5368 5440 5456 5680 5720 5797 5984 6035 6248 6344 6448 6710 6820 6851 7072 7384 7480 7564 7810 7930 8060 8296 8432 8662 8723 8804 8840 8866 9152 9230 9455 9656 9724 9760 9920 10153 10370 10540 10736 10912 11005 11360 11407 11440 11594 11968 12070 12155 12496 12688 12896 13277 13420 13481 13640 13702 14144 14768 14960 15128 15620 15691 15860 16120 16592 16864 17324 17446 17608 17680 17732 18460 18910 19312 19448 19520 20306 20740 20801 21080 21472 21655 21824 22010 22165 22720 22814 22880 23188 24140 24211 24310 24583 24992 25376 25792 26554 26840 26962 27280 27404 28613 28985 29536 29920 30256 31240 31382 31720 32147 32240 33184 33728 34255 34648 34892 35216 35360 35464 36920 37417 37820 38624 38896 40612 41480 41602 42160 42944 43310 43615 44020 44330 45628 45760 46376 47641 48280 48422 48620 49166 49984 50752 50765 53108 53680 53924 54560 54808 56303 57035 57226 57970 59072 59840 60512 62480 62764 63440 64294 64480 66368 66385 67405 68510 69296 69784 70432 70720 70928 73627 73840 74834 75361 75640 77248 77792 78455 81224 82960 83204 84320 86620 87230 88040 88660 91256 92752 95282 96560 96844 97240 98332 101530 104005 106216 107360 107848 109120 109616 112606 114070 114452 115940 121024 121055 122915 122921 124960 125528 126880 128588 128960 132770 134261 134810 137020 138592 139568 140864 141856 143065 147254 147680 148291 149668 150722 151280 155584 156910 160735 162448 165920 166408 168640 172601 173240 174460 176080 177320 182512 185504 187085 190564 193120 193688 194480 196664 203060 208010 212432 214720 215696 219232 225212 228140 228904 231880 238205 242110 245830 245842 249920 251056 253760 257176 265540 268522 269620 270413 274040 277184 279136 281515 283712 286130 294508 295360 296582 299336 301444 302560 313820 314743 321470 324896 331840 332816 345202 346480 348920 352160 353617 354640 365024 368135 371008 374170 376805 381128 386240 387376 388960 393328 406120 411587 416020 417911 424864 431392 438464 450424 456280 457808 463760 476410 484220 486421 491660 491684 502112 514352 531080 537044 539240 540826 548080 558272 563030 572260 589016 593164 598672 602888 605120 614605 619333 627640 629486 642940 649792 665632 671305 690404 692960 697840 704320 707234 709280 730048 736270 741455 748340 753610 762256 774752 777920 786656 809897 812240 823174 832040 835822 849728 862784 863005 900848 912560 915616 927520 952820 957151 968440 972842 983320 983368 1004224 1028704 1062160 1074088 1078480 1081652 1096160 1126060 1144520 1178032 1186328 1197344 1205776 1229210 1238666 1255280 1258972 1285880 1331264 1342610 1352065 1352131 1380808 1385920 1395680 1414468 1418560 1472540 1476871 1482910 1496680 1507220 1524512 1549504 1573312 1573715 1597973 1619794 1624480 1646348 1664080 1671644 1726010 1745393 1768085 1801696 1825120 1831232 1855040 1905640 1914302 1936880 1945684 1966640 1966736 2057408 2057935 2089555 2089657 2124320 2148176 2156960 2163304 2192320 2252120 2282437 2289040 2356064 2372656 2394688 2411552 2432105 2458420 2477332 2510560 2517944 2571760 2685220 2704130 2704262 2761616 2791360 2828936 2945080 2953742 2965820 2993360 3014440 3049024 3096665 3147430 3195946 3239588 3248960 3292696 3328160 3343288 3452020 3490786 3536170 3603392 3650240 3810551 3811280 3828604 3873760 3891368 3933280 3933472 4049485 4115870 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106081437605 110733137008 112172787760 112548434336 114011685920 117121587220 117653958071 119041613240 119582711482 120870677720 123440218304 126449324384 130561769360 132027971048 132567840080 132957745492 134741083360 138416421260 140685542920 144804871472 145824624088 147178721824 148215191696 152258063386 154300272880 154754097212 158061655480 163640302144 165034963810 166197181865 169730300168 170358672320 171558381280 173867821028 174370813760 181006089340 181538460191 182280780110 183973402280 185268989620 187394539552 190466581184 193393084352 193442621515 199106698274 199682706080 202370742508 204550377680 205480152124 212162875210 214545452953 217334776285 221466274016 224345575520 225096868672 228023371840 234243174440 235307916142 238083226480 239165422964 241741355440 252898648768 252963428135 256850190155 261123538720 264055942096 265135680160 265915490984 269482166720 276832842520 280559438477 281371085840 289609742944 291649248176 294357443648 296430383392 298956778705 304516126772 308600545760 309508194424 316123310960 330069927620 332394363730 339460600336 343116762560 347735642056 362012178680 363076920382 364561560220 367946804560 370537979240 374789079104 380645158465 386885243030 398213396548 399365412160 404741485016 409100755360 410960304248 424325750420 429090905906 434669552570 442932548032 448691151040 468486348880 470615832284 476166452960 478330845928 483482710880 497766745685 505926856270 513700380310 522247077440 528111884192 530271360320 531830981968 553665685040 561118876954 562742171680 565070418341 579219485888 583298496352 588269790355 592860766784 597913557410 609032253544 617201091520 619016388848 632246621920 657704913151 660139855240 664788727460 678921200672 695471284112 724024357360 726153840764 729123120440 735893609120 741075958480 761290316930 773770486060 796426793096 809482970032 818201510720 821920608496 848651500840 858181811812 869339105140 907692300955 936972697760 941231664568 952332905920 956661691856 966965421760 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3394606003360 3432727247248 3477356420560 3630769203820 3647272700201 3764926658272 3826646767424 3982133965480 4047414850160 4109603042480 4290909059060 4488951015632 4520563346728 4706158322840 4719999964966 4783308459280 4872258028352 5176774155124 5261639305208 5281118841920 5318309819680 5611188769540 5650704183410 5809230726112 5832984963520 6090322535440 6172307646494 6190163888480 6371414344768 6470967693905 6577049131510 6789212006720 6865454494496 6954712841120 7261538407640 7294545400402 7529853316544 7964267930960 8094829700320 8219206084960 8581818118120 8977902031264 9041126693456 9412316645680 9439999929932 9566616918560 10353548310248 10523278610416 10636619639360 11222377539080 11301408366820 11618461452224 11799999912415 12180645070880 12344615292988 12380327776960 12941935387810 13154098263020 13730908988992 13909425682240 14523076815280 14589090800804 15430769116235 15928535861920 16189659400640 16438412169920 17163636236240 17955804062528 18082253386912 18236363501005 18824633291360 18879999859864 19133233837120 20707096620496 21046557220832 22444755078160 22602816733640 23599999824830 24361290141760 24689230585976 25883870775620 26308196526040 29046153630560 29178181601608 30861538232470 31857071723840 34327272472480 36164506773824 36472727002010 37649266582720 37759999719728 40119999702211 41414193240992 42093114441664 44889510156320 45205633467280 47199999649660 49378461171952 51767741551240 52616393052080 58092307261120 58356363203216 61723076464940 68654544944960 72945454004020 75519999439456 80239999404422 82828386481984 89779020312640 90411266934560 94399999299320 98756922343904 103535483102480 105232786104160 116712726406432 123446152929880 145890908008040 151039998878912 160479998808844 180822533869120 188799998598640 197513844687808 200599998511055 207070966204960 210465572208320 233425452812864 246892305859760 291781816016080 320959997617688 377599997197280 401199997022110 414141932409920 493784611719520 583563632032160 641919995235376 755199994394560 802399994044220 987569223439040 1167127264064320 1283839990470752 1604799988088440 2567679980941504 3209599976176880 6419199952353760 12838399904707520
- Sum of all divisors σ(n): 40461365954838528
- Sum of proper divisors (its aliquot sum) s(n): 27622966050131008
- 12838399904707520 is an abundant number, because the sum of its proper divisors (27622966050131008) is greater than itself. Its abundance is 14784566145423488
Bases of 12838399904707520
- Binary: 1011011001110001110100111010011100110111110011110000002
- Hexadecimal: 0x2D9C74E9CDF3C0
- Base-36: 3IETZHTLM0W
Squares and roots of 12838399904707520
- 12838399904707520 squared (128383999047075202) is 164824512113194058616656744550400
- 12838399904707520 cubed (128383999047075203) is 2116083000607494078087783382389264863065899008000
-
The
square root of 12838399904707520 is 113306663.1081664147 -
The
cube root of 12838399904707520 is 234155.1063644229
Scales and comparisons
How big is 12838399904707520?- 12,838,399,904,707,520 seconds is equal to 408,221,405 years, 9 weeks, 6 days, 16 hours, 5 minutes, 20 seconds.
-
To count from 1 to 12,838,399,904,707,520 would take you about one billion, two hundred twenty-four million, six hundred sixty-four thousand, two hundred fifteen 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 12838399904707520 cubic inches would be around 19512.9 feet tall.
Recreational maths with 12838399904707520
- 12838399904707520 backwards is 02570740999383821
- The number of decimal digits it has is: 17
- The sum of 12838399904707520's digits is 77
- More coming soon!
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MLA style:
"Number 12838399904707520 - Facts about the integer". Numbermatics.com. 2024. Web. 22 June 2024.
APA style:
Numbermatics. (2024). Number 12838399904707520 - Facts about the integer. Retrieved 22 June 2024, from https://numbermatics.com/n/12838399904707520/
Chicago style:
Numbermatics. 2024. "Number 12838399904707520 - Facts about the integer". https://numbermatics.com/n/12838399904707520/
The information we have on file for 12838399904707520 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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