12838826656990848
12,838,826,656,990,848 is an even composite number composed of six prime numbers multiplied together.
12838826656990848 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one thousand, seven hundred twenty-eight divisors.
Prime factorization of 12838826656990848:
27 × 3 × 192 × 233 × 312 × 892
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 19 × 19 × 23 × 23 × 23 × 31 × 31 × 89 × 89)See below for interesting mathematical facts about the number 12838826656990848 from the Numbermatics database.
Names of 12838826656990848
- Cardinal: 12838826656990848 can be written as Twelve quadrillion, eight hundred thirty-eight trillion, eight hundred twenty-six billion, six hundred fifty-six million, nine hundred ninety thousand, eight hundred forty-eight.
Scientific notation
- Scientific notation: 1.2838826656990848 × 1016
Factors of 12838826656990848
Divisors of 12838826656990848
- Number of divisors d(n): 1728
-
Complete list of divisors:
1 2 3 4 6 8 12 16 19 23 24 31 32 38 46 48 57 62 64 69 76 89 92 93 96 114 124 128 138 152 178 184 186 192 228 248 267 276 304 356 361 368 372 384 437 456 496 529 534 552 589 608 712 713 722 736 744 874 912 961 992 1058 1068 1083 1104 1178 1216 1311 1424 1426 1444 1472 1488 1587 1691 1748 1767 1824 1922 1984 2047 2116 2136 2139 2166 2208 2356 2432 2622 2759 2848 2852 2883 2888 2944 2976 3174 3382 3496 3534 3648 3844 3968 4094 4232 4272 4278 4332 4416 4712 5073 5244 5518 5696 5704 5766 5776 5952 6141 6348 6764 6992 7068 7296 7688 7921 8188 8277 8303 8464 8544 8556 8664 8832 9424 10051 10146 10488 11036 11191 11392 11408 11532 11552 11904 12167 12282 12696 13528 13547 13984 14136 15376 15842 16376 16399 16554 16606 16928 17088 17112 17328 18259 18848 20102 20292 20976 22072 22103 22382 22816 23064 23104 23763 24334 24564 24909 25392 27056 27094 27968 28272 30153 30752 31684 32129 32752 32798 33108 33212 33573 33856 34176 34224 34656 36501 36518 37696 38893 40204 40584 40641 41952 44144 44206 44764 45632 46128 46208 47081 47526 48668 49128 49197 49818 50784 52421 54112 54188 54777 55936 56544 60306 61504 63368 63457 64258 65504 65596 66216 66309 66424 67146 67712 68448 69312 73002 73036 75392 77786 80408 81168 81282 83904 85529 88288 88412 89528 91264 92256 94162 95052 96387 97336 98256 98394 99636 101568 104842 108224 108376 109554 113088 116679 120612 123008 126736 126914 128516 131008 131192 132432 132618 132848 134292 136896 138624 141243 146004 146072 150499 155572 157263 160816 162336 162564 167808 171058 176576 176824 179056 182183 184512 188324 190104 190371 190969 192774 194672 196512 196788 199272 203136 209684 216448 216752 219108 226176 231173 233358 241224 245551 253472 253828 256587 257032 257393 262016 262384 264864 265236 265696 268584 273792 282486 292008 292144 300998 311144 311581 314526 321632 324672 325128 342116 346921 353152 353648 358112 364366 369024 376648 377177 380208 380742 381938 385548 389344 393024 393576 398544 419368 419957 433504 438216 451497 462346 466716 482448 491102 506944 507656 508369 513174 514064 514786 524768 529728 530472 531392 537168 546549 564972 572907 584016 584288 601996 622288 623162 629052 643264 649344 650256 684232 693519 693842 707296 716224 728732 736653 738967 753296 754354 760416 761484 763876 771096 772179 778688 786048 787152 797088 838736 839914 867008 876432 894539 902994 924692 933432 934743 964896 982204 995999 1013888 1015312 1016738 1026348 1028128 1029572 1040763 1049536 1059456 1060944 1062784 1074336 1082863 1093098 1129944 1131531 1145814 1168032 1168576 1203992 1205683 1244576 1246324 1258104 1259871 1286528 1300512 1368464 1387038 1387684 1414592 1432448 1457464 1459511 1473306 1477934 1506592 1508708 1520832 1522968 1525107 1527752 1542192 1544358 1557376 1574304 1594176 1625051 1677472 1679828 1734016 1752864 1789078 1805988 1849384 1866864 1869486 1929792 1964408 1967167 1991998 2030624 2033476 2052696 2056256 2059144 2081526 2099072 2121888 2148672 2165726 2186196 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135071609824 136348279104 139165221308 140677886757 143405712816 145215883104 145419837996 150110800512 153018052262 157954118464 158175964136 159671011056 165053179968 170294283969 175787647968 175869519424 185232379054 187570515676 189609325629 191207617088 193285960752 193621177472 193893117328 195725755488 196000651212 199801217856 202323252864 202607414736 208747831962 212894681408 227059045292 229527078393 234383530624 236931177696 237263946204 244917621888 252812434172 257714614336 260967673984 261334201616 263804279136 270143219648 272696558208 277848568581 278330442616 281355773514 286811425632 290431766208 290839675992 306036104524 315908236928 316351928272 319342022112 330106359936 340588567938 351575295936 351739038848 370464758108 375141031352 375667914823 379218651258 382415234176 386571921504 387786234656 391451510976 392001302424 399602435712 405214829472 417495663924 425789362816 454118090584 459054156786 473862355392 474527892408 505624868344 515429228672 522668403232 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3339965311392 3519415202026 3632944724672 3672433254288 3796223139264 4044998946752 4314121860548 4361014489467 4445577097296 4453287081856 4501692376224 4508014977876 4653434815872 4896577672384 5279122803039 5449417087008 5814685985956 5927436129728 6002256501632 6010686637168 6067498420128 6272020838784 6471182790822 6679930622784 7038830404052 7265889449344 7344866508576 7592446278528 8089997893504 8628243721096 8722028978934 8891154194592 9003384752448 9016029955752 9793155344768 10558245606078 10898834174016 11629371971912 11854872259456 12021373274336 12134996840256 12942365581644 13359861245568 14077660808104 14689733017152 17256487442192 17444057957868 17782308389184 18006769504896 18032059911504 21116491212156 21797668348032 23258743943824 24042746548672 24269993680512 25884731163288 28155321616208 29379466034304 33434444419247 34512974884384 34888115915736 35564616778368 36064119823008 42232982424312 46517487887648 48085493097344 51769462326576 56310643232416 66868888838494 69025949768768 69776231831472 72128239646016 84465964848624 93034975775296 100303333257741 103538924653152 112621286464832 133737777676988 138051899537536 139552463662944 144256479292032 168931929697248 186069951550592 200606666515482 207077849306304 225242572929664 267475555353976 279104927325888 337863859394496 401213333030964 414155698612608 534951110707952 558209854651776 675727718788992 802426666061928 1069902221415904 1604853332123856 2139804442831808 3209706664247712 4279608885663616 6419413328495424 12838826656990848
- Sum of all divisors σ(n): 39323144482027200
- Sum of proper divisors (its aliquot sum) s(n): 26484317825036352
- 12838826656990848 is an abundant number, because the sum of its proper divisors (26484317825036352) is greater than itself. Its abundance is 13645491168045504
Bases of 12838826656990848
- Binary: 1011011001110011011000010001100011100100000110100000002
- Hexadecimal: 0x2D9CD846390680
- Base-36: 3IEZFJIW39C
Squares and roots of 12838826656990848
- 12838826656990848 squared (128388266569908482) is 164835469928258793765870355759104
- 12838826656990848 cubed (128388266569908483) is 2116294025332542304775138315845512660139420680192
-
The
square root of 12838826656990848 is 113308546.2663379509 -
The
cube root of 12838826656990848 is 234157.7007977859
Scales and comparisons
How big is 12838826656990848?- 12,838,826,656,990,848 seconds is equal to 408,234,974 years, 30 weeks, 6 days, 5 hours, 48 seconds.
-
To count from 1 to 12,838,826,656,990,848 would take you about one billion, two hundred twenty-four million, seven hundred four thousand, nine hundred twenty-three 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 12838826656990848 cubic inches would be around 19513.1 feet tall.
Recreational maths with 12838826656990848
- 12838826656990848 backwards is 84809965662883821
- 12838826656990848 is a
Harshad number . - The number of decimal digits it has is: 17
- The sum of 12838826656990848's digits is 93
- More coming soon!
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"Number 12838826656990848 - Facts about the integer". Numbermatics.com. 2024. Web. 22 June 2024.
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Numbermatics. (2024). Number 12838826656990848 - Facts about the integer. Retrieved 22 June 2024, from https://numbermatics.com/n/12838826656990848/
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The information we have on file for 12838826656990848 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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