13408968062705657742400
13,408,968,062,705,657,742,400 is an even composite number composed of six prime numbers multiplied together.
13408968062705657742400 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one thousand, seven hundred one divisors.
Prime factorization of 13408968062705657742400:
26 × 52 × 172 × 312 × 412 × 1339812
(2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 17 × 17 × 31 × 31 × 41 × 41 × 133981 × 133981)See below for interesting mathematical facts about the number 13408968062705657742400 from the Numbermatics database.
Names of 13408968062705657742400
- Cardinal: 13408968062705657742400 can be written as Thirteen sextillion, four hundred eight quintillion, nine hundred sixty-eight quadrillion, sixty-two trillion, seven hundred five billion, six hundred fifty-seven million, seven hundred forty-two thousand, four hundred.
Scientific notation
- Scientific notation: 1.34089680627056577424 × 1022
Factors of 13408968062705657742400
Divisors of 13408968062705657742400
- Number of divisors d(n): 1701
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Complete list of divisors:
1 2 4 5 8 10 16 17 20 25 31 32 34 40 41 50 62 64 68 80 82 85 100 124 136 155 160 164 170 200 205 248 272 289 310 320 328 340 400 410 425 496 527 544 578 620 656 680 697 775 800 820 850 961 992 1025 1054 1088 1156 1240 1271 1312 1360 1394 1445 1550 1600 1640 1681 1700 1922 1984 2050 2108 2312 2480 2542 2624 2635 2720 2788 2890 3100 3280 3362 3400 3485 3844 4100 4216 4624 4805 4960 5084 5270 5440 5576 5780 6200 6355 6560 6724 6800 6970 7225 7688 8200 8405 8432 8959 9248 9610 9920 10168 10540 11152 11560 11849 12400 12710 13120 13175 13448 13600 13940 14450 15376 16337 16400 16810 16864 17425 17918 18496 19220 20336 21080 21607 22304 23120 23698 24025 24800 25420 26350 26896 27200 27880 28577 28900 30752 31775 32674 32800 33620 33728 34850 35836 38440 39401 40672 42025 42160 43214 44608 44795 46240 47396 48050 49600 50840 52111 52700 53792 55760 57154 57800 59245 61504 63550 65348 65600 67240 69700 71672 76880 78802 81344 81685 84050 84320 86428 89590 92480 94792 96100 101680 104222 105400 107584 108035 111520 114308 115600 118490 127100 130696 133981 134480 139400 142885 143344 153760 157604 163370 168100 168640 172856 179180 189584 192200 197005 203360 208444 210800 216070 223040 223975 228616 231200 236980 254200 260555 261392 267962 268960 277729 278800 285770 286688 296225 307520 315208 326740 336200 345712 358360 367319 379168 384400 394010 406720 408425 416888 421600 432140 447950 457232 462400 473960 485809 508400 521110 522784 535924 537920 540175 555458 557600 571540 573376 592450 630416 653480 669817 669905 672400 691424 714425 716720 734638 758336 768800 788020 816850 833776 843200 864280 885887 895900 914464 947920 971618 985025 1016800 1042220 1045568 1071848 1080350 1110916 1115200 1143080 1184900 1260832 1302775 1306960 1339634 1339810 1344800 1382848 1388645 1428850 1433440 1469276 1537600 1576040 1615441 1633700 1667552 1728560 1771774 1791800 1828928 1836595 1895840 1943236 1970050 2033600 2084440 2143696 2160700 2221832 2277677 2286160 2369800 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1081368392153682076 1131653984530817600 1159945334144088040 1202382358563993700 1272198108416096560 1318741941650831800 1351710490192102595 1395314054391847840 1449931667680110050 1496703656960113600 1590247635520120700 1595356105021494080 1635240007647031432 1744142567989809800 1855912534630540864 1923811773702389920 1971907068044949668 1994195131276867600 2044050009558789290 2109987106641330880 2162736784307364152 2319890668288176080 2404764717127987400 2464883835056187085 2544396216832193120 2637483883301663600 2703420980384205190 2790628108783695680 2899863335360220100 3180495271040241400 3270480015294062864 3488285135979619600 3847623547404779840 3943814136089899336 3988390262553735200 4088100019117578580 4325473568614728304 4639781336576352160 4809529434255974800 4929767670112374170 5088792433664386240 5110125023896973225 5274967766603327200 5406841960768410380 5799726670720440200 6360990542080482800 6540960030588125728 6758552450960512975 6976570271959239200 7887628272179798672 7976780525107470400 8176200038235157160 8380605039191036089 8650947137229456608 9279562673152704320 9619058868511949600 9859535340224748340 10220250047793946450 10549935533206654400 10813683921536820760 11599453341440880400 12324419175280935425 12721981084160965600 13081920061176251456 13517104901921025950 13953140543918478400 15775256544359597344 16352400076470314320 16761210078382072178 17301894274458913216 19238117737023899200 19719070680449496680 20440500095587892900 21627367843073641520 23198906682881760800 24648838350561870850 25443962168321931200 27034209803842051900 31550513088719194688 32704800152940628640 33522420156764144356 39438141360898993360 40881000191175785800 41903025195955180445 43254735686147283040 46397813365763521600 49297676701123741700 54068419607684103800 65409600305881257280 67044840313528288712 78876282721797986720 81762000382351571600 83806050391910360890 86509471372294566080 98595353402247483400 108136839215368207600 134089680627056577424 157752565443595973440 163524000764703143200 167612100783820721780 197190706804494966800 209515125979775902225 216273678430736415200 268179361254113154848 327048001529406286400 335224201567641443560 394381413608989933600 419030251959551804450 432547356861472830400 536358722508226309696 670448403135282887120 788762827217979867200 838060503919103608900 1340896806270565774240 1676121007838207217800 2681793612541131548480 3352242015676414435600 6704484031352828871200 13408968062705657742400
- Sum of all divisors σ(n): 37121711188059269176743
- Sum of proper divisors (its aliquot sum) s(n): 23712743125353611434343
- 13408968062705657742400 is an abundant number, because the sum of its proper divisors (23712743125353611434343) is greater than itself. Its abundance is 10303775062647953691943
Bases of 13408968062705657742400
- Binary: 101101011011100110110100000100000101000101111100001000100010000100010000002
- Hexadecimal: 0x2D6E6D04145F0888440
- Base-36: 26LV1WRJHSWNDJ4
Squares and roots of 13408968062705657742400
- 13408968062705657742400 squared (134089680627056577424002) is 179800424506660320105587199307009064757760000
- 13408968062705657742400 cubed (134089680627056577424003) is 2410938149870727900218446778513083074770616467794416324481024000000
-
13408968062705657742400 is a
perfect square number . Itssquare root is 115797098680 -
The
cube root of 13408968062705657742400 is 23757374.9581630111
Scales and comparisons
How big is 13408968062705657742400?- 13,408,968,062,705,657,742,400 seconds is equal to 293,274,701,009 years, 3 weeks, 3 days, 15 hours, 30 minutes, 7 seconds.
-
To count from 1 to 13,408,968,062,705,657,742,400 would take you about two hundred ninety-three billion, two hundred seventy-four million, seven hundred one thousand and 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 13408968062705657742400 cubic inches would be around 1979781.2 feet tall.
Recreational maths with 13408968062705657742400
- 13408968062705657742400 backwards is 00424775650726086980431
- The number of decimal digits it has is: 23
- The sum of 13408968062705657742400's digits is 94
- More coming soon!
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The information we have on file for 13408968062705657742400 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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