13374162406368
13,374,162,406,368 is an even composite number composed of seven prime numbers multiplied together.
What does the number 13374162406368 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 1344 divisors.
13374162406368 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of one thousand, three hundred forty-four divisors.
Prime factorization of 13374162406368:
25 × 36 × 23 × 47 × 59 × 89 × 101
(2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 3 × 23 × 47 × 59 × 89 × 101)See below for interesting mathematical facts about the number 13374162406368 from the Numbermatics database.
Names of 13374162406368
- Cardinal: 13374162406368 can be written as Thirteen trillion, three hundred seventy-four billion, one hundred sixty-two million, four hundred six thousand, three hundred sixty-eight.
Scientific notation
- Scientific notation: 1.3374162406368 × 1013
Factors of 13374162406368
Divisors of 13374162406368
- Number of divisors d(n): 1344
-
Complete list of divisors:
1 2 3 4 6 8 9 12 16 18 23 24 27 32 36 46 47 48 54 59 69 72 81 89 92 94 96 101 108 118 138 141 144 162 177 178 184 188 202 207 216 236 243 267 276 282 288 303 324 354 356 368 376 404 414 423 432 472 486 531 534 552 564 606 621 648 708 712 729 736 752 801 808 828 846 864 909 944 972 1062 1068 1081 1104 1128 1212 1242 1269 1296 1357 1416 1424 1458 1504 1593 1602 1616 1656 1692 1818 1863 1888 1944 2047 2124 2136 2162 2208 2256 2323 2403 2424 2484 2538 2592 2714 2727 2773 2832 2848 2916 3186 3204 3232 3243 3312 3384 3636 3726 3807 3888 4071 4094 4183 4248 4272 4324 4512 4646 4747 4779 4806 4848 4968 5076 5251 5428 5454 5546 5589 5664 5832 5959 6141 6372 6408 6486 6624 6768 6969 7209 7272 7452 7614 7776 8142 8181 8188 8319 8366 8496 8544 8648 8989 9292 9494 9558 9612 9696 9729 9936 10152 10502 10856 10908 11092 11178 11421 11664 11918 12213 12282 12549 12744 12816 12972 13536 13938 14241 14337 14418 14544 14904 15228 15753 16284 16362 16376 16638 16732 16767 16992 17296 17877 17978 18423 18584 18988 19116 19224 19458 19872 20304 20907 21004 21627 21712 21816 22184 22356 22842 23328 23836 24426 24543 24564 24957 25098 25488 25632 25944 26967 27876 28482 28674 28836 29088 29187 29808 30456 31506 32568 32724 32752 33276 33464 33534 34263 34592 35754 35956 36639 36846 37168 37647 37976 38232 38448 38916 40608 41814 42008 42723 43011 43254 43424 43632 44368 44712 45684 47259 47672 48852 49086 49128 49914 50196 50976 51888 53631 53934 55269 55752 56964 57348 57672 58374 59616 60912 62721 63012 63779 64881 65136 65448 65504 66552 66928 67068 68526 71508 71912 73278 73629 73692 74336 74871 75294 75952 76464 76896 77832 80901 83628 84016 85446 86022 86508 87264 87561 88736 89424 91368 94518 95344 96209 97704 98172 98256 99828 100392 103776 107262 107868 109181 109917 110538 111504 112941 113928 114696 115344 116748 120773 121824 125442 126024 127558 128169 129762 130272 130896 133104 133856 134136 137052 137057 141777 143016 143824 146556 147258 147384 149742 150588 151904 152928 155664 160893 161802 165807 167256 168032 170892 172044 173016 175122 178848 182736 188163 189036 190688 191337 192418 195408 196344 196512 199656 200784 206747 214524 215736 218362 219834 221076 223008 224613 225882 227856 229392 230688 233496 241546 242703 246797 250884 252048 255116 256338 259524 261792 262683 266208 268272 274104 274114 280073 283554 286032 287648 288627 293112 294516 294768 299484 301176 311328 321786 323604 327543 329751 331614 334512 338823 341784 344088 346032 350244 362319 365472 376326 378072 382674 384507 384836 390816 392688 399312 401568 411171 413494 422483 425331 429048 431472 436724 439668 442152 449226 451764 455712 458784 466992 482679 483092 485406 493594 497421 501768 504096 510232 512676 519048 525366 530351 536544 548208 548228 560146 564489 567108 572064 574011 577254 586224 589032 589536 598968 602352 620241 643572 647208 655086 659502 663228 669024 673839 677646 683568 688176 692064 700488 724638 728109 740391 752652 756144 765348 769014 769672 785376 788049 798624 822342 826988 840219 844966 850662 858096 862944 865881 873448 879336 884304 898452 903528 933984 965358 966184 970812 982629 987188 989253 994842 1003536 1016469 1020464 1025352 1038096 1050732 1060702 1086957 1096416 1096456 1120292 1128978 1134216 1148022 1153521 1154508 1172448 1178064 1197936 1204704 1233513 1240482 1267449 1275993 1287144 1294416 1310172 1319004 1326456 1347678 1355292 1367136 1376352 1400976 1448037 1449276 1456218 1480782 1492263 1505304 1512288 1530696 1538028 1539344 1576098 1591053 1644684 1653976 1680438 1689932 1693467 1701324 1716192 1722033 1731762 1746896 1758672 1768608 1796904 1807056 1860723 1930716 1932368 1941624 1965258 1974376 1978506 1989684 2007072 2021517 2032938 2040928 2050704 2076192 2101464 2121404 2173914 2184327 2192912 2221173 2240584 2257956 2268432 2296044 2307042 2309016 2356128 2395872 2467026 2480964 2520657 2534898 2551986 2574288 2588832 2597643 2620344 2638008 2652912 2695356 2710584 2801952 2896074 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408695832 410653476 424495728 439130628 448676946 458223264 459782811 463800888 466421232 469565424 479773368 495945504 515501172 521775999 524723886 532877616 535888224 544461912 544927776 547537968 561090888 573309431 585507504 598235928 602874252 613043748 615980214 618401184 636743592 639697824 658695942 673015419 687334896 695701332 699631848 704348136 719660052 725949216 743918256 748121184 773251758 787085829 797647904 799316424 803832336 816692868 817391664 821306952 848991456 878261256 897353892 919565622 927601776 932842464 939130848 959546736 988043913 1031002344 1043551998 1049447772 1065755232 1088923824 1095075936 1122181776 1146618862 1171015008 1196471856 1205748504 1226087496 1231960428 1273487184 1317391884 1346030838 1374669792 1379348433 1391402664 1399263696 1408696272 1439320104 1487836512 1546503516 1565327997 1574171658 1598632848 1607664672 1633385736 1634783328 1642613904 1719928293 1756522512 1794707784 1839131244 1855203552 1919093472 1976087826 2019046257 2062004688 2087103996 2098895544 2177847648 2244363552 2293237724 2361257487 2392943712 2411497008 2452174992 2463920856 2546974368 2634783768 2692061676 2758696866 2782805328 2798527392 2817392544 2878640208 2964131739 3093007032 3130655994 3148343316 3197265696 3266771472 3285227808 3439856586 3513045024 3589415568 3678262488 3952175652 4038092514 4124009376 4138045299 4174207992 4197791088 4586475448 4695983991 4722514974 4822994016 4904349984 4927841712 5159784879 5269567536 5384123352 5517393732 5565610656 5757280416 5928263478 6057138771 6186014064 6261311988 6296686632 6533542944 6879713172 7083772461 7178831136 7356524976 7904351304 8076185028 8276090598 8348415984 8395582176 8892395217 9172950896 9391967982 9445029948 9855683424 10319569758 10539135072 10768246704 11034787464 11856526956 12114277542 12372028128 12522623976 12593373264 13759426344 14167544922 14713049952 15479354637 15808702608 16152370056 16552181196 16696831968 17784790434 18171416313 18345901792 18783935964 18890059896 20639139516 21536493408 22069574928 23713053912 24228555084 25045247952 25186746528 27518852688 28335089844 30958709274 31617405216 32304740112 33104362392 35569580868 36342832626 37567871928 37780119792 41278279032 44139149856 46438063911 47426107824 48457110168 50090495904 55037705376 56670179688 61917418548 64609480224 66208724784 71139161736 72685665252 75135743856 75560239584 82556558064 92876127822 94852215648 96914220336 113340359376 123834837096 132417449568 139314191733 142278323472 145371330504 150271487712 165113116128 185752255644 193828440672 226680718752 247669674192 278628383466 284556646944 290742661008 371504511288 417942575199 495339348384 557256766932 581485322016 743009022576 835885150398 1114513533864 1486018045152 1671770300796 2229027067728 3343540601592 4458054135456 6687081203184 13374162406368
- Sum of all divisors σ(n): 43692522854400
- Sum of proper divisors (its aliquot sum) s(n): 30318360448032
- 13374162406368 is an abundant number, because the sum of its proper divisors (30318360448032) is greater than itself. Its abundance is 16944198041664
Bases of 13374162406368
- Binary: 110000101001111010100011001100001011111000002
- Hexadecimal: 0xC29EA330BE0
- Base-36: 4QO06ZI00
Squares and roots of 13374162406368
- 13374162406368 squared (133741624063682) is 178868220071907092366951424
- 13374162406368 cubed (133741624063683) is 2392212624579657956445313101680004268032
-
The
square root of 13374162406368 is 3657070.1943451947 -
The
cube root of 13374162406368 is 23736.8014755119
Scales and comparisons
How big is 13374162406368?- 13,374,162,406,368 seconds is equal to 425,256 years, 51 weeks, 5 days, 8 hours, 52 minutes, 48 seconds.
-
To count from 1 to 13,374,162,406,368 would take you about one million, sixty-three thousand, one hundred forty-two 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 13374162406368 cubic inches would be around 1978.1 feet tall.
Recreational maths with 13374162406368
- 13374162406368 backwards is 86360426147331
- 13374162406368 is a
Harshad number . - The number of decimal digits it has is: 14
- The sum of 13374162406368's digits is 54
- More coming soon!
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"Number 13374162406368 - Facts about the integer". Numbermatics.com. 2024. Web. 18 June 2024.
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Numbermatics. (2024). Number 13374162406368 - Facts about the integer. Retrieved 18 June 2024, from https://numbermatics.com/n/13374162406368/
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The information we have on file for 13374162406368 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!
Keywords: Divisors of 13374162406368, math, Factors of 13374162406368, curriculum, school, college, exams, university, Prime factorization of 13374162406368, STEM, science, technology, engineering, physics, economics, calculator, thirteen trillion, three hundred seventy-four billion, one hundred sixty-two million, four hundred six thousand, three hundred sixty-eight.