131968444736016
131,968,444,736,016 is an even composite number composed of six prime numbers multiplied together.
131968444736016 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of nine hundred sixty divisors.
Prime factorization of 131968444736016:
24 × 33 × 7 × 433 × 732 × 103
(2 × 2 × 2 × 2 × 3 × 3 × 3 × 7 × 43 × 43 × 43 × 73 × 73 × 103)See below for interesting mathematical facts about the number 131968444736016 from the Numbermatics database.
Names of 131968444736016
- Cardinal: 131968444736016 can be written as One hundred thirty-one trillion, nine hundred sixty-eight billion, four hundred forty-four million, seven hundred thirty-six thousand and sixteen.
Scientific notation
- Scientific notation: 1.31968444736016 × 1014
Factors of 131968444736016
Divisors of 131968444736016
- Number of divisors d(n): 960
-
Complete list of divisors:
1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 36 42 43 48 54 56 63 72 73 84 86 103 108 112 126 129 144 146 168 172 189 206 216 219 252 258 292 301 309 336 344 378 387 412 432 438 504 511 516 584 602 618 657 688 721 756 774 824 876 903 927 1008 1022 1032 1161 1168 1204 1236 1314 1442 1512 1533 1548 1648 1752 1806 1849 1854 1971 2044 2064 2163 2322 2408 2472 2628 2709 2781 2884 3024 3066 3096 3139 3504 3612 3698 3708 3942 4088 4326 4429 4599 4644 4816 4944 5256 5329 5418 5547 5562 5768 6132 6192 6278 6489 7224 7396 7416 7519 7884 8127 8176 8652 8858 9198 9288 9417 10512 10658 10836 11094 11124 11536 12264 12556 12943 12978 13287 13797 14448 14792 14832 15038 15768 15987 16254 16641 17304 17716 18396 18576 18834 19467 21316 21672 21973 22188 22248 22557 24528 25112 25886 25956 26574 27594 28251 29584 30076 31003 31536 31974 32508 33282 34608 35432 36792 37303 37668 38829 38934 39861 42632 43344 43946 44376 44496 45114 47961 49923 50224 51772 51912 52633 53148 55188 56502 60152 62006 63948 65016 65919 66564 67671 70864 73584 74606 75336 77658 77868 79507 79722 84753 85264 87892 88752 90228 93009 95922 99846 103544 103824 105266 106296 110376 111909 113004 116487 119583 120304 124012 127896 130032 131838 133128 134977 135342 143883 149212 150672 155316 155736 157899 159014 159444 169506 175784 180456 186018 190447 191844 197757 199692 203013 207088 210532 212592 220752 223818 226008 229147 232974 238521 239166 248024 255792 263676 266256 269954 270684 279027 287766 298424 310632 311472 315798 318028 318888 323317 335727 339012 349461 351568 360912 372036 380894 383688 395514 399384 404931 406026 421064 447636 452016 458294 465948 473697 477042 478332 496048 527352 539908 541368 548887 556549 558054 571341 575532 593271 596848 621264 631596 636056 637776 646634 671454 678024 687441 698922 715563 744072 761788 767376 791028 798768 809862 812052 837081 842128 895272 916588 931896 944839 947394 954084 956664 969951 1007181 1054704 1079816 1082736 1097774 1113098 1116108 1142682 1151064 1186542 1214793 1263192 1272112 1293268 1333129 1342908 1356048 1374882 1397844 1421091 1431126 1488144 1523576 1582056 1604029 1619724 1624104 1646661 1669647 1674162 1714023 1790544 1833176 1863792 1889678 1894788 1908168 1913328 1939902 2014362 2062323 2146689 2159632 2195548 2226196 2232216 2263219 2285364 2302128 2373084 2429586 2526384 2586536 2666258 2685816 2749764 2795688 2834517 2842182 2862252 2909853 3047152 3164112 3208058 3239448 3248208 3293322 3339294 3348324 3428046 3644379 3666352 3779356 3789576 3816336 3842209 3879804 3999387 4028724 4124646 4293378 4391096 4452392 4464432 4526438 4570728 4746168 4812087 4859172 4939983 5008941 5142069 5173072 5332516 5371632 5499528 5591376 5669034 5684364 5724504 5804011 5819706 6186969 6416116 6478896 6586644 6678588 6696648 6789657 6856092 7288758 7558712 7579152 7684418 7759608 7998774 8057448 8189221 8249292 8503551 8586756 8729559 8782192 8904784 9052876 9141456 9492336 9624174 9718344 9853321 9879966 10017882 10284138 10665032 10999056 11338068 11368728 11449008 11526627 11608022 11639412 11998161 12373938 12832232 13173288 13357176 13393296 13579314 13712184 13902631 14436261 14577516 14819949 15026823 15117424 15368836 15519216 15997548 16114896 16378442 16498584 17007102 17173512 17412033 17459118 18105752 19248348 19436688 19706642 19759932 20035764 20368971 20568276 21330064 22676136 22737456 23053254 23216044 23278824 23602141 23996322 24567663 24747876 25510653 25664464 26346576 26714352 27158628 27424368 27805262 28872522 29155032 29559963 29639898 30053646 30737672 31995096 32756884 32997168 34014204 34347024 34579881 34824066 34918236 35994483 36211504 38496696 39413284 39519864 40071528 40628077 40737942 41136552 41707893 43308783 45352272 46106508 46432088 46557648 47204282 47992644 49135326 49495752 51021306 52236099 54317256 55610524 57324547 57745044 58310064 59119926 59279796 60107292 61106913 61475344 63990192 65513768 68028408 68973247 69159762 69648132 69836472 70806423 71988966 73702989 76993392 78826568 79039728 80143056 81256154 81475884 82273104 83415786 86617566 88679889 92213016 92864176 94408564 95985288 97318417 98270652 98991504 102042612 103739643 104472198 108634512 111221048 114649094 115490088 118239852 118559592 120214584 121884231 122213826 125123679 131027536 136056816 137946494 138319524 139296264 139672944 141612846 143977932 147405978 156708297 157653136 162512308 162951768 165214987 166831572 171973641 173235132 177359778 184426032 188817128 191970576 194636834 196541304 204085224 206919741 207479286 208944396 212419269 221108967 222442096 229298188 230980176 236479704 237119184 240429168 243768462 244427652 250247358 266039667 275892988 276639048 278592528 283225692 287955864 291955251 294811956 313416594 325024616 325903536 330429974 333663144 343947282 346470264 354719556 365652693 375371037 377634256 389273668 393082608 408170448 413839482 414958572 417888792 423692803 424838538 442217934 458596376 472959408 487536924 488855304 495644961 500494716 515920923 532079334 551785976 553278096 566451384 575911728 583910502 589623912 597813133 620759223 626833188 637257807 650049232 660859948 667326288 687894564 692940528 709439112 731305386 750742074 778547336 827678964 829917144 835777584 847385606 849677076 875865753 884435868 917192752 975073848 977710608 991289922 1000989432 1014892063 1031841846 1064158668 1096958079 1103571952 1132902768 1167821004 1179247824 1195626266 1241518446 1253666376 1271078409 1274515614 1321719896 1375789128 1418878224 1462610772 1486934883 1501484148 1547762769 1557094672 1655357928 1659834288 1694771212 1699354152 1751731506 1768871736 1793439399 1862277669 1950147696 1982579844 2001978864 2029784126 2063683692 2128317336 2193916158 2335642008 2391252532 2483036892 2507332752 2542156818 2549031228 2627597259 2643439792 2751578256 2925221544 2965849621 2973869766 3002968296 3044676189 3095525538 3310715856 3389542424 3398708304 3503463012 3537743472 3586878798 3724555338 3813235227 3965159688 4059568252 4127367384 4184691931 4256634672 4387832316 4460804649 4671284016 4782505064 4966073784 5084313636 5098062456 5255194518 5380318197 5850443088 5931699242 5947739532 6005936592 6089352378 6191051076 6779084848 7006926024 7104244441 7173757596 7449110676 7626470454 7930319376 8119136504 8254734768 8369383862 8775664632 8897548863 8921609298 9134028567 9565010128 9932147568 10168627272 10196124912 10510389036 10760636394 11439705681 11863398484 11895479064 12178704756 12382102152 12554075793 14013852048 14208488882 14347515192 14898221352 15252940908 16140954591 16238273008 16738767724 17551329264 17795097726 17843218596 18268057134 20337254544 21020778072 21312733323 21521272788 22879411362 23726796968 23790958128 24357409512 24764204304 25108151586 26692646589 27402085701 28416977764 28695030384 29796442704 30505881816 32281909182 33477535448 35590195452 35686437192 36536114268 37662227379 42041556144 42625466646 43042545576 43640358709 45758822724 47453593936 48714819024 50216303172 53385293178 54804171402 56833955528 61011763632 63938199969 64563818364 66955070896 71180390904 71372874384 73072228536 75324454758 80077939767 85250933292 86085091152 87280717418 91517645448 100432606344 106770586356 109608342804 112986682137 113667911056 127876399938 129127636728 130921076127 142360781808 146144457072 150648909516 160155879534 170501866584 174561434836 183035290896 191814599907 200865212688 213541172712 219216685608 225973364274 255752799876 258255273456 261842152254 301297819032 305482510963 320311759068 341003733168 349122869672 383629199814 392763228381 427082345424 438433371216 451946728548 511505599752 523684304508 602595638064 610965021926 640623518136 698245739344 767258399628 785526456762 903893457096 916447532889 1023011199504 1047368609016 1178289685143 1221930043852 1281247036272 1534516799256 1571052913524 1807786914192 1832895065778 2094737218032 2356579370286 2443860087704 2749342598667 3069033598512 3142105827048 3665790131556 4713158740572 4887720175408 5498685197334 6284211654096 7331580263112 8248027796001 9426317481144 10997370394668 14663160526224 16496055592002 18852634962288 21994740789336 32992111184004 43989481578672 65984222368008 131968444736016
- Sum of all divisors σ(n): 453737197056000
- Sum of proper divisors (its aliquot sum) s(n): 321768752319984
- 131968444736016 is an abundant number, because the sum of its proper divisors (321768752319984) is greater than itself. Its abundance is 189800307583968
Bases of 131968444736016
- Binary: 111100000000110010011000100010100100010000100002
- Hexadecimal: 0x78064C452210
- Base-36: 1AS1GSO6C0
Squares and roots of 131968444736016
- 131968444736016 squared (1319684447360162) is 17415670406042909099927552256
- 131968444736016 cubed (1319684447360163) is 2298318937520542980724957368045286965252096
-
The
square root of 131968444736016 is 11487751.9443978247 -
The
cube root of 131968444736016 is 50912.3760967165
Scales and comparisons
How big is 131968444736016?- 131,968,444,736,016 seconds is equal to 4,196,188 years, 17 weeks, 3 days, 19 hours, 33 minutes, 36 seconds.
-
To count from 1 to 131,968,444,736,016 would take you about ten million, four hundred ninety thousand, four hundred seventy 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 131968444736016 cubic inches would be around 4242.7 feet tall.
Recreational maths with 131968444736016
- 131968444736016 backwards is 610637444869131
- 131968444736016 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 131968444736016's digits is 63
- More coming soon!
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The information we have on file for 131968444736016 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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