13937375968704
13,937,375,968,704 is an even composite number composed of seven prime numbers multiplied together.
What does the number 13937375968704 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 1680 divisors.
13937375968704 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of one thousand, six hundred eighty divisors.
Prime factorization of 13937375968704:
26 × 34 × 192 × 31 × 37 × 43 × 151
(2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 19 × 19 × 31 × 37 × 43 × 151)See below for interesting mathematical facts about the number 13937375968704 from the Numbermatics database.
Names of 13937375968704
- Cardinal: 13937375968704 can be written as Thirteen trillion, nine hundred thirty-seven billion, three hundred seventy-five million, nine hundred sixty-eight thousand, seven hundred four.
Scientific notation
- Scientific notation: 1.3937375968704 × 1013
Factors of 13937375968704
Divisors of 13937375968704
- Number of divisors d(n): 1680
-
Complete list of divisors:
1 2 3 4 6 8 9 12 16 18 19 24 27 31 32 36 37 38 43 48 54 57 62 64 72 74 76 81 86 93 96 108 111 114 124 129 144 148 151 152 162 171 172 186 192 216 222 228 248 258 279 288 296 302 304 324 333 342 344 361 372 387 432 444 453 456 496 513 516 558 576 589 592 604 608 648 666 684 688 703 722 744 774 817 837 864 888 906 912 992 999 1026 1032 1083 1116 1147 1161 1178 1184 1208 1216 1296 1332 1333 1359 1368 1376 1406 1444 1488 1539 1548 1591 1634 1674 1728 1767 1776 1812 1824 1984 1998 2052 2064 2109 2166 2232 2294 2322 2356 2368 2416 2451 2511 2592 2664 2666 2718 2736 2752 2812 2869 2888 2976 2997 3078 3096 3182 3249 3268 3348 3441 3483 3534 3552 3624 3648 3996 3999 4077 4104 4128 4218 4332 4464 4588 4644 4681 4712 4773 4832 4902 5022 5184 5301 5328 5332 5436 5472 5587 5624 5738 5776 5952 5994 6156 6192 6327 6364 6493 6498 6536 6696 6882 6966 7068 7104 7248 7353 7992 7998 8154 8208 8256 8436 8607 8664 8928 9176 9288 9362 9424 9546 9664 9747 9804 10044 10323 10602 10656 10664 10872 10944 11174 11191 11248 11476 11552 11988 11997 12231 12312 12384 12654 12728 12986 12996 13072 13357 13392 13764 13932 14043 14136 14319 14496 14706 15523 15903 15984 15996 16308 16416 16761 16872 17214 17328 17856 18352 18576 18724 18848 18981 19092 19479 19494 19608 20088 20646 21204 21312 21328 21744 21793 22059 22348 22382 22496 22952 23104 23976 23994 24462 24624 24768 25308 25327 25456 25821 25972 25992 26144 26714 26784 27528 27864 28086 28272 28638 28992 29241 29412 30229 30969 31046 31806 31968 31992 32616 32832 33522 33573 33744 34428 34656 35991 36704 37152 37448 37696 37962 38184 38958 38988 39216 40071 40176 41292 42129 42408 42656 42957 43488 43586 44118 44696 44764 44992 45904 46569 47709 47952 47988 48924 49248 49321 50283 50616 50654 50912 51642 51944 51984 52288 53428 53568 54511 55056 55728 56172 56544 56943 57276 58437 58482 58824 60458 61938 62092 63612 63936 63984 65232 65379 66177 67044 67146 67488 68856 69312 71982 73408 74304 74896 75924 75981 76368 77463 77916 77976 78432 80142 80352 82584 84258 84816 85312 85914 86976 87172 88236 88939 89392 89528 90687 91808 92907 93138 95418 95904 95976 97848 98496 98642 100566 100719 101232 101308 101824 103284 103888 103968 106153 106856 107973 109022 110112 111456 112344 113088 113886 114552 116874 116964 117648 120213 120916 123367 123876 124184 126387 127224 127968 128871 130464 130758 132354 134088 134292 134976 137712 139707 143964 147963 149792 150849 151848 151962 152736 154926 155832 155952 156864 160284 160704 163533 165168 168516 169632 171828 173197 174344 175311 176472 177878 178784 179056 181374 183616 185814 186276 190836 191808 191952 195696 196137 197284 201132 201283 201438 202464 202616 206568 207776 207936 212306 213712 215946 218044 220224 222912 224688 227772 227943 229104 232389 233748 233928 235296 240241 240426 241832 246734 247752 248368 252774 254448 255936 257742 260928 261516 264708 266817 268176 268584 272061 275424 279414 287928 295926 299584 301698 302157 303696 303924 305472 309852 311664 311904 318459 320568 327066 330336 337032 339264 343656 346394 348688 350622 352944 355756 357568 358112 360639 362748 370101 371628 372552 379161 381672 383904 391392 392274 394568 402264 402566 402876 404928 405232 413136 414067 415552 419121 424612 427424 431892 436088 443889 449376 452547 455544 455886 458208 464778 467496 467856 470592 480482 480852 481213 483664 490599 493468 495504 496736 505548 508896 515484 519591 523032 525933 529416 533634 536352 537168 544122 550848 558828 574351 575856 588411 591852 603396 603849 604314 607392 607848 619704 623328 623808 636918 641136 654132 660672 674064 683829 687312 692788 697376 701244 705888 711512 716224 720723 721278 725496 740202 743256 745104 758322 763344 767808 782784 784548 789136 800451 804528 805132 805752 810464 816183 826272 828134 838242 849224 854848 863784 872176 887778 898752 905094 906471 911088 911772 916416 929556 934992 935712 937099 955377 960964 961704 962426 967328 981198 986936 991008 993472 1011096 1017792 1030968 1039182 1046064 1051866 1058832 1067268 1072704 1074336 1081917 1088244 1110303 1117656 1148702 1151712 1176822 1183704 1206792 1207698 1208628 1214784 1215696 1239408 1242201 1246656 1257363 1273836 1282272 1308264 1331667 1348128 1367658 1374624 1385576 1394752 1402488 1411776 1423024 1441446 1442556 1443639 1450992 1471797 1480404 1486512 1490208 1516644 1526688 1558773 1569096 1578272 1600902 1609056 1610264 1611504 1620928 1632366 1652544 1656268 1676484 1689841 1698448 1723053 1727568 1744352 1765233 1775556 1810188 1811547 1812942 1822176 1823544 1859112 1869984 1871424 1874198 1910754 1921928 1923408 1924852 1934656 1962396 1973872 1982016 2016907 2022192 2051487 2061936 2078364 2092128 2103732 2117664 2134536 2148672 2162169 2163834 2176488 2220606 2235312 2297404 2303424 2343973 2353644 2367408 2401353 2413584 2415396 2417256 2431392 2448549 2478816 2484402 2514726 2547672 2564544 2616528 2663334 2696256 2735316 2749248 2771152 2804976 2811297 2846048 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51228864 51892056 51971004 52235712 52651888 53294544 53414643 54074912 54456489 54774948 55137696 56115828 56255352 56487456 57632472 57969504 58014144 59233374 59579768 59625648 59974336 60834276 61144128 61190032 62029908 62524117 63287271 63920016 64541024 65215692 65647584 67027239 67078854 67471128 68787144 68838786 69189408 69242688 69294672 70646256 71059392 71219524 72608652 72663163 73033264 74821104 75007136 75905019 76843296 77838084 77956506 78353568 78977832 79500864 79941816 80471232 81112368 82162422 82706544 84383028 85226688 86727001 86954256 88850061 89369652 89438472 89961504 91251414 91716192 91785048 92392896 93044862 94195008 96811536 99761472 101206692 103258179 103784112 103942008 105303776 106589088 106829286 108149824 108912978 109549896 110275392 112231656 112510704 112974912 115264944 115939008 118466748 119159536 119251296 121668552 122380064 123243633 124059816 125048234 126574542 127840032 129082048 130431384 131295168 134054478 134157708 134942256 136877121 137574288 137677572 138378816 138589344 141292512 141501949 142439048 145217304 145326326 146066528 149642208 150014272 151810038 153686592 155676168 155913012 156707136 157955664 159883632 160243929 162224736 163369467 164324844 165413088 168766056 173454002 173908512 177700122 178739304 178876944 179923008 182502828 183432384 183570096 186089724 187572351 189861813 193623072 201081717 202413384 206516358 207568224 207884016 210607552 213178176 213658572 217825956 217989489 219099792 224463312 225021408 230529888 236933496 238319072 238502592 243337104 244760128 246487266 248119632 250096468 253149084 255680064 260181003 260862768 266550183 268108956 268315416 269884512 273754242 275148576 275355144 277178688 282585024 283003898 284878096 290434608 290652652 292133056 299284416 303620076 309774537 311352336 311826024 315911328 319767264 320487858 324449472 326738934 328649688 330826176 337532112 346908004 347817024 355400244 357478608 357753888 365005656 367140192 369730899 372179448 375144702 379723626 387246144 402163434 404826768 413032716 415136448 415768032 424505847 427317144 435651912 435978978 438199584 448926624 450042816 461059776 473866992 476638144 480731787 486674208 492974532 496239264 500192936 506298168 520362006 521725536 533100366 536217912 536630832 539769024 547508484 550297152 550710288 562717053 566007796 569756192 580869216 581305304 603245151 607240152 619549074 622704672 623652048 631822656 639534528 640975716 653477868 653968467 657299376 675064224 693816008 710800488 714957216 715507776 730011312 734280384 739461798 744358896 750289404 759447252 780543009 804326868 809653536 826065432 831536064 849011694 854634288 871303824 871957956 876399168 897853248 947733984 961463574 973348416 985949064 992478528 1000385872 1012596336 1040724012 1043451072 1066200732 1072435824 1073261664 1095016968 1101420576 1125434106 1132015592 1139512384 1161738432 1162610608 1206490302 1214480304 1239098148 1245409344 1247304096 1273517541 1281951432 1306955736 1307936934 1314598752 1350128448 1387632016 1421600976 1429914432 1442195361 1460022624 1478923596 1488717792 1500578808 1518894504 1561086018 1608653736 1619307072 1652130864 1688151159 1698023388 1709268576 1742607648 1743915912 1895467968 1922927148 1961905401 1971898128 2000771744 2025192672 2081448024 2132401464 2144871648 2146523328 2190033936 2202841152 2250868212 2264031184 2325221216 2341629027 2412980604 2428960608 2478196296 2494608192 2547035082 2563902864 2613911472 2615873868 2629197504 2688537031 2775264032 2843201952 2884390722 2920045248 2957847192 2977435584 3001157616 3037789008 3122172036 3217307472 3304261728 3376302318 3396046776 3418537152 3485215296 3487831824 3820552623 3845854296 3923810802 3943796256 4001543488 4050385344 4162896048 4264802928 4289743296 4380067872 4501736424 4528062368 4650442432 4683258054 4825961208 4857921216 4956392592 5064453477 5094070164 5127805728 5227822944 5231747736 5377074062 5550528064 5686403904 5768781444 5885716203 5915694384 6002315232 6075578016 6244344072 6434614944 6608523456 6752604636 6792093552 6975663648 7024887081 7641105246 7691708592 7847621604 7887592512 8065611093 8325792096 8529605856 8760135744 9003472848 9056124736 9366516108 9651922416 9912785184 10128906954 10188140328 10255611456 10455645888 10463495472 10754148124 11461657869 11537562888 11771432406 11831388768 12004630464 12151156032 12488688144 12869229888 13505209272 13584187104 13951327296 14049774162 15282210492 15383417184 15695243208 16131222186 16651584192 17059211712 18006945696 18733032216 19303844832 19825570368 20257813908 20376280656 20926990944 21508296248 22923315738 23075125776 23542864812 23662777536 24196833279 24977376288 27010418544 27168374208 28099548324 30564420984 30766834368 31390486416 32262444372 36013891392 37466064432 38607689664 40515627816 40752561312 41853981888 43016592496 45846631476 46150251552 47085729624 48393666558 49954752576 54020837088 56199096648 61128841968 62780972832 64524888744 72590499837 74932128864 81031255632 81505122624 86033184992 91693262952 92300503104 94171459248 96787333116 108041674176 112398193296 122257683936 125561945664 129049777488 145180999674 149864257728 162062511264 172066369984 183386525904 188342918496 193574666232 217771499511 224796386592 244515367872 258099554976 290361999348 324125022528 366773051808 376685836992 387149332464 435542999022 449592773184 516199109952 580723998696 733546103616 774298664928 871085998044 1161447997392 1548597329856 1742171996088 2322895994784 3484343992176 4645791989568 6968687984352 13937375968704
- Sum of all divisors σ(n): 47615012898816
- Sum of proper divisors (its aliquot sum) s(n): 33677636930112
- 13937375968704 is an abundant number, because the sum of its proper divisors (33677636930112) is greater than itself. Its abundance is 19740260961408
Bases of 13937375968704
- Binary: 110010101101000011000101011111111101110000002
- Hexadecimal: 0xCAD0C57FDC0
- Base-36: 4XUQPSS00
Squares and roots of 13937375968704
- 13937375968704 squared (139373759687042) is 194250448893007762387439616
- 13937375968704 cubed (139373759687043) is 2707341538311370906756832673810305777664
-
The
square root of 13937375968704 is 3733279.5192302437 -
The
cube root of 13937375968704 is 24065.4325385007
Scales and comparisons
How big is 13937375968704?- 13,937,375,968,704 seconds is equal to 443,165 years, 23 weeks, 20 hours, 38 minutes, 24 seconds.
-
To count from 1 to 13,937,375,968,704 would take you about one million, one hundred seven thousand, nine hundred thirteen 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 13937375968704 cubic inches would be around 2005.5 feet tall.
Recreational maths with 13937375968704
- 13937375968704 backwards is 40786957373931
- 13937375968704 is a
Harshad number . - The number of decimal digits it has is: 14
- The sum of 13937375968704's digits is 72
- More coming soon!
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Cite this page
MLA style:
"Number 13937375968704 - Facts about the integer". Numbermatics.com. 2024. Web. 31 May 2024.
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Numbermatics. (2024). Number 13937375968704 - Facts about the integer. Retrieved 31 May 2024, from https://numbermatics.com/n/13937375968704/
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The information we have on file for 13937375968704 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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