137971589130144
137,971,589,130,144 is an even composite number composed of six prime numbers multiplied together.
137971589130144 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one thousand and eight divisors.
Prime factorization of 137971589130144:
25 × 36 × 7 × 11 × 89 × 9292
(2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 3 × 7 × 11 × 89 × 929 × 929)See below for interesting mathematical facts about the number 137971589130144 from the Numbermatics database.
Names of 137971589130144
- Cardinal: 137971589130144 can be written as One hundred thirty-seven trillion, nine hundred seventy-one billion, five hundred eighty-nine million, one hundred thirty thousand, one hundred forty-four.
Scientific notation
- Scientific notation: 1.37971589130144 × 1014
Factors of 137971589130144
Divisors of 137971589130144
- Number of divisors d(n): 1008
-
Complete list of divisors:
1 2 3 4 6 7 8 9 11 12 14 16 18 21 22 24 27 28 32 33 36 42 44 48 54 56 63 66 72 77 81 84 88 89 96 99 108 112 126 132 144 154 162 168 176 178 189 198 216 224 231 243 252 264 267 288 297 308 324 336 352 356 378 396 432 462 486 504 528 534 567 594 616 623 648 672 693 712 729 756 792 801 864 891 924 929 972 979 1008 1056 1068 1134 1188 1232 1246 1296 1386 1424 1458 1512 1584 1602 1701 1782 1848 1858 1869 1944 1958 2016 2079 2136 2268 2376 2403 2464 2492 2592 2673 2772 2787 2848 2916 2937 3024 3168 3204 3402 3564 3696 3716 3738 3888 3916 4158 4272 4536 4752 4806 4984 5103 5346 5544 5574 5607 5832 5874 6048 6237 6408 6503 6804 6853 7128 7209 7392 7432 7476 7776 7832 8019 8316 8361 8544 8811 9072 9504 9612 9968 10206 10219 10692 11088 11148 11214 11664 11748 12474 12816 13006 13608 13706 14256 14418 14864 14952 15664 16038 16632 16722 16821 17622 18144 18711 19224 19509 19936 20412 20438 20559 21384 21627 22176 22296 22428 23328 23496 24948 25083 25632 26012 26433 27216 27412 28512 28836 29728 29904 30657 31328 32076 33264 33444 33642 35244 37422 38448 39018 40824 40876 41118 42768 43254 44592 44856 46992 49896 50166 50463 52024 52866 54432 54824 56133 57672 58527 59808 61314 61677 64152 64881 66528 66888 67284 70488 71533 74844 75249 76896 78036 79299 81648 81752 82236 82681 85536 86508 89184 89712 91971 93984 99792 100332 100926 104048 105732 109648 112266 115344 117054 122628 123354 128304 129762 133776 134568 140976 143066 149688 150498 151389 156072 158598 163296 163504 164472 165362 173016 175581 179424 183942 185031 199584 200664 201852 208096 211464 214599 219296 224532 225747 230688 234108 237897 245256 246708 248043 256608 259524 267552 269136 275913 281952 286132 299376 300996 302778 312144 317196 327008 328944 330724 346032 351162 367884 370062 401328 403704 422928 429198 449064 451494 454167 468216 475794 490512 493416 496086 519048 526743 538272 551826 555093 572264 578767 598752 601992 605556 624288 634392 643797 657888 661448 677241 692064 702324 713691 735768 740124 744129 802656 807408 827739 845856 858396 863041 898128 902988 908334 909491 936432 951588 981024 986832 992172 1038096 1053486 1103652 1110186 1144528 1157534 1203984 1211112 1268784 1287594 1322896 1354482 1404648 1427382 1471536 1480248 1488258 1580229 1614816 1655478 1665279 1716792 1726082 1736301 1796256 1805976 1816668 1818982 1872864 1903176 1931391 1973664 1984344 2076192 2106972 2207304 2220372 2232387 2289056 2315068 2407968 2422224 2483217 2537568 2575188 2589123 2645792 2708964 2728473 2809296 2854764 2943072 2960496 2976516 3160458 3310956 3330558 3433584 3452164 3472602 3611952 3633336 3637964 3806352 3862782 3968688 4213944 4414608 4440744 4464774 4630136 4740687 4844448 4966434 4995837 5150376 5178246 5208903 5417928 5456946 5618592 5709528 5794173 5920992 5953032 6041287 6320916 6366437 6621912 6661116 6697161 6867168 6904328 6945204 7223904 7266672 7275928 7449651 7612704 7725564 7767369 7937376 8185419 8427888 8829216 8881488 8929548 9260272 9481374 9493451 9932868 9991674 10300752 10356492 10417806 10835856 10913892 11419056 11588346 11906064 12082574 12641832 12732874 13243824 13322232 13394322 13808656 13890408 14533344 14551856 14899302 15451128 15534738 15626709 16370838 16855776 17382519 17762976 17859096 18123861 18520544 18962748 18986902 19099311 19865736 19983348 20091483 20601504 20712984 20835612 21671712 21827784 22838112 23176692 23302107 23812128 24165148 24556257 25283664 25465748 26487648 26644464 26788644 27617312 27780816 28480353 29103712 29798604 30902256 31069476 31253418 32741676 34765038 35718192 36247722 37925496 37973804 38198622 39731472 39966696 40182966 41425968 41671224 43655568 46353384 46604214 46880127 48330296 49112514 50567328 50931496 52147557 53288928 53577288 54371583 55561632 56960706 57297933 59597208 60274449 61804512 62138952 62506836 65483352 66454157 69530076 69906321 71436384 72495444 73668771 75850992 75947608 76397244 76810649 79462944 79933392 80365932 82851936 83342448 85441059 87311136 92706768 93208428 93760254 96660592 98225028 101862992 104295114 107154576 108743166 113921412 114595866 119194416 120548898 124277904 125013672 130966704 132908314 139060152 139812642 140640381 144990888 147337542 151701984 151895216 152794488 153621298 159866784 160731864 163114749 166684896 170882118 171893799 185413536 186416856 187520508 193321184 196450056 199362471 203725984 208590228 209718963 214309152 217486332 221006313 227842824 229191732 230431947 238388832 241097796 248555808 250027344 256323177 261933408 265816628 278120304 279625284 281280762 289981776 294675084 303790432 305588976 307242596 321463728 326229498 341764236 343787598 372833712 375041016 392900112 398724942 417180456 419437926 421921143 434972664 442012626 455685648 458383464 460863894 482195592 489344247 500054688 512646354 515681397 531633256 537674543 556240608 559250568 562561524 579963552 589350168 598087413 611177952 614485192 629156889 642927456 652458996 663018939 683528472 687575196 691295841 745667424 750082032 768969531 785800224 797449884 834360912 838875852 843842286 844917139 869945328 884025252 911371296 916766928 921727788 964391184 978688494 1025292708 1031362794 1063266512 1075349086 1118501136 1125123048 1178700336 1196174826 1228970384 1258313778 1304917992 1326037878 1367056944 1375150392 1382591682 1468032741 1500164064 1537939062 1547044191 1594899768 1613023629 1668721824 1677751704 1687684572 1689834278 1739890656 1768050504 1794262239 1833533856 1843455576 1928782368 1957376988 2050585416 2062725588 2073887523 2126533024 2150698172 2237002272 2250246096 2306908593 2357400672 2392349652 2457940768 2516627556 2534751417 2609835984 2652075756 2734113888 2750300784 2765183364 2936065482 3075878124 3094088382 3189799536 3226047258 3355503408 3375369144 3379668556 3536101008 3588524478 3686911152 3914753976 4101170832 4125451176 4147775046 4301396344 4404098223 4500492192 4613817186 4641132573 4784699304 4839070887 5033255112 5069502834 5219671968 5304151512 5382786717 5500601568 5530366728 5872130964 5914419973 6151756248 6188176764 6221662569 6379599072 6452094516 6711006816 6750738288 6759337112 6920725779 7072202016 7177048956 7373822304 7604254251 7829507952 8202341664 8250902352 8295550092 8602792688 8808196446 9227634372 9282265146 9569398608 9678141774 10066510224 10139005668 10608303024 10765573434 11060733456 11744261928 11828839946 12303512496 12376353528 12443325138 12904189032 13501476576 13518674224 13841451558 14354097912 14517212661 15208508502 15659015904 16148360151 16501804704 16591100184 17205585376 17616392892 17743259919 18455268744 18564530292 18664987707 19138797216 19356283548 20133020448 20278011336 21216606048 21531146868 22121466912 22812762753 23488523856 23657679892 24607024992 24752707056 24886650276 25808378064 27037348448 27682903116 28708195824 29034425322 30417017004 32296720302 33182200368 35232785784 35486519838 36910537488 37129060584 37329975414 38712567096 40556022672 43062293736 43551637983 45625525506 46977047712 47315359784 48445080453 49505414112 49773300552 51616756128 53229779757 55365806232 55994963121 57416391648 58068850644 60834034008 64593440604 66364400736 68438288259 70465571568 70973039676 73821074976 74258121168 74659950828 77425134192 81112045344 86124587472 87103275966 91251051012 94630719568 96890160906 99546601104 106459559514 110731612464 111989926242 116137701288 121668068016 129186881208 130654913949 136876576518 140931143136 141946079352 148516242336 149319901656 154850268384 159689339271 172249174944 174206551932 182502102024 189261439136 193780321812 199093202208 205314864777 212919119028 221463224928 223979852484 232275402576 243336136032 258373762416 261309827898 273753153036 283892158704 298639803312 319378678542 348413103864 365004204048 387560643624 391964741847 410629729554 425838238056 447959704968 464550805152 479068017813 516747524832 522619655796 547506306072 567784317408 597279606624 615944594331 638757357084 696826207728 730008408096 775121287248 783929483694 821259459108 851676476112 895919409936 958136035626 1045239311592 1095012612144 1231889188662 1277514714168 1393652415456 1437204053439 1550242574496 1567858967388 1642518918216 1703352952224 1791838819872 1916272071252 2090478623184 2190025224288 2463778377324 2555029428336 2874408106878 3135717934776 3285037836432 3832544142504 4180957246368 4311612160317 4927556754648 5110058856672 5748816213756 6271435869552 6570075672864 7665088285008 8623224320634 9855113509296 11497632427512 12542871739104 15330176570016 17246448641268 19710227018592 22995264855024 34492897282536 45990529710048 68985794565072 137971589130144
- Sum of all divisors σ(n): 514012427328960
- Sum of proper divisors (its aliquot sum) s(n): 376040838198816
- 137971589130144 is an abundant number, because the sum of its proper divisors (376040838198816) is greater than itself. Its abundance is 238069249068672
Bases of 137971589130144
- Binary: 111110101111100000000111000111100100111101000002
- Hexadecimal: 0x7D7C038F27A0
- Base-36: 1CWN9TUI00
Squares and roots of 137971589130144
- 137971589130144 squared (1379715891301442) is 19036159407097269974569460736
- 137971589130144 cubed (1379715891301443) is 2626449164331950145830605192189397402025984
-
The
square root of 137971589130144 is 11746130.8153001599 -
The
cube root of 137971589130144 is 51672.9459659813
Scales and comparisons
How big is 137971589130144?- 137,971,589,130,144 seconds is equal to 4,387,069 years, 39 weeks, 3 days, 17 hours, 2 minutes, 24 seconds.
-
To count from 1 to 137,971,589,130,144 would take you about ten million, nine hundred sixty-seven thousand, six hundred seventy-four 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 137971589130144 cubic inches would be around 4306.1 feet tall.
Recreational maths with 137971589130144
- 137971589130144 backwards is 441031985179731
- 137971589130144 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 137971589130144's digits is 63
- More coming soon!
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The information we have on file for 137971589130144 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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