137970781439744
137,970,781,439,744 is an even composite number composed of six prime numbers multiplied together.
What does the number 137970781439744 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 972 divisors.
137970781439744 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of nine hundred seventy-two divisors.
Prime factorization of 137970781439744:
28 × 112 × 192 × 312 × 37 × 347
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 11 × 11 × 19 × 19 × 31 × 31 × 37 × 347)See below for interesting mathematical facts about the number 137970781439744 from the Numbermatics database.
Names of 137970781439744
- Cardinal: 137970781439744 can be written as One hundred thirty-seven trillion, nine hundred seventy billion, seven hundred eighty-one million, four hundred thirty-nine thousand, seven hundred forty-four.
Scientific notation
- Scientific notation: 1.37970781439744 × 1014
Factors of 137970781439744
Divisors of 137970781439744
- Number of divisors d(n): 972
-
Complete list of divisors:
1 2 4 8 11 16 19 22 31 32 37 38 44 62 64 74 76 88 121 124 128 148 152 176 209 242 248 256 296 304 341 347 352 361 407 418 484 496 589 592 608 682 694 703 704 722 814 836 961 968 992 1147 1178 1184 1216 1364 1388 1406 1408 1444 1628 1672 1922 1936 1984 2294 2299 2356 2368 2432 2728 2776 2812 2816 2888 3256 3344 3751 3817 3844 3872 3968 3971 4477 4588 4598 4712 4736 4864 5456 5552 5624 5776 6479 6512 6593 6688 7502 7634 7688 7733 7744 7936 7942 8954 9176 9196 9424 9472 10571 10757 10912 11104 11191 11248 11552 12617 12839 12958 13024 13186 13357 13376 15004 15268 15376 15466 15488 15884 17908 18259 18352 18392 18848 21142 21514 21793 21824 22208 22382 22496 23104 25234 25678 25916 26048 26372 26714 26752 30008 30536 30752 30932 30976 31768 35557 35816 36518 36704 36784 37696 41987 42284 43028 43586 43648 43681 44416 44764 44992 46208 50468 51356 51832 52096 52744 53428 53504 60016 61072 61504 61864 63536 71114 71269 71632 72523 73036 73408 73568 75392 83974 84568 85063 86056 87172 87296 87362 88832 89528 89984 92416 100936 102712 103664 104192 105488 106856 116281 118327 120032 122144 123008 123101 123728 125267 127072 138787 141229 142228 142538 143264 145046 146072 146816 146927 147136 150784 167948 169136 170126 172112 174344 174724 179056 179968 200849 201872 204383 205424 207328 210976 213712 232562 236654 239723 240064 243941 244288 246016 246202 247456 250534 254144 277574 282458 284456 285076 286528 290092 292144 293632 293854 294272 333467 335896 338272 340252 344224 346921 348688 349448 358112 391127 398009 401698 403744 408766 410848 414067 414656 421952 427424 465124 473308 479446 480128 487882 488576 492404 494912 501068 508288 555148 564916 568912 570152 573056 580184 584288 587708 588544 666934 671792 675583 676544 680504 688448 693842 697376 698896 716224 782254 796018 797753 803396 807488 817532 821696 828134 829312 843904 854848 930248 946616 958892 960256 975764 977152 984808 989824 1002136 1016576 1110296 1129832 1137824 1140304 1146112 1160368 1168576 1175416 1301597 1333868 1343584 1351166 1353088 1354111 1361008 1376896 1377937 1387684 1394752 1397792 1432448 1553519 1564508 1592036 1595506 1606792 1614976 1616197 1635064 1643392 1656268 1658624 1687808 1709696 1860496 1893232 1917784 1951528 1969616 1979648 2004272 2209339 2220592 2248213 2259664 2275648 2280608 2320736 2337152 2350832 2603194 2636953 2667736 2683351 2687168 2702332 2706176 2708222 2722016 2753792 2755874 2775368 2789504 2795584 2864896 3107038 3129016 3184072 3191012 3213584 3229952 3232394 3270128 3286784 3312536 3419392 3668137 3720992 3786464 3816131 3835568 3883277 3903056 3939232 4008544 4302397 4378099 4418678 4441184 4496426 4519328 4551296 4554737 4561216 4634879 4641472 4674304 4701664 5206388 5273906 5335472 5366702 5374336 5404664 5416444 5444032 5511748 5550736 5579008 5591168 6214076 6258032 6335873 6368144 6382024 6427168 6464788 6540256 6625072 7336274 7431413 7441984 7562171 7572928 7632262 7671136 7766554 7806112 7878464 8017088 8604794 8756198 8837356 8882368 8992852 9038656 9102592 9109474 9122432 9269758 9282944 9403328 10412776 10547812 10670944 10733404 10748672 10809328 10832888 10888064 11023496 11101472 11182336 12338279 12428152 12516064 12671746 12736288 12764048 12836077 12854336 12929576 13080512 13250144 14672548 14862826 14883968 15124342 15145856 15157307 15264524 15342272 15533108 15612224 15756928 16034176 17209588 17512396 17674712 17764736 17985704 18077312 18218948 18244864 18539516 18565888 18806656 20825552 21095624 21341888 21466808 21618656 21665776 21776128 22046992 22202944 24676558 24730343 24856304 25032128 25343492 25472576 25528096 25672154 25708672 25859152 26161024 26500288 29345096 29516861 29725652 29767936 30248684 30291712 30314614 30529048 30684544 31066216 31224448 31513856 32068352 34419176 35024792 35349424 35529472 35971408 36154624 36437896 37079032 37613312 40349507 41651104 41977441 42191248 42683776 42716047 42933616 43237312 43331552 44093984 44405888 48159089 49353116 49460686 49712608 50064256 50102107 50686984 50945152 50983669 51056192 51344308 51417344 51718304 52322048 53000576 58690192 59033722 59451304 60497368 60629228 61058096 61369088 62132432 62448896 68838352 69694603 70049584 70698848 71942816 72875792 74158064 80699014 81745543 83183881 83302208 83954882 84382496 85367552 85432094 85867232 86474624 86663104 88187968 88811776 96318178 98706232 98921372 99425216 100128512 100204214 101373968 101890304 101967338 102112384 102688616 103436608 106001152 117380384 118067444 118902608 120381587 120994736 121258456 122116192 124264864 135721069 137676704 139389206 140099168 141196847 141397696 143681249 143885632 145751584 148316128 161398028 163491086 166367762 166604416 167909764 168764992 170864188 171734464 172949248 173326208 176375936 192636356 197412464 197842744 198850432 200408428 202747936 203934676 204224768 205377232 206873216 234427301 234760768 236134888 237805216 240763174 241989472 242516912 244232384 248529728 271442138 275353408 278778412 280198336 282393694 282795392 287362498 287771264 291503168 296632256 322796056 326982172 332735524 333208832 335819528 337529984 341728376 343468928 346652416 352751872 385272712 394824928 395685488 397700864 400816856 405495872 407869352 410754464 413746432 468854602 469521536 469876517 472269776 475610432 481526348 483978944 485033824 488464768 497059456 542884276 550706816 557556824 560396672 560820359 564787388 565590784 574724996 575542528 583006336 593264512 645592112 653964344 665471048 671639056 675059968 683456752 686937856 766640633 770545424 789649856 791370976 801633712 810991744 815738704 821508928 915022691 937709204 939043072 939753034 944539552 951220864 963052696 967957888 970067648 976929536 994118912 1085768552 1101413632 1115113648 1120793344 1121640718 1129574776 1149449992 1166012672 1186529024 1291184224 1307928688 1324197457 1330942096 1343278112 1366913504 1492931759 1533281266 1541090848 1553165317 1579299712 1580493739 1582741952 1603267424 1621983488 1631477408 1643017856 1830045382 1875418408 1879506068 1889079104 1902441728 1926105392 1935915776 1940135296 2171537104 2230227296 2243281436 2259149552 2298899984 2578700311 2582368448 2615857376 2648394914 2661884192 2686556224 2733827008 2985863518 3066562532 3082181696 3106330634 3158599424 3160987478 3165483904 3206534848 3262954816 3286035712 3660090764 3750836816 3759012136 3778158208 3852210784 3880270592 4343074208 4454118719 4460454592 4486562872 4518299104 4597799968 5157400622 5164736896 5231714752 5296789828 5323768384 5373112448 5467654016 5971727036 6133125064 6164363392 6212661268 6321974956 6330967808 6413069696 6525909632 7320181528 7501673632 7518024272 7556316416 7704421568 8686148416 8908237438 8920909184 8973125744 9036598208 9195599936 10314801244 10329473792 10463429504 10593579656 10647536768 10746224896 10935308032 11943454072 12266250128 12328726784 12425322536 12643949912 12826139392 13051819264 14566172027 14640363056 15003347264 15036048544 15408843136 17372296832 17385431129 17816474876 17841818368 17946251488 18073196416 18391199872 20629602488 20926859008 21187159312 21295073536 23886908144 24532500256 24850645072 25287899824 28365703421 29132344054 29280726112 30006694528 30072097088 30817686272 34744593664 34770862258 35632949752 35892502976 36146392832 36782399744 41259204976 42374318624 47773816288 48995305909 49065000512 49701290144 50575799648 56731406842 58264688108 58561452224 60013389056 60144194176 69541724516 71265899504 71785005952 82518409952 84748637248 95547632576 97990611818 98130001024 99402580288 101151599296 113462813684 116529376216 117122904448 120288388352 139083449032 142531799008 143570011904 165036819904 169497274496 191095265152 195981223636 196260002048 198805160576 202303198592 226925627368 233058752432 234245808896 278166898064 285063598016 330073639808 338994548992 382190530304 391962447272 397610321152 404606397184 453851254736 466117504864 538948364999 556333796128 570127196032 660147279616 783924894544 907702509472 932235009728 1077896729998 1112667592256 1140254392064 1567849789088 1815405018944 1864470019456 2155793459996 2225335184512 3135699578176 3630810037888 3728940038912 4311586919992 4450670369024 6271399156352 7261620075776 8623173839984 12542798312704 17246347679968 34492695359936 68985390719872 137970781439744
- Sum of all divisors σ(n): 340024026459096
- Sum of proper divisors (its aliquot sum) s(n): 202053245019352
- 137970781439744 is an abundant number, because the sum of its proper divisors (202053245019352) is greater than itself. Its abundance is 64082463579608
Bases of 137970781439744
- Binary: 111110101111011110100110110101011000111000000002
- Hexadecimal: 0x7D7BD36AC700
- Base-36: 1CWMWGYW3K
Squares and roots of 137970781439744
- 137970781439744 squared (1379707814397442) is 19035936531093607433502785536
- 137970781439744 cubed (1379707814397443) is 2626403038632354675637012193315672538742784
-
The
square root of 137970781439744 is 11746096.4341241469 -
The
cube root of 137970781439744 is 51672.8451340539
Scales and comparisons
How big is 137970781439744?- 137,970,781,439,744 seconds is equal to 4,387,044 years, 4 weeks, 10 hours, 35 minutes, 44 seconds.
-
To count from 1 to 137,970,781,439,744 would take you about ten million, nine hundred sixty-seven thousand, six hundred ten 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 137970781439744 cubic inches would be around 4306.1 feet tall.
Recreational maths with 137970781439744
- 137970781439744 backwards is 447934187079731
- 137970781439744 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 137970781439744's digits is 74
- More coming soon!
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The information we have on file for 137970781439744 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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