137129295494989824
137,129,295,494,989,824 is an even composite number composed of six prime numbers multiplied together.
What does the number 137129295494989824 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 1728 divisors.
137129295494989824 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one thousand, seven hundred twenty-eight divisors.
Prime factorization of 137129295494989824:
211 × 3 × 132 × 31 × 613 × 1372
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 13 × 13 × 31 × 61 × 61 × 61 × 137 × 137)See below for interesting mathematical facts about the number 137129295494989824 from the Numbermatics database.
Names of 137129295494989824
- Cardinal: 137129295494989824 can be written as One hundred thirty-seven quadrillion, one hundred twenty-nine trillion, two hundred ninety-five billion, four hundred ninety-four million, nine hundred eighty-nine thousand, eight hundred twenty-four.
Scientific notation
- Scientific notation: 1.37129295494989824 × 1017
Factors of 137129295494989824
Divisors of 137129295494989824
- Number of divisors d(n): 1728
-
Complete list of divisors:
1 2 3 4 6 8 12 13 16 24 26 31 32 39 48 52 61 62 64 78 93 96 104 122 124 128 137 156 169 183 186 192 208 244 248 256 274 312 338 366 372 384 403 411 416 488 496 507 512 548 624 676 732 744 768 793 806 822 832 976 992 1014 1024 1096 1209 1248 1352 1464 1488 1536 1586 1612 1644 1664 1781 1891 1952 1984 2028 2048 2192 2379 2418 2496 2704 2928 2976 3072 3172 3224 3288 3328 3562 3721 3782 3904 3968 4056 4247 4384 4758 4836 4992 5239 5343 5408 5673 5856 5952 6144 6344 6448 6576 6656 7124 7442 7564 7808 7936 8112 8357 8494 8768 9516 9672 9984 10309 10478 10686 10816 11163 11346 11712 11904 12688 12741 12896 13152 13312 14248 14884 15128 15616 15717 15872 16224 16714 16988 17536 18769 19032 19344 19968 20618 20956 21372 21632 22326 22692 23153 23424 23808 24583 25071 25376 25482 25792 26304 26624 28496 29768 30256 30927 31232 31434 31744 32448 33428 33976 35072 37538 38064 38688 39936 41236 41912 42744 43264 44652 45384 46306 46848 47616 48373 49166 50142 50752 50964 51584 52608 55211 56307 56992 59536 60512 61854 62464 62868 63488 64896 66856 67952 69459 70144 73749 75076 76128 77376 79872 82472 83824 85488 86528 89304 90768 92612 93696 95232 96746 98332 100284 101504 101928 103168 105216 108641 110422 112614 113984 115351 119072 121024 123708 124928 125736 129792 133712 135904 138918 140288 145119 147498 150152 152256 154752 164944 165633 167648 170976 173056 178608 181536 185224 187392 190464 193492 196664 200568 203008 203856 206336 210432 217282 220844 225228 226981 227968 230702 238144 242048 243997 247416 251472 259067 259584 267424 271808 277836 280576 290238 294996 300304 304512 309504 319579 325923 329888 331266 335296 341952 346053 346112 357216 363072 370448 374784 386984 393328 401136 406016 407712 412672 420864 434564 441688 450456 453962 455936 461404 476288 484096 487994 494832 502944 509777 518134 519168 534848 543616 555672 580476 581839 589992 600608 609024 619008 628849 639158 651846 659776 662532 670592 680943 683904 692106 714432 717743 726144 731991 740896 773968 777201 786656 802272 812032 815424 825344 841728 869128 883376 900912 907924 911872 922808 952576 958737 968192 975988 989664 1005888 1019554 1036268 1038336 1069696 1087232 1111344 1144909 1160952 1163678 1179984 1201216 1218048 1238016 1257698 1278316 1303692 1319552 1325064 1341184 1361886 1367808 1384212 1412333 1428864 1435486 1452288 1463982 1481792 1499563 1529331 1547936 1554402 1573312 1604544 1624064 1630848 1738256 1745517 1766752 1801824 1815848 1823744 1845616 1886547 1905152 1917474 1936384 1951976 1979328 2011776 2039108 2072536 2139392 2153229 2174464 2222688 2289818 2321904 2327356 2359968 2402432 2436096 2476032 2515396 2556632 2607384 2639104 2650128 2682368 2723772 2735616 2768424 2824666 2857728 2870972 2904576 2927964 2950753 2963584 2999126 3058662 3095872 3108804 3146624 3171961 3209088 3261696 3367871 3434727 3476512 3491034 3533504 3603648 3631696 3647488 3691232 3773094 3810304 3834948 3872768 3903952 3958656 4023552 4078216 4145072 4236999 4278784 4306458 4348928 4445376 4498689 4579636 4643808 4654712 4719936 4804864 4872192 5030792 5113264 5214768 5278208 5300256 5364736 5447544 5471232 5536848 5649332 5715456 5741944 5809152 5855928 5901506 5927168 5998252 6117324 6191744 6217608 6293248 6343922 6418176 6523392 6627101 6735742 6869454 6953024 6982068 7036411 7067008 7207296 7263392 7382464 7546188 7563907 7620608 7669896 7807904 7917312 8047104 8156432 8290144 8473998 8557568 8612916 8697856 8852259 8890752 8997378 9159272 9287616 9309424 9439872 9515883 9609728 10061584 10103613 10226528 10429536 10556416 10600512 10729472 10895088 10942464 11073696 11298664 11430912 11483888 11618304 11711856 11803012 11854336 11996504 12234648 12383488 12435216 12586496 12687844 12836352 13046784 13254202 13471484 13738908 13906048 13964136 14072822 14134016 14414592 14526784 14764928 14883817 15092376 15127814 15339792 15615808 15803087 15834624 16094208 16312864 16580288 16947996 17115136 17225832 17704518 17781504 17994756 18318544 18575232 18618848 18879744 19031766 19219456 19494319 19881303 20123168 20207226 20453056 20859072 21109233 21112832 21201024 21790176 22147392 22597328 22691721 22861824 22967776 23423712 23606024 23708672 23993008 24469296 24766976 24870432 25172992 25375688 25672704 26093568 26508404 26942968 27477816 27812096 27928272 28145644 28268032 28829184 29053568 29529856 29767634 30184752 30255628 30679584 31096397 31231616 31606174 31669248 32188416 32625728 33160576 33895992 34451664 35409036 35492179 35563008 35989512 36637088 37150464 37237696 37759488 38063532 38359789 38438912 38988638 39762606 40246336 40414452 40906112 41718144 42218466 42402048 43580352 43782323 44294784 44651451 45194656 45383442 45935552 46847424 47212048 47409261 47417344 47986016 48938592 49533952 49740864 50345984 50751376 51345408 53016808 53885936 54955632 55624192 55856544 56291288 56536064 57658368 58107136 58482957 59059712 59535268 60369504 60511256 61359168 62192794 62463232 63212348 63338496 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13572302848 13628996736 14269841508 14410569728 14526605392 14730158976 14764746464 14971636992 15241028608 15423812912 15490881536 15765873279 15921355264 16024330218 16182361088 16541244096 16812412032 17040825556 17320183352 17562881856 17878898944 17994534753 18129426432 18171995648 18575003616 18879511872 19026455344 19404151728 19488528384 19640211968 19722252576 19962182656 20358454272 20692199424 21021164372 21365773624 21615854592 21789908088 22054992128 22147119696 22416549376 22861542912 23135719368 23236322304 23417175808 23605733762 23882032896 23992713004 24273541632 24766671488 25063695982 25172682496 25561238334 25872202304 25980275028 26296336768 26818348416 27257993472 28145297947 28539683016 29053210784 29460317952 29529492928 29943273984 30482057216 30847625824 31531746558 31842710528 32048660436 32364722176 33082488192 33624824064 34081651112 34640366704 35125763712 35408600643 35757797888 35989069506 36343991296 37150007232 37595543973 37759023744 38052910688 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116212843136 117841271808 118117971712 119773095936 123390503296 126126986232 128194641744 132066398059 132329952768 134499296256 136326604448 138561466816 140503054848 141634402572 143031191552 143956278024 148600028928 150382175892 151036094976 152211642752 155233213824 157778020608 162914023883 166148049171 168169314976 168871787682 170926188992 174319264704 176439937024 177176957568 185085754944 187337406464 188845870096 191056263168 191941704032 198133371904 200509567856 201381459968 204489906672 206977618432 207842200224 210370694144 214546787328 218063947776 221530732228 225162383576 228317464128 232425686272 235682543616 236235943424 246781006592 252253972464 256389283488 264132796118 264659905536 268998592512 272653208896 277122933632 281006109696 283268805144 287912556048 297200057856 300764351784 302072189952 304423285504 310466427648 315556041216 325828047766 332296098342 336338629952 337743575364 341852377984 348638529408 354353915136 365888873311 370171509888 377691740192 383883408064 396199194177 396266743808 401019135712 408979813344 413955236864 415684400448 420741388288 429093574656 443061464456 450324767152 456634928256 464851372544 472471886848 488742071649 493562013184 504507944928 512778566976 528265592236 529319811072 545306417792 554245867264 562012219392 566537610288 575825112096 594400115712 601528703568 604144379904 608846571008 620932855296 631112082432 651656095532 664592196684 672677259904 675487150728 683704755968 697277058816 708707830272 719974879741 731777746622 740343019776 755383480384 767766816128 792398388354 802038271424 817959626688 827910473728 831368800896 886122928912 900649534304 913269856512 929702745088 944943773696 977484143298 987124026368 1009015889856 1025557133952 1056531184472 1090612835584 1097666619933 1108491734528 1133075220576 1151650224192 1188800231424 1203057407136 1217693142016 1241865710592 1262224164864 1303312191064 1329184393368 1345354519808 1350974301456 1367409511936 1394554117632 1417415660544 1439949759482 1463555493244 1480686039552 1510766960768 1535533632256 1584796776708 1604076542848 1635919253376 1662737601792 1716863174767 1772245857824 1801299068608 1826539713024 1859405490176 1954968286596 1974248052736 2018031779712 2051114267904 2113062368944 2159924639223 2181225671168 2195333239866 2216983469056 2266150441152 2303300448384 2406114814272 2435386284032 2483731421184 2606624382128 2658368786736 2690709039616 2701948602912 2734819023872 2789108235264 2834831321088 2879899518964 2927110986488 2961372079104 3021533921536 3071067264512 3169593553416 3208153085696 3271838506752 3325475203584 3433726349534 3544491715648 3602598137216 3653079426048 3909936573192 4036063559424 4102228535808 4226124737888 4319849278446 4362451342336 4390666479732 4433966938112 4532300882304 4606600896768 4812229628544 5150589524301 5213248764256 5316737573472 5381418079232 5403897205824 5469638047744 5578216470528 5759799037928 5854221972976 5922744158208 6043067843072 6142134529024 6339187106832 6416306171392 6543677013504 6650950407168 6867452699068 7088983431296 7205196274432 7306158852096 7819873146384 8072127118848 8204457071616 8452249475776 8639698556892 8724902684672 8781332959464 9064601764608 9213201793536 9624459257088 10301179048602 10426497528512 10633475146944 10762836158464 10807794411648 11519598075856 11708443945952 12086135686144 12284269058048 12678374213664 12832612342784 13087354027008 13301900814336 13734905398136 14177966862592 14410392548864 15639746292768 16144254237696 16408914143232 16904498951552 17279397113784 17562665918928 18129203529216 18426403587072 19248918514176 20602358097204 20852995057024 21266950293888 21615588823296 22319221271971 23039196151712 23416887891904 24172271372288 25356748427328 25665224685568 26174708054016 27469810796272 28355933725184 28820785097728 31279492585536 32288508475392 33808997903104 34558794227568 35125331837856 36258407058432 36852807174144 38497837028352 41204716194408 41705990114048 42533900587776 43231177646592 44638442543942 46078392303424 46833775783808 50713496854656 54939621592544 56711867450368 57641570195456 62558985171072 66957663815913 67617995806208 69117588455136 70250663675712 72516814116864 76995674056704 82409432388816 83411980228096 85067801175552 86462355293184 89276885087884 92156784606848 93667551567616 101426993709312 109879243185088 113423734900736 125117970342144 133915327631826 135235991612416 138235176910272 140501327351424 164818864777632 166823960456192 170135602351104 172924710586368 178553770175768 184313569213696 187335103135232 202853987418624 219758486370176 250235940684288 267830655263652 270471983224832 276470353820544 281002654702848 329637729555264 333647920912384 340271204702208 357107540351536 368627138427392 374670206270464 405707974837248 439516972740352 500471881368576 535661310527304 552940707641088 562005309405696 659275459110528 714215080703072 737254276854784 749340412540928 811415949674496 879033945480704 1000943762737152 1071322621054608 1105881415282176 1124010618811392 1318550918221056 1428430161406144 1474508553709568 1758067890961408 2142645242109216 2211762830564352 2248021237622784 2637101836442112 2856860322812288 3516135781922816 4285290484218432 4423525661128704 5274203672884224 5713720645624576 8570580968436864 10548407345768448 11427441291249152 17141161936873728 22854882582498304 34282323873747456 45709765164996608 68564647747494912 137129295494989824
- Sum of all divisors σ(n): 418509815322493440
- Sum of proper divisors (its aliquot sum) s(n): 281380519827503616
- 137129295494989824 is an abundant number, because the sum of its proper divisors (281380519827503616) is greater than itself. Its abundance is 144251224332513792
Bases of 137129295494989824
- Binary: 1111001110010111001011110001000100100011101001000000000002
- Hexadecimal: 0x1E72E5E22474800
- Base-36: 11I8A0OC88AO
Squares and roots of 137129295494989824
- 137129295494989824 squared (1371292954949898242) is 18804443682952236439603085863550976
- 137129295494989824 cubed (1371292954949898243) is 2578640114418451970678520559938729636897905625268224
-
The
square root of 137129295494989824 is 370309729.1389868735 -
The
cube root of 137129295494989824 is 515675.7967548501
Scales and comparisons
How big is 137129295494989824?- 137,129,295,494,989,824 seconds is equal to 4,360,287,427 years, 50 weeks, 6 days, 14 hours, 30 minutes, 24 seconds.
-
To count from 1 to 137,129,295,494,989,824 would take you about thirteen billion, eighty million, eight hundred sixty-two thousand, two hundred eighty-three 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 137129295494989824 cubic inches would be around 42973 feet tall.
Recreational maths with 137129295494989824
- 137129295494989824 backwards is 428989494592921731
- 137129295494989824 is a
Harshad number . - The number of decimal digits it has is: 18
- The sum of 137129295494989824's digits is 96
- More coming soon!
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Cite this page
MLA style:
"Number 137129295494989824 - Facts about the integer". Numbermatics.com. 2024. Web. 25 June 2024.
APA style:
Numbermatics. (2024). Number 137129295494989824 - Facts about the integer. Retrieved 25 June 2024, from https://numbermatics.com/n/137129295494989824/
Chicago style:
Numbermatics. 2024. "Number 137129295494989824 - Facts about the integer". https://numbermatics.com/n/137129295494989824/
The information we have on file for 137129295494989824 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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