137257571136199680
137,257,571,136,199,680 is an even composite number composed of seven prime numbers multiplied together.
137257571136199680 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of one thousand and fifty-six divisors.
Prime factorization of 137257571136199680:
210 × 32 × 5 × 61 × 809 × 7369 × 8191
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 61 × 809 × 7369 × 8191)See below for interesting mathematical facts about the number 137257571136199680 from the Numbermatics database.
Names of 137257571136199680
- Cardinal: 137257571136199680 can be written as One hundred thirty-seven quadrillion, two hundred fifty-seven trillion, five hundred seventy-one billion, one hundred thirty-six million, one hundred ninety-nine thousand, six hundred eighty.
Scientific notation
- Scientific notation: 1.3725757113619968 × 1017
Factors of 137257571136199680
Divisors of 137257571136199680
- Number of divisors d(n): 1056
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 61 64 72 80 90 96 120 122 128 144 160 180 183 192 240 244 256 288 305 320 360 366 384 480 488 512 549 576 610 640 720 732 768 809 915 960 976 1024 1098 1152 1220 1280 1440 1464 1536 1618 1830 1920 1952 2196 2304 2427 2440 2560 2745 2880 2928 3072 3236 3660 3840 3904 4045 4392 4608 4854 4880 5120 5490 5760 5856 6472 7281 7320 7369 7680 7808 8090 8191 8784 9216 9708 9760 10980 11520 11712 12135 12944 14562 14640 14738 15360 15616 16180 16382 17568 19416 19520 21960 22107 23040 23424 24270 24573 25888 29124 29280 29476 31232 32360 32764 35136 36405 36845 38832 39040 40955 43920 44214 46080 46848 48540 49146 49349 51776 58248 58560 58952 62464 64720 65528 66321 70272 72810 73690 73719 77664 78080 81910 87840 88428 93696 97080 98292 98698 103552 110535 116496 117120 117904 122865 129440 131056 132642 140544 145620 147380 147438 148047 155328 156160 163820 175680 176856 187392 194160 196584 197396 207104 221070 232992 234240 235808 245730 246745 258880 262112 265284 281088 291240 294760 294876 296094 310656 312320 327640 331605 351360 353712 368595 388320 393168 394792 414208 442140 444141 449509 465984 468480 471616 491460 493490 499651 517760 524224 530568 562176 582480 589520 589752 592188 621312 655280 663210 702720 707424 737190 740235 776640 786336 789584 828416 884280 888282 899018 931968 936960 943232 982920 986980 999302 1035520 1048448 1061136 1164960 1179040 1179504 1184376 1242624 1310560 1326420 1348527 1405440 1414848 1474380 1480470 1498953 1553280 1572672 1579168 1768560 1776564 1798036 1863936 1886464 1965840 1973960 1998604 2071040 2096896 2122272 2220705 2247545 2329920 2358080 2359008 2368752 2485248 2498255 2621120 2652840 2697054 2810880 2829696 2948760 2960940 2997906 3106560 3145344 3158336 3537120 3553128 3596072 3727872 3772928 3931680 3947920 3997208 4045581 4142080 4193792 4244544 4441410 4495090 4496859 4659840 4716160 4718016 4737504 4996510 5242240 5305680 5394108 5659392 5897520 5921880 5961521 5995812 6213120 6290688 6316672 6626519 6742635 7074240 7106256 7192144 7455744 7494765 7545856 7863360 7895840 7994416 8091162 8387584 8489088 8882820 8990180 8993718 9319680 9432320 9436032 9475008 9993020 10484480 10611360 10788216 11318784 11795040 11843760 11923042 11991624 12426240 12581376 12633344 13253038 13485270 14148480 14212512 14384288 14989530 15726720 15791680 15988832 16182324 16978176 17765640 17884563 17980360 17987436 18639360 18864640 18872064 18950016 19879557 19986040 20227905 20968960 21222720 21576432 22484295 22637568 23590080 23687520 23846084 23983248 25162752 25266688 26506076 26970540 28296960 28425024 28768576 29807605 29979060 31453440 31583360 31977664 32364648 33132595 33956352 35531280 35769126 35960720 35974872 37278720 37729280 37744128 37900032 39759114 39972080 40455810 41937920 42445440 43152864 44968590 47180160 47375040 47692168 47966496 50533376 53012152 53653689 53941080 56593920 56850048 57537152 59615210 59638671 59958120 60359479 62906880 63166720 63955328 64729296 66265190 67912704 71062560 71538252 71921440 71949744 75488256 75800064 79518228 79944160 80911620 84890880 86305728 89422815 89937180 94360320 94750080 95384336 95932992 99397785 106024304 107307378 107882160 113187840 113700096 115074304 119230420 119277342 119916240 120718958 125813760 126333440 127910656 129458592 132530380 142125120 143076504 143842880 143899488 151600128 159036456 159888320 161823240 169781760 172611456 178845630 179874360 181078437 188720640 189500160 190768672 191865984 198795570 212048608 214614756 215764320 227400192 230148608 238460840 238554684 239832480 241437916 252666880 255821312 258917184 265060760 268268445 284250240 286153008 287685760 287798976 298193355 301797395 318072912 319776640 323646480 339563520 345222912 357691260 359748720 362156874 363652781 377441280 379000320 381537344 383731968 397591140 404217659 424097216 429229512 431528640 454800384 460297216 476921680 477109368 479664960 482875832 511642624 517834368 530121520 536536890 543235311 568500480 572306016 575371520 575597952 596386710 603594790 636145824 639553280 647292960 690445824 715382520 719497440 724313748 727305562 758000640 763074688 767463936 795182280 808435318 848194432 858459024 863057280 905392185 953843360 954218736 959329920 965751664 1035668736 1060243040 1073073780 1086470622 1090958343 1137000960 1144612032 1150743040 1151195904 1192773420 1207189580 1212652977 1272291648 1279106560 1294585920 1380891648 1430765040 1438994880 1448627496 1454611124 1526149376 1534927872 1590364560 1616870636 1696388864 1716918048 1726114560 1810784370 1818263905 1907686720 1908437472 1918659840 1931503328 2021088295 2071337472 2120486080 2146147560 2172941244 2181916686 2274001920 2289224064 2301486080 2302391808 2385546840 2414379160 2425305954 2544583296 2558213120 2589171840 2716176555 2861530080 2877989760 2897254992 2909222248 3052298752 3180729120 3233741272 3272875029 3392777728 3433836096 3452229120 3621568740 3636527810 3637958931 3681928219 3815373440 3816874944 3837319680 3863006656 4042176590 4142674944 4240972160 4292295120 4345882488 4363833372 4578448128 4604783616 4771093680 4828758320 4850611908 5089166592 5178343680 5432353110 5454791715 5723060160 5755979520 5794509984 5818444496 6063264885 6104597504 6361458240 6467482544 6545750058 6785555456 6867672192 6904458240 7243137480 7273055620 7275917862 7363856438 7630746880 7633749888 7674639360 7726013312 8084353180 8481944320 8584590240 8691764976 8727666744 9156896256 9542187360 9657516640 9701223816 10178333184 10356687360 10864706220 10909583430 11045784657 11446120320 11511959040 11589019968 11636888992 12126529770 12722916480 12934965088 13091500116 13735344384 14486274960 14546111240 14551835724 14727712876 15261493760 15267499776 15452026624 16168706360 16364375145 16963888640 17169180480 17383529952 17455333488 18189794655 18313792512 18409641095 19084374720 19315033280 19402447632 20356666368 20713374720 21729412440 21819166860 22091569314 22892240640 23023918080 23178039936 23273777984 24253059540 25445832960 25869930176 26183000232 27470688768 28972549920 29092222480 29103671448 29455425752 30522987520 30534999552 30904053248 32337412720 32728750290 33137353971 33927777280 34338360960 34767059904 34910666976 36379589310 36819282190 38168749440 38630066560 38804895264 43458824880 43638333720 44183138628 45784481280 46356079872 46547555968 48506119080 48830818511 50891665920 51739860352 52366000464 54941377536 55228923285 57945099840 58184444960 58207342896 58910851504 61069999104 61808106496 64674825440 65457500580 66274707942 68676721920 69534119808 69821333952 72759178620 73638564380 76337498880 77260133120 77609790528 86917649760 87276667440 88366277256 91568962560 92712159744 93095111936 97012238160 97661637022 101783331840 103479720704 104732000928 110457846570 115890199680 116368889920 116414685792 117821703008 129349650880 130915001160 132549415884 137353443840 139068239616 139642667904 145518357240 146492455533 147277128760 152674997760 154520266240 155219581056 165686769855 173835299520 174553334880 176732554512 185424319488 186190223872 194024476320 195323274044 206959441408 209464001856 220915693140 231780399360 232737779840 232829371584 235643406016 244154092555 258699301760 261830002320 265098831768 274706887680 278136479232 279285335808 291036714480 292984911066 294554257520 305349995520 309040532480 310439162112 331373539710 347670599040 349106669760 353465109024 372380447744 388048952640 390646548088 413918882816 418928003712 439477366599 441831386280 463560798720 465475559680 465658743168 471286812032 488308185110 517398603520 523660004640 530197663536 556272958464 558570671616 582073428960 585969822132 589108515040 620878324224 662747079420 695341198080 698213339520 706930218048 732462277665 776097905280 781293096176 837856007424 878954733198 883662772560 927121597440 930951119360 931317486336 942573624064 976616370220 1034797207040 1047320009280 1060395327072 1117141343232 1164146857920 1171939644264 1178217030080 1241756648448 1325494158840 1390682396160 1396426679040 1413860436096 1464924555330 1552195810560 1562586192352 1675712014848 1757909466396 1767325545120 1861902238720 1862634972672 1885147248128 1953232740440 2069594414080 2094640018560 2120790654144 2197386832995 2328293715840 2343879288528 2356434060160 2650988317680 2781364792320 2792853358080 2827720872192 2929849110660 2978679929171 3104391621120 3125172384704 3351424029696 3515818932792 3534651090240 3725269945344 3770294496256 3906465480880 4189280037120 4241581308288 4394773665990 4656587431680 4687758577056 4712868120320 5301976635360 5585706716160 5655441744384 5859698221320 5957359858342 6208783242240 6250344769408 7031637865584 7069302180480 7812930961760 8378560074240 8483162616576 8789547331980 8936039787513 9313174863360 9375517154112 9425736240640 10603953270720 11310883488768 11719396442640 11914719716684 12500689538816 14063275731168 14138604360960 14893399645855 15625861923520 16757120148480 16966325233152 17579094663960 17872079575026 18626349726720 18751034308224 18851472481280 21207906541440 23438792885280 23829439433368 25001379077632 26808119362539 28126551462336 28277208721920 29786799291710 31251723847040 33932650466304 35158189327920 35744159150052 37502068616448 42415813082880 44680198937565 46877585770560 47658878866736 50002758155264 53616238725078 56253102924672 56554417443840 59573598583420 62503447694080 70316378655840 71488318300104 75004137232896 84831626165760 89360397875130 93755171541120 95317757733472 107232477450156 112506205849344 119147197166840 125006895388160 134040596812695 140632757311680 142976636600208 150008274465792 169663252331520 178720795750260 187510343082240 190635515466944 214464954900312 225012411698688 238294394333680 250013790776320 268081193625390 281265514623360 285953273200416 357441591500520 375020686164480 381271030933888 428929909800624 450024823397376 476588788667360 536162387250780 562531029246720 571906546400832 714883183001040 750041372328960 762542061867776 857859819601248 953177577334720 1072324774501560 1125062058493440 1143813092801664 1429766366002080 1525084123735552 1715719639202496 1906355154669440 2144649549003120 2250124116986880 2287626185603328 2859532732004160 3050168247471104 3431439278404992 3812710309338880 4289299098006240 4575252371206656 5719065464008320 6862878556809984 7625420618677760 8578598196012480 9150504742413312 11438130928016640 13725757113619968 15250841237355520 17157196392024960 22876261856033280 27451514227239936 34314392784049920 45752523712066560 68628785568099840 137257571136199680
- Sum of all divisors σ(n): 484112821882060800
- Sum of proper divisors (its aliquot sum) s(n): 346855250745861120
- 137257571136199680 is an abundant number, because the sum of its proper divisors (346855250745861120) is greater than itself. Its abundance is 209597679609661440
Bases of 137257571136199680
- Binary: 1111001111010001100001000101000100100111001011100000000002
- Hexadecimal: 0x1E7A308A24E5C00
- Base-36: 11JHQXOX0XS0
Squares and roots of 137257571136199680
- 137257571136199680 squared (1372575711361996802) is 18839640834208915514104912832102400
- 137257571136199680 cubed (1372575711361996803) is 2585883341981882502944443920669230861430640607232000
-
The
square root of 137257571136199680 is 370482889.1274193245 -
The
cube root of 137257571136199680 is 515836.5404967913
Scales and comparisons
How big is 137257571136199680?- 137,257,571,136,199,680 seconds is equal to 4,364,366,196 years, 30 weeks, 3 days, 20 hours, 48 minutes.
-
To count from 1 to 137,257,571,136,199,680 would take you about thirteen billion, ninety-three million, ninety-eight thousand, five hundred eighty-nine 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 137257571136199680 cubic inches would be around 42986.4 feet tall.
Recreational maths with 137257571136199680
- 137257571136199680 backwards is 086991631175752731
- The number of decimal digits it has is: 18
- The sum of 137257571136199680's digits is 81
- More coming soon!
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"Number 137257571136199680 - Facts about the integer". Numbermatics.com. 2024. Web. 6 June 2024.
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Numbermatics. (2024). Number 137257571136199680 - Facts about the integer. Retrieved 6 June 2024, from https://numbermatics.com/n/137257571136199680/
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The information we have on file for 137257571136199680 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!
Keywords: Divisors of 137257571136199680, math, Factors of 137257571136199680, curriculum, school, college, exams, university, Prime factorization of 137257571136199680, STEM, science, technology, engineering, physics, economics, calculator, one hundred thirty-seven quadrillion, two hundred fifty-seven trillion, five hundred seventy-one billion, one hundred thirty-six million, one hundred ninety-nine thousand, six hundred eighty.