137345490814500864
137,345,490,814,500,864 is an even composite number composed of four prime numbers multiplied together.
What does the number 137345490814500864 look like?
This visualization shows the relationship between its 4 prime factors (large circles) and 1728 divisors.
137345490814500864 is an even composite number. It is composed of four distinct prime numbers multiplied together. It has a total of one thousand, seven hundred twenty-eight divisors.
Prime factorization of 137345490814500864:
223 × 32 × 77 × 472
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 7 × 7 × 7 × 7 × 7 × 7 × 7 × 47 × 47)See below for interesting mathematical facts about the number 137345490814500864 from the Numbermatics database.
Names of 137345490814500864
- Cardinal: 137345490814500864 can be written as One hundred thirty-seven quadrillion, three hundred forty-five trillion, four hundred ninety billion, eight hundred fourteen million, five hundred thousand, eight hundred sixty-four.
Scientific notation
- Scientific notation: 1.37345490814500864 × 1017
Factors of 137345490814500864
Divisors of 137345490814500864
- Number of divisors d(n): 1728
-
Complete list of divisors:
1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 47 48 49 56 63 64 72 84 94 96 98 112 126 128 141 144 147 168 188 192 196 224 252 256 282 288 294 329 336 343 376 384 392 423 441 448 504 512 564 576 588 658 672 686 752 768 784 846 882 896 987 1008 1024 1029 1128 1152 1176 1316 1344 1372 1504 1536 1568 1692 1764 1792 1974 2016 2048 2058 2209 2256 2303 2304 2352 2401 2632 2688 2744 2961 3008 3072 3087 3136 3384 3528 3584 3948 4032 4096 4116 4418 4512 4606 4608 4704 4802 5264 5376 5488 5922 6016 6144 6174 6272 6627 6768 6909 7056 7168 7203 7896 8064 8192 8232 8836 9024 9212 9216 9408 9604 10528 10752 10976 11844 12032 12288 12348 12544 13254 13536 13818 14112 14336 14406 15463 15792 16121 16128 16384 16464 16807 17672 18048 18424 18432 18816 19208 19881 20727 21056 21504 21609 21952 23688 24064 24576 24696 25088 26508 27072 27636 28224 28672 28812 30926 31584 32242 32256 32768 32928 33614 35344 36096 36848 36864 37632 38416 39762 41454 42112 43008 43218 43904 46389 47376 48128 48363 49152 49392 50176 50421 53016 54144 55272 56448 57344 57624 61852 63168 64484 64512 65536 65856 67228 70688 72192 73696 73728 75264 76832 79524 82908 84224 86016 86436 87808 92778 94752 96256 96726 98304 98784 100352 100842 106032 108241 108288 110544 112847 112896 114688 115248 117649 123704 126336 128968 129024 131072 131712 134456 139167 141376 144384 145089 147392 147456 150528 151263 153664 159048 165816 168448 172032 172872 175616 185556 189504 192512 193452 196608 197568 200704 201684 212064 216482 216576 221088 225694 225792 229376 230496 235298 247408 252672 257936 258048 262144 263424 268912 278334 282752 288768 290178 294784 294912 301056 302526 307328 318096 324723 331632 336896 338541 344064 345744 351232 352947 371112 379008 385024 386904 393216 395136 401408 403368 424128 432964 433152 442176 451388 451584 458752 460992 470596 494816 505344 515872 516096 524288 526848 537824 556668 565504 577536 580356 589568 589824 602112 605052 614656 636192 649446 663264 673792 677082 688128 691488 702464 705894 742224 757687 758016 770048 773808 786432 789929 790272 802816 806736 823543 848256 865928 866304 884352 902776 903168 917504 921984 941192 974169 989632 1010688 1015623 1031744 1032192 1048576 1053696 1058841 1075648 1113336 1131008 1155072 1160712 1179136 1179648 1204224 1210104 1229312 1272384 1298892 1326528 1347584 1354164 1376256 1382976 1404928 1411788 1484448 1515374 1516032 1540096 1547616 1572864 1579858 1580544 1605632 1613472 1647086 1696512 1731856 1732608 1768704 1805552 1806336 1835008 1843968 1882384 1948338 1979264 2021376 2031246 2063488 2064384 2097152 2107392 2117682 2151296 2226672 2262016 2273061 2310144 2321424 2358272 2359296 2369787 2408448 2420208 2458624 2470629 2544768 2597784 2653056 2695168 2708328 2752512 2765952 2809856 2823576 2968896 3030748 3032064 3080192 3095232 3145728 3159716 3161088 3211264 3226944 3294172 3393024 3463712 3465216 3537408 3611104 3612672 3670016 3687936 3764768 3896676 3958528 4042752 4062492 4126976 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46261469184 48642392064 48879903744 49655775232 49898235072 50712281088 50959899648 51768786944 52870250496 53971714048 55591305216 55862747136 56749457408 57026554368 57956892672 58214607584 58239885312 59164327936 59453216256 60423143424 60718178304 61681958912 63843139584 64856522752 65173204992 65491433532 66530980096 66559868928 67616374784 67946532864 69392203776 70493667328 72963588096 74483662848 74847352608 76035405824 76068421632 77653180416 79270955008 79305375744 80957571072 83386957824 85124186112 85539831552 86897606656 86935339008 87321911376 88746491904 89179824384 90595377152 90634715136 92522938368 97284784128 97759807488 99311550464 99796470144 101424562176 101919799296 103537573888 105740500992 107943428096 111725494272 113498914816 114053108736 116429215168 116479770624 118328655872 118906432512 121436356608 123363917824 127686279168 129713045504 130346409984 130982867064 133061960192 133119737856 135232749568 135893065728 138784407552 140987334656 145927176192 148967325696 149694705216 152070811648 152136843264 155306360832 158541910016 158610751488 161915142144 166773915648 170248372224 171079663104 173795213312 173870678016 174643822752 177492983808 178359648768 181190754304 181269430272 185045876736 194569568256 195519614976 198623100928 199592940288 202849124352 203839598592 207075147776 211481001984 215886856192 223450988544 226997829632 228106217472 232858430336 232959541248 236657311744 237812865024 242872713216 246727835648 255372558336 260692819968 261965734128 266123920384 266239475712 271786131456 277568815104 291854352384 297934651392 299389410432 304141623296 304273686528 310612721664 317083820032 317221502976 323830284288 340496744448 342159326208 347590426624 349287645504 354985967616 356719297536 362381508608 370091753472 389139136512 391039229952 397246201856 399185880576 405698248704 407679197184 414150295552 422962003968 431773712384 446901977088 453995659264 456212434944 465716860672 465919082496 473314623488 475625730048 485745426432 493455671296 510745116672 521385639936 523931468256 532247840768 532478951424 543572262912 555137630208 583708704768 595869302784 598778820864 608283246592 608547373056 621225443328 634167640064 634443005952 647660568576 680993488896 684318652416 695180853248 698575291008 709971935232 713438595072 724763017216 740183506944 782078459904 794492403712 798371761152 815358394368 828300591104 863547424768 893803954176 907991318528 912424869888 931433721344 931838164992 946629246976 951251460096 971490852864 986911342592 1021490233344 1042771279872 1047862936512 1064495681536 1064957902848 1087144525824 1110275260416 1167417409536 1191738605568 1197557641728 1216566493184 1217094746112 1242450886656 1268335280128 1268886011904 1295321137152 1361986977792 1368637304832 1390361706496 1397150582016 1419943870464 1426877190144 1449526034432 1480367013888 1564156919808 1588984807424 1596743522304 1630716788736 1656601182208 1727094849536 1787607908352 1824849739776 1862867442688 1863676329984 1902502920192 1942981705728 2042980466688 2085542559744 2095725873024 2128991363072 2129915805696 2174289051648 2220550520832 2383477211136 2395115283456 2433132986368 2484901773312 2536670560256 2590642274304 2723973955584 2737274609664 2780723412992 2794301164032 2839887740928 2853754380288 2899052068864 2960734027776 3128313839616 3177969614848 3193487044608 3261433577472 3313202364416 3454189699072 3575215816704 3649699479552 3725734885376 3727352659968 3805005840384 3885963411456 4085960933376 4171085119488 4191451746048 4257982726144 4259831611392 4348578103296 4441101041664 4766954422272 4790230566912 4866265972736 4969803546624 5073341120512 5181284548608 5474549219328 5561446825984 5588602328064 5707508760576 5798104137728 6256627679232 6355939229696 6386974089216 6522867154944 6626404728832 6908379398144 7150431633408 7299398959104 7451469770752 7454705319936 7610011680768 7771926822912 8171921866752 8342170238976 8382903492096 8515965452288 8519663222784 8697156206592 8882202083328 9533908844544 9580461133824 9732531945472 9939607093248 10146682241024 10362569097216 10949098438656 11122893651968 11177204656128 11415017521152 11596208275456 12513255358464 12773948178432 13045734309888 14300863266816 14598797918208 14902939541504 14909410639872 15220023361536 15543853645824 16684340477952 16765806984192 17031930904576 17394312413184 19067817689088 19160922267648 19465063890944 19879214186496 20293364482048 20725138194432 21898196877312 22245787303936 22354409312256 22830035042304 23192416550912 25026510716928 25547896356864 26091468619776 28601726533632 29197595836416 29805879083008 29818821279744 30440046723072 31087707291648 33368680955904 33531613968384 34063861809152 34788624826368 38321844535296 38930127781888 40586728964096 43796393754624 44491574607872 44708818624512 45660070084608 46384833101824 50053021433856 51095792713728 52182937239552 57203453067264 58395191672832 59611758166016 59637642559488 60880093446144 62175414583296 66737361911808 67063227936768 68127723618304 69577249652736 76643689070592 77860255563776 81173457928192 87592787509248 89417637249024 91320140169216 100106042867712 102191585427456 104365874479104 116790383345664 119223516332032 121760186892288 133474723823616 134126455873536 136255447236608 139154499305472 153287378141184 155720511127552 162346915856384 175185575018496 178835274498048 182640280338432 200212085735424 204383170854912 208731748958208 233580766691328 238447032664064 243520373784576 268252911747072 272510894473216 306574756282368 311441022255104 324693831712768 350371150036992 357670548996096 365280560676864 400424171470848 408766341709824 417463497916416 467161533382656 476894065328128 487040747569152 536505823494144 545021788946432 613149512564736 700742300073984 715341097992192 730561121353728 817532683419648 934323066765312 953788130656256 974081495138304 1073011646988288 1090043577892864 1226299025129472 1401484600147968 1430682195984384 1461122242707456 1635065366839296 1907576261312512 2146023293976576 2180087155785728 2452598050258944 2802969200295936 2861364391968768 2922244485414912 3270130733678592 3815152522625024 4292046587953152 4905196100517888 5722728783937536 6540261467357184 7630305045250048 8584093175906304 9810392201035776 11445457567875072 15260610090500096 17168186351812608 19620784402071552 22890915135750144 34336372703625216 45781830271500288 68672745407250432 137345490814500864
- Sum of all divisors σ(n): 472963662914652000
- Sum of proper divisors (its aliquot sum) s(n): 335618172100151136
- 137345490814500864 is an abundant number, because the sum of its proper divisors (335618172100151136) is greater than itself. Its abundance is 198272681285650272
Bases of 137345490814500864
- Binary: 1111001111111001011111111000001111000000000000000000000002
- Hexadecimal: 0x1E7F2FF07800000
- Base-36: 11KCWVFNGU80
Squares and roots of 137345490814500864
- 137345490814500864 squared (1373454908145008642) is 18863783847076141206418377456746496
- 137345490814500864 cubed (1373454908145008643) is 2590855651095325923057484083215572082901183620972544
-
The
square root of 137345490814500864 is 370601525.6505305645 -
The
cube root of 137345490814500864 is 515946.6558621131
Scales and comparisons
How big is 137345490814500864?- 137,345,490,814,500,864 seconds is equal to 4,367,161,770 years, 21 weeks, 2 hours, 14 minutes, 24 seconds.
-
To count from 1 to 137,345,490,814,500,864 would take you about thirteen billion, one hundred one million, four hundred eighty-five thousand, three hundred eleven 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 137345490814500864 cubic inches would be around 42995.6 feet tall.
Recreational maths with 137345490814500864
- 137345490814500864 backwards is 468005418094543731
- 137345490814500864 is a
Harshad number . - The number of decimal digits it has is: 18
- The sum of 137345490814500864's digits is 72
- More coming soon!
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"Number 137345490814500864 - Facts about the integer". Numbermatics.com. 2024. Web. 24 May 2024.
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Numbermatics. (2024). Number 137345490814500864 - Facts about the integer. Retrieved 24 May 2024, from https://numbermatics.com/n/137345490814500864/
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The information we have on file for 137345490814500864 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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