137874959930801193472
137,874,959,930,801,193,472 is an even composite number composed of four prime numbers multiplied together.
What does the number 137874959930801193472 look like?
This visualization shows the relationship between its 4 prime factors (large circles) and 640 divisors.
137874959930801193472 is an even composite number. It is composed of four distinct prime numbers multiplied together. It has a total of six hundred forty divisors.
Prime factorization of 137874959930801193472:
29 × 313 × 373 × 5633
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 31 × 31 × 31 × 37 × 37 × 37 × 563 × 563 × 563)See below for interesting mathematical facts about the number 137874959930801193472 from the Numbermatics database.
Names of 137874959930801193472
- Cardinal: 137874959930801193472 can be written as One hundred thirty-seven quintillion, eight hundred seventy-four quadrillion, nine hundred fifty-nine trillion, nine hundred thirty billion, eight hundred one million, one hundred ninety-three thousand, four hundred seventy-two.
Scientific notation
- Scientific notation: 1.37874959930801193472 × 1020
Factors of 137874959930801193472
Divisors of 137874959930801193472
- Number of divisors d(n): 640
-
Complete list of divisors:
1 2 4 8 16 31 32 37 62 64 74 124 128 148 248 256 296 496 512 563 592 961 992 1126 1147 1184 1369 1922 1984 2252 2294 2368 2738 3844 3968 4504 4588 4736 5476 7688 7936 9008 9176 9472 10952 15376 15872 17453 18016 18352 18944 20831 21904 29791 30752 34906 35557 36032 36704 41662 42439 43808 50653 59582 61504 69812 71114 72064 73408 83324 84878 87616 101306 119164 123008 139624 142228 144128 146816 166648 169756 175232 202612 238328 246016 279248 284456 288256 293632 316969 333296 339512 350464 405224 476656 492032 541043 558496 568912 587264 633938 645761 666592 679024 700928 770747 810448 953312 1082086 1102267 1116992 1137824 1267876 1291522 1315609 1333184 1358048 1541494 1570243 1620896 1906624 2164172 2204534 2233984 2275648 2535752 2583044 2631218 2666368 2716096 3082988 3140486 3241792 3813248 4328344 4409068 4467968 4551296 5071504 5166088 5262436 5332736 5432192 6165976 6280972 6483584 7626496 8656688 8818136 8935936 9102592 9826039 10143008 10332176 10524872 10665472 10864384 11727853 12331952 12561944 12967168 15252992 16772333 17313376 17636272 18205184 19652078 20018591 20286016 20664352 21049744 21728768 23455706 23893157 24663904 25123888 25934336 28517639 33544666 34626752 35272544 39304156 40037182 40572032 40783879 41328704 42099488 46911412 47786314 48677533 49327808 50247776 57035278 67089332 69253504 70545088 78608312 80074364 81144064 81567758 82657408 84198976 93822824 95572628 97355066 98655616 100495552 114070556 134178664 138507008 141090176 157216624 160148728 162288128 163135516 165314816 168397952 178453547 187645648 191145256 194710132 197311232 200991104 228141112 268357328 277014016 282180352 304607209 314433248 320297456 326271032 330629632 336795904 356907094 363563443 375291296 382290512 389420264 394622464 401982208 433930561 456282224 536714656 564360704 609214418 620576321 628866496 640594912 652542064 673591808 713814188 727126886 740687867 750582592 764581024 778840528 803964416 867861122 884046809 912564448 1073429312 1218428836 1241152642 1257732992 1281189824 1305084128 1427628376 1454253772 1481375734 1501165184 1509003523 1529162048 1557681056 1735722244 1768093618 1825128896 2146858624 2436857672 2482305284 2515465984 2562379648 2610168256 2855256752 2908507544 2962751468 3002330368 3018007046 3058324096 3115362112 3471444488 3536187236 3650257792 4293717248 4873715344 4964610568 5030931968 5124759296 5220336512 5532059957 5710513504 5817015088 5925502936 6004660736 6036014092 6116648192 6230724224 6602781239 6942888976 7072374472 7300515584 8587434496 9442823479 9747430688 9929221136 10249518592 10440673024 11064119914 11270466733 11421027008 11634030176 11851005872 12072028184 12233296384 12461448448 13205562478 13451847391 13885777952 14144748944 14601031168 16055430757 18885646958 19494861376 19858442272 20881346048 22128239828 22540933466 22842054016 22961323877 23268060352 23702011744 24144056368 24922896896 26411124956 26903694782 27405451079 27771555904 28289497888 32110861514 37771293916 38989722752 39716884544 44256479656 45081866932 45684108032 45922647754 46536120704 47404023488 48288112736 52822249912 53807389564 54810902158 55543111808 56578995776 64221723028 75542587832 77979445504 79433769088 88512959312 90163733864 91368216064 91845295508 93072241408 94808046976 96576225472 105644499824 107614779128 109621804316 111086223616 113157991552 128443446056 151085175664 155958891008 158867538176 171493858667 177025918624 180327467728 183690591016 186144482816 189616093952 193152450944 204686218409 211288999648 215229558256 219243608632 222172447232 226315983104 244302905843 256886892112 302170351328 317735076352 342987717334 349384468723 354051837248 360654935456 367381182032 379232187904 386304901888 409372436818 417007269121 422577999296 430459116512 438487217264 452631966208 488605811686 497718353467 513773784224 604340702656 685975434668 698768937446 708103674496 721309870912 734762364064 772609803776 818744873636 834014538242 845155998592 849568983449 860918233024 876974434528 977211623372 995436706934 1027547568448 1208681405312 1371950869336 1397537874892 1416207348992 1442619741824 1469524728128 1637489747272 1668029076484 1690311997184 1699137966898 1721836466048 1753948869056 1954423246744 1990873413868 2055095136896 2417362810624 2743901738672 2795075749784 2832414697984 2885239483648 2939049456256 3274979494544 3336058152968 3380623994368 3398275933796 3443672932096 3507897738112 3908846493488 3981746827736 4110190273792 4834725621248 5316309618677 5487803477344 5590151499568 5770478967296 5878098912512 6345272770679 6549958989088 6672116305936 6796551867592 6887345864192 7015795476224 7573390081133 7817692986976 7963493655472 8220380547584 9039207516191 10632619237354 10975606954688 11180302999136 11756197825024 12690545541358 12927225342751 13099917978176 13344232611872 13593103735184 14031590952448 15146780162266 15429268957477 15635385973952 15926987310944 18078415032382 21265238474708 21951213909376 22360605998272 25381091082716 25854450685502 26199835956352 26688465223744 27186207470368 30293560324532 30858537914954 31270771947904 31853974621888 36156830064764 42530476949416 43902427818752 44721211996544 50762182165432 51708901371004 52399671912704 53376930447488 54372414940736 60587120649064 61717075829908 62541543895808 63707949243776 72313660129528 85060953898832 87804855637504 89442423993088 101524364330864 103417802742008 104799343825408 106753860894976 108744829881472 121174241298128 123434151659816 125083087791616 127415898487552 144627320259056 170121907797664 178884847986176 196703455891049 203048728661728 206835605484016 213507721789952 217489659762944 234775092515123 242348482596256 246868303319632 254831796975104 280215433001921 289254640518112 340243815595328 393406911782098 406097457323456 413671210968032 434979319525888 469550185030246 478307337681787 484696965192512 493736606639264 560430866003842 578509281036224 680487631190656 786813823564196 812194914646912 827342421936064 939100370060492 956614675363574 969393930385024 987473213278528 1120861732007684 1157018562072448 1360975262381312 1573627647128392 1624389829293824 1654684843872128 1878200740120984 1913229350727148 1938787860770048 1974946426557056 2241723464015368 2314037124144896 2721950524762624 3147255294256784 3248779658587648 3309369687744256 3756401480241968 3826458701454296 3877575721540096 3949892853114112 4483446928030736 4628074248289792 6294510588513568 6618739375488512 7278027867968813 7512802960483936 7652917402908592 7899785706228224 8686678423059551 8966893856061472 12589021177027136 14556055735937626 15025605920967872 15305834805817184 17373356846119102 17933787712122944 25178042354054272 29112111471875252 30051211841935744 30611669611634368 34746713692238204 35867575424245888 50356084708108544 58224222943750504 60102423683871488 61223339223268736 69493427384476408 71735150848491776 100712169416217088 116448445887501008 120204847367742976 122446678446537472 138986854768952816 143470301696983552 232896891775002016 244893356893074944 269287031114846081 277973709537905632 465793783550004032 538574062229692162 555947419075811264 931587567100008064 1077148124459384324 1111894838151622528 1863175134200016128 2154296248918768648 2223789676303245056 3726350268400032256 4308592497837537296 4447579352606490112 8617184995675074592 17234369991350149184 34468739982700298368 68937479965400596736 137874959930801193472
- Sum of all divisors σ(n): 293090749620119193600
- Sum of proper divisors (its aliquot sum) s(n): 155215789689318000128
- 137874959930801193472 is an abundant number, because the sum of its proper divisors (155215789689318000128) is greater than itself. Its abundance is 17340829758516806656
Bases of 137874959930801193472
- Binary: 11101111001011001100100000110010000011100001001111100000010000000002
- Hexadecimal: 0x779664190709F0200
- Base-36: T3IC2A4WPIB5S
Squares and roots of 137874959930801193472
- 137874959930801193472 squared (1378749599308011934722) is 19009504575920034640596997064899575414784
- 137874959930801193472 cubed (1378749599308011934723) is 2620934681709356709928704181749416750018557829763016633090048
-
The
square root of 137874959930801193472 is 11742016859.5859712073 -
137874959930801193472 is a
perfect cube number . Itscube root is 5166088
Scales and comparisons
How big is 137874959930801193472?- 137,874,959,930,801,193,472 seconds is equal to 293,274,701,009 years, 3 weeks, 3 days, 15 hours, 30 minutes, 7 seconds.
-
To count from 1 to 137,874,959,930,801,193,472 would take you about two hundred ninety-three billion, two hundred seventy-four million, seven hundred one thousand and 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 137874959930801193472 cubic inches would be around 430507.3 feet tall.
Recreational maths with 137874959930801193472
- 137874959930801193472 backwards is 274391108039959478731
- The number of decimal digits it has is: 21
- The sum of 137874959930801193472's digits is 100
- More coming soon!
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The information we have on file for 137874959930801193472 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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