137824425346816
137,824,425,346,816 is an even composite number composed of seven prime numbers multiplied together.
137824425346816 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of eight hundred sixty-four divisors.
Prime factorization of 137824425346816:
28 × 132 × 17 × 31 × 43 × 257 × 547
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 13 × 13 × 17 × 31 × 43 × 257 × 547)See below for interesting mathematical facts about the number 137824425346816 from the Numbermatics database.
Names of 137824425346816
- Cardinal: 137824425346816 can be written as One hundred thirty-seven trillion, eight hundred twenty-four billion, four hundred twenty-five million, three hundred forty-six thousand, eight hundred sixteen.
Scientific notation
- Scientific notation: 1.37824425346816 × 1014
Factors of 137824425346816
Divisors of 137824425346816
- Number of divisors d(n): 864
-
Complete list of divisors:
1 2 4 8 13 16 17 26 31 32 34 43 52 62 64 68 86 104 124 128 136 169 172 208 221 248 256 257 272 338 344 403 416 442 496 514 527 544 547 559 676 688 731 806 832 884 992 1028 1054 1088 1094 1118 1333 1352 1376 1462 1612 1664 1768 1984 2056 2108 2176 2188 2236 2666 2704 2752 2873 2924 3224 3328 3341 3536 3968 4112 4216 4352 4369 4376 4472 5239 5332 5408 5504 5746 5848 6448 6682 6851 7072 7111 7267 7936 7967 8224 8432 8738 8752 8944 9299 9503 10478 10664 10816 11008 11051 11492 11696 12896 13364 13702 14144 14222 14534 15934 16448 16864 16957 17329 17476 17504 17888 18598 19006 20956 21328 21632 22102 22661 22984 23392 23521 25792 26728 27404 28288 28444 29068 31868 32896 33728 33914 34658 34952 35008 35776 37196 38012 41912 42656 43264 43433 44204 45322 45968 46784 47042 51584 53456 54808 56576 56797 56888 58136 63736 65792 67456 67828 69316 69904 70016 71552 74392 76024 83824 85312 86866 88408 89063 90644 91936 92443 93568 94084 103168 103571 106912 109616 113594 113776 116272 120887 123539 127472 134912 135439 135656 138632 139808 140032 140579 143104 143663 148784 152048 167648 170624 173732 176816 178126 181288 183872 184886 187136 187867 188168 207142 213824 219232 220441 225277 227188 227552 232544 241774 247078 254944 270878 271312 277264 279616 281158 287326 288269 294593 297568 304096 305773 335296 341248 342581 347464 353632 356252 362576 367744 369772 375734 376336 399857 414284 427648 438464 440882 450554 454376 455104 465088 483548 494156 509888 541756 542624 554528 559232 562316 574652 576538 589186 595136 608192 611546 670592 685162 694928 707264 712504 725152 729151 735488 738361 739544 751468 752672 799714 828568 855296 876928 881764 901108 908752 910208 930176 967096 988312 1019776 1083512 1085248 1109056 1118464 1124632 1149304 1153076 1178372 1190272 1216384 1223092 1341184 1346423 1370324 1389856 1414528 1425008 1450304 1458302 1476722 1479088 1502936 1505344 1571531 1599428 1657136 1753856 1760707 1763528 1802216 1817504 1820416 1827527 1860352 1867619 1934192 1976624 2039552 2167024 2170496 2218112 2249264 2298608 2306152 2356744 2380544 2389843 2432768 2442271 2446184 2692846 2740648 2779712 2829056 2850016 2865733 2900608 2916604 2953444 2958176 3005872 3010688 3143062 3198856 3314272 3521414 3527056 3604432 3635008 3655054 3735238 3747497 3829709 3868384 3953248 3975049 4334048 4340992 4357949 4436224 4453553 4498528 4597216 4612304 4713488 4779686 4884542 4892368 5198141 5385692 5481296 5559424 5700032 5731466 5801216 5823877 5833208 5906888 5916352 6011744 6021376 6044897 6286124 6397712 6628544 7042828 7054112 7208864 7270016 7310108 7470476 7494994 7659418 7736768 7906496 7950098 8668096 8715898 8907106 8997056 9194432 9224608 9426976 9478963 9559372 9769084 9784736 10396282 10771384 10962592 11118848 11400064 11462932 11647754 11666416 11813776 11832704 12023488 12089794 12395567 12572248 12795424 13257088 14085656 14108224 14417728 14540032 14620216 14940952 14989988 15318836 15473536 15812992 15900196 17336192 17431796 17814212 17994112 18388864 18449216 18853952 18957926 19118744 19538168 19569472 20792564 21542768 21925184 22800128 22889191 22925864 23295508 23332832 23627552 23665408 23757851 24046976 24179588 24791134 25144496 25590848 26514176 28171312 28216448 28835456 29240432 29881904 29979976 30637672 30947072 31067959 31625984 31749523 31800392 34672384 34863592 35628424 35988224 36777728 36898432 37707904 37915852 38237488 39076336 39138944 41585128 43085536 43850368 45778382 45851728 46591016 46665664 47255104 47515702 48093952 48359176 48717461 49582268 50288992 51181696 56342624 56432896 56653337 57670912 57896189 58480864 59763808 59959952 61275344 62135918 63499046 63600784 67575833 69727184 71256848 73796864 74085133 75415808 75710401 75831704 76474976 78152672 78277888 78583661 83170256 86171072 87700736 91556764 91703456 93182032 93331328 94510208 95031404 96718352 97434922 99164536 100577984 102363392 102763249 112685248 113306674 115792378 116961728 119527616 119919904 122550688 123226519 124271836 126998092 127201568 135151666 139454368 142513696 148170266 151420802 151663408 152949952 156305344 157167322 161142371 166340512 172342144 183113528 183406912 186364064 186662656 187391807 189020416 190062808 193436704 194869844 198329072 201155968 205526498 225370496 226613348 231584756 233923456 239055232 239839808 245101376 246453038 248543672 253996184 254403136 270303332 278908736 285027392 296340532 302841604 303326816 305899904 312610688 314334644 322284742 332681024 344684288 366227056 366813824 372728128 374783614 380125616 386873408 389739688 396658144 402311936 403883467 411052996 450740992 453226696 463169512 467846912 478110464 479679616 490202752 492906076 497087344 507992368 508806272 540606664 557817472 570054784 592681064 605683208 606653632 611799808 625221376 628669288 644569484 665362048 732454112 733627648 736493381 745456256 749567228 760251232 773746816 779479376 793316288 807766934 822105992 906453392 926339024 959359232 963106729 980405504 984235213 985812152 994174688 1015984736 1017612544 1021587593 1081213328 1115634944 1140109568 1185362128 1211366416 1213307264 1257338576 1289138968 1330724096 1335922237 1464908224 1472986762 1490912512 1499134456 1520502464 1547493632 1558958752 1586632576 1615533868 1644211984 1812906784 1852678048 1926213458 1968470426 1971624304 1988349376 2031969472 2043175186 2094850823 2162426656 2370724256 2422732832 2426614528 2436093491 2514677152 2578277936 2671844474 2929816448 2945973524 2998268912 3041004928 3117917504 3173265152 3185660719 3231067736 3288423968 3625813568 3705356096 3852426916 3936940852 3943248608 3976698752 4063938944 4086350372 4189701646 4324853312 4741448512 4845465664 4872186982 5029354304 5156555872 5343688948 5859632896 5891947048 5996537824 6082009856 6235835008 6371321438 6462135472 6576847936 7251627136 7410712192 7704853832 7873881704 7886497216 7953397504 8127877888 8172700744 8379403292 8649706624 9482897024 9690931328 9744373964 10058708608 10313111744 10687377896 11783894096 11993075648 12471670016 12520387477 12742642876 12924270944 13153695872 14503254272 14821424384 15409707664 15747763408 15772994432 16345401488 16758806584 17299413248 17366989081 18965794048 19381862656 19488747928 20117417216 20626223488 21374755792 23567788192 23986151296 25040774954 25485285752 25848541888 26307391744 30819415328 31495526816 31545988864 31669215383 32690802976 33517613168 34733978162 38977495856 41252446976 41413589347 42749511584 47135576384 47972302592 50081549908 50970571504 51697083776 61638830656 62991053632 63338430766 65381605952 67035226336 69467956324 77954991712 82827178694 85499023168 94271152768 100163099816 101941143008 103394167552 123277661312 125982107264 126676861532 130763211904 134070452672 138935912648 155909983424 165654357388 170998046336 188542305536 200326199632 203882286016 246555322624 251964214528 253353723064 261526423808 268140905344 277871825296 311819966848 331308714776 341996092672 400652399264 407764572032 506707446128 536281810688 538376661511 555743650592 623639933696 662617429552 801304798528 815529144064 1013414892256 1076753323022 1111487301184 1325234859104 1602609597056 2026829784512 2153506646044 2222974602368 2650469718208 3205219194112 4053659569024 4307013292088 4445949204736 5300939436416 8107319138048 8614026584176 10601878872832 17228053168352 34456106336704 68912212673408 137824425346816
- Sum of all divisors σ(n): 335079157045248
- Sum of proper divisors (its aliquot sum) s(n): 197254731698432
- 137824425346816 is an abundant number, because the sum of its proper divisors (197254731698432) is greater than itself. Its abundance is 59430306351616
Bases of 137824425346816
- Binary: 111110101011001101111111110101000000111000000002
- Hexadecimal: 0x7D59BFEA0700
- Base-36: 1CURO0BW1S
Squares and roots of 137824425346816
- 137824425346816 squared (1378244253468162) is 18995572222180056681881337856
- 137824425346816 cubed (1378244253468163) is 2618053825655906934455301846417290869866496
-
The
square root of 137824425346816 is 11739864.7925270417 -
The
cube root of 137824425346816 is 51654.5675651611
Scales and comparisons
How big is 137824425346816?- 137,824,425,346,816 seconds is equal to 4,382,390 years, 21 weeks, 1 day, 4 hours, 20 minutes, 16 seconds.
-
To count from 1 to 137,824,425,346,816 would take you about ten million, nine hundred fifty-five thousand, nine hundred seventy-six 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 137824425346816 cubic inches would be around 4304.5 feet tall.
Recreational maths with 137824425346816
- 137824425346816 backwards is 618643524428731
- 137824425346816 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 137824425346816's digits is 64
- More coming soon!
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The information we have on file for 137824425346816 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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