137985312741558048
137,985,312,741,558,048 is an even composite number composed of four prime numbers multiplied together.
What does the number 137985312741558048 look like?
This visualization shows the relationship between its 4 prime factors (large circles) and 1638 divisors.
137985312741558048 is an even composite number. It is composed of four distinct prime numbers multiplied together. It has a total of one thousand, six hundred thirty-eight divisors.
Prime factorization of 137985312741558048:
25 × 312 × 136 × 412
(2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 13 × 13 × 13 × 13 × 13 × 13 × 41 × 41)See below for interesting mathematical facts about the number 137985312741558048 from the Numbermatics database.
Names of 137985312741558048
- Cardinal: 137985312741558048 can be written as One hundred thirty-seven quadrillion, nine hundred eighty-five trillion, three hundred twelve billion, seven hundred forty-one million, five hundred fifty-eight thousand and forty-eight.
Scientific notation
- Scientific notation: 1.37985312741558048 × 1017
Factors of 137985312741558048
Divisors of 137985312741558048
- Number of divisors d(n): 1638
-
Complete list of divisors:
1 2 3 4 6 8 9 12 13 16 18 24 26 27 32 36 39 41 48 52 54 72 78 81 82 96 104 108 117 123 144 156 162 164 169 208 216 234 243 246 288 312 324 328 338 351 369 416 432 468 486 492 507 533 624 648 656 676 702 729 738 864 936 972 984 1014 1053 1066 1107 1248 1296 1312 1352 1404 1458 1476 1521 1599 1681 1872 1944 1968 2028 2106 2132 2187 2197 2214 2592 2704 2808 2916 2952 3042 3159 3198 3321 3362 3744 3888 3936 4056 4212 4264 4374 4394 4428 4563 4797 5043 5408 5616 5832 5904 6084 6318 6396 6561 6591 6642 6724 6929 7776 8112 8424 8528 8748 8788 8856 9126 9477 9594 9963 10086 11232 11664 11808 12168 12636 12792 13122 13182 13284 13448 13689 13858 14391 15129 16224 16848 17056 17496 17576 17712 18252 18954 19188 19683 19773 19926 20172 20787 21853 23328 24336 25272 25584 26244 26364 26568 26896 27378 27716 28431 28561 28782 29889 30258 33696 34992 35152 35424 36504 37908 38376 39366 39546 39852 40344 41067 41574 43173 43706 45387 48672 50544 51168 52488 52728 53136 53792 54756 55432 56862 57122 57564 59049 59319 59778 60516 62361 65559 69984 70304 73008 75816 76752 78732 79092 79704 80688 82134 83148 85293 85683 86346 87412 89667 90077 90774 101088 104976 105456 106272 109512 110864 113724 114244 115128 118098 118638 119556 121032 123201 124722 129519 131118 136161 146016 151632 153504 157464 158184 159408 161376 164268 166296 170586 171366 172692 174824 177147 177957 179334 180154 181548 187083 196677 209952 210912 219024 221728 227448 228488 230256 236196 237276 239112 242064 246402 249444 255879 257049 259038 262236 269001 270231 272322 284089 303264 314928 316368 318816 328536 332592 341172 342732 345384 349648 354294 355914 358668 360308 363096 369603 371293 374166 388557 393354 408483 438048 454896 456976 460512 472392 474552 478224 484128 492804 498888 511758 514098 518076 524472 531441 533871 538002 540462 544644 561249 568178 590031 629856 632736 657072 665184 682344 685464 690768 699296 708588 711828 717336 720616 726192 739206 742586 748332 767637 771147 777114 786708 807003 810693 816966 852267 909792 913952 944784 949104 956448 985608 997776 1023516 1028196 1036152 1048944 1062882 1067742 1076004 1080924 1089288 1108809 1113879 1122498 1136356 1165671 1171001 1180062 1225449 1314144 1364688 1370928 1381536 1417176 1423656 1434672 1441232 1452384 1478412 1485172 1496664 1535274 1542294 1554228 1573416 1601613 1614006 1621386 1633932 1683747 1704534 1770093 1889568 1898208 1971216 1995552 2047032 2056392 2072304 2097888 2125764 2135484 2152008 2161848 2178576 2217618 2227758 2244996 2272712 2302911 2313441 2331342 2342002 2360124 2421009 2432079 2450898 2556801 2729376 2741856 2834352 2847312 2869344 2882464 2956824 2970344 2993328 3070548 3084588 3108456 3146832 3203226 3228012 3242772 3267864 3326427 3341637 3367494 3409068 3497013 3513003 3540186 3676347 3693157 3942432 4094064 4112784 4144608 4251528 4270968 4304016 4323696 4357152 4435236 4455516 4489992 4545424 4605822 4626882 4662684 4684004 4720248 4804839 4826809 4842018 4864158 4901796 5051241 5113602 5310279 5668704 5694624 5913648 5940688 5986656 6141096 6169176 6216912 6293664 6406452 6456024 6485544 6535728 6652854 6683274 6734988 6818136 6908733 6940323 6994026 7026006 7080372 7263027 7296237 7352694 7386314 7670403 8188128 8225568 8503056 8541936 8608032 8647392 8870472 8911032 8979984 9090848 9211644 9253764 9325368 9368008 9440496 9609678 9653618 9684036 9728316 9803592 9979281 10024911 10102482 10227204 10491039 10539009 10620558 11029041 11079471 11827296 11881376 12282192 12338352 12433824 12812904 12912048 12971088 13071456 13305708 13366548 13469976 13636272 13817466 13880646 13988052 14052012 14160744 14414517 14480427 14526054 14592474 14705388 14772628 15153723 15223013 15340806 15930837 17006112 17083872 17740944 17822064 17959968 18423288 18507528 18650736 18736016 18880992 19219356 19307236 19368072 19456632 19607184 19958562 20049822 20204964 20454408 20820969 20982078 21078018 21241116 21789081 21888711 22058082 22158942 23011209 24564384 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350791685712 355122447264 368781002928 371634565536 373333854816 380024326188 382964887656 384715984536 387692849232 389465564592 394640646426 399512753172 402604112664 404445009384 414878628294 420000586668 432805482603 436154455386 438148760166 455000635557 485711564832 506699101584 510619850208 512954646048 526187528568 532683670896 536805483552 539260012512 553171504392 560000782224 570036489282 577073976804 581539273848 584198346888 599269129758 603906168996 606667514076 622317942441 630000880002 654231683079 657223140249 701583371424 737562005856 760048652376 765929775312 769431969072 775385698464 778931129184 789281292852 799025506344 805208225328 808890018768 829757256588 840001173336 855054733923 865610965206 872308910772 876297520332 898903694637 910001271114 945001320003 1013398203168 1052375057136 1065367341792 1106343008784 1120001564448 1140072978564 1154147953608 1163078547696 1168396693776 1198538259516 1207812337992 1213335028152 1244635884882 1260001760004 1298416447809 1308463366158 1314446280498 1365001906671 1520097304752 1531859550624 1538863938144 1578562585704 1598051012688 1610416450656 1617780037536 1659514513176 1680002346672 1710109467846 1731221930412 1744617821544 1752595040664 1797807389274 1820002542228 1890002640006 1962695049237 1971669420747 2104750114272 2212686017568 2280145957128 2308295907216 2326157095392 2336793387552 2397076519032 2415624675984 2426670056304 2489271769764 2520003520008 2565164201769 2596832895618 2616926732316 2628892560996 2696711083911 2730003813342 2835003960009 3040194609504 3157125171408 3196102025376 3319029026352 3360004693344 3420218935692 3462443860824 3489235643088 3505190081328 3595614778548 3640005084456 3780005280012 3895249343427 3925390098474 3943338841494 4095005720013 4560291914256 4616591814432 4794153038064 4831249351968 4853340112608 4978543539528 5040007040016 5130328403538 5193665791236 5233853464632 5257785121992 5393422167822 5460007626684 5670007920018 5915008262241 6314250342816 6638058052704 6840437871384 6924887721648 6978471286176 7010380162656 7191229557096 7280010168912 7560010560024 7790498686854 7850780196948 7886677682988 8090133251733 8190011440026 8505011880027 9120583828512 9588306076128 9957087079056 10080014080032 10260656807076 10387331582472 10467706929264 10515570243984 10786844335644 10920015253368 11340015840036 11685748030281 11830016524482 12285017160039 13680875742768 13849775443296 14382459114192 14560020337824 15120021120048 15580997373708 15701560393896 15773355365976 16180266503466 16380022880052 17010023760054 17745024786723 19914174158112 20521313614152 20774663164944 20935413858528 21031140487968 21573688671288 21840030506736 22680031680072 23371496060562 23660033048964 24570034320078 25515035640081 27361751485536 28764918228384 30240042240096 31161994747416 31403120787792 31546710731952 32360533006932 32760045760104 34020047520108 35057244090843 35490049573446 36855051480117 41042627228304 41549326329888 43147377342576 43680061013472 45360063360144 46742992121124 47320066097928 49140068640156 51030071280162 53235074360169 62323989494832 62806241575584 63093421463904 64721066013864 65520091520208 68040095040216 70114488181686 70980099146892 73710102960234 82085254456608 86294754685152 90720126720288 93485984242248 94640132195856 98280137280312 102060142560324 105171732272529 106470148720338 110565154440351 124647978989664 129442132027728 131040183040416 136080190080432 140228976363372 141960198293784 147420205920468 159705223080507 186971968484496 189280264391712 196560274560624 204120285120648 210343464545058 212940297440676 221130308880702 258884264055456 272160380160864 280457952726744 283920396587568 294840411840936 319410446161014 331695463321053 373943936968992 393120549121248 408240570241296 420686929090116 425880594881352 442260617761404 479115669241521 560915905453488 567840793175136 589680823681872 638820892322028 663390926642106 816481140482592 841373858180232 851761189762704 884521235522808 958231338483042 1121831810906976 1179361647363744 1277641784644056 1326781853284212 1437347007724563 1682747716360464 1703522379525408 1769042471045616 1916462676966084 2555283569288112 2653563706568424 2874694015449126 3365495432720928 3538084942091232 3832925353932168 4312041023173689 5110567138576224 5307127413136848 5749388030898252 7665850707864336 8624082046347378 10614254826273696 11498776061796504 15331701415728672 17248164092694756 22997552123593008 34496328185389512 45995104247186016 68992656370779024 137985312741558048
- Sum of all divisors σ(n): 452474473509344727
- Sum of proper divisors (its aliquot sum) s(n): 314489160767786679
- 137985312741558048 is an abundant number, because the sum of its proper divisors (314489160767786679) is greater than itself. Its abundance is 176503848026228631
Bases of 137985312741558048
- Binary: 1111010100011100011101001001011100010111010000111001000002
- Hexadecimal: 0x1EA38E92E2E8720
- Base-36: 11QNPLKJ4I00
Squares and roots of 137985312741558048
- 137985312741558048 squared (1379853127415580482) is 19039946532385581788690290553570304
- 137985312741558048 cubed (1379853127415580483) is 2627232976853768191994168627970571450833282065006592
-
The
square root of 137985312741558048 is 371463743.5087818207 -
The
cube root of 137985312741558048 is 516746.5915907391
Scales and comparisons
How big is 137985312741558048?- 137,985,312,741,558,048 seconds is equal to 4,387,506,128 years, 30 weeks, 3 days, 1 hour, 40 minutes, 48 seconds.
-
To count from 1 to 137,985,312,741,558,048 would take you about thirteen billion, one hundred sixty-two million, five hundred eighteen thousand, three hundred eighty-five 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 137985312741558048 cubic inches would be around 43062.2 feet tall.
Recreational maths with 137985312741558048
- 137985312741558048 backwards is 840855147213589731
- 137985312741558048 is a
Harshad number . - The number of decimal digits it has is: 18
- The sum of 137985312741558048's digits is 81
- More coming soon!
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Cite this page
MLA style:
"Number 137985312741558048 - Facts about the integer". Numbermatics.com. 2024. Web. 24 May 2024.
APA style:
Numbermatics. (2024). Number 137985312741558048 - Facts about the integer. Retrieved 24 May 2024, from https://numbermatics.com/n/137985312741558048/
Chicago style:
Numbermatics. 2024. "Number 137985312741558048 - Facts about the integer". https://numbermatics.com/n/137985312741558048/
The information we have on file for 137985312741558048 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 137985312741558048, math, Factors of 137985312741558048, curriculum, school, college, exams, university, Prime factorization of 137985312741558048, STEM, science, technology, engineering, physics, economics, calculator, one hundred thirty-seven quadrillion, nine hundred eighty-five trillion, three hundred twelve billion, seven hundred forty-one million, five hundred fifty-eight thousand and forty-eight.