137949356073984
137,949,356,073,984 is an even composite number composed of seven prime numbers multiplied together.
What does the number 137949356073984 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 1056 divisors.
137949356073984 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 137949356073984:
210 × 3 × 7 × 132 × 17 × 449 × 4973
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 7 × 13 × 13 × 17 × 449 × 4973)See below for interesting mathematical facts about the number 137949356073984 from the Numbermatics database.
Names of 137949356073984
- Cardinal: 137949356073984 can be written as One hundred thirty-seven trillion, nine hundred forty-nine billion, three hundred fifty-six million, seventy-three thousand, nine hundred eighty-four.
Scientific notation
- Scientific notation: 1.37949356073984 × 1014
Factors of 137949356073984
Divisors of 137949356073984
- Number of divisors d(n): 1056
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Complete list of divisors:
1 2 3 4 6 7 8 12 13 14 16 17 21 24 26 28 32 34 39 42 48 51 52 56 64 68 78 84 91 96 102 104 112 119 128 136 156 168 169 182 192 204 208 221 224 238 256 272 273 312 336 338 357 364 384 408 416 442 448 449 476 507 512 544 546 624 663 672 676 714 728 768 816 832 884 896 898 952 1014 1024 1088 1092 1183 1248 1326 1344 1347 1352 1428 1456 1536 1547 1632 1664 1768 1792 1796 1904 2028 2176 2184 2366 2496 2652 2688 2694 2704 2856 2873 2912 3072 3094 3143 3264 3328 3536 3549 3584 3592 3808 4056 4352 4368 4641 4732 4973 4992 5304 5376 5388 5408 5712 5746 5824 5837 6188 6286 6528 6656 7072 7098 7168 7184 7616 7633 8112 8619 8704 8736 9282 9429 9464 9946 9984 10608 10752 10776 10816 11424 11492 11648 11674 12376 12572 13056 13312 14144 14196 14368 14919 15232 15266 16224 17238 17408 17472 17511 18564 18858 18928 19892 19968 20111 21216 21504 21552 21632 22848 22899 22984 23296 23348 24752 25144 26112 28288 28392 28736 29838 30464 30532 32448 34476 34811 34944 35022 37128 37716 37856 39784 39936 40222 40859 42432 43104 43264 45696 45798 45968 46592 46696 49504 50288 52224 53431 56576 56784 57472 59676 60333 60928 61064 64649 64896 68952 69622 69888 70044 74256 75432 75712 75881 79568 80444 81718 84541 84864 86208 86528 91392 91596 91936 93184 93392 99008 99229 100576 104433 106862 113152 113568 114944 119352 120666 121856 122128 122577 129298 129792 137904 139244 139776 140088 148512 150864 151424 151762 159136 160293 160888 163436 169082 169728 172416 173056 182784 183192 183872 186784 193947 198016 198458 201152 208866 213724 226304 227136 227643 229888 238704 241332 244256 245154 253623 258596 259584 275808 278488 279552 280176 297024 297687 301728 302848 303524 318272 320586 321776 326872 338164 339456 344832 365568 366384 367744 373568 387894 396032 396916 402304 417732 427448 452543 454272 455286 459776 477408 482664 488512 490308 507246 517192 519168 531167 551616 556976 560352 591787 594048 595374 603456 605696 607048 636544 641172 643552 653744 676328 678912 689664 694603 732768 735488 747136 775788 792064 793832 804608 835464 840437 854896 905086 908544 910572 954816 965328 977024 980616 1014492 1034384 1062334 1099033 1103232 1113952 1120704 1183574 1188096 1190748 1206912 1211392 1214096 1273088 1282344 1287104 1289977 1307488 1352656 1357629 1379328 1389206 1465536 1470976 1494272 1551576 1584128 1587664 1593501 1609216 1670928 1680874 1709792 1775361 1810172 1817088 1821144 1909632 1930656 1954048 1961232 2028984 2068768 2083809 2124668 2198066 2206464 2227904 2232877 2241408 2367148 2376192 2381496 2413824 2428192 2521311 2546176 2564688 2574208 2579954 2614976 2705312 2715258 2778412 2931072 2941952 2988544 3103152 3175328 3187002 3218432 3297099 3341856 3361748 3419584 3550722 3620344 3634176 3642288 3819264 3861312 3869931 3908096 3922464 4057968 4137536 4167618 4249336 4396132 4412928 4455808 4465754 4482816 4734296 4752384 4762992 4827648 4856384 5042622 5092352 5129376 5148416 5159908 5229952 5410624 5430516 5556824 5862144 5883059 5977088 6206304 6350656 6374004 6594198 6683712 6698631 6723496 6839168 7101444 7240688 7284576 7638528 7693231 7722624 7739862 7816192 7844928 8115936 8275072 8335236 8498672 8792264 8825856 8911616 8931508 8965632 9029839 9468592 9525984 9655296 9712768 10085244 10258752 10296832 10319816 10459904 10821248 10861032 11113648 11724288 11766118 12412608 12701312 12748008 13188396 13367424 13397262 13446992 13678336 14202888 14287429 14481376 14569152 15277056 15386462 15445248 15479724 15630139 15689856 16231872 16550144 16670472 16997344 17584528 17649177 17823232 17863016 17931264 18059678 18937184 19051968 19425536 20170488 20517504 20593664 20639632 20919808 21642496 21722064 22227296 23079693 23448576 23532236 24825216 25402624 25496016 26376792 26734848 26794524 26893984 27089517 27356672 28405776 28574858 28962752 29027401 29138304 30772924 30890496 30959448 31260278 31379712 32463744 33100288 33340944 33994688 35169056 35298354 35646464 35726032 36119356 37874368 37958909 38103936 38851072 40340976 41035008 41279264 41839616 42862287 43284992 43444128 44454592 46159386 46890417 47064472 49650432 50805248 50992032 52753584 53469696 53589048 53787968 54179034 54713344 56811552 57149716 57925504 58054802 58276608 61545848 61780992 61918896 62520556 62759424 64927488 66200576 66681888 67989376 70338112 70596708 71452064 72238712 75748736 75917818 76207872 77702144 80681952 82070016 82558528 85724574 86569984 86888256 87082203 88909184 92318772 93780834 94128944 99300864 100012003 101610496 101984064 105507168 106939392 107178096 107575936 108358068 113623104 113876727 114299432 115851008 116109604 116553216 123091696 123837792 125041112 125518848 129854976 133363776 135978752 140676224 141193416 142904128 144477424 151497472 151835636 152415744 161363904 164140032 165117056 171449148 173776512 174164406 177818368 184637544 187561668 188257888 198601728 200024006 203191807 203968128 211014336 214356192 215151872 216716136 227246208 227753454 228598864 231702016 232219208 233106432 246183392 247675584 250082224 259709952 265712363 266727552 271957504 281352448 282386832 285808256 288954848 300036009 302994944 303671272 304831488 322727808 330234112 342898296 347553024 348328812 355636736 369275088 375123336 376515776 377356213 400048012 406383614 407936256 422028672 428712384 430303744 433432272 454492416 455506908 457197728 463404032 464438416 492366784 493465817 495351168 500164448 531424726 533455104 543915008 562704896 564773664 571616512 577909696 600072018 605989888 607342544 609575421 645455616 660468224 685796592 695106048 696657624 711273472 738550176 750246672 753031552 754712426 797137089 800096024 812767228 815872512 844057344 857424768 860607488 866864544 908984832 911013816 914395456 928876832 984733568 986931634 990702336 1000328896 1062849452 1066910208 1125409792 1129547328 1132068639 1143233024 1155819392 1200144036 1214685088 1219150842 1290911232 1320936448 1371593184 1390212096 1393315248 1477100352 1480397451 1500493344 1506063104 1509424852 1594274178 1600192048 1625534456 1631745024 1688114688 1714849536 1733729088 1817969664 1822027632 1828790912 1857753664 1969467136 1973863268 1981404672 2000657792 2125698904 2133820416 2259094656 2264137278 2286466048 2311638784 2400288072 2429370176 2438301684 2581822464 2641493491 2743186368 2786630496 2954200704 2960794902 3000986688 3012126208 3018849704 3188548356 3200384096 3251068912 3376229376 3429699072 3454260719 3467458176 3644055264 3657581824 3715507328 3938934272 3947726536 3962809344 4001315584 4251397808 4518189312 4528274556 4623277568 4800576144 4858740352 4876603368 5282986982 5486372736 5573260992 5908401408 5921589804 6001973376 6024252416 6037699408 6377096712 6400768192 6415055621 6502137824 6859398144 6908521438 6934916352 7288110528 7315163648 7431014656 7877868544 7895453072 7924480473 8002631168 8502795616 9036378624 9056549112 9246555136 9601152288 9717480704 9753206736 10362782157 10565973964 10972745472 11146521984 11816802816 11843179608 12003946752 12075398816 12754193424 12801536384 12830111242 13004275648 13817042876 13869832704 14576221056 14630327296 14862029312 15790906144 15848960946 16005262336 17005591232 18072757248 18113098224 19202304576 19245166863 19434961408 19506413472 20725564314 21131947928 21945490944 22293043968 23633605632 23686359216 24007893504 24150797632 25508386848 25603072768 25660222484 26008551296 27634085752 27739665408 29152442112 29724058624 31581812288 31697921892 34011182464 36226196448 38404609152 38490333726 38869922816 39012826944 41451128628 42263895856 43890981888 44586087936 44905389347 47372718432 48015787008 48301595264 51016773696 51206145536 51320444968 52017102592 55268171504 58304884224 63163624576 63395843784 68022364928 72452392896 76809218304 76980667452 78025653888 82902257256 84527791712 89172175872 89810778694 94745436864 96603190528 102033547392 102412291072 102640889936 104034205184 110536343008 116609768448 126327249152 126791687568 134716168041 136044729856 144904785792 153618436608 153961334904 156051307776 165804514512 169055583424 179621557388 189490873728 193206381056 204067094784 205281779872 208068410368 221072686016 252654498304 253583375136 269432336082 272089459712 289809571584 307236873216 307922669808 312102615552 331609029024 338111166848 359243114776 378981747456 386412762112 408134189568 410563559744 442145372032 505308996608 507166750272 538864672164 579619143168 615845339616 624205231104 663218058048 676222333696 718486229552 757963494912 816268379136 821127119488 884290744064 1014333500544 1077729344328 1159238286336 1231690679232 1326436116096 1352444667392 1436972459104 1515926989824 1642254238976 1768581488128 2028667001088 2155458688656 2463381358464 2652872232192 2704889334784 2873944918208 3284508477952 3537162976256 4057334002176 4310917377312 4926762716928 5305744464384 5747889836416 6569016955904 8114668004352 8621834754624 9853525433856 10611488928768 11495779672832 17243669509248 19707050867712 22991559345664 34487339018496 45983118691328 68974678036992 137949356073984
- Sum of all divisors σ(n): 482958384940800
- Sum of proper divisors (its aliquot sum) s(n): 345009028866816
- 137949356073984 is an abundant number, because the sum of its proper divisors (345009028866816) is greater than itself. Its abundance is 207059672792832
Bases of 137949356073984
- Binary: 111110101110110110101100101110110100100000000002
- Hexadecimal: 0x7D76D65DA400
- Base-36: 1CWD24UY2O
Squares and roots of 137949356073984
- 137949356073984 squared (1379493560739842) is 19030024841226826314081632256
- 137949356073984 cubed (1379493560739843) is 2625179672919160297804740419165042616827904
-
The
square root of 137949356073984 is 11745184.3780327263 -
The
cube root of 137949356073984 is 51670.1702514745
Scales and comparisons
How big is 137949356073984?- 137,949,356,073,984 seconds is equal to 4,386,362 years, 42 weeks, 3 days, 16 hours, 6 minutes, 24 seconds.
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To count from 1 to 137,949,356,073,984 would take you about ten million, nine hundred sixty-five thousand, nine hundred seven 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 137949356073984 cubic inches would be around 4305.8 feet tall.
Recreational maths with 137949356073984
- 137949356073984 backwards is 489370653949731
- 137949356073984 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 137949356073984's digits is 78
- More coming soon!
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The information we have on file for 137949356073984 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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