138094464375648
138,094,464,375,648 is an even composite number composed of six prime numbers multiplied together.
138094464375648 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one thousand and eighty divisors.
Prime factorization of 138094464375648:
25 × 32 × 114 × 532 × 89 × 131
(2 × 2 × 2 × 2 × 2 × 3 × 3 × 11 × 11 × 11 × 11 × 53 × 53 × 89 × 131)See below for interesting mathematical facts about the number 138094464375648 from the Numbermatics database.
Names of 138094464375648
- Cardinal: 138094464375648 can be written as One hundred thirty-eight trillion, ninety-four billion, four hundred sixty-four million, three hundred seventy-five thousand, six hundred forty-eight.
Scientific notation
- Scientific notation: 1.38094464375648 × 1014
Factors of 138094464375648
Divisors of 138094464375648
- Number of divisors d(n): 1080
-
Complete list of divisors:
1 2 3 4 6 8 9 11 12 16 18 22 24 32 33 36 44 48 53 66 72 88 89 96 99 106 121 131 132 144 159 176 178 198 212 242 262 264 267 288 318 352 356 363 393 396 424 477 484 524 528 534 583 636 712 726 786 792 801 848 954 968 979 1048 1056 1068 1089 1166 1179 1272 1331 1424 1441 1452 1572 1584 1602 1696 1749 1908 1936 1958 2096 2136 2178 2332 2358 2544 2662 2809 2848 2882 2904 2937 3144 3168 3204 3498 3816 3872 3916 3993 4192 4272 4323 4356 4664 4716 4717 5088 5247 5324 5618 5764 5808 5874 6288 6408 6413 6943 6996 7632 7832 7986 8427 8544 8646 8712 8811 9328 9432 9434 10494 10648 10769 11236 11528 11616 11659 11748 11979 12576 12816 12826 12969 13886 13992 14151 14641 15264 15664 15851 15972 16854 17292 17424 17622 18656 18864 18868 19239 20829 20988 21296 21538 22472 23056 23318 23496 23958 25281 25632 25652 25938 27772 27984 28302 29282 30899 31328 31702 31944 32307 33708 34584 34848 34977 35244 37728 37736 38478 41658 41976 42453 42592 43076 43923 44944 46112 46636 46992 47553 47916 50562 51304 51876 51887 55544 55968 56604 57717 58564 61798 62487 63404 63888 64614 67416 69168 69954 70488 70543 75472 76373 76956 83316 83952 84906 86152 87846 89888 92697 93272 93984 95106 95832 96921 101124 102608 103752 103774 104931 111088 113208 115434 117128 118459 123596 124974 126808 127776 128249 129228 131769 134832 138336 139908 140976 141086 142659 150944 152746 153912 155661 166632 167904 169812 172304 174361 175692 185394 186544 190212 191664 193842 202248 205216 207504 207548 209862 211629 222176 226416 229119 230868 234256 236918 247192 249948 250001 253616 256498 258456 263538 269664 278091 279816 281952 282172 285318 305492 307824 311322 333264 339624 339889 344608 348722 351384 355377 367979 370788 373088 380424 383328 384747 387684 404496 415008 415096 419724 423258 452832 458238 461736 466983 468512 473836 494384 499896 500002 507232 512996 516912 523083 527076 556182 559632 564344 570636 570757 610984 615648 617927 622644 634887 666528 679248 679778 687357 697444 702768 710754 735958 741576 750003 760848 769494 775368 775973 808992 830192 839448 840103 846516 916476 923472 933966 947672 988768 999792 1000004 1019667 1025992 1033824 1046166 1054152 1066131 1103937 1112364 1119264 1128688 1141272 1141514 1154241 1221968 1235854 1245288 1269774 1303049 1358496 1359556 1374714 1394888 1405536 1410739 1421508 1471916 1483152 1500006 1521696 1538988 1550736 1551946 1569249 1660384 1678896 1680206 1693032 1712271 1832952 1846944 1853781 1867932 1895344 1917971 1999584 2000008 2039334 2051984 2092332 2108304 2132262 2207874 2224728 2250009 2257376 2282544 2283028 2308482 2327919 2443936 2471708 2490576 2520309 2539548 2606098 2719112 2749428 2750011 2789776 2821478 2843016 2943832 2966304 3000012 3059001 3077976 3101472 3103892 3138498 3311811 3357792 3360412 3386064 3424542 3665904 3707562 3735864 3738779 3790688 3835942 3909147 4000016 4047769 4078668 4103968 4184664 4216608 4232217 4264524 4415748 4449456 4500018 4565088 4566056 4616964 4655838 4943416 4981152 5040618 5079096 5136813 5212196 5438224 5498856 5500022 5561343 5579552 5642956 5686032 5753913 5887664 6000024 6118002 6155952 6207784 6276996 6278327 6623622 6720824 6772128 6797197 6849084 6983757 7331808 7415124 7471728 7477558 7560927 7671884 7818294 8000032 8095538 8157336 8250033 8369328 8464434 8529048 8831496 8898912 9000036 9132112 9233928 9241133 9311676 9886832 10081236 10158192 10273626 10424392 10876448 10997712 11000044 11122686 11216337 11285912 11372064 11507826 11727441 11775328 12000048 12143307 12236004 12311904 12415568 12553992 12556654 12696651 13247244 13441648 13594394 13698168 13967514 14830248 14943456 14955116 15121854 15343768 15518129 15636588 16191076 16314672 16500066 16738656 16928868 17058096 17261739 17662992 18000072 18264224 18467856 18482266 18623352 18834981 19773664 20162472 20316384 20391591 20547252 20848784 21995424 22000088 22245372 22432674 22571824 23015652 23454882 24000096 24286614 24472008 24750099 24831136 25107984 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131000524 132000528 133576377 134596044 135430944 138093912 138123194 139663161 145719684 147858128 149538334 150679848 163132728 164378016 164506276 166340394 170699419 177962976 178101836 179461392 181500726 184125216 186217548 187639056 194292912 196500786 198000792 200906464 203146416 203304926 207184791 217510304 221787192 223480224 224307501 226019772 241949664 242000968 244699092 246759414 248290064 262001048 264001056 267152754 269192088 272251089 276187824 276246388 279326322 291439368 294751179 295716256 299076668 301359696 304957389 326265456 329012552 332680788 332751331 341398838 356203672 358922784 360251441 363001452 370139121 372435096 375278112 388585824 393001572 396001584 400729131 406292832 406609852 414369582 443574384 448615002 452039544 484001936 489398184 489780049 493518828 496580128 512098257 524002096 534305508 538384176 544502178 552375648 552492776 558652644 582878736 589502358 598153336 602719392 609914778 621554373 652530912 658025104 665361576 665502662 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4096786056 4274444064 4323017292 4356017424 4408020441 4469221152 4716018864 4879318224 4934765022 4972434984 5324021296 5383380024 5387580539 5462381408 5764023056 5877360588 5922225936 5989523958 6145179084 6411666096 6484525938 6579686696 6629913312 7177840032 7318977336 7320529282 7402147533 7836480784 7925531702 7986031944 8193572112 8646034584 8712034848 8816040882 9047069207 9432037728 9758636448 9869530044 9944869968 10648042592 10766760048 10775161078 10980793923 11528046112 11754721176 11844451872 11888297553 11979047916 12290358168 12823332192 12969051876 13159373392 14637954672 14641058564 14804295066 15672961568 15851063404 15972063888 16162741617 16387144224 17292069168 17632081764 18094138414 19739060088 19889739936 21533520096 21550322156 21961587846 23509442352 23776595106 23958095832 24580716336 25938103752 26318746784 27141207621 29275909344 29282117128 29608590132 31702126808 31944127776 32325483234 32942381769 34584138336 35264163528 35664892659 36188276828 39478120176 43100644312 43590424361 43923175692 47018884704 47553190212 47916191664 48488224851 49161432672 51876207504 54282415242 58564234256 59217180264 63404253616 64650966468 65884763538 70528327056 71329785318 72376553656 78956240352 81423622863 86201288624 87180848722 87846351384 95106380424 95832383328 96976449702 103752415008 108564830484 117128468512 118434360528 126808507232 129301932936 130771273083 131769527076 141056654112 142659570636 144753107312 162847245726 172402577248 174361697444 175692702768 190212760848 193952899404 217129660968 236868721056 258603865872 261542546166 263539054152 285319141272 289506214624 325694491452 348723394888 351385405536 380425521696 387905798808 392313819249 434259321936 479494667971 517207731744 523085092332 527078108304 570638282544 651388982904 697446789776 775811597616 784627638498 868518643872 958989335942 1046170184664 1054156216608 1141276565088 1302777965808 1394893579552 1438484003913 1551623195232 1569255276996 1917978671884 2092340369328 2605555931616 2876968007826 3138510553992 3835957343768 4184680738656 4315452011739 5753936015652 6277021107984 7671914687536 8630904023478 11507872031304 12554042215968 15343829375072 17261808046956 23015744062608 34523616093912 46031488125216 69047232187824 138094464375648
- Sum of all divisors σ(n): 448623913537800
- Sum of proper divisors (its aliquot sum) s(n): 310529449162152
- 138094464375648 is an abundant number, because the sum of its proper divisors (310529449162152) is greater than itself. Its abundance is 172434984786504
Bases of 138094464375648
- Binary: 111110110011000100111110111111010011011011000002
- Hexadecimal: 0x7D989F7E9B60
- Base-36: 1CY7PYLG80
Squares and roots of 138094464375648
- 138094464375648 squared (1380944643756482) is 19070081091197114566455419904
- 138094464375648 cubed (1380944643756483) is 2633472633889038476147267284197657032097792
-
The
square root of 138094464375648 is 11751360.1074789637 -
The
cube root of 138094464375648 is 51688.2811085881
Scales and comparisons
How big is 138094464375648?- 138,094,464,375,648 seconds is equal to 4,390,976 years, 42 weeks, 1 day, 21 hours, 40 minutes, 48 seconds.
-
To count from 1 to 138,094,464,375,648 would take you about ten million, nine hundred seventy-seven thousand, four hundred forty-two 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 138094464375648 cubic inches would be around 4307.4 feet tall.
Recreational maths with 138094464375648
- 138094464375648 backwards is 846573464490831
- 138094464375648 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 138094464375648's digits is 72
- More coming soon!
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The information we have on file for 138094464375648 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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