138178840937472
138,178,840,937,472 is an even composite number composed of five prime numbers multiplied together.
What does the number 138178840937472 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 924 divisors.
138178840937472 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of nine hundred twenty-four divisors.
Prime factorization of 138178840937472:
210 × 36 × 972 × 103 × 191
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 3 × 97 × 97 × 103 × 191)See below for interesting mathematical facts about the number 138178840937472 from the Numbermatics database.
Names of 138178840937472
- Cardinal: 138178840937472 can be written as One hundred thirty-eight trillion, one hundred seventy-eight billion, eight hundred forty million, nine hundred thirty-seven thousand, four hundred seventy-two.
Scientific notation
- Scientific notation: 1.38178840937472 × 1014
Factors of 138178840937472
Divisors of 138178840937472
- Number of divisors d(n): 924
-
Complete list of divisors:
1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 97 103 108 128 144 162 191 192 194 206 216 243 256 288 291 309 324 382 384 388 412 432 486 512 573 576 582 618 648 729 764 768 776 824 864 873 927 972 1024 1146 1152 1164 1236 1296 1458 1528 1536 1552 1648 1719 1728 1746 1854 1944 2292 2304 2328 2472 2592 2619 2781 2916 3056 3072 3104 3296 3438 3456 3492 3708 3888 4584 4608 4656 4944 5157 5184 5238 5562 5832 6112 6208 6592 6876 6912 6984 7416 7776 7857 8343 9168 9216 9312 9409 9888 9991 10314 10368 10476 11124 11664 12224 12416 13184 13752 13824 13968 14832 15471 15552 15714 16686 18336 18527 18624 18818 19673 19776 19982 20628 20736 20952 22248 23328 23571 24448 24832 25029 26368 27504 27648 27936 28227 29664 29973 30942 31104 31428 33372 36672 37054 37248 37636 39346 39552 39964 41256 41472 41904 44496 46413 46656 47142 48896 49664 50058 52736 55008 55581 55872 56454 59019 59328 59946 61884 62208 62856 66744 70713 73344 74108 74496 75087 75272 78692 79104 79928 82512 82944 83808 84681 88992 89919 92826 93312 94284 97792 99328 100116 105472 110016 111162 111744 112908 118038 118656 119892 123768 124416 125712 133488 139239 141426 146688 148216 148992 150174 150544 157384 158208 159856 165024 166743 167616 169362 177057 177984 179838 185652 186624 188568 195584 200232 220032 222324 223488 225816 236076 237312 239784 247536 248832 251424 254043 266976 269757 278478 282852 293376 296432 297984 300348 301088 314768 316416 319712 330048 333486 335232 338724 354114 355968 359676 371304 373248 377136 400464 440064 444648 446976 451632 472152 474624 479568 495072 500229 502848 508086 531171 533952 539514 556956 565704 586752 592864 600696 602176 629536 639424 660096 666972 670464 677448 708228 711936 719352 742608 746496 754272 762129 800928 809271 880128 889296 893952 903264 944304 949248 959136 969127 990144 1000458 1005696 1016172 1062342 1067904 1079028 1113912 1131408 1185728 1201392 1204352 1259072 1278848 1320192 1333944 1340928 1354896 1416456 1423872 1438704 1485216 1500687 1508544 1524258 1593513 1601856 1618542 1760256 1778592 1797119 1806528 1888608 1908281 1918272 1938254 1980288 2000916 2011392 2032344 2124684 2135808 2158056 2227824 2262816 2286387 2371456 2402784 2408704 2427813 2518144 2557696 2640384 2667888 2681856 2709792 2832912 2847744 2877408 2907381 2970432 3001374 3017088 3048516 3187026 3203712 3237084 3557184 3594238 3613056 3777216 3816562 3836544 3876508 3960576 4001832 4022784 4064688 4249368 4271616 4316112 4455648 4502061 4525632 4572774 4742912 4780539 4805568 4817408 4855626 5036288 5115392 5280768 5335776 5391357 5419584 5665824 5724843 5754816 5814762 5940864 6002748 6034176 6097032 6374052 6407424 6474168 6859161 7114368 7188476 7226112 7283439 7554432 7633124 7673088 7753016 7921152 8003664 8045568 8129376 8498736 8543232 8632224 8722143 8911296 9004122 9051264 9145548 9485824 9561078 9611136 9634816 9711252 10072576 10230784 10671552 10782714 10839168 11331648 11449686 11509632 11629524 11881728 12005496 12068352 12194064 12748104 12814848 12948336 13506183 13718322 14228736 14341617 14376952 14452224 14566878 15108864 15266248 15346176 15506032 15842304 16007328 16174071 16258752 16997472 17174529 17264448 17444286 17822592 18008244 18102528 18291096 18971648 19122156 19222272 19422504 20145152 21343104 21565428 21678336 22663296 22899372 23019264 23259048 23763456 24010992 24136704 24388128 25496208 25629696 25896672 26166429 27012366 27436644 28457472 28683234 28753904 28904448 29133756 30217728 30532496 30692352 31012064 32014656 32348142 32517504 33994944 34349058 34528896 34888572 35645184 36016488 36205056 36582192 38244312 38444544 38845008 42686208 43130856 43356672 45326592 45798744 46038528 46518096 47526912 48021984 48522213 48776256 50992416 51523587 51793344 52332858 54024732 54873288 56914944 57366468 57507808 58267512 60435456 61064992 62024128 64029312 64696284 65035008 67989888 68698116 69057792 69777144 71290368 72032976 72410112 73164384 76488624 76889088 77690016 78499287 85372416 86261712 86713344 90653184 91597488 92077056 93036192 96043968 97044426 97552512 101984832 103047174 103586688 104665716 108049464 109746576 114732936 115015616 116535024 122129984 124048256 128058624 129392568 130070016 135979776 137396232 138115584 139554288 142580736 144065952 145566639 146328768 152977248 154570761 155380032 156998574 170744832 172523424 181306368 183194976 185103257 186072384 192087936 194088852 195105024 203969664 206094348 207173376 209331432 216098928 219493152 229465872 230031232 233070048 235497861 244259968 248096512 256117248 258785136 260140032 271959552 274792464 276231168 279108576 288131904 291133278 292657536 305954496 309141522 310760064 313997148 345046848 366389952 370206514 372144768 384175872 388177704 390210048 407939328 412188696 414346752 418662864 432197856 436699917 438986304 458931744 460062464 463712283 466140096 470995722 488519936 496193024 512234496 517570272 543919104 549584928 555309771 558217152 576263808 582266556 585315072 611908992 618283044 621520128 627994296 690093696 706493583 732779904 740413028 744289536 768351744 776355408 780420096 815878656 824377392 828693504 837325728 864395712 873399834 877972608 917863488 920124928 927424566 932280192 941991444 977039872 992386048 1035140544 1099169856 1110619542 1116434304 1152527616 1164533112 1170630144 1223817984 1236566088 1243040256 1255988592 1310099751 1380187392 1391136849 1412987166 1465559808 1480826056 1488579072 1536703488 1552710816 1631757312 1648754784 1665929313 1674651456 1728791424 1746799668 1755945216 1835726976 1840249856 1854849132 1864560384 1883982888 1954079744 2070281088 2198339712 2221239084 2232868608 2305055232 2329066224 2341260288 2447635968 2473132176 2486080512 2511977184 2620199502 2760374784 2782273698 2825974332 2931119616 2961652112 2977158144 3105421632 3297509568 3331858626 3349302912 3457582848 3493599336 3511890432 3671453952 3709698264 3729120768 3767965776 4140562176 4396679424 4442478168 4465737216 4610110464 4658132448 4895271936 4946264352 4997787939 5023954368 5240399004 5520749568 5564547396 5651948664 5862239232 5923304224 6210843264 6595019136 6663717252 6698605824 6915165696 6987198672 7023780864 7342907904 7419396528 7458241536 7535931552 8281124352 8793358848 8884956336 8931474432 9316264896 9892528704 9995575878 10047908736 10480798008 11129094792 11303897328 11846608448 12421686528 13190038272 13327434504 13397211648 13830331392 13974397344 14685815808 14838793056 14993363817 15071863104 16562248704 17586717696 17769912672 18632529792 19785057408 19991151756 20095817472 20961596016 22258189584 22607794656 23693216896 24843373056 26380076544 26654869008 26794423296 27948794688 29677586112 29986727634 30143726208 35539825344 37265059584 39570114816 39982303512 40191634944 41923192032 44516379168 44980091451 45215589312 47386433792 49686746112 52760153088 53309738016 55897589376 59355172224 59973455268 60287452416 71079650688 74530119168 79140229632 79964607024 80383269888 83846384064 89032758336 89960182902 90431178624 94772867584 106619476032 111795178752 118710344448 119946910536 120574904832 134940274353 142159301376 149060238336 158280459264 159929214048 167692768128 178065516672 179920365804 180862357248 189545735168 213238952064 223590357504 237420688896 239893821072 241149809664 269880548706 284318602752 319858428096 335385536256 356131033344 359840731608 361724714496 426477904128 447180715008 474841377792 479787642144 539761097412 568637205504 639716856192 670771072512 712262066688 719681463216 723449428992 852955808256 959575284288 1079522194824 1279433712384 1341542145024 1424524133376 1439362926432 1705911616512 1919150568576 2159044389648 2558867424768 2878725852864 3838301137152 4318088779296 5117734849536 5757451705728 7676602274304 8636177558592 11514903411456 15353204548608 17272355117184 23029806822912 34544710234368 46059613645824 69089420468736 138178840937472
- Sum of all divisors σ(n): 424733059984896
- Sum of proper divisors (its aliquot sum) s(n): 286554219047424
- 138178840937472 is an abundant number, because the sum of its proper divisors (286554219047424) is greater than itself. Its abundance is 148375378109952
Bases of 138178840937472
- Binary: 111110110101100010001001011101011000100000000002
- Hexadecimal: 0x7DAC44BAC400
- Base-36: 1CZAHE8000
Squares and roots of 138178840937472
- 138178840937472 squared (1381788409374722) is 19093392082823187863813750784
- 138178840937472 cubed (1381788409374723) is 2638302787569212486792281632447415134978048
-
The
square root of 138178840937472 is 11754949.6356841955 -
The
cube root of 138178840937472 is 51698.8062504693
Scales and comparisons
How big is 138178840937472?- 138,178,840,937,472 seconds is equal to 4,393,659 years, 37 weeks, 5 days, 11 hours, 31 minutes, 12 seconds.
-
To count from 1 to 138,178,840,937,472 would take you about ten million, nine hundred eighty-four thousand, one hundred forty-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 138178840937472 cubic inches would be around 4308.2 feet tall.
Recreational maths with 138178840937472
- 138178840937472 backwards is 274739048871831
- 138178840937472 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 138178840937472's digits is 72
- More coming soon!
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The information we have on file for 138178840937472 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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