138997477875456
138,997,477,875,456 is an even composite number composed of six prime numbers multiplied together.
What does the number 138997477875456 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 1296 divisors.
138997477875456 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one thousand, two hundred ninety-six divisors.
Prime factorization of 138997477875456:
28 × 35 × 17 × 29 × 1272 × 281
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 17 × 29 × 127 × 127 × 281)See below for interesting mathematical facts about the number 138997477875456 from the Numbermatics database.
Names of 138997477875456
- Cardinal: 138997477875456 can be written as One hundred thirty-eight trillion, nine hundred ninety-seven billion, four hundred seventy-seven million, eight hundred seventy-five thousand, four hundred fifty-six.
Scientific notation
- Scientific notation: 1.38997477875456 × 1014
Factors of 138997477875456
Divisors of 138997477875456
- Number of divisors d(n): 1296
-
Complete list of divisors:
1 2 3 4 6 8 9 12 16 17 18 24 27 29 32 34 36 48 51 54 58 64 68 72 81 87 96 102 108 116 127 128 136 144 153 162 174 192 204 216 232 243 254 256 261 272 281 288 306 324 348 381 384 408 432 459 464 486 493 508 522 544 562 576 612 648 696 762 768 783 816 843 864 918 928 972 986 1016 1044 1088 1124 1143 1152 1224 1296 1377 1392 1479 1524 1566 1632 1686 1728 1836 1856 1944 1972 2032 2088 2159 2176 2248 2286 2304 2349 2448 2529 2592 2754 2784 2958 3048 3132 3264 3372 3429 3456 3672 3683 3712 3888 3944 4064 4131 4176 4318 4352 4437 4496 4572 4698 4777 4896 5058 5184 5508 5568 5916 6096 6264 6477 6528 6744 6858 6912 7047 7344 7366 7424 7587 7776 7888 8128 8149 8262 8352 8636 8874 8992 9144 9396 9554 9792 10116 10287 10368 11016 11049 11136 11832 12192 12528 12954 13056 13311 13488 13716 14094 14331 14688 14732 15174 15552 15776 16129 16256 16298 16524 16704 17272 17748 17984 18288 18792 19108 19431 19584 20232 20574 20736 22032 22098 22272 22761 23664 24384 24447 25056 25908 26622 26976 27432 28188 28662 29376 29464 30348 30861 31104 31552 32258 32512 32596 33048 33147 33408 34544 35496 35687 35968 36576 37584 38216 38862 39168 39933 40464 41148 42993 44064 44196 45522 47328 48387 48768 48894 50112 51816 53244 53952 54864 56376 57324 58293 58752 58928 60696 61722 62208 62611 63104 64516 65192 66096 66294 66816 68283 69088 70992 71374 71936 73152 73341 75168 76432 77724 79866 80928 82296 85986 88128 88392 91044 94656 96774 97536 97788 99441 100224 103632 106488 107061 107904 109728 112752 114648 116586 117504 117856 119799 121392 123444 125222 126208 128979 129032 130384 132192 132588 136566 138176 138533 141984 142748 145161 146304 146682 150336 152864 155448 159732 161856 164592 171972 174879 176256 176784 182088 187833 189312 193548 195576 198882 200448 207264 212976 214122 215808 219456 220023 225504 229296 233172 235712 239598 242784 246888 250444 257958 258064 260768 264384 265176 273132 274193 276352 277066 283968 285496 290322 292608 293364 298323 300672 305728 310896 319464 321183 323712 329184 343944 349758 352512 353568 364176 375666 378624 386937 387096 391152 397764 414528 415599 425952 428244 435483 438912 440046 451008 458592 466344 467741 471424 479196 485568 493776 500888 515916 516128 521536 524637 528768 530352 546264 548386 552704 554132 563499 567936 570992 580644 586728 596646 601344 606679 611456 621792 638928 642366 647424 658368 660069 687888 699516 707136 728352 751332 773874 774192 782304 795528 822579 829056 831198 851904 856488 870966 877824 880092 894969 902016 917184 932688 935482 942848 958392 963549 971136 987552 1001776 1031832 1032256 1034923 1043072 1049274 1057536 1060704 1092528 1096772 1108264 1126998 1135872 1141984 1160811 1161288 1173456 1193292 1213358 1222912 1243584 1246797 1277856 1284732 1306449 1316736 1320138 1375776 1399032 1403223 1414272 1456704 1502664 1547748 1548384 1564608 1591056 1645158 1658112 1662396 1690497 1703808 1712976 1741932 1760184 1789938 1804032 1820037 1834368 1865376 1870964 1916784 1927098 1942272 1975104 1980207 2003552 2063664 2064512 2069846 2086144 2098548 2121408 2185056 2193544 2216528 2253996 2283968 2321622 2322576 2346912 2386584 2426716 2467737 2487168 2493594 2555712 2569464 2612898 2633472 2640276 2751552 2798064 2806446 2828544 2890647 2913408 3005328 3095496 3096768 3104769 3129216 3182112 3290316 3324792 3380994 3407616 3425952 3483864 3520368 3579876 3640074 3668736 3730752 3740391 3741928 3833568 3854196 3919347 3950208 3960414 4007104 4127328 4129024 4139692 4197096 4209669 4242816 4370112 4387088 4433056 4507992 4532249 4567936 4643244 4645152 4693824 4773168 4853432 4935474 4974336 4987188 5071491 5111424 5138928 5225796 5280552 5460111 5503104 5596128 5612892 5781294 5826816 6010656 6190992 6193536 6209538 6258432 6364224 6580632 6649584 6761988 6851904 6967728 7040736 7159752 7280148 7403211 7461504 7480782 7483856 7667136 7708392 7838694 7900416 7920828 7951597 8014208 8254656 8279384 8394192 8419338 8485632 8671941 8740224 8774176 8866112 9015984 9064498 9135872 9286488 9290304 9314307 9387648 9546336 9706864 9870948 9974376 10142982 10222848 10277856 10451592 10561104 10920222 11006208 11192256 11221173 11225784 11562588 12021312 12381984 12387072 12419076 12629007 12728448 13161264 13299168 13523976 13596747 13703808 13935456 14081472 14319504 14560296 14806422 14923008 14961564 14967712 15214473 15334272 15416784 15677388 15841656 15903194 16028416 16380333 16509312 16558768 16788384 16838676 17343882 17480448 17548352 17593691 17732224 18031968 18128996 18572976 18580608 18628614 18775296 19092672 19413728 19741896 19948752 20285964 20555712 20903184 21122208 21840444 22209633 22384512 22442346 22451568 23125176 23854791 24042624 24763968 24838152 25258014 25456896 26322528 26598336 27047952 27193494 27407616 27870912 27942921 28162944 28639008 29120592 29612844 29923128 29935424 30428946 30668544 30833568 31354776 31683312 31806388 32760666 33018624 33117536 33576768 33663519 33677352 34687764 35096704 35187382 35464448 36063936 36257992 37145952 37161216 37257228 37887021 38185344 38827456 39483792 39897504 40571928 40790241 41111424 41806368 42244416 43680888 44419266 44769024 44884692 44903136 46250352 47709582 48085248 49140999 49527936 49676304 50516028 52645056 52781073 53196672 54095904 54386988 55741824 55885842 56325888 57278016 58241184 59225688 59846256 59870848 60857892 61667136 62709552 63366624 63612776 65521332 66235072 66628899 67153536 67327038 67354704 69375528 70193408 70374764 71564373 72127872 72515984 74291904 74514456 75774042 76370688 77048233 77654912 78967584 79795008 81143856 81580482 82222848 83612736 83828763 84488832 87361776 88838532 89769384 89806272 92500704 95419164 98281998 99055872 99352608 101032056 105290112 105562146 106393344 108191808 108773976 111483648 111771684 113661063 114556032 116482368 118451376 119692512 119741696 121715784 122370723 123334272 125419104 126733248 127225552 131042664 131435221 132470144 133257798 134307072 134654076 134709408 138751056 140749528 143128746 144255744 145031968 147422997 148583808 149028912 151548084 154096466 155309824 157935168 158343219 159590016 162287712 163160964 167225472 167657526 168977664 174723552 177677064 179538768 179612544 185001408 190838328 196563996 198705216 202064112 210580224 211124292 214693119 216383616 217547952 223543368 227322126 229112064 231144699 232964736 236902752 239385024 243431568 244741446 246668544 250838208 251486289 253466496 254451104 262085328 262870442 264940288 266515596 269308152 269418816 277502112 281499056 286257492 290063936 294845994 297167616 298057824 303096168 308192932 315870336 316686438 319180032 324575424 326321928 334450944 335315052 349447104 355354128 359077536 359225088 367112169 370002816 381676656 393127992 394305663 397410432 404128224 422248584 429386238 432767232 435095904 447086736 454644252 462289398 465929472 473805504 475029657 478770048 486863136 489482892 501676416 502972578 506932992 508902208 524170656 525740884 533031192 538616304 538837632 555004224 562998112 572514984 580127872 589691988 596115648 606192336 616385864 631740672 633372876 644079357 649150848 652643856 670630104 693434097 698894208 710708256 718155072 734224338 740005632 763353312 786255984 788611326 794820864 808256448 844497168 858772476 870191808 894173472 909288504 924578796 947611008 950059314 957540096 973726272 978965784 1003352832 1005945156 1017804416 1048341312 1051481768 1066062384 1077232608 1077675264 1101336507 1110008448 1125996224 1145029968 1160255744 1179383976 1182916989 1192231296 1212384672 1232771728 1266745752 1288158714 1298301696 1305287712 1341260208 1386868194 1397788416 1421416512 1425088971 1436310144 1468448676 1526706624 1572511968 1577222652 1616512896 1688994336 1717544952 1740383616 1788346944 1818577008 1849157592 1895222016 1900118628 1932238071 1947452544 1957931568 2011890312 2035608832 2080302291 2096682624 2102963536 2132124768 2154465216 2202673014 2220016896 2234398757 2251992448 2290059936 2358767952 2365833978 2384462592 2424769344 2465543456 2533491504 2576317428 2610575424 2682520416 2773736388 2842833024 2850177942 2872620288 2936897352 3053413248 3145023936 3154445304 3233025792 3377988672 3435089904 3480767232 3548750967 3576693888 3637154016 3698315184 3800237256 3864476142 3894905088 3915863136 4023780624 4160604582 4193365248 4205927072 4264249536 4275266913 4308930432 4405346028 4468797514 4503984896 4580119872 4717535904 4731667956 4849538688 4931086912 5066983008 5152634856 5221150848 5365040832 5547472776 5685666048 5700355884 5873794704 6106826496 6240906873 6290047872 6308890608 6703196271 6755977344 6870179808 7097501934 7153387776 7274308032 7396630368 7600474512 7728952284 7831726272 8047561248 8321209164 8411854144 8528499072 8550533826 8617860864 8810692056 8937595028 9160239744 9435071808 9463335912 9699077376 9862173824 10133966016 10305269712 10442301696 10646252901 10730081664 11094945552 11400711768 11747589408 12481813746 12580095744 12617781216 13406392542 13511954688 13740359616 14195003868 14548616064 14793260736 15200949024 15457904568 15663452544 16095122496 16642418328 16823708288 17056998144 17101067652 17621384112 17875190056 18320479488 18722720619 18870143616 18926671824 19724347648 20109588813 20267932032 20610539424 21292505802 21460163328 22189891104 22801423536 23495178816 24963627492 25235562432 26812785084 27480719232 28390007736 29097232128 29586521472 30401898048 30915809136 31326905088 31938758703 32190244992 33284836656 33647416576 34202135304 35242768224 35750380112 37445441238 37740287232 37853343648 40219177626 40535864064 41221078848 42585011604 44379782208 45602847072 46990357632 49927254984 50471124864 53625570168 54961438464 56780015472 59173042944 60328766439 60803796096 61831618272 63877517406 64380489984 66569673312 68404270608 70485536448 71500760224 74890882476 75706687296 80438355252 82442157696 85170023208 88759564416 91205694144 93980715264 99854509968 100942249728 107251140336 113560030944 120657532878 121607592192 123663236544 127755034812 133139346624 136808541216 140971072896 143001520448 149781764952 151413374592 160876710504 164884315392 170340046416 177519128832 180986299317 182411388288 199709019936 214502280672 227120061888 241315065756 247326473088 255510069624 266278693248 273617082432 281942145792 286003040896 299563529904 302826749184 321753421008 340680092832 361972598634 364822776576 399418039872 429004561344 454240123776 482630131512 494652946176 511020139248 532557386496 542958897951 547234164864 572006081792 599127059808 643506842016 681360185664 723945197268 798836079744 858009122688 908480247552 965260263024 1022040278496 1085917795902 1094468329728 1198254119616 1287013684032 1362720371328 1447890394536 1597672159488 1716018245376 1930520526048 2044080556992 2171835591804 2396508239232 2574027368064 2725440742656 2895780789072 3861041052096 4088161113984 4343671183608 4793016478464 5148054736128 5791561578144 7722082104192 8176322227968 8687342367216 11583123156288 15444164208384 17374684734432 23166246312576 34749369468864 46332492625152 69498738937728 138997477875456
- Sum of all divisors σ(n): 460474471023840
- Sum of proper divisors (its aliquot sum) s(n): 321476993148384
- 138997477875456 is an abundant number, because the sum of its proper divisors (321476993148384) is greater than itself. Its abundance is 182479515272928
Bases of 138997477875456
- Binary: 111111001101010110111110100101100011111000000002
- Hexadecimal: 0x7E6ADF4B1F00
- Base-36: 1D9QK5IO00
Squares and roots of 138997477875456
- 138997477875456 squared (1389974778754562) is 19320298855737880215447207936
- 138997477875456 cubed (1389974778754563) is 2685472812747623878324239991692928342818816
-
The
square root of 138997477875456 is 11789719.1601605167 -
The
cube root of 138997477875456 is 51800.7013658875
Scales and comparisons
How big is 138997477875456?- 138,997,477,875,456 seconds is equal to 4,419,689 years, 44 weeks, 1 day, 57 minutes, 36 seconds.
-
To count from 1 to 138,997,477,875,456 would take you about eleven million, forty-nine thousand, two hundred twenty-four 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 138997477875456 cubic inches would be around 4316.7 feet tall.
Recreational maths with 138997477875456
- 138997477875456 backwards is 654578774799831
- The number of decimal digits it has is: 15
- The sum of 138997477875456's digits is 90
- More coming soon!
Link to this page
HTML: To link to this page, just copy and paste the link below into your blog, web page or email.
BBCODE: To link to this page in a forum post or comment box, just copy and paste the link code below:
Cite this page
MLA style:
"Number 138997477875456 - Facts about the integer". Numbermatics.com. 2024. Web. 8 June 2024.
APA style:
Numbermatics. (2024). Number 138997477875456 - Facts about the integer. Retrieved 8 June 2024, from https://numbermatics.com/n/138997477875456/
Chicago style:
Numbermatics. 2024. "Number 138997477875456 - Facts about the integer". https://numbermatics.com/n/138997477875456/
The information we have on file for 138997477875456 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 138997477875456, math, Factors of 138997477875456, curriculum, school, college, exams, university, Prime factorization of 138997477875456, STEM, science, technology, engineering, physics, economics, calculator, one hundred thirty-eight trillion, nine hundred ninety-seven billion, four hundred seventy-seven million, eight hundred seventy-five thousand, four hundred fifty-six.