138947039598080
138,947,039,598,080 is an even composite number composed of seven prime numbers multiplied together.
What does the number 138947039598080 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 960 divisors.
138947039598080 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of nine hundred sixty divisors.
Prime factorization of 138947039598080:
29 × 5 × 7 × 29 × 312 × 61 × 4561
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 7 × 29 × 31 × 31 × 61 × 4561)See below for interesting mathematical facts about the number 138947039598080 from the Numbermatics database.
Names of 138947039598080
- Cardinal: 138947039598080 can be written as One hundred thirty-eight trillion, nine hundred forty-seven billion, thirty-nine million, five hundred ninety-eight thousand and eighty.
Scientific notation
- Scientific notation: 1.3894703959808 × 1014
Factors of 138947039598080
Divisors of 138947039598080
- Number of divisors d(n): 960
-
Complete list of divisors:
1 2 4 5 7 8 10 14 16 20 28 29 31 32 35 40 56 58 61 62 64 70 80 112 116 122 124 128 140 145 155 160 203 217 224 232 244 248 256 280 290 305 310 320 406 427 434 448 464 488 496 512 560 580 610 620 640 812 854 868 896 899 928 961 976 992 1015 1085 1120 1160 1220 1240 1280 1624 1708 1736 1769 1792 1798 1856 1891 1922 1952 1984 2030 2135 2170 2240 2320 2440 2480 2560 3248 3416 3472 3538 3584 3596 3712 3782 3844 3904 3968 4060 4270 4340 4480 4495 4561 4640 4805 4880 4960 6293 6496 6727 6832 6944 7076 7192 7424 7564 7688 7808 7936 8120 8540 8680 8845 8960 8990 9122 9280 9455 9610 9760 9920 12383 12586 12992 13237 13454 13664 13888 14152 14384 14848 15128 15376 15616 15872 16240 17080 17360 17690 17920 17980 18244 18560 18910 19220 19520 19840 22805 24766 25172 25984 26474 26908 27328 27776 27869 28304 28768 30256 30752 31232 31465 31927 32480 33635 34160 34720 35380 35960 36488 37120 37820 38440 39040 39680 45610 49532 50344 51968 52948 53816 54656 54839 55552 55738 56608 57536 58621 60512 61504 61915 62930 63854 64960 66185 67270 68320 69440 70760 71920 72976 74240 75640 76880 78080 79360 91220 99064 100688 103936 105896 107632 109312 109678 111104 111476 113216 115072 117242 121024 123008 123830 125860 127708 129920 132269 132370 134540 136640 138880 139345 141391 141520 143840 145952 151280 153760 156160 159635 182440 195083 198128 201376 211792 215264 218624 219356 222952 226432 230144 234484 242048 246016 247660 251720 255416 259840 264538 264740 269080 273280 274195 277760 278221 278690 282782 283040 287680 291904 293105 302560 307520 319270 364880 383873 390166 396256 402752 410347 423584 430528 438712 445904 452864 460288 468968 484096 492032 495320 503440 510832 519680 529076 529480 538160 546560 548390 555520 556442 557380 565564 566080 575360 583808 586210 605120 615040 638540 661345 706955 729760 767746 780332 792512 805504 820694 847168 861056 877424 891808 905728 925883 937936 968192 975415 989737 990640 1006880 1021664 1058152 1058960 1076320 1093120 1096780 1112884 1114760 1131128 1132160 1150720 1167616 1172420 1210240 1230080 1277080 1322690 1391105 1413910 1459520 1535492 1560664 1585024 1611008 1641388 1694336 1700009 1722112 1754848 1783616 1851766 1875872 1919365 1947547 1950830 1979474 1981280 2013760 2043328 2051735 2116304 2117920 2152640 2193560 2225768 2229520 2262256 2264320 2301440 2335232 2344840 2420480 2460160 2554160 2645380 2782210 2827820 2919040 3070984 3121328 3170048 3222016 3282776 3388672 3400018 3444224 3509696 3567232 3703532 3751744 3838730 3895094 3901660 3958948 3962560 4027520 4086656 4100339 4103470 4232608 4235840 4305280 4383121 4387120 4451536 4459040 4524512 4528640 4629415 4689680 4840960 4948685 5108320 5290760 5564420 5655640 5838080 6141968 6242656 6340096 6565552 6777344 6800036 7019392 7134464 7407064 7503488 7677460 7790188 7803320 7917896 7925120 8055040 8068409 8173312 8200678 8206940 8465216 8471680 8500045 8610560 8624851 8766242 8774240 8903072 8918080 9049024 9258830 9379360 9737735 9897370 10216640 10581520 11128840 11311280 11676160 11900063 12283936 12485312 13131104 13600072 14038784 14268928 14814128 15006976 15354920 15580376 15606640 15835792 15850240 16110080 16136818 16346624 16401356 16413880 16930432 16943360 17000090 17221120 17249702 17532484 17548480 17806144 17836160 18098048 18517660 18758720 19475470 19794740 20433280 20501695 21163040 21915605 22257680 22622560 23800126 24567872 24970624 26262208 27200144 28077568 28702373 29628256 30013952 30681847 30709840 31160752 31213280 31671584 31700480 32273636 32802712 32827760 33860864 33886720 34000180 34499404 35064968 35096960 35612288 35672320 36196096 37035320 37517440 38950940 39589480 40342045 40866560 41003390 42326080 43124255 43831210 44515360 45245120 47600252 49135744 49941248 52524416 54400288 56478863 57404746 59256512 59500315 60373957 61363694 61419680 62321504 62426560 63343168 64547272 65605424 65655520 67721728 68000360 68998808 70129936 70193920 71224576 71344640 72392192 74070640 75034880 77901880 79178960 80684090 81733120 82006780 84652160 86248510 87662420 89030720 90490240 95200504 98271488 99882496 105048832 108800576 112957726 114809492 118513024 119000630 120747914 122727388 122839360 124643008 124853120 126686336 127110509 129094544 131210848 131311040 136000720 137997616 140259872 140387840 142449152 143511865 148141280 150069760 153409235 155803760 158357920 161368180 164013560 169304320 172497020 175324840 178061440 180980480 190401008 196542976 210097664 217601152 225915452 229618984 237026048 238001260 241495828 245454776 245678720 249286016 249706240 250120679 253372672 254221018 258189088 262421696 262622080 267370381 272001440 275995232 280519744 282394315 287023730 296282560 301869785 306818470 311607520 316715840 322736360 328027120 338608640 344994040 350649680 356122880 361960960 380802016 435202304 451830904 459237968 474052096 476002520 482991656 490909552 491357440 498572032 499412480 500241358 506745344 508442036 516378176 524843392 525244160 534740762 544002880 551990464 561039488 564788630 574047460 592565120 603739570 613636940 623215040 633431680 635552545 645472720 656054240 689988080 701299360 712245760 761604032 870404608 889773563 903661808 918475936 952005040 965983312 981819104 982714880 997144064 1000482716 1016884072 1032756352 1049686784 1050488320 1069481524 1088005760 1103980928 1122078976 1129577260 1148094920 1185130240 1207479140 1227273880 1246430080 1250603395 1266863360 1271105090 1290945440 1312108480 1336851905 1379976160 1402598720 1523208064 1750844753 1779547126 1807323616 1836951872 1871592667 1904010080 1931966624 1963638208 2000965432 2033768144 2065512704 2099373568 2138963048 2176011520 2207961856 2244157952 2259154520 2296189840 2370260480 2414958280 2454547760 2492860160 2501206790 2533726720 2542210180 2581890880 2624216960 2673703810 2759952320 2805197440 3046416128 3501689506 3559094252 3614647232 3673903744 3743185334 3808020160 3863933248 3927276416 4001930864 4067536288 4131025408 4277926096 4352023040 4415923712 4448867815 4518309040 4592379680 4829916560 4909095520 4985720320 5002413580 5084420360 5163781760 5248433920 5347407620 5519904640 5610394880 6092832256 7003379012 7118188504 7229294464 7347807488 7486370668 7616040320 7727866496 7753741049 7854552832 8003861728 8135072576 8555852192 8754223765 8897735630 9036618080 9184759360 9357963335 9659833120 9818191040 10004827160 10168840720 10327563520 10496867840 10694815240 11039809280 11220789760 14006758024 14236377008 14458588928 14695614976 14972741336 15232080640 15455732992 15507482098 15709105664 16007723456 16270145152 17111704384 17508447530 17795471260 18073236160 18369518720 18715926670 19319666240 19636382080 20009654320 20337681440 20655127040 21389630480 22079618560 28013516048 28472754016 28917177856 29945482672 30464161280 30911465984 31014964196 32015446912 32540290304 34223408768 35016895060 35590942520 36146472320 36739037440 37431853340 38639332480 38768705245 39272764160 40019308640 40675362880 42779260960 54276187343 56027032096 56945508032 59890965344 62029928392 64030893824 65080580608 68446817536 70033790120 71181885040 72292944640 73478074880 74863706680 77278664960 77537410490 78545528320 80038617280 81350725760 85558521920 108552374686 112054064192 113891016064 119781930688 124059856784 128061787648 136893635072 140067580240 142363770080 144585889280 149727413360 154557329920 155074820980 160077234560 162701451520 171117043840 217104749372 224108128384 227782032128 239563861376 248119713568 271380936715 280135160480 284727540160 299454826720 310149641960 320154469120 325402903040 342234087680 434209498744 448216256768 455564064256 479127722752 496239427136 542761873430 560270320960 569455080320 598909653440 620299283920 640308938240 684468175360 868418997488 896432513536 958255445504 992478854272 1085523746860 1120540641920 1138910160640 1197819306880 1240598567840 1736837994976 1984957708544 2171047493720 2241081283840 2277820321280 2395638613760 2481197135680 3473675989952 3969915417088 4342094987440 4482162567680 4791277227520 4962394271360 6947351979904 8684189974880 9924788542720 13894703959808 17368379949760 19849577085440 27789407919616 34736759899520 69473519799040 138947039598080
- Sum of all divisors σ(n): 413746511207040
- Sum of proper divisors (its aliquot sum) s(n): 274799471608960
- 138947039598080 is an abundant number, because the sum of its proper divisors (274799471608960) is greater than itself. Its abundance is 135852432010880
Bases of 138947039598080
- Binary: 111111001011111001000001111000000010110000000002
- Hexadecimal: 0x7E5F20F01600
- Base-36: 1D93DZVC3K
Squares and roots of 138947039598080
- 138947039598080 squared (1389470395980802) is 19306279813070411527939686400
- 138947039598080 cubed (1389470395980803) is 2682550425678307010919836922498737242112000
-
The
square root of 138947039598080 is 11787579.8872406375 -
The
cube root of 138947039598080 is 51794.4349350689
Scales and comparisons
How big is 138947039598080?- 138,947,039,598,080 seconds is equal to 4,418,086 years, 3 weeks, 3 days, 16 hours, 21 minutes, 20 seconds.
-
To count from 1 to 138,947,039,598,080 would take you about eleven million, forty-five thousand, two hundred fifteen 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 138947039598080 cubic inches would be around 4316.2 feet tall.
Recreational maths with 138947039598080
- 138947039598080 backwards is 080895930749831
- The number of decimal digits it has is: 15
- The sum of 138947039598080's digits is 74
- 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 138947039598080 - Facts about the integer". Numbermatics.com. 2024. Web. 21 June 2024.
APA style:
Numbermatics. (2024). Number 138947039598080 - Facts about the integer. Retrieved 21 June 2024, from https://numbermatics.com/n/138947039598080/
Chicago style:
Numbermatics. 2024. "Number 138947039598080 - Facts about the integer". https://numbermatics.com/n/138947039598080/
The information we have on file for 138947039598080 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 138947039598080, math, Factors of 138947039598080, curriculum, school, college, exams, university, Prime factorization of 138947039598080, STEM, science, technology, engineering, physics, economics, calculator, one hundred thirty-eight trillion, nine hundred forty-seven billion, thirty-nine million, five hundred ninety-eight thousand and eighty.