138168953383761888
138,168,953,383,761,888 is an even composite number composed of eight prime numbers multiplied together.
What does the number 138168953383761888 look like?
This visualization shows the relationship between its 8 prime factors (large circles) and 768 divisors.
138168953383761888 is an even composite number. It is composed of eight distinct prime numbers multiplied together. It has a total of seven hundred sixty-eight divisors.
Prime factorization of 138168953383761888:
25 × 3 × 7 × 17 × 73 × 107 × 7537 × 205441
(2 × 2 × 2 × 2 × 2 × 3 × 7 × 17 × 73 × 107 × 7537 × 205441)See below for interesting mathematical facts about the number 138168953383761888 from the Numbermatics database.
Names of 138168953383761888
- Cardinal: 138168953383761888 can be written as One hundred thirty-eight quadrillion, one hundred sixty-eight trillion, nine hundred fifty-three billion, three hundred eighty-three million, seven hundred sixty-one thousand, eight hundred eighty-eight.
Scientific notation
- Scientific notation: 1.38168953383761888 × 1017
Factors of 138168953383761888
Divisors of 138168953383761888
- Number of divisors d(n): 768
-
Complete list of divisors:
1 2 3 4 6 7 8 12 14 16 17 21 24 28 32 34 42 48 51 56 68 73 84 96 102 107 112 119 136 146 168 204 214 219 224 238 272 292 321 336 357 408 428 438 476 511 544 584 642 672 714 749 816 856 876 952 1022 1168 1241 1284 1428 1498 1533 1632 1712 1752 1819 1904 2044 2247 2336 2482 2568 2856 2996 3066 3424 3504 3638 3723 3808 4088 4494 4964 5136 5457 5712 5992 6132 7008 7276 7446 7537 7811 8176 8687 8988 9928 10272 10914 11424 11984 12264 12733 14552 14892 15074 15622 16352 17374 17976 19856 21828 22611 23433 23968 24528 25466 26061 29104 29784 30148 31244 34748 35952 38199 39712 43656 45222 46866 49056 50932 52122 52759 54677 58208 59568 60296 62488 69496 71904 76398 87312 90444 93732 101864 104244 105518 109354 119136 120592 124976 128129 132787 138992 152796 158277 164031 174624 180888 187464 203728 205441 208488 211036 218708 241184 249952 256258 265574 277984 305592 316554 328062 361776 374928 384387 398361 407456 410882 416976 422072 437416 512516 531148 550201 611184 616323 633108 656124 723552 749856 768774 796722 806459 821764 833952 844144 874832 896903 929509 1025032 1062296 1100402 1222368 1232646 1266216 1312248 1438087 1537548 1593444 1612918 1643528 1650603 1688288 1749664 1793806 1859018 2050064 2124592 2200804 2419377 2465292 2532432 2624496 2690709 2788527 2876174 3075096 3186888 3225836 3287056 3301206 3492497 3587612 3718036 3851407 4100128 4249184 4314261 4401608 4838754 4930584 5064864 5248992 5381418 5577054 5645213 5752348 6150192 6373776 6451672 6574112 6602412 6984994 7175224 7436072 7702814 8628522 8803216 9353417 9677508 9861168 10477491 10762836 11154108 11290426 11504696 11554221 12300384 12747552 12903344 13204824 13709803 13969988 14350448 14872144 14997193 15405628 16935639 17257044 17606432 18706834 19355016 19722336 20954982 21525672 21982187 22308216 22580852 23009392 23108442 24447479 25806688 26409648 27419606 27939976 28060251 28700896 29744288 29994386 30811256 33871278 34514088 37413668 38710032 41129409 41909964 43051344 43964374 44616432 44991579 45161704 46018784 46216884 48894958 52819296 54839212 55879952 56120502 58871507 59988772 61622512 65473919 65946561 67742556 69028176 73342437 74827336 77420064 82258818 83819928 86102688 87928748 89232864 89983158 90323408 92433768 95968621 97789916 104980351 109678424 111759904 112241004 117743014 119977544 123245024 130947838 131893122 135485112 138056352 146684874 149654672 153875309 164517636 167639856 175857496 176614521 179966316 180646816 184867536 191937242 195579832 196421757 209960702 219356848 224482008 235486028 239955088 254952281 261895676 263786244 270970224 287905863 293369748 299309344 307750618 314941053 329035272 335279712 351714992 353229042 359932632 369735072 373697179 383874484 391159664 392843514 412100549 419921404 438713696 448964016 461625927 470972056 479910176 509904562 523791352 527572488 541940448 575811726 586739496 615501236 629882106 658070544 703429984 706458084 719865264 747394358 764856843 767748968 782319328 785687028 824201098 839842808 897928032 923251854 941944112 1000815619 1019809124 1047582704 1055144976 1121091537 1151623452 1173478992 1231002472 1236301647 1259764212 1316141088 1412916168 1439730528 1494788716 1529713686 1535497936 1548408817 1571374056 1604699651 1648402196 1679685616 1784665967 1846503708 1883888224 2001631238 2039618248 2095165408 2110289952 2242183074 2303246904 2346957984 2462004944 2472603294 2519528424 2615880253 2825832336 2989577432 3002446857 3059427372 3070995872 3096817634 3142748112 3209399302 3296804392 3359371232 3569331934 3693007416 4003262476 4079236496 4484366148 4606493808 4645226451 4814098953 4924009888 4945206588 5039056848 5231760506 5353997901 5651664672 5979154864 6004893714 6118854744 6193635268 6285496224 6418798604 6593608784 7005709333 7138663868 7386014832 7847640759 8006524952 8158472992 8968732296 9212987616 9290452902 9628197906 9890413176 10078113696 10463521012 10707995802 10838861719 11232897557 11958309728 12009787428 12237709488 12387270536 12837597208 13187217568 14011418666 14277327736 14772029664 15695281518 16013049904 17937464592 18580905804 19256395812 19780826352 20927042024 21017127999 21415991604 21677723438 22465795114 24019574856 24475418976 24774541072 25675194416 26322949889 27279894067 28022837332 28554655472 31390563036 32026099808 32516585157 33698692671 35874929184 37161811608 38512791624 39561652704 41854084048 42034255998 42831983208 43355446876 44931590228 48039149712 49549082144 51350388832 52645899778 54559788134 56045674664 57109310944 62781126072 65033170314 67397385342 74323623216 77025583248 78968849667 81839682201 83708168096 84068511996 85663966416 86710893752 89863180456 96078299424 105291799556 109119576268 112091349328 113033843641 125562252144 130066340628 134794770684 148647246432 154051166496 157937699334 163679364402 165679743419 168137023992 171327932832 173421787504 179726360912 184260649223 190959258469 210583599112 218239152536 224182698656 226067687282 251124504288 260132681256 269589541368 315875398668 327358728804 331359486838 336274047984 339101530923 346843575008 359452721824 368521298446 381918516938 421167198224 436478305072 452135374564 497039230257 520265362512 539179082736 552781947669 572877775407 631750797336 654717457608 662718973676 672548095968 678203061846 737042596892 763837033876 791236905487 842334396448 872956610144 904270749128 994078460514 1040530725024 1078358165472 1105563895338 1145755550814 1159758203933 1263501594672 1309434915216 1325437947352 1356406123692 1474085193784 1527674067752 1582473810974 1808541498256 1921575341897 1988156921028 2211127790676 2291511101628 2319516407866 2373710716461 2527003189344 2618869830432 2650875894704 2712812247384 2816555638123 2948170387568 3055348135504 3164947621948 3479274611799 3617082996512 3843150683794 3976313842056 4422255581352 4583022203256 4639032815732 4747421432922 5301751789408 5425624494768 5633111276246 5764726025691 5896340775136 6110696271008 6329895243896 6958549223598 7686301367588 7952627684112 8449666914369 8844511162704 9166044406512 9278065631464 9494842865844 10851248989536 11266222552492 11529452051382 12094621269587 12659790487792 13451027393279 13917098447196 15372602735176 15905255368224 16899333828738 17689022325408 18332088813024 18556131262928 18989685731688 19715889466861 22532445104984 23058904102764 24189242539174 25319580975584 26902054786558 27834196894392 30745205470352 33798667657476 36283863808761 37112262525856 37979371463376 39431778933722 40353082179837 45064890209968 46117808205528 48378485078348 53804109573116 55668393788784 59147668400583 61490410940704 67597335314952 72567727617522 75958742926752 78863557867444 80706164359674 84662348887109 90129780419936 92235616411056 96756970156696 107608219146232 111336787577568 118295336801166 135194670629904 145135455235044 157727115734888 161412328719348 169324697774218 184471232822112 193513940313392 205608561582979 215216438292464 236590673602332 253987046661327 270389341259808 290270910470088 315454231469776 322824657438696 338649395548436 387027880626784 411217123165958 430432876584928 473181347204664 507974093322654 580541820940176 616825684748937 630908462939552 645649314877392 677298791096872 822434246331916 946362694409328 1015948186645308 1161083641880352 1233651369497874 1291298629754784 1354597582193744 1439259931080853 1644868492663832 1892725388818656 2031896373290616 2467302738995748 2709195164387488 2878519862161706 3289736985327664 4063792746581232 4317779793242559 4934605477991496 5757039724323412 6579473970655328 8127585493162464 8635559586485118 9869210955982992 11514079448646824 17271119172970236 19738421911965984 23028158897293648 34542238345940472 46056317794587296 69084476691880944 138168953383761888
- Sum of all divisors σ(n): 449121530764118016
- Sum of proper divisors (its aliquot sum) s(n): 310952577380356128
- 138168953383761888 is an abundant number, because the sum of its proper divisors (310952577380356128) is greater than itself. Its abundance is 172783623996594240
Bases of 138168953383761888
- Binary: 1111010101101111111101110010110010110110100110111111000002
- Hexadecimal: 0x1EADFEE596D37E0
- Base-36: 11SGT0X015UO
Squares and roots of 138168953383761888
- 138168953383761888 squared (1381689533837618882) is 19090659679164165679799714681324544
- 138168953383761888 cubed (1381689533837618883) is 2637736467275696288737974310442082865648857346179072
-
The
square root of 138168953383761888 is 371710846.4704277203 -
The
cube root of 138168953383761888 is 516975.7309756601
Scales and comparisons
How big is 138168953383761888?- 138,168,953,383,761,888 seconds is equal to 4,393,345,332 years, 50 weeks, 2 days, 22 hours, 44 minutes, 48 seconds.
-
To count from 1 to 138,168,953,383,761,888 would take you about thirteen billion, one hundred eighty million, thirty-five thousand, nine hundred ninety-eight 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 138168953383761888 cubic inches would be around 43081.3 feet tall.
Recreational maths with 138168953383761888
- 138168953383761888 backwards is 888167383359861831
- 138168953383761888 is a
Harshad number . - The number of decimal digits it has is: 18
- The sum of 138168953383761888's digits is 96
- More coming soon!
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The information we have on file for 138168953383761888 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 138168953383761888, math, Factors of 138168953383761888, curriculum, school, college, exams, university, Prime factorization of 138168953383761888, STEM, science, technology, engineering, physics, economics, calculator, one hundred thirty-eight quadrillion, one hundred sixty-eight trillion, nine hundred fifty-three billion, three hundred eighty-three million, seven hundred sixty-one thousand, eight hundred eighty-eight.