138764638438893047000
138,764,638,438,893,047,000 is an even composite number composed of five prime numbers multiplied together.
What does the number 138764638438893047000 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 2240 divisors.
138764638438893047000 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of two thousand, two hundred forty divisors.
Prime factorization of 138764638438893047000:
23 × 53 × 74 × 233 × 416
(2 × 2 × 2 × 5 × 5 × 5 × 7 × 7 × 7 × 7 × 23 × 23 × 23 × 41 × 41 × 41 × 41 × 41 × 41)See below for interesting mathematical facts about the number 138764638438893047000 from the Numbermatics database.
Names of 138764638438893047000
- Cardinal: 138764638438893047000 can be written as One hundred thirty-eight quintillion, seven hundred sixty-four quadrillion, six hundred thirty-eight trillion, four hundred thirty-eight billion, eight hundred ninety-three million, forty-seven thousand.
Scientific notation
- Scientific notation: 1.38764638438893047 × 1020
Factors of 138764638438893047000
Divisors of 138764638438893047000
- Number of divisors d(n): 2240
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Complete list of divisors:
1 2 4 5 7 8 10 14 20 23 25 28 35 40 41 46 49 50 56 70 82 92 98 100 115 125 140 161 164 175 184 196 200 205 230 245 250 280 287 322 328 343 350 392 410 460 490 500 529 574 575 644 686 700 805 820 875 920 943 980 1000 1025 1058 1127 1148 1150 1225 1288 1372 1400 1435 1610 1640 1681 1715 1750 1886 1960 2009 2050 2116 2254 2296 2300 2401 2450 2645 2744 2870 2875 3220 3362 3430 3500 3703 3772 4018 4025 4100 4232 4508 4600 4715 4802 4900 5125 5290 5635 5740 5750 6125 6440 6601 6724 6860 7000 7175 7406 7544 7889 8036 8050 8200 8405 8575 9016 9430 9604 9800 10045 10250 10580 11270 11480 11500 11767 12005 12167 12250 13202 13225 13448 13720 14063 14350 14812 15778 16072 16100 16810 17150 18515 18860 19208 20090 20125 20500 21160 21689 22540 23000 23534 23575 24010 24334 24500 25921 26404 26450 28126 28175 28700 29624 31556 32200 33005 33620 34300 35875 37030 37720 38663 39445 40180 40250 41000 42025 42875 43378 45080 46207 47068 47150 48020 48668 49000 50225 51842 52808 52900 55223 56252 56350 57400 58835 60025 60835 63112 66010 66125 67240 68600 68921 70315 71750 74060 77326 78890 80360 80500 82369 84050 85169 85750 86756 92414 92575 94136 94300 96040 97336 98441 100450 103684 105800 108445 110446 112504 112700 117670 117875 120050 121670 129605 132020 132250 137842 140630 140875 143500 148120 151823 154652 157780 161000 164738 165025 168100 170338 171500 173512 181447 184828 185150 188600 193315 196882 197225 200900 207368 210125 216890 220892 225400 231035 235340 235750 240100 243340 251125 259210 264040 264500 270641 275684 276115 281260 281750 287000 294175 300125 303646 304175 309304 315560 323449 329476 330050 336200 340676 343000 344605 351575 362894 369656 370300 386630 393764 394450 401800 411845 420250 425845 433780 441784 462070 462875 470680 471500 480200 482447 486680 492205 498847 502250 518420 529000 541282 542225 551368 552230 562520 563500 576583 588350 596183 600250 607292 608350 646898 648025 658952 660100 681352 689210 703150 725788 740600 759115 773260 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210217601028470 210583833782875 214134699184280 214507756151500 228100005652820 228497392422250 231178073200988 232755107809000 235853893836820 240667238609000 246254904061922 246683919574225 251280514348900 251673362325875 255917079512920 256362928083500 262315006500743 267668373980350 276285989923132 278170738601000 281924479513400 285125007066025 287626699801000 288972591501235 294304641439858 294817367296025 299788578857992 300310858612100 314100642936125 319896349391150 325857150932600 330195451371548 336934134052600 345357487403915 351792720088460 352405599391750 358908099316900 374735723572490 375388573265125 382383391400500 394694271318760 402677379721400 404561628101729 407321438665750 412744314214435 420435202056940 421167667565750 429015512303000 439740900110575 448635124146125 456200011305640 456994784844500 462356146401976 471707787673640 483500482365481 492509808123844 493367839148450 502561028697800 503346724651750 512725856167000 524630013001486 525544002571175 535336747960700 552571979846264 570250014132050 577945183002470 588609282879716 589634734592050 600621717224200 615637260154805 628201285872250 639792698782300 660390902743096 669170934950875 690714974807830 703585440176920 704811198783500 717816198633800 735761603599645 749471447144980 750777146530250 764766782801000 799740873477875 809123256203458 814642877331500 825488628428870 840870404113880 842335335131500 861892164216727 879481800221150 897270248292250 913989569689000 936839308931225 967000964730962 985019616247688 986735678296900 1006693449303500 1049260026002972 1051088005142350 1070673495921400 1140500028264100 1155890366004940 1177218565759432 1179269469184100 1231274520309610 1233419597871125 1256402571744500 1279585397564600 1311575032503715 1338341869901750 1381429949615660 1409622397567000 1425625035330125 1444862957506175 1471523207199290 1474086836480125 1498942894289960 1501554293060500 1599481746955750 1618246512406916 1629285754663000 1650977256857740 1684670670263000 1723784328433454 1726787437019575 1758963600442300 1794540496584500 1873678617862450 1934001929461924 1973471356593800 2013386898607000 2022808140508645 2063721571072175 2098520052005944 2102176010284700 2198704500552875 2281000056528200 2311780732009880 2358538938368200 2417502411827405 2462549040619220 2466839195742250 2512805143489000 2623150065007430 2627720012855875 2676683739803500 2762859899231320 2831931396712103 2851250070660250 2889725915012350 2943046414398580 2948173672960250 3003108586121000 3078186300774025 3198963493911500 3236493024813832 3301954513715480 3384503376558367 3447568656866908 3453574874039150 3517927200884600 3589080993169000 3678808017998225 3747357235724900 3868003858923848 4045616281017290 4127443142144350 4204352020569400 4309460821083635 4397409001105750 4684196544656125 4835004823654810 4925098081238440 4933678391484500 5246300130014860 5255440025711750 5353367479607000 5663862793424206 5702500141320500 5779451830024700 5886092828797160 5896347345920500 6033245149517089 6156372601548050 6397926987823000 6557875162518575 6769006753116734 6895137313733816 6907149748078300 7224314787530875 7357616035996450 7494714471449800 8091232562034580 8254886284288700 8618921642167270 8633937185097875 8794818002211500 9368393089312250 9670009647309620 9867356782969000 10114040702543225 10318607855360875 10492600260029720 10510880051423500 11327725586848412 11405000282641000 11558903660049400 11792694691841000 12066490299034178 12087512059137025 12312745203096100 13115750325037150 13538013506233468 13814299496156600 14159656983560515 14448629575061750 14715232071992900 15390931503870125 16182465124069160 16509772568577400 16922516882791835 17237843284334540 17267874370195750 17589636004423000 18394040089991125 18736786178624500 19340019294619240 19823519776984721 20228081405086450 20637215710721750 21021760102847000 21547304105418175 22655451173696824 24132980598068356 24175024118274050 24625490406192200 26231500650074300 27076027012466936 28319313967121030 28897259150123500 29430464143985800 30166225747585445 30781863007740250 32789375812592875 33845033765583670 34475686568669080 34535748740391500 36788080179982250 37473572357249000 39647039553969442 40456162810172900 41274431421443500 43094608210836350 48265961196136712 48350048236548100 50570203512716125 52463001300148600 56638627934242060 57794518300247000 60332451495170890 60437560295685125 61563726015480500 65578751625185750 67690067531167340 69071497480783000 70798284917802575 73576160359964500 79294079107938884 80912325620345800 82548862842887000 84612584413959175 86189216421672700 96700096473096200 99117598884923605 101140407025432250 107736520527090875 113277255868484120 120664902990341780 120875120591370250 123127452030961000 131157503250371500 135380135062334680 138764638438893047 141596569835605150 147152320719929000 150831128737927225 158588158215877768 169225168827918350 172378432843345400 198235197769847210 202280814050864500 215473041054181750 241329805980683560 241750241182740500 262315006500743000 277529276877786094 283193139671210300 301662257475854450 338450337655836700 353991424589012875 396470395539694420 404561628101729000 423062922069795875 430946082108363500 483500482365481000 495587994424618025 555058553755572188 566386279342420600 603324514951708900 676900675311673400 693823192194465235 707982849178025750 754155643689636125 792940791079388840 846125844139591750 861892164216727000 991175988849236050 1110117107511144376 1206649029903417800 1387646384388930470 1415965698356051500 1508311287379272250 1692251688279183500 1982351977698472100 2477939972123090125 2775292768777860940 2831931396712103000 3016622574758544500 3384503376558367000 3469115960972326175 3964703955396944200 4955879944246180250 5550585537555721880 6033245149517089000 6938231921944652350 9911759888492360500 13876463843889304700 17345579804861630875 19823519776984721000 27752927687778609400 34691159609723261750 69382319219446523500 138764638438893047000
- Sum of all divisors σ(n): 405922461333119265600
- Sum of proper divisors (its aliquot sum) s(n): 267157822894226218600
- 138764638438893047000 is an abundant number, because the sum of its proper divisors (267157822894226218600) is greater than itself. Its abundance is 128393184455333171600
Bases of 138764638438893047000
- Binary: 11110000101101111110000011101110100000111111011110001001100110110002
- Hexadecimal: 0x785BF07741FBC4CD8
- Base-36: TA9O6ZP6L1BDK
Squares and roots of 138764638438893047000
- 138764638438893047000 squared (1387646384388930470002) is 19255624881076713767971078704944209000000
- 138764638438893047000 cubed (1387646384388930470003) is 2671999824537563112186894277332769712771119853014823000000000
-
The
square root of 138764638438893047000 is 11779840340.1274096811 -
The
cube root of 138764638438893047000 is 5177176.0823670215 - Being both a perfect square and a perfect cube, 138764638438893047000 is also a
perfect sixth number .
Scales and comparisons
How big is 138764638438893047000?- 138,764,638,438,893,047,000 seconds is equal to 293,274,701,009 years, 3 weeks, 3 days, 15 hours, 30 minutes, 7 seconds.
-
To count from 1 to 138,764,638,438,893,047,000 would take you about two hundred ninety-three billion, two hundred seventy-four million, seven hundred one thousand and 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 138764638438893047000 cubic inches would be around 431431.3 feet tall.
Recreational maths with 138764638438893047000
- 138764638438893047000 backwards is 000740398834836467831
- 138764638438893047000 is a
Harshad number . - The number of decimal digits it has is: 21
- The sum of 138764638438893047000's digits is 92
- More coming soon!
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"Number 138764638438893047000 - Facts about the integer". Numbermatics.com. 2024. Web. 12 May 2024.
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Numbermatics. (2024). Number 138764638438893047000 - Facts about the integer. Retrieved 12 May 2024, from https://numbermatics.com/n/138764638438893047000/
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Numbermatics. 2024. "Number 138764638438893047000 - Facts about the integer". https://numbermatics.com/n/138764638438893047000/
The information we have on file for 138764638438893047000 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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