138993860349344
138,993,860,349,344 is an even composite number composed of six prime numbers multiplied together.
138993860349344 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of eight hundred sixty-four divisors.
Prime factorization of 138993860349344:
25 × 7 × 112 × 13 × 192 × 1033
(2 × 2 × 2 × 2 × 2 × 7 × 11 × 11 × 13 × 19 × 19 × 103 × 103 × 103)See below for interesting mathematical facts about the number 138993860349344 from the Numbermatics database.
Names of 138993860349344
- Cardinal: 138993860349344 can be written as One hundred thirty-eight trillion, nine hundred ninety-three billion, eight hundred sixty million, three hundred forty-nine thousand, three hundred forty-four.
Scientific notation
- Scientific notation: 1.38993860349344 × 1014
Factors of 138993860349344
Divisors of 138993860349344
- Number of divisors d(n): 864
-
Complete list of divisors:
1 2 4 7 8 11 13 14 16 19 22 26 28 32 38 44 52 56 76 77 88 91 103 104 112 121 133 143 152 154 176 182 206 208 209 224 242 247 266 286 304 308 352 361 364 412 416 418 484 494 532 572 608 616 721 722 728 824 836 847 968 988 1001 1064 1133 1144 1232 1339 1442 1444 1456 1463 1573 1648 1672 1694 1729 1936 1957 1976 2002 2128 2266 2288 2299 2464 2527 2678 2717 2884 2888 2912 2926 3146 3296 3344 3388 3458 3872 3914 3952 3971 4004 4256 4532 4576 4598 4693 5054 5356 5434 5768 5776 5852 6292 6688 6776 6916 7828 7904 7931 7942 8008 9064 9196 9373 9386 10108 10609 10712 10868 11011 11536 11552 11704 12463 12584 13552 13699 13832 14729 15656 15862 15884 16016 16093 18128 18392 18746 18772 19019 20216 21218 21424 21527 21736 22022 23072 23408 24926 25168 25441 27104 27398 27664 27797 29458 29887 31312 31724 31768 32032 32186 32851 36256 36784 37183 37492 37544 38038 40432 42436 42848 43054 43472 43681 44044 46816 49852 50336 50882 51623 54796 55328 55594 58916 59774 62624 63448 63536 64372 65702 73568 74263 74366 74984 75088 76076 80864 84872 86108 86944 87241 87362 88088 99704 101764 103103 103246 109592 111188 116699 117832 119548 126896 127072 128744 131404 137917 148526 148732 149968 150176 150689 152152 162019 169744 172216 174482 174724 176176 178087 199408 201571 203528 206206 206492 209209 219184 222376 233398 235664 236797 239096 253792 257488 260281 262808 275834 279851 297052 297464 299936 301378 304304 305767 324038 339488 344432 348964 349448 352352 356174 361361 398816 403142 407056 409013 412412 412984 418418 438368 444752 466796 471328 473594 478192 483379 514976 520562 525616 551668 559702 567853 594104 594928 602756 608608 611534 648076 688864 697928 698896 712348 722722 806284 814112 816893 818026 824824 825968 836836 889504 933592 947188 956384 965419 966758 1041124 1051232 1092727 1103336 1119404 1134133 1135706 1188208 1189856 1205512 1223068 1283689 1296152 1395856 1397792 1410997 1424696 1445444 1517087 1612568 1633786 1636052 1649648 1651936 1657579 1673672 1867184 1894376 1930838 1933516 1958957 2082248 2185454 2206672 2217281 2238808 2268266 2271412 2376416 2411024 2446136 2567378 2592304 2620423 2791712 2821994 2849392 2863091 2890888 3034174 3078361 3225136 3267572 3272104 3299296 3315158 3347344 3383653 3734368 3788752 3829849 3861676 3867032 3917914 3974971 4164496 4370908 4413344 4434562 4477616 4499143 4536532 4542824 4822048 4892272 5134756 5184608 5240846 5317169 5643988 5698784 5726182 5781776 6068348 6156722 6450272 6535144 6544208 6630316 6694688 6767306 7577504 7649089 7659698 7723352 7734064 7835828 7949942 8328992 8741816 8869124 8955232 8985823 8998286 9073064 9085648 9784544 10269512 10481692 10619609 10634338 11287976 11452364 11563552 12019997 12136696 12313444 13070288 13088416 13260632 13534612 14205451 15298178 15319396 15446704 15468128 15520967 15671656 15899884 16687957 17483632 17738248 17971646 17996572 18146128 18171296 18342961 20539024 20761813 20963384 21239218 21268676 21548527 22575952 22904728 24039994 24273392 24390091 24626888 26140576 26521264 26808943 27069224 28410902 28824653 30596356 30638792 30893408 31041934 31343312 31494001 31799768 33375914 34967264 35476496 35943292 35993144 36292256 36685922 37220183 41078048 41523626 41926768 42128339 42478436 42537352 43097054 45151904 45809456 48079988 48546784 48780182 49253776 49788037 53042528 53617886 54138448 56821804 57649306 58488859 61192712 61277584 62083868 62686624 62988002 63599536 66751828 70952992 71886584 71986288 73371844 74440366 83047252 83853536 84139979 84256678 84956872 85074704 86194108 91618912 96159976 97560364 98507552 99438157 99576074 107235772 108276896 113643608 115298612 116815699 116977718 122385424 122555168 124167736 125976004 127199072 132219967 133503656 143773168 143972576 145332691 146743688 148880732 156259961 166094504 168279958 168513356 169913744 170149408 170730637 172388216 192319952 195120728 198876314 199152148 201772571 214471544 227287216 228379943 230597224 233631398 233955436 244770848 248335472 251952008 264439934 267007312 269903569 287546336 290665382 293487376 294898373 297761464 312519922 317071183 332189008 336559916 337026712 339827488 341461274 344776432 348516259 384639904 390241456 394474447 397752628 398304296 403545142 409422013 428943088 454574432 456759886 461194448 463411729 467262796 467910872 496670944 503904016 528879868 534014624 539807138 547668407 581330764 586974752 589796746 595522928 625039844 634142366 664378016 673119832 674053424 682922548 689552864 697032518 780482912 788948894 795505256 796608592 807090284 818844026 857886176 913519772 922388896 925539769 926823458 934525592 935821744 1007808032 1057759736 1079614276 1093819727 1095336814 1162661528 1179593492 1191045856 1250079688 1268284732 1346239664 1348106848 1365845096 1394065036 1577897788 1591010512 1593217184 1598659601 1614180568 1637688052 1718859571 1827039544 1851079538 1853646916 1869051184 1871643488 1889324983 2115519472 2159228552 2187639454 2190673628 2219498281 2325323056 2359186984 2500159376 2512179373 2536569464 2692479328 2731690192 2761321129 2788130072 2968939259 3155795576 3182021024 3197319202 3228361136 3243882103 3275376104 3437719142 3654079088 3702159076 3707293832 3738102368 3778649966 3833678849 4231038944 4318457104 4339218917 4375278908 4381347256 4438996562 4650646112 4718373968 5000318752 5024358746 5073138928 5128167811 5463380384 5522642258 5576260144 5937878518 6024352477 6311591152 6394638404 6456722272 6487764206 6550752208 6875438284 7308158176 7404318152 7414587664 7557299932 7667357698 8636914208 8678437834 8750557816 8762694512 8877993124 9436747936 10048717492 10146277856 10256335622 11045284516 11152520288 11875757036 12032016997 12048704954 12623182304 12789276808 12975528412 13101504416 13750876568 14808636304 14829175328 15114599864 15334715396 17356875668 17501115632 17525389024 17585255611 17755986248 20097434984 20512671244 20782574813 22090569032 23751514072 24064033994 24097409908 25578553616 25951056824 27501753136 29617272608 30229199728 30374532419 30669430792 32658331849 34713751336 35002231264 35170511222 35511972496 35897174677 40194869968 41025342488 41565149626 42170467339 44181138064 47503028144 47731408087 48128067988 48194819816 51157107232 51902113648 55003506272 56409845921 60458399456 60749064838 61338861584 65316663698 69427502672 70341022444 71023944992 71794349354 80389739936 82050684976 83130299252 84340934678 88362276128 95006056288 95462816174 96256135976 96389639632 103804227296 112819691842 121498129676 122677723168 130633327396 138855005344 140682044888 143588698708 164101369952 166260598504 168681869356 190925632348 192512271952 192779279264 225639383684 228608322943 242996259352 261266654792 281364089776 287177397416 332521197008 334119856609 337363738712 381851264696 385024543904 394868921447 451278767368 457216645886 485992518704 522533309584 562728179552 574354794832 620508305131 665042394016 668239713218 674727477424 763702529392 789737842894 902557534736 914433291772 971985037408 1045066619168 1148709589664 1241016610262 1336479426436 1349454954848 1527405058784 1579475685788 1805115069472 1828866583544 2482033220524 2672958852872 3158951371576 3657733167088 4343558135917 4964066441048 5345917705744 6317902743152 7315466334176 8687116271834 9928132882096 10691835411488 12635805486304 17374232543668 19856265764192 34748465087336 69496930174672 138993860349344
- Sum of all divisors σ(n): 394533524286720
- Sum of proper divisors (its aliquot sum) s(n): 255539663937376
- 138993860349344 is an abundant number, because the sum of its proper divisors (255539663937376) is greater than itself. Its abundance is 116545803588032
Bases of 138993860349344
- Binary: 111111001101010000001111010110000001101101000002
- Hexadecimal: 0x7E6A07AC0DA0
- Base-36: 1D9OWBQIZK
Squares and roots of 138993860349344
- 138993860349344 squared (1389938603493442) is 19319293214812942177721230336
- 138993860349344 cubed (1389938603493443) is 2685263143147739180073892280483582450499584
-
The
square root of 138993860349344 is 11789565.7404903595 -
The
cube root of 138993860349344 is 51800.2519764013
Scales and comparisons
How big is 138993860349344?- 138,993,860,349,344 seconds is equal to 4,419,574 years, 42 weeks, 5 days, 12 hours, 35 minutes, 44 seconds.
-
To count from 1 to 138,993,860,349,344 would take you about eleven million, forty-eight thousand, nine hundred thirty-seven 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 138993860349344 cubic inches would be around 4316.7 feet tall.
Recreational maths with 138993860349344
- 138993860349344 backwards is 443943068399831
- The number of decimal digits it has is: 15
- The sum of 138993860349344's digits is 74
- More coming soon!
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The information we have on file for 138993860349344 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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