138937279889408
138,937,279,889,408 is an even composite number composed of seven prime numbers multiplied together.
138937279889408 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of one thousand, four hundred forty divisors.
Prime factorization of 138937279889408:
214 × 7 × 11 × 13 × 192 × 31 × 757
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 7 × 11 × 13 × 19 × 19 × 31 × 757)See below for interesting mathematical facts about the number 138937279889408 from the Numbermatics database.
Names of 138937279889408
- Cardinal: 138937279889408 can be written as One hundred thirty-eight trillion, nine hundred thirty-seven billion, two hundred seventy-nine million, eight hundred eighty-nine thousand, four hundred eight.
Scientific notation
- Scientific notation: 1.38937279889408 × 1014
Factors of 138937279889408
Divisors of 138937279889408
- Number of divisors d(n): 1440
-
Complete list of divisors:
1 2 4 7 8 11 13 14 16 19 22 26 28 31 32 38 44 52 56 62 64 76 77 88 91 104 112 124 128 133 143 152 154 176 182 208 209 217 224 247 248 256 266 286 304 308 341 352 361 364 403 416 418 434 448 494 496 512 532 572 589 608 616 682 704 722 728 757 806 832 836 868 896 988 992 1001 1024 1064 1144 1178 1216 1232 1364 1408 1444 1456 1463 1514 1612 1664 1672 1729 1736 1792 1976 1984 2002 2048 2128 2288 2356 2387 2432 2464 2527 2717 2728 2816 2821 2888 2912 2926 3028 3224 3328 3344 3458 3472 3584 3952 3968 3971 4004 4096 4123 4256 4433 4576 4693 4712 4774 4864 4928 5054 5299 5434 5456 5632 5642 5776 5824 5852 6056 6448 6479 6656 6688 6916 6944 7168 7657 7904 7936 7942 8008 8192 8246 8327 8512 8866 9152 9386 9424 9548 9728 9841 9856 10108 10598 10868 10912 11191 11264 11284 11552 11648 11704 12112 12896 12958 13312 13376 13832 13888 14336 14383 15314 15808 15872 15884 16016 16384 16492 16654 17024 17732 18304 18772 18848 19019 19096 19456 19682 19712 20216 21196 21736 21824 22382 22528 22568 23104 23296 23408 23467 24224 25792 25916 26624 26752 27664 27776 27797 28672 28766 30628 31031 31616 31744 31768 32032 32851 32984 33308 34048 35464 36608 37544 37696 38038 38192 38912 39364 39424 40432 42392 43472 43648 44764 45056 45136 45353 46208 46592 46816 46934 48448 51584 51623 51832 53248 53504 53599 55328 55552 55594 57344 57532 58289 61256 62062 63232 63488 63536 64064 65702 65968 66616 68096 68887 70928 73216 75088 75392 76076 76384 77824 78337 78728 78848 80864 84227 84784 86944 87296 89528 90112 90272 90706 92416 93184 93632 93868 96896 100681 103168 103246 103664 106496 107008 107198 108251 110656 111104 111188 114688 115064 116578 122512 123101 124124 126464 126976 127072 128128 131404 131936 133232 136192 137774 141856 145483 146432 150176 150784 152152 152768 155648 156674 157456 157696 158213 161728 164269 168454 169568 173888 174592 179056 180224 180544 181412 184832 186368 186979 187264 187736 193792 201362 206336 206492 207328 212992 214016 214396 216502 221312 222208 222376 230128 233156 245024 246202 248248 252928 253952 254144 256256 258137 262808 263872 266464 272384 273277 275548 283712 290966 292864 300352 301568 304304 305071 305536 311296 313348 314912 315392 316426 323456 328538 336908 339136 347776 349184 358112 361088 361361 362824 369664 372736 373958 374528 375472 387584 402724 412672 412984 414656 428032 428792 433004 442624 444416 444752 445873 460256 466312 490048 492404 496496 505856 507904 508288 512512 516274 525616 527744 532928 544768 546554 551096 567424 581932 585728 589589 600704 603136 608608 610142 611072 626696 629824 630784 632852 646912 657076 673816 678272 695552 698368 716224 722176 722722 725648 739328 745472 747916 749056 750944 757757 775168 805448 825344 825968 829312 856064 857584 861707 866008 885248 888832 889504 891746 920512 932624 980096 984808 992992 1011712 1016576 1018381 1025024 1032548 1051232 1055488 1065856 1089536 1093108 1102192 1107491 1134848 1163864 1171456 1179178 1201408 1206272 1217216 1220284 1222144 1253392 1259648 1261568 1265704 1293824 1308853 1314152 1347632 1356544 1391104 1396736 1432448 1444352 1445444 1451296 1478656 1490944 1495832 1498112 1501888 1515514 1550336 1600313 1610896 1650688 1651936 1658624 1712128 1715168 1723414 1732016 1770496 1777664 1779008 1783492 1806959 1841024 1865248 1912939 1960192 1969616 1985984 2023424 2033152 2036762 2050048 2056769 2065096 2102464 2110976 2131712 2135497 2179072 2186216 2204384 2214982 2269696 2327728 2342912 2358356 2402816 2412544 2434432 2440568 2444288 2506784 2519296 2531408 2587648 2617706 2628304 2695264 2713088 2782208 2793472 2864896 2888704 2890888 2902592 2957312 2991664 2996224 3003776 3006047 3031028 3100672 3121111 3200626 3221792 3301376 3303872 3317248 3355781 3424256 3430336 3446828 3464032 3540992 3552601 3555328 3558016 3566984 3613918 3682048 3730496 3825878 3920384 3939232 3971968 4046848 4066304 4073524 4100096 4113538 4130192 4204928 4221952 4263424 4270994 4372432 4408768 4429964 4539392 4655456 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9659826176 9691495528 10004124416 10044626944 10387057408 10436995184 10722123776 10773672448 11471043584 11870922752 11927994496 12027119104 12312768512 12334630672 12415090688 12732521984 12784070656 13109764096 13745278976 14096720768 14118207488 14282203936 14551453696 14742920192 14802608128 15181083904 15670796288 16322518784 16685154304 16849051648 16960117174 17349810176 17493991424 17507217728 17578097152 18145132544 19382991056 20008248832 20089253888 20774114816 20873990368 21444247552 21547344896 22942087168 23741845504 23855988992 24054238208 24625537024 24669261344 25465043968 25568141312 26219528192 27490557952 28193441536 28564407872 29102907392 29485840384 29605216256 30362167808 31341592576 32645037568 33698103296 33920234348 34699620352 34987982848 35014435456 35156194304 38765982112 40016497664 40178507776 41548229632 41747980736 43094689792 45884174336 47483691008 47711977984 48108476416 49251074048 49338522688 50930087936 51136282624 54981115904 56386883072 57128815744 58205814784 58971680768 60724335616 65290075136 67840468696 69399240704 70028870912 70312388608 77531964224 80032995328 80357015552 83096459264 83495961472 86189379584 91768348672 94967382016 95423955968 96216952832 98677045376 101860175872 112773766144 114257631488 117943361536 121448671232 130580150272 135680937392 138798481408 140057741824 140624777216 155063928448 160065990656 166192918528 166991922944 172378759168 183536697344 190847911936 192433905664 197354090752 203720351744 225547532288 228515262976 235886723072 242897342464 261160300544 271361874784 280115483648 281249554432 310127856896 320131981312 332385837056 333983845888 344757518336 381695823872 384867811328 394708181504 407440703488 451095064576 457030525952 485794684928 522320601088 542723749568 560230967296 562499108864 620255713792 640263962624 664771674112 667967691776 763391647744 789416363008 902190129152 914061051904 971589369856 1044641202176 1085447499136 1120461934592 1240511427584 1335935383552 1526783295488 1578832726016 1804380258304 1828122103808 2170894998272 2240923869184 2481022855168 2671870767104 3157665452032 3656244207616 4341789996544 4481847738368 4962045710336 5343741534208 6315330904064 7312488415232 8683579993088 9924091420672 10687483068416 12630661808128 17367159986176 19848182841344 34734319972352 69468639944704 138937279889408
- Sum of all divisors σ(n): 406986599190528
- Sum of proper divisors (its aliquot sum) s(n): 268049319301120
- 138937279889408 is an abundant number, because the sum of its proper divisors (268049319301120) is greater than itself. Its abundance is 129112039411712
Bases of 138937279889408
- Binary: 111111001011100110110110011011011000000000000002
- Hexadecimal: 0x7E5CDB36C000
- Base-36: 1D8YWL6WOW
Squares and roots of 138937279889408
- 138937279889408 squared (1389372798894082) is 19303567743067696672710590464
- 138937279889408 cubed (1389372798894083) is 2681985194382744467730116955833688299405312
-
The
square root of 138937279889408 is 11787165.8972548613 -
The
cube root of 138937279889408 is 51793.2222177793
Scales and comparisons
How big is 138937279889408?- 138,937,279,889,408 seconds is equal to 4,417,775 years, 38 weeks, 3 days, 2 hours, 10 minutes, 8 seconds.
-
To count from 1 to 138,937,279,889,408 would take you about eleven million, forty-four thousand, four hundred thirty-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 138937279889408 cubic inches would be around 4316.1 feet tall.
Recreational maths with 138937279889408
- 138937279889408 backwards is 804988972739831
- The number of decimal digits it has is: 15
- The sum of 138937279889408's digits is 86
- More coming soon!
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The information we have on file for 138937279889408 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 138937279889408, math, Factors of 138937279889408, curriculum, school, college, exams, university, Prime factorization of 138937279889408, STEM, science, technology, engineering, physics, economics, calculator, one hundred thirty-eight trillion, nine hundred thirty-seven billion, two hundred seventy-nine million, eight hundred eighty-nine thousand, four hundred eight.