138877852704768
138,877,852,704,768 is an even composite number composed of five prime numbers multiplied together.
138877852704768 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of seven hundred fifty-six divisors.
Prime factorization of 138877852704768:
213 × 32 × 192 × 79 × 2572
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 19 × 19 × 79 × 257 × 257)See below for interesting mathematical facts about the number 138877852704768 from the Numbermatics database.
Names of 138877852704768
- Cardinal: 138877852704768 can be written as One hundred thirty-eight trillion, eight hundred seventy-seven billion, eight hundred fifty-two million, seven hundred four thousand, seven hundred sixty-eight.
Scientific notation
- Scientific notation: 1.38877852704768 × 1014
Factors of 138877852704768
Divisors of 138877852704768
- Number of divisors d(n): 756
-
Complete list of divisors:
1 2 3 4 6 8 9 12 16 18 19 24 32 36 38 48 57 64 72 76 79 96 114 128 144 152 158 171 192 228 237 256 257 288 304 316 342 361 384 456 474 512 514 576 608 632 684 711 722 768 771 912 948 1024 1028 1083 1152 1216 1264 1368 1422 1444 1501 1536 1542 1824 1896 2048 2056 2166 2304 2313 2432 2528 2736 2844 2888 3002 3072 3084 3249 3648 3792 4096 4112 4332 4503 4608 4626 4864 4883 5056 5472 5688 5776 6004 6144 6168 6498 7296 7584 8192 8224 8664 9006 9216 9252 9728 9766 10112 10944 11376 11552 12008 12288 12336 12996 13509 14592 14649 15168 16448 17328 18012 18432 18504 19456 19532 20224 20303 21888 22752 23104 24016 24576 24672 25992 27018 28519 29184 29298 30336 32896 34656 36024 36864 37008 38912 39064 40448 40606 43776 43947 45504 46208 48032 49344 51984 54036 57038 58368 58596 60672 60909 65792 66049 69312 72048 73728 74016 77824 78128 80896 81212 85557 87552 87894 91008 92416 92777 96064 98688 103968 108072 114076 116736 117192 121344 121818 131584 132098 138624 144096 148032 155648 156256 161792 162424 171114 175104 175788 182016 182727 184832 185554 192128 197376 198147 207936 216144 228152 233472 234384 242688 243636 256671 263168 264196 277248 278331 288192 296064 312512 323584 324848 342228 350208 351576 364032 365454 369664 371108 384256 385757 394752 396294 415872 432288 456304 466944 468768 485376 487272 513342 526336 528392 554496 556662 576384 592128 594441 625024 647168 649696 684456 700416 703152 728064 730908 739328 742216 768512 771514 789504 792588 831744 834993 864576 912608 937536 970752 974544 1026684 1052672 1056784 1108992 1113324 1152768 1157271 1184256 1188882 1250048 1254931 1299392 1368912 1400832 1406304 1456128 1461816 1478656 1484432 1537024 1543028 1579008 1585176 1663488 1669986 1729152 1825216 1875072 1941504 1949088 2053368 2105344 2113568 2217984 2226648 2305536 2314542 2368512 2377764 2500096 2509862 2598784 2737824 2812608 2912256 2923632 2957312 2968864 3074048 3086056 3158016 3170352 3326976 3339972 3458304 3471813 3650432 3750144 3764793 3898176 4106736 4227136 4435968 4453296 4611072 4629084 4737024 4755528 5000192 5019724 5197568 5217871 5475648 5625216 5824512 5847264 5937728 6148096 6172112 6316032 6340704 6653952 6679944 6916608 6943626 7300864 7329383 7500288 7529586 7796352 8213472 8454272 8871936 8906592 9222144 9258168 9474048 9511056 10000384 10039448 10395136 10435742 10951296 11250432 11294379 11694528 11875456 12296192 12344224 12681408 13307904 13359888 13833216 13887252 14601728 14658766 15000576 15059172 15592704 15653613 16426944 16908544 17813184 18444288 18516336 18948096 19022112 20000768 20078896 20790272 20871484 21902592 21988149 22500864 22588758 23389056 23750912 23843689 24688448 25362816 26615808 26719776 27666432 27774504 29203456 29317532 30001152 30118344 31185408 31307226 32853888 33817088 35626368 36888576 37032672 38044224 40001536 40157792 41580544 41742968 43805184 43976298 45001728 45177516 46778112 46960839 47501824 47687378 49376896 50725632 53439552 55332864 55549008 58406912 58635064 60002304 60236688 62370816 62614452 65707776 65964447 67634176 71252736 71531067 74065344 76088448 80315584 83161088 83485936 87610368 87952596 90003456 90355032 93556224 93921678 95003648 95374756 98753792 99139549 101451264 106879104 110665728 111098016 116813824 117270128 120004608 120473376 124741632 125228904 131415552 131928894 135268352 142505472 143062134 148130688 152176896 160631168 166322176 166971872 175220736 175905192 180006912 180710064 187112448 187843356 190007296 190749512 197507584 198279098 202902528 213758208 214593201 222196032 233627648 234540256 240946752 249483264 250457808 262831104 263857788 270536704 285010944 286124268 296261376 297418647 304353792 321262336 333943744 350441472 351810384 360013824 361420128 374224896 375686712 380014592 381499024 395015168 396558196 405805056 427516416 429186402 444392064 469080512 481893504 498966528 500915616 525662208 527715576 541073408 570021888 572248536 592522752 594837294 608707584 642524672 667887488 700882944 703620768 722840256 748449792 751373424 760029184 762998048 790030336 793116392 811610112 855032832 858372804 888784128 892255941 938161024 963787008 1001831232 1051324416 1055431152 1140043776 1144497072 1185045504 1189674588 1217415168 1285049344 1335774976 1407241536 1445680512 1496899584 1502746848 1525996096 1580060672 1586232784 1623220224 1710065664 1716745608 1777568256 1784511882 1876322048 1883651431 1927574016 2003662464 2102648832 2110862304 2280087552 2288994144 2370091008 2379349176 2434830336 2570098688 2671549952 2814483072 2891361024 3005493696 3051992192 3160121344 3172465568 3420131328 3433491216 3555136512 3569023764 3752644096 3767302862 3855148032 4007324928 4221724608 4577988288 4740182016 4758698352 4869660672 5140197376 5343099904 5628966144 5650954293 5782722048 6010987392 6103984384 6344931136 6840262656 6866982432 7110273024 7138047528 7505288192 7534605724 7710296064 8014649856 8443449216 9155976576 9480364032 9517396704 10280394752 10686199808 11257932288 11301908586 11565444096 12021974784 12207968768 12689862272 13733964864 14220546048 14276095056 15010576384 15069211448 15420592128 16029299712 16886898432 16952862879 18311953152 19034793408 21372399616 22515864576 22603817172 23130888192 24043949568 24415937536 25379724544 27467929728 28441092096 28552190112 30021152768 30138422896 30841184256 32058599424 33773796864 33905725758 36623906304 38069586816 42744799232 45031729152 45207634344 46261776384 48087899136 48831875072 50759449088 54935859456 57104380224 60042305536 60276845792 64117198848 67547593728 67811451516 73247812608 76139173632 90063458304 90415268688 92523552768 96175798272 97663750144 101518898176 109871718912 114208760448 120553691584 128234397696 135095187456 135622903032 146495625216 152278347264 180126916608 180830537376 192351596544 195327500288 203037796352 219743437824 228417520896 241107383168 270190374912 271245806064 292991250432 304556694528 361661074752 384703193088 406075592704 439486875648 456835041792 482214766336 540380749824 542491612128 585982500864 609113389056 723322149504 812151185408 878973751296 913670083584 964429532672 1084983224256 1218226778112 1446644299008 1757947502592 1827340167168 1928859065344 2169966448512 2436453556224 2893288598016 3654680334336 3857718130688 4339932897024 5786577196032 7309360668672 7715436261376 8679865794048 11573154392064 15430872522752 17359731588096 23146308784128 34719463176192 46292617568256 69438926352384 138877852704768
- Sum of all divisors σ(n): 430438515895440
- Sum of proper divisors (its aliquot sum) s(n): 291560663190672
- 138877852704768 is an abundant number, because the sum of its proper divisors (291560663190672) is greater than itself. Its abundance is 152682810485904
Bases of 138877852704768
- Binary: 111111001001111000001010001001111100000000000002
- Hexadecimal: 0x7E4F0513E000
- Base-36: 1D87LRS3K0
Squares and roots of 138877852704768
- 138877852704768 squared (1388778527047682) is 19287057971887236493369933824
- 138877852704768 cubed (1388778527047683) is 2678545196128077063146252539818607569272832
-
The
square root of 138877852704768 is 11784644.7848362405 -
The
cube root of 138877852704768 is 51785.8367166295
Scales and comparisons
How big is 138877852704768?- 138,877,852,704,768 seconds is equal to 4,415,886 years, 7 weeks, 1 day, 10 hours, 52 minutes, 48 seconds.
-
To count from 1 to 138,877,852,704,768 would take you about eleven million, thirty-nine thousand, seven 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 138877852704768 cubic inches would be around 4315.5 feet tall.
Recreational maths with 138877852704768
- 138877852704768 backwards is 867407258778831
- The number of decimal digits it has is: 15
- The sum of 138877852704768's digits is 81
- More coming soon!
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The information we have on file for 138877852704768 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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