138264376556800
138,264,376,556,800 is an even composite number composed of seven prime numbers multiplied together.
138264376556800 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of eight hundred sixty-four divisors.
Prime factorization of 138264376556800:
28 × 52 × 13 × 43 × 113 × 127 × 2693
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 13 × 43 × 113 × 127 × 2693)See below for interesting mathematical facts about the number 138264376556800 from the Numbermatics database.
Names of 138264376556800
- Cardinal: 138264376556800 can be written as One hundred thirty-eight trillion, two hundred sixty-four billion, three hundred seventy-six million, five hundred fifty-six thousand, eight hundred.
Scientific notation
- Scientific notation: 1.382643765568 × 1014
Factors of 138264376556800
Divisors of 138264376556800
- Number of divisors d(n): 864
-
Complete list of divisors:
1 2 4 5 8 10 13 16 20 25 26 32 40 43 50 52 64 65 80 86 100 104 113 127 128 130 160 172 200 208 215 226 254 256 260 320 325 344 400 416 430 452 508 520 559 565 635 640 650 688 800 832 860 904 1016 1040 1075 1118 1130 1270 1280 1300 1376 1469 1600 1651 1664 1720 1808 2032 2080 2150 2236 2260 2540 2600 2693 2752 2795 2825 2938 3175 3200 3302 3328 3440 3616 4064 4160 4300 4472 4520 4859 5080 5200 5386 5461 5504 5590 5650 5876 6350 6400 6604 6880 7232 7345 8128 8255 8320 8600 8944 9040 9718 10160 10400 10772 10922 11008 11180 11300 11752 12700 13208 13465 13760 13975 14351 14464 14690 16256 16510 16640 17200 17888 18080 19436 20320 20800 21544 21844 22360 22600 23504 24295 25400 26416 26930 27305 27520 27950 28702 28928 29380 32512 33020 34400 35009 35776 36160 36725 38872 40640 41275 41600 43088 43688 44720 45200 47008 48590 50800 52832 53860 54610 55040 55900 57404 58760 63167 66040 67325 68800 70018 70993 71552 71755 72320 73450 77744 81280 82550 83200 86176 87376 89440 90400 94016 97180 101600 105664 107720 109220 111800 114808 115799 117520 121475 126334 132080 134650 136525 137600 140036 141986 143104 143510 144640 146900 155488 162560 165100 172352 174752 175045 178880 180800 186563 188032 194360 203200 211328 215440 218440 223600 229616 231598 235040 242950 252668 264160 269300 273050 275200 280072 283972 287020 293800 304309 310976 315835 330200 342011 344704 349504 350090 354965 357760 358775 361600 373126 376064 388720 406400 422656 430880 436880 447200 459232 463196 470080 485900 505336 528320 538600 546100 560144 567944 574040 578995 587600 608618 617093 621952 631670 660400 684022 689408 699008 700180 709930 715520 717550 723200 746252 777440 812800 861760 873760 875225 894400 918464 926392 932815 940160 971800 1010672 1056640 1077200 1092200 1120288 1135888 1148080 1157990 1175200 1217236 1234186 1243904 1263340 1320800 1368044 1398016 1400360 1419860 1435100 1492504 1505387 1521545 1554880 1579175 1710055 1723520 1747520 1750450 1774825 1788800 1836928 1852784 1865630 1880320 1943600 2021344 2113280 2154400 2184400 2240576 2271776 2296160 2315980 2350400 2434472 2468372 2526680 2641600 2736088 2800720 2839720 2870200 2894975 2985008 3010774 3043090 3085465 3109760 3158350 3420110 3447040 3495040 3500900 3549650 3577600 3673856 3705568 3731260 3887200 3956017 4042688 4308800 4368800 4446143 4481152 4543552 4592320 4631960 4664075 4700800 4868944 4936744 5053360 5283200 5472176 5601440 5679440 5740400 5789950 5970016 6021548 6086180 6170930 6219520 6316700 6840220 6990080 7001800 7099300 7411136 7462520 7526935 7607725 7774400 7912034 8022209 8085376 8550275 8617600 8737600 8892286 8962304 9087104 9184640 9263920 9328150 9401600 9737888 9873488 10106720 10566400 10944352 11202880 11358880 11480800 11579900 11940032 12043096 12172360 12341860 12633400 13085287 13680440 14003600 14198600 14706473 14822272 14925040 15053870 15215450 15427325 15548800 15824068 16044418 16170752 17100550 17235200 17475200 17784572 18174208 18369280 18527840 18656300 19475776 19746976 19780085 20213440 21888704 22230715 22405760 22717760 22961600 23159800 23880064 24086192 24344720 24683720 25266800 26170574 27360880 28007200 28397200 29412946 29644544 29850080 30107740 30430900 30854650 31097600 31648136 32088836 34201100 34950400 35569144 37055680 37312600 37634675 38647243 38951552 39493952 39560170 40111045 40426880 43777408 44461430 44811520 45435520 45923200 46319600 47760128 48172384 48689440 49367440 50533600 52341148 54721760 56014400 56794400 58825892 59700160 60215480 60861800 61709300 63296272 64177672 65426435 68402200 71138288 73532365 74111360 74625200 75269350 77294486 77903104 78987904 79120340 80222090 80853760 87554816 88922860 90871040 91846400 92639200 96344768 97378880 98734880 98900425 101067200 104682296 109443520 111153575 112028800 113588800 117651784 119400320 120430960 121723600 123418600 126592544 128355344 130852870 136804400 142276576 147064730 148222720 149250400 150538700 154588972 157975808 158240680 160444180 170108731 177845720 185278400 191184149 192689536 193236215 194757760 197469760 197800850 200555225 202134400 209364592 218887040 222307150 224057600 227177600 235303568 238800640 240861920 243447200 246837200 253185088 256710688 261705740 273608800 284553152 294129460 298500800 301077400 309177944 316481360 320888360 327132175 340217462 355691440 367661825 370556800 382368298 385379072 386472430 389515520 394939520 395601700 401110450 404268800 418729184 437774080 444614300 454355200 470607136 481723840 486894400 493674400 502414159 506370176 513421376 523411480 547217600 569106304 588258920 597001600 602154800 618355888 632962720 641776720 654264350 680434924 711382880 735323650 741113600 764736596 772944860 789879040 791203400 802220900 837458368 850543655 889228600 941214272 955920745 963447680 966181075 973788800 987348800 1004828318 1012740352 1026842752 1046822960 1094435200 1138212608 1176517840 1194003200 1204309600 1236711776 1265925440 1283553440 1308528700 1360869848 1422765760 1470647300 1529473192 1545889720 1582406800 1604441800 1661831449 1674916736 1701087310 1778457200 1882428544 1911841490 1926895360 1932362150 1947577600 1974697600 2009656636 2053685504 2093645920 2188870400 2353035680 2408619200 2473423552 2512070795 2531850880 2567106880 2617057400 2721739696 2845531520 2941294600 3058946384 3091779440 3164813600 3208883600 3323662898 3349833472 3402174620 3556914400 3764857088 3823682980 3864724300 3949395200 4019313272 4187291840 4252718275 4706071360 4779603725 4817238400 4946847104 5024141590 5063701760 5134213760 5234114800 5443479392 5691063040 5882589200 6117892768 6183558880 6329627200 6417767200 6647325796 6804349240 7113828800 7647365960 7729448600 8038626544 8309157245 8374583680 8505436550 9412142720 9559207450 9634476800 9893694208 10048283180 10268427520 10468229600 10886958784 11765178400 12235785536 12367117760 12560353975 12659254400 12835534400 13294651592 13608698480 14227657600 15294731920 15458897200 16077253088 16618314490 16749167360 17010873100 18824285440 19118414900 20096566360 20936459200 21603808837 21773917568 23530356800 24471571072 24734235520 25120707950 25318508800 25671068800 26589303184 27217396960 28455315200 30589463840 30917794400 32154506176 33236628980 34021746200 38236829800 40193132720 41545786225 41872918400 43207617674 43547835136 47060713600 48943142144 49468471040 50241415900 51342137600 53178606368 54434793920 61178927680 61835588800 64309012352 66473257960 68043492400 76473659600 80386265440 83091572450 83745836800 86415235348 94121427200 100482831800 106357212736 108019044185 108869587840 122357855360 123671177600 128618024704 132946515920 136086984800 152947319200 160772530880 166183144900 172830470696 200965663600 212714425472 216038088370 217739175680 244715710720 247342355200 265893031840 272173969600 305894638400 321545061760 332366289800 345660941392 401931327200 425428850944 432076176740 531786063680 540095220925 544347939200 611789276800 643090123520 664732579600 691321882784 803862654400 864152353480 1063572127360 1080190441850 1088695878400 1223578553600 1329465159200 1382643765568 1607725308800 1728304706960 2127144254720 2160380883700 2658930318400 2765287531136 3215450617600 3456609413920 4320761767400 5317860636800 5530575062272 6913218827840 8641523534800 10635721273600 13826437655680 17283047069600 27652875311360 34566094139200 69132188278400 138264376556800
- Sum of all divisors σ(n): 383597456191488
- Sum of proper divisors (its aliquot sum) s(n): 245333079634688
- 138264376556800 is an abundant number, because the sum of its proper divisors (245333079634688) is greater than itself. Its abundance is 107068703077888
Bases of 138264376556800
- Binary: 111110111000000001011110000110010111101000000002
- Hexadecimal: 0x7DC02F0CBD00
- Base-36: 1D0DRZX69S
Squares and roots of 138264376556800
- 138264376556800 squared (1382643765568002) is 19117037824640585423626240000
- 138264376556800 cubed (1382643765568003) is 2643205316436694628632255694701330432000000
-
The
square root of 138264376556800 is 11758587.3537938221 -
The
cube root of 138264376556800 is 51709.4716008689
Scales and comparisons
How big is 138264376556800?- 138,264,376,556,800 seconds is equal to 4,396,379 years, 25 weeks, 5 days, 1 hour, 46 minutes, 40 seconds.
-
To count from 1 to 138,264,376,556,800 would take you about ten million, nine hundred ninety thousand, nine hundred forty-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 138264376556800 cubic inches would be around 4309.1 feet tall.
Recreational maths with 138264376556800
- 138264376556800 backwards is 008655673462831
- 138264376556800 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 138264376556800's digits is 64
- More coming soon!
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The information we have on file for 138264376556800 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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