138320058759168
138,320,058,759,168 is an even composite number composed of eight prime numbers multiplied together.
138320058759168 is an even composite number. It is composed of eight distinct prime numbers multiplied together. It has a total of one thousand, five hundred thirty-six divisors.
Prime factorization of 138320058759168:
211 × 3 × 11 × 13 × 29 × 31 × 37 × 4733
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 11 × 13 × 29 × 31 × 37 × 4733)See below for interesting mathematical facts about the number 138320058759168 from the Numbermatics database.
Names of 138320058759168
- Cardinal: 138320058759168 can be written as One hundred thirty-eight trillion, three hundred twenty billion, fifty-eight million, seven hundred fifty-nine thousand, one hundred sixty-eight.
Scientific notation
- Scientific notation: 1.38320058759168 × 1014
Factors of 138320058759168
Divisors of 138320058759168
- Number of divisors d(n): 1536
-
Complete list of divisors:
1 2 3 4 6 8 11 12 13 16 22 24 26 29 31 32 33 37 39 44 48 52 58 62 64 66 74 78 87 88 93 96 104 111 116 124 128 132 143 148 156 174 176 186 192 208 222 232 248 256 264 286 296 312 319 341 348 352 372 377 384 403 407 416 429 444 464 481 496 512 528 572 592 624 638 682 696 704 744 754 768 806 814 832 858 888 899 928 957 962 992 1023 1024 1056 1073 1131 1144 1147 1184 1209 1221 1248 1276 1364 1392 1408 1443 1488 1508 1536 1612 1628 1664 1716 1776 1798 1856 1914 1924 1984 2046 2048 2112 2146 2262 2288 2294 2368 2418 2442 2496 2552 2697 2728 2784 2816 2886 2976 3016 3072 3219 3224 3256 3328 3432 3441 3552 3596 3712 3828 3848 3968 4092 4147 4224 4292 4433 4524 4576 4588 4733 4736 4836 4884 4992 5104 5291 5394 5456 5568 5632 5772 5952 6032 6144 6438 6448 6512 6656 6864 6882 7104 7192 7424 7656 7696 7936 8184 8294 8448 8584 8866 9048 9152 9176 9466 9472 9672 9768 9889 9984 10208 10582 10788 10912 11136 11264 11544 11687 11803 11904 12064 12441 12617 12876 12896 13024 13299 13312 13728 13764 13949 14199 14208 14384 14848 14911 15312 15392 15872 15873 16368 16588 16896 17168 17732 18096 18304 18352 18932 18944 19344 19536 19778 19968 20416 21164 21576 21824 22272 22528 23088 23374 23606 23808 24128 24882 25234 25752 25792 26048 26598 26624 27456 27528 27898 28398 28416 28768 29667 29696 29822 30624 30784 31744 31746 32736 33176 33263 33792 34336 35061 35409 35464 36192 36608 36704 37851 37864 37888 38688 39072 39556 39936 40832 41847 42328 43152 43648 44544 44733 46176 46748 47212 47616 48256 49764 50468 51504 51584 52063 52096 53196 54912 55056 55796 56796 56832 57536 59334 59392 59644 61248 61529 61568 63488 63492 65472 66352 66526 67584 68672 70122 70818 70928 72384 73216 73408 75702 75728 75776 77376 78144 79112 79872 81664 83694 84656 86304 87296 89088 89466 92352 93496 94424 95232 96512 99528 99789 100936 103008 103168 104126 104192 106392 109824 110112 111592 113592 113664 115072 118668 119288 122496 123058 123136 126984 128557 130944 132704 133052 137257 137344 140244 141636 141856 144768 146432 146723 146816 151404 151456 153439 154752 156189 156288 158224 163328 164021 167388 169312 172608 174592 175121 178176 178932 184587 184704 186992 188848 190464 193024 199056 199578 201872 206016 206336 208252 208384 212784 219648 220224 223184 227184 227328 230144 237336 238576 244992 246116 246272 253968 257114 261888 265408 266104 274514 274688 280488 283272 283712 289536 292864 293446 293632 302808 302912 306878 309504 312378 312576 316448 326656 328042 334776 338624 345216 349184 350242 357864 365893 369174 369408 373984 377696 385671 386048 398112 399156 403744 411771 412032 412672 416504 416768 425568 432419 439296 440169 440448 446368 454368 460288 460317 474672 477152 489984 492063 492232 492544 507936 514228 523776 525363 530816 532208 549028 549376 560976 566544 567424 579072 586892 587264 605616 605824 613756 619008 624756 625152 632896 653312 656084 669552 676819 677248 690432 698368 700484 715728 731786 738348 738816 747968 755392 771342 772096 796224 798312 807488 823542 824064 825344 833008 833536 851136 864838 878592 880338 880896 892736 908736 920576 920634 949344 954304 979968 984126 984464 985088 1015872 1028456 1047552 1050726 1061632 1064416 1097679 1098056 1098752 1121952 1133088 1134848 1158144 1173784 1174528 1211232 1211648 1227512 1238016 1249512 1250304 1265792 1297257 1312168 1339104 1353638 1354496 1380864 1400968 1431456 1463572 1476696 1477632 1495936 1509827 1510784 1542684 1592448 1596624 1613953 1614976 1647084 1648128 1666016 1702272 1729676 1760676 1761792 1784341 1785472 1817472 1841152 1841268 1898688 1907399 1908608 1926331 1959936 1968252 1968928 2030457 2031744 2056912 2095104 2101452 2123264 2128832 2195358 2196112 2197504 2243904 2266176 2269696 2276573 2316288 2347568 2349056 2422464 2423296 2455024 2476032 2499024 2500608 2531584 2594514 2624336 2678208 2707276 2708992 2761728 2801936 2862912 2927144 2953392 2955264 2991872 3019654 3021568 3085368 3184896 3193248 3227906 3229952 3294168 3296256 3332032 3404544 3459352 3521352 3523584 3568682 3570944 3634944 3682536 3797376 3814798 3817216 3852662 3936504 3937856 4060914 4063488 4113824 4202904 4246528 4254967 4257664 4390716 4392224 4487808 4529481 4532352 4539392 4553146 4695136 4756609 4841859 4844928 4846592 4910048 4998048 5063168 5078509 5189028 5248672 5353023 5356416 5414552 5417984 5428751 5523456 5603872 5722197 5725824 5778993 5854288 5906784 5983744 6039308 6043136 6170736 6369792 6386496 6455812 6459904 6588336 6592512 6664064 6809088 6829719 6918704 7042704 7047168 7137364 7141888 7269888 7365072 7594752 7629596 7634432 7705324 7873008 7875712 8121828 8126976 8227648 8405808 8493056 8509934 8515328 8781432 8784448 8975616 9058962 9064704 9078784 9106292 9390272 9513218 9683718 9689856 9693184 9820096 9996096 10126336 10157018 10378056 10497344 10706046 10712832 10829104 10835968 10857502 11207744 11444394 11451648 11557986 11708576 11813568 11967488 12078616 12086272 12341472 12739584 12764901 12772992 12911624 12919808 13176672 13328128 13618176 13659438 13837408 14085408 14269827 14274728 14283776 14539776 14730144 15189504 15235527 15259192 15268864 15410648 15746016 15751424 16243656 16253952 16286253 16455296 16811616 17019868 17030656 17562864 17568896 17951232 18117924 18129408 18212584 18780544 19026436 19367436 19379712 19627751 19640192 19992192 20252672 20314036 20756112 20981389 20994688 21412092 21425664 21658208 21715004 22415488 22888788 22903296 23115972 23417152 23627136 23934976 24157232 24172544 24682944 25042303 25479168 25529802 25545984 25823248 25839616 26353344 26656256 27236352 27318876 27674816 28170816 28539654 28549456 28567552 29079552 29460288 30379008 30471054 30518384 30537728 30821296 31492032 31502848 32487312 32507904 32572506 32910592 33623232 34039736 34061312 35125728 35137792 35902464 36235848 36258816 36425168 37561088 38052872 38734872 38759424 39255502 39280384 39984384 40628072 41512224 41962778 41989376 42824184 42851328 43316416 43430008 44830976 45777576 45806592 46231944 46804637 46834304 47254272 48314464 49365888 50084606 51059604 51091968 51646496 52706688 53312512 54637752 55314571 55349632 55863599 56341632 57079308 57098912 58883253 58920576 59716261 60758016 60942108 61036768 61642592 62944167 62984064 63005696 64974624 65145012 65821184 66020617 67246464 68079472 68122624 70251456 70275584 70573763 71804928 72471696 72517632 72850336 75122176 75126909 76105744 77469744 77518848 78511004 78560768 79968768 81256144 83024448 83925556 83978752 85648368 85702656 86632832 86860016 89661952 91555152 91613184 92463888 93609274 93668608 94508544 96628928 98731776 100169212 102119208 102183936 103292992 105413376 106625024 109275504 110629142 110699264 111727198 112683264 114158616 114197824 117766506 117841152 119432522 121884216 122073536 123285184 125888334 125968128 126011392 129949248 130290024 131642368 132041234 134492928 136158944 140413911 140502912 140551168 141147526 144943392 145700672 150244352 150253818 152211488 154939488 157022008 157121536 157433779 159937536 162512288 165943713 166048896 167590797 167851112 167957504 171296736 173265664 173720032 179148783 179323904 183110304 184927776 187218548 187337216 189017088 193257856 197463552 198061851 200338424 204238416 204367872 206585984 210826752 211721289 218551008 221258284 221398528 223454396 225366528 228317232 228395648 235533012 235682304 238865044 243768432 244147072 246570368 251776668 251936256 259898496 260580048 263284736 264082468 268985856 272317888 280827822 281005824 281102336 282295052 289886784 291401344 300488704 300507636 304422976 309878976 314044016 314243072 314867558 319875072 325024576 331887426 332097792 335181594 335702224 335915008 342593472 346531328 347440064 358297566 358647808 366220608 369855552 374437096 374674432 378034176 386515712 394927104 396123702 400676848 408476832 413171968 421653504 423442578 437102016 442516568 442797056 446908792 450733056 456634464 456791296 471066024 471364608 472301337 477730088 487536864 488294144 493140736 503553336 503872512 519796992 521160096 528164936 537971712 544635776 561655644 562011648 564590104 579773568 582802688 601015272 608460281 608845952 619757952 628088032 629735116 650049152 663774852 664195584 670363188 671404448 685186944 693062656 694880128 716595132 726226787 732441216 739711104 748874192 749348864 773031424 776311393 789854208 792247404 801353696 816953664 826343936 843307008 846885156 874204032 885033136 885594112 893817584 901466112 913268928 913582592 942132048 942729216 944602674 955460176 975073728 976588288 986281472 1007106672 1007745024 1039593984 1042320192 1056329872 1075943424 1089271552 1123311288 1124023296 1129180208 1159547136 1165605376 1202030544 1216920562 1217691904 1239515904 1256176064 1259470232 1300098304 1327549704 1328391168 1340726376 1342808896 1370373888 1386125312 1389760256 1433190264 1452453574 1464882432 1479422208 1497748384 1546062848 1552622786 1584494808 1602707392 1633907328 1652687872 1693770312 1731771569 1748408064 1770066272 1787635168 1825380843 1826537856 1827165184 1884264096 1889205348 1910920352 1950147456 1953176576 1972562944 2014213344 2046639127 2079187968 2084640384 2112659744 2178543104 2178680361 2246622576 2248046592 2258360416 2319094272 2328934179 2331210752 2404061088 2433841124 2435383808 2479031808 2512352128 2518940464 2600196608 2655099408 2656782336 2681452752 2685617792 2740747776 2779520512 2866380528 2904907148 2929764864 2958844416 2995496768 3092125696 3105245572 3168989616 3205414784 3267814656 3305375744 3387540624 3463543138 3496816128 3540132544 3575270336 3650761686 3653075712 3654330368 3768528192 3778410696 3821840704 3900294912 3906353152 3945125888 4028426688 4093278254 4158375936 4169280768 4225319488 4357086208 4357360722 4493245152 4516720832 4638188544 4657868358 4662421504 4808122176 4867682248 4870767616 4958063616 5024704256 5037880928 5195314707 5200393216 5310198816 5362905504 5371235584 5481495552 5559041024 5732761056 5809814296 5859529728 5917688832 5990993536 6139917381 6210491144 6337979232 6410829568 6535629312 6775081248 6927086276 6993632256 7080265088 7150540672 7301523372 7306151424 7537056384 7556821392 7643681408 7800589824 8056853376 8186556508 8338561536 8450638976 8714172416 8714721444 8986490304 9033441664 9276377088 9315736716 9616244352 9735364496 9741535232 9916127232 10049408512 10075761856 10390629414 10400786432 10620397632 10725811008 10742471168 10962991104 11118082048 11465522112 11619628592 11719059456 11835377664 11981987072 12279834762 12420982288 12675958464 12821659136 13071258624 13550162496 13854172552 13987264512 14160530176 14301081344 14603046744 14612302848 15074112768 15113642784 15287362816 15601179648 16113706752 16373113016 16677123072 16901277952 17429442888 17972980608 18066883328 18631473432 19232488704 19470728992 20098817024 20151523712 20781258828 21240795264 21451622016 21484942336 22513030397 22931044224 23239257184 23963974144 24559669524 24841964576 25351916928 25643318272 26142517248 27100324992 27708345104 28321060352 28602162688 29206093488 29224605696 30148225536 30227285568 30574725632 31202359296 32227413504 32746226032 33354246144 33802555904 34858885776 35945961216 36133766656 37262946864 38464977408 38941457984 40197634048 40303047424 41562517656 42481590528 42903244032 42969884672 45026060794 45862088448 46478514368 47927948288 49119339048 49683929152 50703833856 51286636544 54200649984 55416690208 56642120704 57204325376 58412186976 60296451072 60454571136 61149451264 64454827008 65492452064 67539091191 67605111808 69717771552 71891922432 72267533312 74525893728 76929954816 77882915968 80606094848 83125035312 84963181056 85806488064 90052121588 91724176896 92957028736 95855896576 98238678096 99367858304 101407667712 108401299968 110833380416 113284241408 114408650752 116824373952 120592902144 120909142272 122298902528 128909654016 130984904128 135078182382 135210223616 139435543104 143783844864 144535066624 149051787456 153859909632 155765831936 161212189696 166250070624 169926362112 171612976128 180104243176 183448353792 185914057472 196477356192 198735716608 202815335424 216802599936 221666760832 233648747904 241818284544 261969808256 270156364764 278871086208 287567689728 298103574912 311531663872 322424379392 332500141248 339852724224 343225952256 360208486352 366896707584 371828114944 392954712384 397471433216 405630670848 433605199872 443333521664 467297495808 483636569088 523939616512 540312729528 557742172416 596207149824 623063327744 665000282496 720416972704 743656229888 785909424768 794942866432 886667043328 934594991616 967273138176 1047879233024 1080625459056 1115484344832 1192414299648 1246126655488 1330000564992 1440833945408 1487312459776 1571818849536 1589885732864 1773334086656 1869189983232 2095758466048 2161250918112 2230968689664 2384828599296 2660001129984 2881667890816 3143637699072 3546668173312 3738379966464 4191516932096 4322501836224 4461937379328 4769657198592 5320002259968 5763335781632 6287275398144 8645003672448 10640004519936 11526671563264 12574550796288 17290007344896 23053343126528 34580014689792 46106686253056 69160029379584 138320058759168
- Sum of all divisors σ(n): 475232641228800
- Sum of proper divisors (its aliquot sum) s(n): 336912582469632
- 138320058759168 is an abundant number, because the sum of its proper divisors (336912582469632) is greater than itself. Its abundance is 198592523710464
Bases of 138320058759168
- Binary: 111110111001101001001011111011110111000000000002
- Hexadecimal: 0x7DCD25F7B800
- Base-36: 1D13CVO0LC
Squares and roots of 138320058759168
- 138320058759168 squared (1383200587591682) is 19132438655139688159824052224
- 138320058759168 cubed (1383200587591683) is 2646400038985098853313862954336015070789632
-
The
square root of 138320058759168 is 11760954.8404527087 -
The
cube root of 138320058759168 is 51716.4121951631
Scales and comparisons
How big is 138320058759168?- 138,320,058,759,168 seconds is equal to 4,398,150 years, 6 days, 12 minutes, 48 seconds.
-
To count from 1 to 138,320,058,759,168 would take you about ten million, nine hundred ninety-five thousand, three hundred seventy-five 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 138320058759168 cubic inches would be around 4309.7 feet tall.
Recreational maths with 138320058759168
- 138320058759168 backwards is 861957850023831
- 138320058759168 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 138320058759168's digits is 66
- More coming soon!
Link to this page
HTML: To link to this page, just copy and paste the link below into your blog, web page or email.
BBCODE: To link to this page in a forum post or comment box, just copy and paste the link code below:
Cite this page
MLA style:
"Number 138320058759168 - Facts about the integer". Numbermatics.com. 2024. Web. 8 June 2024.
APA style:
Numbermatics. (2024). Number 138320058759168 - Facts about the integer. Retrieved 8 June 2024, from https://numbermatics.com/n/138320058759168/
Chicago style:
Numbermatics. 2024. "Number 138320058759168 - Facts about the integer". https://numbermatics.com/n/138320058759168/
The information we have on file for 138320058759168 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 138320058759168, math, Factors of 138320058759168, curriculum, school, college, exams, university, Prime factorization of 138320058759168, STEM, science, technology, engineering, physics, economics, calculator, one hundred thirty-eight trillion, three hundred twenty billion, fifty-eight million, seven hundred fifty-nine thousand, one hundred sixty-eight.