138376517830824
138,376,517,830,824 is an even composite number composed of seven prime numbers multiplied together.
What does the number 138376517830824 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 1296 divisors.
138376517830824 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of one thousand, two hundred ninety-six divisors.
Prime factorization of 138376517830824:
23 × 3 × 72 × 132 × 312 × 412 × 431
(2 × 2 × 2 × 3 × 7 × 7 × 13 × 13 × 31 × 31 × 41 × 41 × 431)See below for interesting mathematical facts about the number 138376517830824 from the Numbermatics database.
Names of 138376517830824
- Cardinal: 138376517830824 can be written as One hundred thirty-eight trillion, three hundred seventy-six billion, five hundred seventeen million, eight hundred thirty thousand, eight hundred twenty-four.
Scientific notation
- Scientific notation: 1.38376517830824 × 1014
Factors of 138376517830824
Divisors of 138376517830824
- Number of divisors d(n): 1296
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Complete list of divisors:
1 2 3 4 6 7 8 12 13 14 21 24 26 28 31 39 41 42 49 52 56 62 78 82 84 91 93 98 104 123 124 147 156 164 168 169 182 186 196 217 246 248 273 287 294 312 328 338 364 372 392 403 431 434 492 507 533 546 574 588 637 651 676 728 744 806 861 862 868 961 984 1014 1066 1092 1148 1176 1183 1209 1271 1274 1293 1302 1352 1519 1599 1612 1681 1722 1724 1736 1911 1922 2009 2028 2132 2184 2296 2366 2418 2542 2548 2586 2604 2821 2883 3017 3038 3198 3224 3362 3444 3448 3549 3731 3813 3822 3844 4018 4056 4264 4557 4732 4836 5043 5084 5096 5172 5208 5239 5603 5642 5766 6027 6034 6076 6396 6724 6727 6888 6929 7098 7462 7626 7644 7688 8036 8281 8463 8897 9051 9114 9464 9672 10086 10168 10344 10478 11193 11206 11284 11532 11767 12054 12068 12152 12493 12792 13361 13448 13454 13858 14196 14924 15252 15288 15717 16072 16523 16562 16809 16926 17671 17794 18102 18228 19747 20172 20181 20787 20956 21119 21853 22386 22412 22568 23064 23534 24108 24136 24843 24986 26117 26691 26722 26908 27716 28392 29848 30504 31434 33046 33124 33618 33852 35301 35342 35588 36204 36456 36673 37479 39221 39401 39494 40083 40344 40362 41574 41912 42238 43706 44772 44824 47068 47089 48216 48503 49569 49686 49972 52111 52234 53013 53382 53444 53816 55432 59241 62279 62868 63357 65559 66092 66248 67236 67704 70602 70684 71176 72408 72839 73346 74958 78351 78442 78802 78988 80166 80724 82369 83148 84476 87412 87451 89544 93527 94136 94178 97006 99138 99372 99944 104222 104468 106026 106764 106888 110019 115661 117663 118203 118482 123697 124558 125736 126714 131118 132184 134472 141204 141267 141368 145509 145678 146692 149916 152971 156333 156702 156884 157604 157976 160332 161448 162409 164738 166296 168952 173693 174824 174902 186837 187054 188356 194012 198276 198744 208444 208936 212052 213528 214799 218517 220038 229723 231322 235326 236406 236964 247107 247394 249116 253428 256711 262236 262353 274547 275807 280581 282408 282534 284089 291018 291356 293384 299832 305942 312666 313404 313768 315208 320664 324818 329476 339521 346983 347386 349804 364777 371091 373674 374108 376712 388024 396552 414191 416888 424104 429598 437034 440076 458913 459446 462644 470652 472812 473928 487227 494214 494788 498232 506856 509873 512213 513422 521079 524472 524706 547801 549094 551614 561162 565068 568178 582036 582712 611884 612157 625332 626808 644397 649636 654689 658952 677443 679042 689169 693966 694772 699608 724511 729554 742182 747348 748216 770133 809627 823641 827421 828382 852267 859196 865879 874068 880152 917826 918892 925288 941304 945624 974454 988428 989576 1018563 1019746 1024426 1026844 1042158 1049412 1070797 1094331 1095602 1098188 1103228 1122324 1130136 1136356 1136863 1164072 1215851 1223768 1224314 1242573 1250664 1288794 1299272 1309378 1354886 1358084 1378338 1387932 1389544 1449022 1459108 1484364 1494696 1503593 1529619 1536639 1540266 1608061 1615441 1619254 1643403 1647282 1654842 1656764 1704534 1718392 1731758 1748136 1835652 1836471 1837784 1930649 1948908 1964067 1976856 1988623 2032329 2037126 2039492 2048852 2053688 2084316 2098824 2141594 2173533 2188662 2191204 2196376 2206456 2244648 2258009 2272712 2273726 2428881 2431702 2448628 2485146 2553439 2577588 2597637 2618756 2709772 2716168 2756676 2775864 2898044 2899337 2918216 2968728 2986399 3007186 3059238 3073278 3080532 3212391 3216122 3230882 3238508 3286806 3294564 3309684 3313528 3409068 3410589 3463516 3569111 3585491 3647553 3671304 3672942 3834607 3861298 3897816 3928134 3977246 4064658 4074252 4078984 4097704 4168632 4283188 4347066 4377324 4382408 4510779 4516018 4547452 4742101 4824183 4846323 4857762 4863404 4897256 4970292 5071577 5106878 5155176 5195274 5237512 5384483 5419544 5513352 5791947 5796088 5798674 5965869 5972798 6014372 6118476 6146556 6161064 6424782 6432244 6461764 6477016 6573612 6589128 6619368 6658769 6774027 6818136 6821178 6927032 7121413 7138222 7170982 7295106 7345884 7660317 7669214 7722596 7856268 7954492 7958041 8129316 8148504 8510957 8566376 8694132 8698011 8754648 8806759 8959197 9021558 9032036 9094904 9418643 9484202 9648366 9692646 9715524 9726808 9940584 10143154 10213756 10390548 10525151 10707333 10756473 10768966 11256427 11308087 11503821 11583894 11597348 11931738 11945596 12028744 12236952 12293112 12849564 12864488 12923528 13147224 13317538 13548054 13642356 13920361 14226303 14242826 14276444 14341964 14590212 14691768 15214731 15320634 15338428 15445192 15712536 15806063 15908984 15916082 16153449 16258632 16981831 17021914 17388264 17396022 17613518 17918394 18043116 18064072 18837286 18968404 19296732 19385292 19431048 19976307 20286308 20295359 20427512 20781096 20904793 21000733 21050302 21364239 21414666 21512946 21537932 22459841 22512854 22616174 23007642 23167788 23194696 23863476 23874123 23891192 25098437 25532871 25699128 26420277 26635076 26842249 27096108 27284712 27840722 28255929 28452606 28485652 28552888 28683928 29180424 30429462 30641268 30676856 31575453 31612126 31832164 32306898 33194707 33769281 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126301812 126448504 129227592 131861002 132778828 134759046 135077124 135697044 135854648 139834149 139996558 142004156 146333551 147005131 149549673 150590622 150765524 157218887 158313218 159810456 161053494 162362872 167044332 167238344 168005864 170913912 179678728 184941939 185156738 186445532 189672756 190992984 197791503 199168242 199399564 200787496 203781972 204262968 209994837 211362216 213006234 214737992 220763803 221284882 226047432 226148286 237469827 237745634 243544308 244884718 246589252 250857516 252008796 252603624 263722004 263839667 265557656 269518092 270154248 271394088 273009529 277735107 279668298 279993116 284008312 291977933 292667102 294010262 299099346 301181244 301531048 314437774 316626436 322106988 326279681 331927323 334088664 348949237 356618451 367327077 369883878 370313476 372891064 379345512 395583006 398336484 398799128 407563944 419989674 426012468 431531191 439000653 441015393 441527606 442569764 452296572 461513507 471656661 474939654 475491268 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10817426347 11076324168 11387139387 11466400218 11479717756 11759710872 11999351182 12263073186 12348431004 12362772968 13206386508 13377466921 13609020243 13719662684 14306918717 14621356491 15182852516 15288533624 15553165992 16350764248 16710121704 17219576634 17999026773 18102631846 18145360324 18544159452 19495141988 19970633256 20089506073 20570316312 20579494026 21634852694 22774278774 22932800436 22959435512 23998702364 24526146372 24696862008 26412773016 26569991903 26754933842 27153947769 27218040486 27439325368 28613837434 29242712982 30365705032 32452279041 34116498479 34439153268 35998053546 36205263692 36290720648 37088318904 38990283976 40132400763 40179012146 41158988052 42920756151 43269705388 45548557548 45865600872 47997404728 49052292744 53139983806 53509867684 54307895538 54436080972 57227674868 58485425964 60268518219 63359211461 64904558082 68232996958 68878306536 71996107092 72410527384 79709975709 80264801526 80358024292 82317976104 85841512302 86539410776 91097115096 102349495437 106279967612 107019735368 108615791076 108872161944 114455349736 116970851928 117667106999 120537036438 126718422922 129809116164 136465993916 140626542511 143992214184 159419951418 160529603052 160716048584 171683024604 185989943321 190077634383 204698990874 212559935224 217231582152 235334213998 241074072876 253436845844 259618232328 272931987832 281253085022 318839902836 321059206104 343366049208 353001320997 371979886642 380155268766 409397981748 421879627533 443514480227 470668427996 482148145752 506873691688 557969829963 562506170044 637679805672 706002641994 743959773284 760310537532 818795963496 823669748993 843759255066 887028960454 941336855992 1115939659926 1125012340088 1330543440681 1412005283988 1487919546568 1520621075064 1647339497986 1687518510132 1774057920908 2231879319852 2471009246979 2661086881362 2824010567976 3294678995972 3375037020264 3548115841816 4463758639704 4942018493958 5322173762724 5765688242951 6589357991944 9884036987916 10644347525448 11531376485902 17297064728853 19768073975832 23062752971804 34594129457706 46125505943608 69188258915412 138376517830824
- Sum of all divisors σ(n): 462589178057280
- Sum of proper divisors (its aliquot sum) s(n): 324212660226456
- 138376517830824 is an abundant number, because the sum of its proper divisors (324212660226456) is greater than itself. Its abundance is 185836142395632
Bases of 138376517830824
- Binary: 111110111011010010010110011000011001000101010002
- Hexadecimal: 0x7DDA4B30C8A8
- Base-36: 1D1TALXV3C
Squares and roots of 138376517830824
- 138376517830824 squared (1383765178308242) is 19148060686984352410284518976
- 138376517830824 cubed (1383765178308243) is 2649641961078190292238814321841511785716224
-
The
square root of 138376517830824 is 11763354.8714141919 -
The
cube root of 138376517830824 is 51723.4477219569
Scales and comparisons
How big is 138376517830824?- 138,376,517,830,824 seconds is equal to 4,399,945 years, 12 weeks, 3 days, 11 hours, 40 minutes, 24 seconds.
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To count from 1 to 138,376,517,830,824 would take you about ten million, nine hundred ninety-nine thousand, eight hundred sixty-three 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 138376517830824 cubic inches would be around 4310.3 feet tall.
Recreational maths with 138376517830824
- 138376517830824 backwards is 428038715673831
- The number of decimal digits it has is: 15
- The sum of 138376517830824's digits is 66
- More coming soon!
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"Number 138376517830824 - Facts about the integer". Numbermatics.com. 2024. Web. 22 June 2024.
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Numbermatics. (2024). Number 138376517830824 - Facts about the integer. Retrieved 22 June 2024, from https://numbermatics.com/n/138376517830824/
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The information we have on file for 138376517830824 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 138376517830824, math, Factors of 138376517830824, curriculum, school, college, exams, university, Prime factorization of 138376517830824, STEM, science, technology, engineering, physics, economics, calculator, one hundred thirty-eight trillion, three hundred seventy-six billion, five hundred seventeen million, eight hundred thirty thousand, eight hundred twenty-four.