138168679290926944
138,168,679,290,926,944 is an even composite number composed of eight prime numbers multiplied together.
What does the number 138168679290926944 look like?
This visualization shows the relationship between its 8 prime factors (large circles) and 1152 divisors.
138168679290926944 is an even composite number. It is composed of eight distinct prime numbers multiplied together. It has a total of one thousand, one hundred fifty-two divisors.
Prime factorization of 138168679290926944:
25 × 112 × 37 × 41 × 61 × 67 × 127 × 45319
(2 × 2 × 2 × 2 × 2 × 11 × 11 × 37 × 41 × 61 × 67 × 127 × 45319)See below for interesting mathematical facts about the number 138168679290926944 from the Numbermatics database.
Names of 138168679290926944
- Cardinal: 138168679290926944 can be written as One hundred thirty-eight quadrillion, one hundred sixty-eight trillion, six hundred seventy-nine billion, two hundred ninety million, nine hundred twenty-six thousand, nine hundred forty-four.
Scientific notation
- Scientific notation: 1.38168679290926944 × 1017
Factors of 138168679290926944
Divisors of 138168679290926944
- Number of divisors d(n): 1152
-
Complete list of divisors:
1 2 4 8 11 16 22 32 37 41 44 61 67 74 82 88 121 122 127 134 148 164 176 242 244 254 268 296 328 352 407 451 484 488 508 536 592 656 671 737 814 902 968 976 1016 1072 1184 1312 1342 1397 1474 1517 1628 1804 1936 1952 2032 2144 2257 2479 2501 2684 2747 2794 2948 3034 3256 3608 3872 4064 4087 4477 4514 4699 4958 4961 5002 5207 5368 5494 5588 5896 6068 6512 7216 7381 7747 8107 8174 8509 8954 9028 9398 9916 9922 10004 10414 10736 10988 11176 11792 12136 13024 14432 14762 15367 15494 16214 16348 16687 17018 17908 18056 18796 19832 19844 20008 20828 21472 21976 22352 23584 24272 24827 27269 27511 29524 30217 30734 30988 32428 32696 33374 34036 35816 36112 37592 39664 39688 40016 41656 43952 44704 44957 45319 48544 49654 51689 54538 55022 57277 59048 60434 61468 61976 64856 65392 66748 68072 71632 72224 75184 79328 79376 80032 83312 85217 87904 89914 90638 92537 93599 99308 101639 103378 109076 110044 114554 118096 120868 122936 123952 129712 130784 133496 136144 143264 150368 151219 158752 166624 167567 170434 179828 181276 183557 185074 187198 192659 198616 203278 206756 218152 220088 229108 236192 241736 245872 247904 259424 266992 272288 273097 286639 299959 302438 302621 314833 317627 332387 335134 340868 348869 359656 362552 367114 370148 374396 385318 397232 406556 413512 436304 440176 458216 483472 491744 494527 498509 519049 533984 546194 568579 573278 599918 604876 605242 629666 630047 635254 664774 670268 681736 697738 719312 725104 734228 740296 748792 770636 794464 813112 827024 872608 880352 916432 937387 966944 989054 997018 1017907 1029589 1038098 1092388 1118029 1137158 1146556 1199836 1209752 1210484 1259332 1260094 1270508 1329548 1340536 1363472 1395476 1438624 1450208 1468456 1480592 1497584 1541272 1626224 1654048 1663409 1676803 1832864 1843237 1858079 1874774 1978108 1994036 2035814 2059178 2076196 2119249 2184776 2236058 2274316 2293112 2399672 2419504 2420968 2518664 2520188 2541016 2659096 2681072 2726944 2764459 2790952 2936912 2961184 2995168 3036373 3082544 3153029 3252448 3326818 3353606 3463163 3493897 3686474 3716158 3749548 3837559 3956216 3988072 4071628 4118356 4152392 4238498 4369552 4472116 4548632 4586224 4799344 4839008 4841936 5037328 5040376 5082032 5318192 5362144 5483599 5528918 5581904 5709539 5755513 5873824 6072746 6165088 6199979 6306058 6653636 6707212 6926326 6987794 7372948 7432316 7499096 7675118 7912432 7976144 8143256 8236712 8304784 8476996 8739104 8944232 9097264 9172448 9598688 9683872 10074656 10080752 10164064 10636384 10967198 11057836 11163808 11196977 11419078 11511026 11752199 12145492 12298319 12399958 12612116 12908153 13307272 13414424 13852652 13975588 14745896 14864632 14998192 15350236 15824864 15952288 16286512 16473424 16609568 16953992 17888464 18194528 18297499 18444833 19204813 20161504 20275607 20438869 21281009 21934396 22115672 22393954 22838156 23022052 23311739 23504398 24290984 24596638 24799916 25224232 25816306 26614544 26828848 27705304 27951176 29491792 29729264 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207843085456 217501470736 219299003552 219431697584 228286667632 228424799944 230312608208 241015143248 243007003936 252966307376 258750597941 266195829856 277163861216 279395623072 280976848301 285784242502 301536129884 313894167994 316679836286 334134630412 339851531624 347828672642 358583505808 369044218664 373279551128 376364506096 381100309172 384168981724 396047454176 405343650008 412278907216 415686170912 435002941472 438863395168 456573335264 456849599888 460625216416 482030286496 505932614752 507435800663 517501195882 532597906481 557347518761 561953696602 571568485004 584984585807 603072259768 627788335988 633359672572 668269260824 679703063248 695657345284 717167011616 738088437328 746559102256 752729012192 762200618344 768337963448 810687300016 824557814432 829224357181 870342920347 913699199776 918870233633 964434046871 1014871601326 1035002391764 1056464699741 1065195812962 1114695037522 1123907393204 1143136970008 1169969171614 1206144519536 1255576671976 1266719345144 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9573772123817 10608774515581 11385026309404 11717153942582 12362981325244 12574506670088 12869660887754 13267589714896 13811343391736 13925486725552 13933912796584 14701923738128 15304461596248 15430944749936 16237945621216 16903435195856 17043133007392 17835120600352 18719506745824 19147544247634 21217549031162 22770052618808 23434307885164 24725962650488 25149013340176 25739321775508 26535179429792 27622686783472 27850973451104 27867825593168 29403847476256 30608923192496 30861889499872 33806870391712 33998198644421 35684059734227 38295088495268 42435098062324 45540105237616 46868615770328 49451925300976 50298026680352 51478643551016 55245373566944 55735651186336 61217846384992 64444346684201 67996397288842 70783134882647 71368119468454 76590176990536 84870196124648 91080210475232 93737231540656 98903850601952 102957287102032 105311493361987 116696519671391 128888693368402 135992794577684 141566269765294 142736238936908 153180353981072 169740392249296 187474463081312 205914574204064 210622986723974 233393039342782 257777386736804 271985589155368 283132539530588 285472477873816 306360707962144 339480784498592 392524657076497 421245973447948 466786078685564 515554773473608 543971178310736 566265079061176 570944955747632 785049314152994 842491946895896 933572157371128 1031109546947216 1087942356621472 1132530158122352 1141889911495264 1570098628305988 1684983893791792 1867144314742256 2062219093894432 2265060316244704 3140197256611976 3369967787583584 3734288629484512 4317771227841467 6280394513223952 8635542455682934 12560789026447904 17271084911365868 34542169822731736 69084339645463472 138168679290926944
- Sum of all divisors σ(n): 327058582750986240
- Sum of proper divisors (its aliquot sum) s(n): 188889903460059296
- 138168679290926944 is an abundant number, because the sum of its proper divisors (188889903460059296) is greater than itself. Its abundance is 50721224169132352
Bases of 138168679290926944
- Binary: 1111010101101111110101110100010000011100001110111011000002
- Hexadecimal: 0x1EADFAE88387760
- Base-36: 11SGPJ008GV4
Squares and roots of 138168679290926944
- 138168679290926944 squared (1381686792909269442) is 19090583936999024160612438745179136
- 138168679290926944 cubed (1381686792909269443) is 2637720769467739636527519122418960812003504769040384
-
The
square root of 138168679290926944 is 371710477.7793154219 -
The
cube root of 138168679290926944 is 516975.3891250155
Scales and comparisons
How big is 138168679290926944?- 138,168,679,290,926,944 seconds is equal to 4,393,336,617 years, 34 weeks, 4 days, 4 hours, 9 minutes, 4 seconds.
-
To count from 1 to 138,168,679,290,926,944 would take you about thirteen billion, one hundred eighty million, nine thousand, eight hundred fifty-two 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 138168679290926944 cubic inches would be around 43081.3 feet tall.
Recreational maths with 138168679290926944
- 138168679290926944 backwards is 449629092976861831
- The number of decimal digits it has is: 18
- The sum of 138168679290926944's digits is 94
- More coming soon!
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"Number 138168679290926944 - Facts about the integer". Numbermatics.com. 2024. Web. 25 June 2024.
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Numbermatics. (2024). Number 138168679290926944 - Facts about the integer. Retrieved 25 June 2024, from https://numbermatics.com/n/138168679290926944/
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The information we have on file for 138168679290926944 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 138168679290926944, math, Factors of 138168679290926944, curriculum, school, college, exams, university, Prime factorization of 138168679290926944, STEM, science, technology, engineering, physics, economics, calculator, one hundred thirty-eight quadrillion, one hundred sixty-eight trillion, six hundred seventy-nine billion, two hundred ninety million, nine hundred twenty-six thousand, nine hundred forty-four.