138744100274688
138,744,100,274,688 is an even composite number composed of five prime numbers multiplied together.
What does the number 138744100274688 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 960 divisors.
138744100274688 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of nine hundred sixty divisors.
Prime factorization of 138744100274688:
29 × 35 × 23 × 473 × 467
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 23 × 47 × 47 × 47 × 467)See below for interesting mathematical facts about the number 138744100274688 from the Numbermatics database.
Names of 138744100274688
- Cardinal: 138744100274688 can be written as One hundred thirty-eight trillion, seven hundred forty-four billion, one hundred million, two hundred seventy-four thousand, six hundred eighty-eight.
Scientific notation
- Scientific notation: 1.38744100274688 × 1014
Factors of 138744100274688
Divisors of 138744100274688
- Number of divisors d(n): 960
-
Complete list of divisors:
1 2 3 4 6 8 9 12 16 18 23 24 27 32 36 46 47 48 54 64 69 72 81 92 94 96 108 128 138 141 144 162 184 188 192 207 216 243 256 276 282 288 324 368 376 384 414 423 432 467 486 512 552 564 576 621 648 736 752 768 828 846 864 934 972 1081 1104 1128 1152 1242 1269 1296 1401 1472 1504 1536 1656 1692 1728 1863 1868 1944 2162 2208 2209 2256 2304 2484 2538 2592 2802 2944 3008 3243 3312 3384 3456 3726 3736 3807 3888 4203 4324 4416 4418 4512 4608 4968 5076 5184 5589 5604 5888 6016 6486 6624 6627 6768 6912 7452 7472 7614 7776 8406 8648 8832 8836 9024 9729 9936 10152 10368 10741 11178 11208 11421 11776 12032 12609 12972 13248 13254 13536 13824 14904 14944 15228 15552 16812 17296 17664 17672 18048 19458 19872 19881 20304 20736 21482 21949 22356 22416 22842 24064 25218 25944 26496 26508 27072 29187 29808 29888 30456 31104 32223 33624 34592 35328 35344 36096 37827 38916 39744 39762 40608 41472 42964 43898 44712 44832 45684 50436 50807 51888 52992 53016 54144 58374 59616 59643 59776 60912 62208 64446 65847 67248 69184 70688 72192 75654 77832 79488 79524 81216 85928 87561 87796 89424 89664 91368 96669 100872 101614 103776 103823 105984 106032 108288 113481 116748 119232 119286 119552 121824 124416 128892 131694 134496 138368 141376 151308 152421 155664 158976 159048 162432 171856 175122 175592 178848 178929 179328 182736 193338 197541 201744 203228 207552 207646 212064 216576 226962 233496 238464 238572 239104 243648 257784 262683 263388 268992 276736 282752 290007 302616 304842 311328 311469 317952 318096 324864 343712 350244 351184 357696 357858 358656 365472 386676 395082 403488 406456 415104 415292 424128 453924 457263 466992 476928 477144 487296 504827 515568 525366 526776 536787 537984 553472 565504 580014 592623 605232 609684 622656 622938 636192 649728 687424 700488 702368 715392 715716 717312 730944 773352 790164 806976 812912 830208 830584 848256 870021 907848 914526 933984 934407 953856 954288 974592 1009654 1031136 1031603 1050732 1053552 1073574 1075968 1131008 1160028 1185246 1210464 1219368 1245312 1245876 1272384 1371789 1374848 1400976 1404736 1430784 1431432 1461888 1514481 1546704 1580328 1613952 1625824 1660416 1661168 1696512 1740042 1777869 1815696 1829052 1867968 1868814 1908576 1949184 2019308 2062272 2063206 2101464 2107104 2147148 2151936 2320056 2370492 2387929 2420928 2438736 2490624 2491752 2544768 2610063 2743578 2749696 2801952 2803221 2809472 2861568 2862864 2923776 3028962 3093408 3094809 3160656 3227904 3251648 3322336 3393024 3480084 3555738 3631392 3658104 3735936 3737628 3817152 4038616 4115367 4124544 4126412 4202928 4214208 4294296 4543443 4640112 4740984 4775858 4841856 4877472 4981248 4983504 5089536 5220126 5333607 5487156 5499392 5603904 5606442 5618944 5725728 5847552 6057924 6186816 6189618 6321312 6455808 6503296 6644672 6960168 7111476 7163787 7262784 7316208 7471872 7475256 7634304 8077232 8230734 8249088 8252824 8405856 8409663 8428416 8588592 9086886 9280224 9284427 9481968 9551716 9683712 9754944 9967008 10179072 10440252 10667214 10974312 11207808 11212884 11237888 11451456 12115848 12346101 12373632 12379236 12642624 13006592 13289344 13630329 13920336 14222952 14327574 14525568 14632416 14943744 14950512 15268608 16154464 16461468 16498176 16505648 16811712 16819326 16856832 17177184 18173772 18560448 18568854 18963936 19103432 19367424 19509888 19934016 20880504 21334428 21491361 21948624 22415616 22425768 22902912 23726869 24231696 24692202 24747264 24758472 25228989 25285248 26013184 26578688 27260658 27840672 27853281 28445904 28655148 29051136 29264832 29901024 30537216 32308928 32922936 33011296 33623424 33638652 33713664 34354368 36347544 37120896 37137708 37927872 38206864 39019776 39868032 40890987 41761008 42668856 42982722 43897248 44831232 44851536 45805824 47453738 48463392 48485341 49384404 49494528 49516944 50457978 50570496 53157376 54521316 55681344 55706562 56891808 57310296 58102272 58529664 59802048 64474083 64617856 65845872 66022592 67246848 67277304 68708736 71180607 72695088 74241792 74275416 75855744 76413728 78039552 79736064 81781974 83522016 83559843 85337712 85965444 87794496 89703072 91611648 94907476 96926784 96970682 98768808 99033888 100915956 101140992 109042632 111362688 111413124 113783616 114620592 117059328 119604096 122672961 128948166 129235712 131691744 132045184 134493696 134554608 137417472 142361214 145390176 145456023 148483584 148550832 151711488 152827456 159472128 163563948 167044032 167119686 170675424 171930888 175588992 179406144 189814952 193422249 193853568 193941364 197537616 198067776 201831912 213541821 218085264 222725376 222826248 227567232 229241184 234118656 239208192 245345922 250679529 257896332 258471424 263383488 264090368 269109216 274834944 284722428 290780352 290912046 297101664 303422976 305654912 327127896 334088064 334239372 341350848 343861776 351177984 358812288 379629904 386844498 387707136 387882728 395075232 396135552 403663824 427083642 436170528 436368069 445450752 445652496 455134464 458482368 478416384 490691844 501359058 515792664 526766976 528180736 538218432 569444856 580266747 581560704 581824092 594203328 611309824 640625463 654255792 668176128 668478744 682701696 687723552 702355968 717624576 759259808 773688996 775414272 775765456 790150464 792271104 807327648 854167284 872341056 872736138 891304992 910268928 916964736 981383688 1002718116 1031585328 1053533952 1076436864 1115162843 1138889712 1160533494 1163121408 1163648184 1188406656 1222619648 1281250926 1308511584 1309104207 1336352256 1336957488 1365403392 1375447104 1435249152 1518519616 1547377992 1551530912 1580300928 1584542208 1614655296 1708334568 1744682112 1745472276 1782609984 1833929472 1921876389 1962767376 2005436232 2063170656 2107067904 2152873728 2230325686 2277779424 2321066988 2326242816 2327296368 2376813312 2562501852 2617023168 2618208414 2673914976 2730806784 2750894208 3037039232 3094755984 3103061824 3160601856 3229310592 3345488529 3416669136 3489364224 3490944552 3565219968 3667858944 3843752778 3925534752 3927312621 4010872464 4126341312 4305747456 4460651372 4555558848 4642133976 4654592736 4753626624 5125003704 5234046336 5236416828 5347829952 5501788416 5765629167 6074078464 6189511968 6206123648 6321203712 6458621184 6690977058 6833338272 6978728448 6981889104 7130439936 7687505556 7851069504 7854625242 8021744928 8252682624 8921302744 9111117696 9284267952 9309185472 10036465587 10250007408 10468092672 10472833656 10695659904 11003576832 11531258334 11781937863 12148156928 12379023936 12412247296 12917242368 13381954116 13666676544 13963778208 14260879872 15375011112 15702139008 15709250484 16043489856 16505365248 17842605488 18222235392 18568535904 18618370944 20072931174 20500014816 20936185344 20945667312 21391319808 23062516668 23563875726 24758047872 24824494592 26763908232 27333353088 27927556416 30109396761 30750022224 31404278016 31418500968 32086979712 33010730496 35685210976 36444470784 37137071808 37236741888 40145862348 41000029632 41891334624 42782639616 46125033336 47127751452 49516095744 53527816464 54666706176 55855112832 60218793522 61500044448 62808556032 62837001936 64173959424 71370421952 74274143616 74473483776 80291724696 82000059264 83782669248 90328190283 92250066672 94255502904 99032191488 107055632928 109333412352 111710225664 120437587044 123000088896 125674003872 128347918848 142740843904 148548287232 160583449392 164000118528 167565338496 180656380566 184500133344 188511005808 214111265856 223420451328 240875174088 246000177792 251348007744 270984570849 285481687808 297096574464 321166898784 328000237056 335130676992 361312761132 369000266688 377022011616 428222531712 481750348176 492000355584 502696015488 541969141698 570963375616 642333797568 670261353984 722625522264 738000533376 754044023232 856445063424 963500696352 984000711168 1005392030976 1083938283396 1284667595136 1445251044528 1476001066752 1508088046464 1712890126848 1927001392704 2010784061952 2167876566792 2569335190272 2890502089056 2952002133504 3016176092928 3854002785408 4335753133584 5138670380544 5781004178112 6032352185856 7708005570816 8671506267168 11562008356224 15416011141632 17343012534336 23124016712448 34686025068672 46248033424896 69372050137344 138744100274688
- Sum of all divisors σ(n): 443677722808320
- Sum of proper divisors (its aliquot sum) s(n): 304933622533632
- 138744100274688 is an abundant number, because the sum of its proper divisors (304933622533632) is greater than itself. Its abundance is 166189522258944
Bases of 138744100274688
- Binary: 111111000101111111000001100111111000010000000002
- Hexadecimal: 0x7E2FE0CFC200
- Base-36: 1D6I5R1C00
Squares and roots of 138744100274688
- 138744100274688 squared (1387441002746882) is 19249925361032678757053497344
- 138744100274688 cubed (1387441002746883) is 2670813574571377582307850603263181478428672
-
The
square root of 138744100274688 is 11778968.5573350607 -
The
cube root of 138744100274688 is 51769.2065000333
Scales and comparisons
How big is 138744100274688?- 138,744,100,274,688 seconds is equal to 4,411,633 years, 11 weeks, 4 days, 22 hours, 4 minutes, 48 seconds.
-
To count from 1 to 138,744,100,274,688 would take you about eleven million, twenty-nine thousand and eighty-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 138744100274688 cubic inches would be around 4314.1 feet tall.
Recreational maths with 138744100274688
- 138744100274688 backwards is 886472001447831
- The number of decimal digits it has is: 15
- The sum of 138744100274688's digits is 63
- More coming soon!
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The information we have on file for 138744100274688 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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