138364869081600
138,364,869,081,600 is an even composite number composed of seven prime numbers multiplied together.
138364869081600 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of two thousand, eight hundred eighty divisors.
Prime factorization of 138364869081600:
29 × 33 × 52 × 72 × 31 × 53 × 4973
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 5 × 5 × 7 × 7 × 31 × 53 × 4973)See below for interesting mathematical facts about the number 138364869081600 from the Numbermatics database.
Names of 138364869081600
- Cardinal: 138364869081600 can be written as One hundred thirty-eight trillion, three hundred sixty-four billion, eight hundred sixty-nine million, eighty-one thousand, six hundred.
Scientific notation
- Scientific notation: 1.383648690816 × 1014
Factors of 138364869081600
Divisors of 138364869081600
- Number of divisors d(n): 2880
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Complete list of divisors:
1 2 3 4 5 6 7 8 9 10 12 14 15 16 18 20 21 24 25 27 28 30 31 32 35 36 40 42 45 48 49 50 53 54 56 60 62 63 64 70 72 75 80 84 90 93 96 98 100 105 106 108 112 120 124 126 128 135 140 144 147 150 155 159 160 168 175 180 186 189 192 196 200 210 212 216 217 224 225 240 245 248 252 256 265 270 279 280 288 294 300 310 315 318 320 336 350 360 371 372 378 384 392 400 420 424 432 434 441 448 450 465 477 480 490 496 504 512 525 530 540 558 560 576 588 600 620 630 636 640 651 672 675 700 720 735 742 744 756 768 775 784 795 800 837 840 848 864 868 882 896 900 930 945 954 960 980 992 1008 1050 1060 1080 1085 1113 1116 1120 1152 1176 1200 1225 1240 1260 1272 1280 1302 1323 1325 1344 1350 1395 1400 1431 1440 1470 1484 1488 1512 1519 1536 1550 1568 1575 1590 1600 1643 1674 1680 1696 1728 1736 1764 1792 1800 1855 1860 1890 1908 1920 1953 1960 1984 2016 2100 2120 2160 2170 2205 2226 2232 2240 2304 2325 2352 2385 2400 2450 2480 2520 2544 2560 2597 2604 2646 2650 2688 2700 2790 2800 2862 2880 2940 2968 2976 3024 3038 3100 3136 3150 3180 3200 3255 3286 3339 3348 3360 3392 3456 3472 3528 3584 3600 3675 3710 3720 3780 3816 3840 3906 3920 3968 3975 4032 4185 4200 4240 4320 4340 4410 4452 4464 4480 4557 4608 4650 4704 4725 4770 4800 4900 4929 4960 4973 5040 5088 5194 5208 5292 5300 5376 5400 5425 5565 5580 5600 5724 5760 5859 5880 5936 5952 6048 6076 6200 6272 6300 6360 6400 6510 6572 6615 6678 6696 6720 6784 6912 6944 6975 7056 7155 7200 7350 7420 7440 7560 7595 7632 7680 7791 7812 7840 7936 7950 8064 8215 8370 8400 8480 8640 8680 8820 8904 8928 8960 9114 9275 9300 9408 9450 9540 9600 9765 9800 9858 9920 9946 10017 10080 10176 10388 10416 10584 10600 10752 10800 10850 11025 11130 11160 11200 11448 11501 11520 11718 11760 11872 11904 11925 12096 12152 12400 12544 12600 12720 12800 12985 13020 13144 13230 13356 13392 13440 13568 13671 13824 13888 13950 14112 14310 14400 14700 14787 14840 14880 14919 15120 15190 15264 15582 15624 15680 15872 15900 16128 16275 16430 16695 16740 16800 16960 17280 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13073022400 13283877600 13319683200 13597176600 13726673520 13813004800 13911609600 13948071480 14035795200 14118864192 14169469440 14413007196 14503655040 14641785088 14707150200 14877942912 14918045184 15181574400 15442507710 15497857200 15539630400 15687626880 15940653120 16014452440 16316611920 16472008224 16531047680 16842954240 17158341900 17404386048 17435089350 17648580240 17711836800 17759577600 18016258995 18129568800 18217889280 18302231360 18597428640 18647556480 18825152256 19217342928 19338206720 19609533600 19837257216 19925816400 20018065550 20395764900 20590010280 20663809600 20719507200 20916835840 21053692800 21254204160 21619510794 21755482560 21962677632 22060725300 22316914368 22772361600 22877789200 23246785800 23309445600 23531440320 23615782400 24021678660 24172758400 24708012336 24796571520 24863408640 25505044992 25623123904 25737512850 26106579072 26146044800 26567755200 26639366400 27194353200 27453347040 27823219200 27896142960 28071590400 28237728384 28826014392 29007310080 29283570176 29414300400 29755885824 30027098325 30363148800 30885015420 30995714400 31079260800 31375253760 31881306240 32028904880 32633223840 32944016448 33062095360 34316683800 34808772096 34870178700 35297160480 35423673600 36032517990 36259137600 36604462720 37194857280 37295112960 37650304512 38434685856 38606269275 39219067200 39851632800 40036131100 40791529800 41180020560 41327619200 41439014400 42107385600 42508408320 43239021588 43510965120 43925355264 44121450600 44633828736 45544723200 45755578400 46493571600 46618891200 47062880640 48043357320 48345516800 49416024672 49593143040 51246247808 51475025700 52213158144 52292089600 53135510400 53278732800 54048776985 54388706400 54906694080 55792285920 56475456768 57652028784 58014620160 58828600800 59511771648 60054196650 61770030840 61991428800 62158521600 62750507520 63762612480 64057809760 65266447680 65888032896 68633367600 69740357400 70594320960 70847347200 72065035980 72518275200 73208925440 74389714560 74590225920 76869371712 77212538550 78438134400 79703265600 80072262200 81583059600 82360041120 82655238400 84214771200 86478043176 87021930240 87850710528 88242901200 89267657472 90081294975 91089446400 91511156800 92987143200 93237782400 94125761280 96086714640 96691033600 98832049344 99186286080 102492495616 102950051400 104426316288 104584179200 106271020800 108097553970 108777412800 109813388160 111584571840 112950913536 115304057568 117657201600 120108393300 123540061680 123982857600 124317043200 127525224960 128115619520 130532895360 131776065792 137266735200 139480714800 141188641920 144130071960 145036550400 146417850880 148779429120 153738743424 154425077100 156876268800 159406531200 160144524400 163166119200 164720082240 165310476800 172956086352 174043860480 176485802400 178535314944 180162589950 183022313600 185974286400 186475564800 188251522560 192173429280 197664098688 204984991232 205900102800 212542041600 216195107940 217554825600 219626776320 223169143680 230608115136 235314403200 240216786600 247080123360 247965715200 256231239040 261065790720 263552131584 270243884925 274533470400 278961429600 282377283840 288260143920 290073100800 297558858240 307477486848 308850154200 313752537600 318813062400 320289048800 326332238400 329440164480 345912172704 352971604800 360325179900 366044627200 371948572800 372951129600 384346858560 395328197376 411800205600 432390215880 435109651200 439253552640 446338287360 461216230272 470628806400 480433573200 494160246720 495931430400 512462478080 522131581440 540487769850 549066940800 557922859200 564754567680 576520287840 614954973696 617700308400 637626124800 640578097600 652664476800 658880328960 691824345408 705943209600 720650359800 732089254400 743897145600 768693717120 790656394752 823600411200 864780431760 870219302400 892676574720 922432460544 941257612800 960867146400 988320493440 1024924956160 1080975539700 1098133881600 1115845718400 1153040575680 1235400616800 1281156195200 1305328953600 1317760657920 1383648690816 1411886419200 1441300719600 1487794291200 1537387434240 1647200822400 1729560863520 1844864921088 1921734292800 1976640986880 2161951079400 2196267763200 2231691436800 2306081151360 2470801233600 2562312390400 2610657907200 2767297381632 2823772838400 2882601439200 3074774868480 3294401644800 3459121727040 3843468585600 3953281973760 4323902158800 4463382873600 4612162302720 4941602467200 5124624780800 5534594763264 5765202878400 6588803289600 6918243454080 7686937171200 8647804317600 9224324605440 9883204934400 11530405756800 13836486908160 15373874342400 17295608635200 19766409868800 23060811513600 27672973816320 34591217270400 46121623027200 69182434540800 138364869081600
- Sum of all divisors σ(n): 621472181806080
- Sum of proper divisors (its aliquot sum) s(n): 483107312724480
- 138364869081600 is an abundant number, because the sum of its proper divisors (483107312724480) is greater than itself. Its abundance is 344742443642880
Bases of 138364869081600
- Binary: 111110111010111100101001101111011111010000000002
- Hexadecimal: 0x7DD794DEFA00
- Base-36: 1D1NXYKQO0
Squares and roots of 138364869081600
- 138364869081600 squared (1383648690816002) is 19144836995968307627458560000
- 138364869081600 cubed (1383648690816003) is 2648972864535727111896018359729258496000000
-
The
square root of 138364869081600 is 11762859.7322929937 -
The
cube root of 138364869081600 is 51721.9962946277
Scales and comparisons
How big is 138364869081600?- 138,364,869,081,600 seconds is equal to 4,399,574 years, 44 weeks.
-
To count from 1 to 138,364,869,081,600 would take you about ten million, nine hundred ninety-eight thousand, nine hundred thirty-seven 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 138364869081600 cubic inches would be around 4310.2 feet tall.
Recreational maths with 138364869081600
- 138364869081600 backwards is 006180968463831
- 138364869081600 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 138364869081600's digits is 63
- More coming soon!
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MLA style:
"Number 138364869081600 - Facts about the integer". Numbermatics.com. 2024. Web. 22 May 2024.
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Numbermatics. (2024). Number 138364869081600 - Facts about the integer. Retrieved 22 May 2024, from https://numbermatics.com/n/138364869081600/
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The information we have on file for 138364869081600 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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