138154236672000
138,154,236,672,000 is an even composite number composed of six prime numbers multiplied together.
What does the number 138154236672000 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 768 divisors.
138154236672000 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of seven hundred sixty-eight divisors.
Prime factorization of 138154236672000:
211 × 3 × 53 × 61 × 593 × 4973
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 5 × 5 × 61 × 593 × 4973)See below for interesting mathematical facts about the number 138154236672000 from the Numbermatics database.
Names of 138154236672000
- Cardinal: 138154236672000 can be written as One hundred thirty-eight trillion, one hundred fifty-four billion, two hundred thirty-six million, six hundred seventy-two thousand.
Scientific notation
- Scientific notation: 1.38154236672 × 1014
Factors of 138154236672000
Divisors of 138154236672000
- Number of divisors d(n): 768
-
Complete list of divisors:
1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 32 40 48 50 60 61 64 75 80 96 100 120 122 125 128 150 160 183 192 200 240 244 250 256 300 305 320 366 375 384 400 480 488 500 512 593 600 610 640 732 750 768 800 915 960 976 1000 1024 1186 1200 1220 1280 1464 1500 1525 1536 1600 1779 1830 1920 1952 2000 2048 2372 2400 2440 2560 2928 2965 3000 3050 3072 3200 3558 3660 3840 3904 4000 4575 4744 4800 4880 4973 5120 5856 5930 6000 6100 6144 6400 7116 7320 7625 7680 7808 8000 8895 9150 9488 9600 9760 9946 10240 11712 11860 12000 12200 12800 14232 14640 14825 14919 15250 15360 15616 16000 17790 18300 18976 19200 19520 19892 22875 23424 23720 24000 24400 24865 25600 28464 29280 29650 29838 30500 30720 31232 32000 35580 36173 36600 37952 38400 39040 39784 44475 45750 46848 47440 48000 48800 49730 51200 56928 58560 59300 59676 61000 62464 64000 71160 72346 73200 74125 74595 75904 76800 78080 79568 88950 91500 93696 94880 96000 97600 99460 108519 113856 117120 118600 119352 122000 124325 124928 128000 142320 144692 146400 148250 149190 151808 153600 156160 159136 177900 180865 183000 187392 189760 192000 195200 198920 217038 222375 227712 234240 237200 238704 244000 248650 256000 284640 289384 292800 296500 298380 303353 303616 312320 318272 355800 361730 366000 372975 374784 379520 384000 390400 397840 434076 444750 455424 468480 474400 477408 488000 497300 542595 569280 578768 585600 593000 596760 606706 607232 621625 624640 636544 711600 723460 732000 745950 759040 768000 780800 795680 868152 889500 904325 910059 910848 936960 948800 954816 976000 994600 1085190 1138560 1157536 1171200 1186000 1193520 1213412 1214464 1243250 1273088 1423200 1446920 1464000 1491900 1516765 1518080 1561600 1591360 1736304 1779000 1808650 1820118 1821696 1864875 1873920 1897600 1909632 1952000 1989200 2170380 2277120 2315072 2342400 2372000 2387040 2426824 2486500 2546176 2712975 2846400 2893840 2928000 2948989 2983800 3033530 3036160 3123200 3182720 3472608 3558000 3617300 3640236 3643392 3729750 3795200 3819264 3904000 3978400 4340760 4521625 4550295 4554240 4630144 4684800 4744000 4774080 4853648 4973000 5092352 5425950 5692800 5787680 5856000 5897978 5967600 6067060 6072320 6365440 6945216 7116000 7234600 7280472 7459500 7583825 7590400 7638528 7808000 7956800 8681520 8846967 9043250 9100590 9108480 9260288 9369600 9488000 9548160 9707296 9946000 10184704 10851900 11385600 11575360 11712000 11795956 11935200 12134120 12730880 13564875 13890432 14232000 14469200 14560944 14744945 14919000 15167650 15180800 15277056 15616000 15913600 17363040 17693934 18086500 18201180 18216960 18520576 18976000 19096320 19414592 19892000 21703800 22751475 22771200 23150720 23424000 23591912 23870400 24268240 25461760 27129750 27780864 28464000 28938400 29121888 29489890 29838000 30335300 30361600 30554112 31827200 34726080 35387868 36173000 36402360 37041152 37919125 37952000 38192640 38829184 39784000 43407600 44234835 45502950 45542400 46301440 46848000 47183824 47740800 48536480 50923520 54259500 55561728 56928000 57876800 58243776 58979780 59676000 60670600 63654400 69452160 70775736 72346000 72804720 73724725 74082304 75838250 75904000 76385280 77658368 79568000 86815200 88469670 91005900 91084800 92602880 94367648 95481600 97072960 108519000 111123456 113757375 113856000 115753600 116487552 117959560 119352000 121341200 127308800 138904320 141551472 144692000 145609440 147449450 151676500 151808000 152770560 155316736 159136000 173630400 176939340 179888329 182011800 185205760 188735296 190963200 194145920 217038000 221174175 222246912 227514750 227712000 231507200 232975104 235919120 238704000 242682400 254617600 277808640 283102944 289384000 291218880 294898900 303353000 310633472 318272000 347260800 353878680 359776658 364023600 368623625 370411520 377470592 381926400 388291840 434076000 442348350 455029500 455424000 463014400 465950208 471838240 477408000 485364800 539664987 555617280 566205888 578768000 582437760 589797800 606706000 621266944 636544000 694521600 707757360 719553316 728047200 737247250 754941184 763852800 776583680 868152000 884696700 899441645 910059000 926028800 931900416 943676480 954816000 970729600 1079329974 1105870875 1111234560 1132411776 1157536000 1164875520 1179595600 1213412000 1273088000 1389043200 1415514720 1439106632 1456094400 1474494500 1509882368 1553167360 1736304000 1769393400 1798883290 1820118000 1852057600 1863800832 1887352960 1909632000 1941459200 2158659948 2211741750 2264823552 2315072000 2329751040 2359191200 2426824000 2698324935 2778086400 2831029440 2878213264 2912188800 2948989000 3019764736 3106334720 3472608000 3538786800 3597766580 3640236000 3774705920 3819264000 3882918400 4317319896 4423483500 4497208225 4529647104 4630144000 4659502080 4718382400 4853648000 5396649870 5556172800 5662058880 5756426528 5824377600 5897978000 6039529472 6945216000 7077573600 7195533160 7280472000 7549411840 7765836800 8634639792 8846967000 8994416450 9059294208 9260288000 9319004160 9436764800 9707296000 10793299740 11324117760 11512853056 11648755200 11795956000 13491624675 13890432000 14155147200 14391066320 14560944000 15098823680 15531673600 17269279584 17693934000 17988832900 18118588416 18873529600 19414592000 21586599480 22486041125 22648235520 23025706112 23297510400 23591912000 26983249350 27780864000 28310294400 28782132640 29121888000 30197647360 34538559168 35387868000 35977665800 37747059200 38829184000 43173198960 44972082250 45296471040 46051412224 46595020800 47183824000 53966498700 56620588800 57564265280 58243776000 67458123375 69077118336 70775736000 71955331600 75494118400 77658368000 86346397920 89944164500 90592942080 92102824448 94367648000 107932997400 113241177600 115128530560 116487552000 134916246750 138154236672 141551472000 143910663200 150988236800 172692795840 179888329000 184205648896 188735296000 215865994800 226482355200 230257061120 232975104000 269832493500 276308473344 283102944000 287821326400 345385591680 359776658000 368411297792 377470592000 431731989600 452964710400 460514122240 539664987000 552616946688 566205888000 575642652800 690771183360 719553316000 754941184000 863463979200 921028244480 1079329974000 1105233893376 1132411776000 1151285305600 1381542366720 1439106632000 1726927958400 1842056488960 2158659948000 2264823552000 2302570611200 2763084733440 2878213264000 3453855916800 4317319896000 4605141222400 5526169466880 5756426528000 6907711833600 8634639792000 9210282444800 11512853056000 13815423667200 17269279584000 23025706112000 27630847334400 34538559168000 46051412224000 69077118336000 138154236672000
- Sum of all divisors σ(n): 468082507052160
- Sum of proper divisors (its aliquot sum) s(n): 329928270380160
- 138154236672000 is an abundant number, because the sum of its proper divisors (329928270380160) is greater than itself. Its abundance is 191774033708160
Bases of 138154236672000
- Binary: 111110110100110100010100011001101111000000000002
- Hexadecimal: 0x7DA68A337800
- Base-36: 1CYZ6HH79C
Squares and roots of 138154236672000
- 138154236672000 squared (1381542366720002) is 19086593110422989635584000000
- 138154236672000 cubed (1381542366720003) is 2636893701839542340144274968936448000000000
-
The
square root of 138154236672000 is 11753903.0399267799 -
The
cube root of 138154236672000 is 51695.7375542517
Scales and comparisons
How big is 138154236672000?- 138,154,236,672,000 seconds is equal to 4,392,877 years, 20 weeks, 21 hours, 20 minutes.
-
To count from 1 to 138,154,236,672,000 would take you about ten million, nine hundred eighty-two thousand, one hundred ninety-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 138154236672000 cubic inches would be around 4308 feet tall.
Recreational maths with 138154236672000
- 138154236672000 backwards is 000276632451831
- 138154236672000 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 138154236672000's digits is 48
- More coming soon!
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The information we have on file for 138154236672000 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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