138090361221120
138,090,361,221,120 is an even composite number composed of seven prime numbers multiplied together.
What does the number 138090361221120 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 1248 divisors.
138090361221120 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of one thousand, two hundred forty-eight divisors.
Prime factorization of 138090361221120:
212 × 3 × 5 × 7 × 112 × 19 × 139661
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 7 × 11 × 11 × 19 × 139661)See below for interesting mathematical facts about the number 138090361221120 from the Numbermatics database.
Names of 138090361221120
- Cardinal: 138090361221120 can be written as One hundred thirty-eight trillion, ninety billion, three hundred sixty-one million, two hundred twenty-one thousand, one hundred twenty.
Scientific notation
- Scientific notation: 1.3809036122112 × 1014
Factors of 138090361221120
Divisors of 138090361221120
- Number of divisors d(n): 1248
-
Complete list of divisors:
1 2 3 4 5 6 7 8 10 11 12 14 15 16 19 20 21 22 24 28 30 32 33 35 38 40 42 44 48 55 56 57 60 64 66 70 76 77 80 84 88 95 96 105 110 112 114 120 121 128 132 133 140 152 154 160 165 168 176 190 192 209 210 220 224 228 231 240 242 256 264 266 280 285 304 308 320 330 336 352 363 380 384 385 399 418 420 440 448 456 462 480 484 512 528 532 560 570 605 608 616 627 640 660 665 672 704 726 760 768 770 798 836 840 847 880 896 912 924 960 968 1024 1045 1056 1064 1120 1140 1155 1210 1216 1232 1254 1280 1320 1330 1344 1408 1452 1463 1520 1536 1540 1596 1672 1680 1694 1760 1792 1815 1824 1848 1920 1936 1995 2048 2090 2112 2128 2240 2280 2299 2310 2420 2432 2464 2508 2541 2560 2640 2660 2688 2816 2904 2926 3040 3072 3080 3135 3192 3344 3360 3388 3520 3584 3630 3648 3696 3840 3872 3990 4096 4180 4224 4235 4256 4389 4480 4560 4598 4620 4840 4864 4928 5016 5082 5120 5280 5320 5376 5632 5808 5852 6080 6144 6160 6270 6384 6688 6720 6776 6897 7040 7168 7260 7296 7315 7392 7680 7744 7980 8360 8448 8470 8512 8778 8960 9120 9196 9240 9680 9728 9856 10032 10164 10240 10560 10640 10752 11264 11495 11616 11704 12160 12288 12320 12540 12705 12768 13376 13440 13552 13794 14080 14336 14520 14592 14630 14784 15360 15488 15960 16093 16720 16896 16940 17024 17556 17920 18240 18392 18480 19360 19456 19712 20064 20328 20480 21120 21280 21504 21945 22528 22990 23232 23408 24320 24640 25080 25410 25536 26752 26880 27104 27588 28160 28672 29040 29184 29260 29568 30720 30976 31920 32186 33440 33792 33880 34048 34485 35112 35840 36480 36784 36960 38720 38912 39424 40128 40656 42240 42560 43008 43890 45056 45980 46464 46816 48279 48640 49280 50160 50820 51072 53504 53760 54208 55176 56320 58080 58368 58520 59136 61440 61952 63840 64372 66880 67584 67760 68096 68970 70224 71680 72960 73568 73920 77440 77824 78848 80256 80465 81312 84480 85120 86016 87780 91960 92928 93632 96558 97280 98560 100320 101640 102144 107008 107520 108416 110352 112640 116160 116736 117040 118272 123904 127680 128744 133760 135168 135520 136192 137940 139661 140448 143360 145920 147136 147840 154880 157696 160512 160930 162624 168960 170240 175560 183920 185856 187264 193116 194560 197120 200640 203280 204288 214016 215040 216832 220704 225280 232320 233472 234080 236544 241395 247808 255360 257488 267520 271040 272384 275880 279322 280896 291840 294272 295680 309760 315392 321024 321860 325248 337920 340480 351120 367840 371712 374528 386232 389120 394240 401280 406560 408576 418983 428032 430080 433664 441408 464640 468160 473088 482790 495616 510720 514976 535040 542080 544768 551760 558644 561792 583680 588544 591360 619520 642048 643720 650496 675840 680960 698305 702240 735680 743424 749056 772464 788480 802560 813120 817152 837966 856064 867328 882816 929280 936320 946176 965580 977627 1021440 1029952 1070080 1084160 1103520 1117288 1123584 1167360 1177088 1182720 1239040 1284096 1287440 1300992 1361920 1396610 1404480 1471360 1486848 1498112 1536271 1544928 1576960 1605120 1626240 1634304 1675932 1734656 1765632 1858560 1872640 1931160 1955254 2042880 2059904 2094915 2140160 2168320 2207040 2234576 2247168 2354176 2365440 2478080 2568192 2574880 2601984 2653559 2723840 2793220 2808960 2932881 2942720 2996224 3072542 3089856 3210240 3252480 3351864 3469312 3531264 3717120 3745280 3862320 3910508 4085760 4119808 4189830 4280320 4336640 4414080 4469152 4494336 4608813 4708352 4730880 4888135 5149760 5203968 5307118 5586440 5617920 5865762 5885440 5992448 6145084 6179712 6420480 6504960 6703728 7062528 7434240 7490560 7681355 7724640 7821016 7960677 8171520 8239616 8379660 8673280 8828160 8938304 8988672 9217626 9416704 9776270 10299520 10407936 10614236 10753897 11172880 11235840 11731524 11770880 12290168 12359424 12840960 13009920 13267795 13407456 14125056 14664405 14981120 15362710 15449280 15642032 15921354 16479232 16759320 16898981 17346560 17656320 17876608 17977344 18435252 18574913 19552540 20599040 21228472 21507794 22345760 22471680 23044065 23463048 23541760 24580336 24718848 26019840 26535590 26814912 28250112 29189149 29328810 29962240 30725420 30898560 31284064 31842708 32261691 32958464 33518640 33797962 35312640 35753216 36870504 37149826 39105080 39803385 41198080 42456944 43015588 44691520 44943360 46088130 46926096 47083520 49160672 49437696 50696943 52039680 53071180 53629824 53769485 55724739 58378298 58657620 61450840 61797120 62568128 63685416 64523382 65916928 67037280 67595924 70625280 71506432 73741008 74299652 78210160 79606770 82396160 84494905 84913888 86031176 87567447 89383040 89886720 92176260 92874565 93852192 98321344 98875392 101393886 106142360 107259648 107538970 111449478 116756596 117315240 118292867 122901680 123594240 125136256 127370832 129046764 134074560 135191848 141250560 143012864 145945745 147482016 148599304 156420320 159213540 161308455 164792320 168989810 169827776 172062352 175134894 178766080 184352520 185749130 187704384 196642688 197750784 202787772 204324043 212284720 214519296 215077940 222898956 233513192 234630480 236585734 245803360 247188480 250272512 253484715 254741664 258093528 268149120 270383696 278623695 286025728 291891490 294964032 297198608 312840640 318427080 321080639 322616910 329584640 337979620 339655552 344124704 350269788 354878601 357532160 368705040 371498260 375408768 393285376 405575544 408648086 424569440 429038592 430155880 437837235 445797912 467026384 469260960 473171468 491606720 494376960 500545024 506969430 509483328 516187056 536298240 540767392 557247390 572051456 583782980 589928064 591464335 594397216 612972129 625681280 636854160 642161278 645233820 675959240 679311104 688249408 700539576 709757202 715064320 737410080 742996520 750817536 786570752 811151088 817296172 849138880 858077184 860311760 875674470 891595824 934052768 938521920 946342936 963241917 983213440 988753920 1001090048 1013938860 1018966656 1021620215 1032374112 1072596480 1081534784 1114494780 1167565960 1179856128 1182928670 1188794432 1225944258 1251362560 1273708320 1284322556 1290467640 1351918480 1358622208 1376498816 1401079152 1419514404 1430128640 1474820160 1485993040 1501635072 1573141504 1605403195 1622302176 1634592344 1698277760 1716154368 1720623520 1751348940 1774393005 1783191648 1868105536 1877043840 1892685872 1926483834 1966426880 2002180096 2027877720 2037933312 2043240430 2064748224 2145192960 2163069568 2228989560 2247564473 2335131920 2359712256 2365857340 2377588864 2451888516 2502725120 2547416640 2568645112 2580935280 2703836960 2717244416 2752997632 2802158304 2839028808 2860257280 2949640320 2971986080 3003270144 3064860645 3146283008 3210806390 3244604352 3269184688 3396555520 3441247040 3502697880 3548786010 3566383296 3736211072 3754087680 3785371744 3852967668 3932853760 4004360192 4055755440 4075866624 4086480860 4129496448 4290385920 4326139136 4457979120 4495128946 4670263840 4719424512 4731714680 4755177728 4816209585 4903777032 5005450240 5094833280 5137290224 5161870560 5407673920 5434488832 5505995264 5604316608 5678057616 5899280640 5943972160 6006540288 6129721290 6292566016 6421612780 6489208704 6538369376 6742693419 6793111040 6882494080 7005395760 7097572020 7132766592 7472422144 7508175360 7570743488 7705935336 7865707520 8111510880 8151733248 8172961720 8258992896 8580771840 8652278272 8915958240 8990257892 9340527680 9438849024 9463429360 9510355456 9632419170 9807554064 10010900480 10189666560 10274580448 10323741120 10815347840 10868977664 11011990528 11208633216 11237822365 11356115232 11798561280 11887944320 12013080576 12259442580 12843225560 12978417408 13076738752 13485386838 13586222080 13764988160 14010791520 14195144040 14265533184 14944844288 15016350720 15141486976 15411870672 15731415040 16223021760 16303466496 16345923440 16517985792 17304556544 17831916480 17980515784 18681055360 18877698048 18926858720 19020710912 19264838340 19615108128 20021800960 20379333120 20549160896 20647482240 21630695680 22023981056 22417266432 22475644730 22712230464 23597122560 23775888640 24518885160 25686451120 25956834816 26153477504 26970773676 27172444160 27529976320 28021583040 28390288080 28531066368 29889688576 30032701440 30282973952 30823741344 31462830080 32446043520 32606932992 32691846880 33035971584 33713467095 34609113088 35663832960 35961031568 37362110720 37853717440 38041421824 38529676680 39230216256 40758666240 41098321792 41294964480 43261391360 44047962112 44834532864 44951289460 45424460928 47194245120 47551777280 49037770320 51372902240 51913669632 52306955008 53941547352 54344888320 55059952640 56043166080 56780576160 57062132736 59779377152 60065402880 60565947904 61647482688 64892087040 65383693760 66071943168 67426934190 69218226176 71327665920 71922063136 74724221440 75707434880 76082843648 77059353360 78460432512 81517332480 82196643584 82589928960 86522782720 89669065728 89902578920 90848921856 94388490240 95103554560 98075540640 102745804480 103827339264 104613910016 107883094704 110119905280 112086332160 113561152320 114124265472 119558754304 121131895808 123294965376 129784174080 130767387520 132143886336 134853868380 142655331840 143844126272 149448442880 151414869760 154118706720 156920865024 163034664960 164393287168 165179857920 173045565440 179338131456 179805157840 181697843712 190207109120 196151081280 205491608960 207654678528 209227820032 215766189408 220239810560 224172664320 227122304640 228248530944 242263791616 246589930752 259568348160 261534775040 269707736760 285310663680 287688252544 298896885760 302829739520 308237413440 313841730048 328786574336 330359715840 346091130880 358676262912 359610315680 363395687424 380414218240 392302162560 410983217920 418455640064 431532378816 448345328640 454244609280 484527583232 493179861504 519136696320 523069550080 539415473520 570621327360 575376505088 597793771520 605659479040 616474826880 627683460096 657573148672 660719431680 719220631360 726791374848 784604325120 821966435840 836911280128 863064757632 896690657280 908489218560 986359723008 1038273392640 1046139100160 1078830947040 1141242654720 1150753010176 1211318958080 1232949653760 1255366920192 1315146297344 1438441262720 1453582749696 1569208650240 1643932871680 1726129515264 1793381314560 1816978437120 1972719446016 2092278200320 2157661894080 2301506020352 2422637916160 2465899307520 2510733840384 2876882525440 3138417300480 3287865743360 3452259030528 3633956874240 3945438892032 4184556400640 4315323788160 4603012040704 4931798615040 5753765050880 6276834600960 6575731486720 6904518061056 7267913748480 8630647576320 9206024081408 9863597230080 11507530101760 12553669201920 13809036122112 17261295152640 19727194460160 23015060203520 27618072244224 34522590305280 46030120407040 69045180610560 138090361221120
- Sum of all divisors σ(n): 584249094858240
- Sum of proper divisors (its aliquot sum) s(n): 446158733637120
- 138090361221120 is an abundant number, because the sum of its proper divisors (446158733637120) is greater than itself. Its abundance is 308068372416000
Bases of 138090361221120
- Binary: 111110110010111101010101110110101110000000000002
- Hexadecimal: 0x7D97AAED7000
- Base-36: 1CY5U3OLXC
Squares and roots of 138090361221120
- 138090361221120 squared (1380903612211202) is 19068947862179402297534054400
- 138090361221120 cubed (1380903612211203) is 2633237898395057661315816417920368508928000
-
The
square root of 138090361221120 is 11751185.5240703267 -
The
cube root of 138090361221120 is 51687.7691713279
Scales and comparisons
How big is 138090361221120?- 138,090,361,221,120 seconds is equal to 4,390,846 years, 17 weeks, 6 days, 16 hours, 32 minutes.
-
To count from 1 to 138,090,361,221,120 would take you about ten million, nine hundred seventy-seven thousand, one hundred fifteen 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 138090361221120 cubic inches would be around 4307.3 feet tall.
Recreational maths with 138090361221120
- 138090361221120 backwards is 021122163090831
- The number of decimal digits it has is: 15
- The sum of 138090361221120's digits is 39
- More coming soon!
Link to this page
HTML: To link to this page, just copy and paste the link below into your blog, web page or email.
BBCODE: To link to this page in a forum post or comment box, just copy and paste the link code below:
Cite this page
MLA style:
"Number 138090361221120 - Facts about the integer". Numbermatics.com. 2024. Web. 22 May 2024.
APA style:
Numbermatics. (2024). Number 138090361221120 - Facts about the integer. Retrieved 22 May 2024, from https://numbermatics.com/n/138090361221120/
Chicago style:
Numbermatics. 2024. "Number 138090361221120 - Facts about the integer". https://numbermatics.com/n/138090361221120/
The information we have on file for 138090361221120 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 138090361221120, math, Factors of 138090361221120, curriculum, school, college, exams, university, Prime factorization of 138090361221120, STEM, science, technology, engineering, physics, economics, calculator, one hundred thirty-eight trillion, ninety billion, three hundred sixty-one million, two hundred twenty-one thousand, one hundred twenty.