138172646801280
138,172,646,801,280 is an even composite number composed of seven prime numbers multiplied together.
What does the number 138172646801280 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 1024 divisors.
138172646801280 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of one thousand and twenty-four divisors.
Prime factorization of 138172646801280:
27 × 3 × 5 × 73 × 13 × 31 × 520621
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 7 × 7 × 7 × 13 × 31 × 520621)See below for interesting mathematical facts about the number 138172646801280 from the Numbermatics database.
Names of 138172646801280
- Cardinal: 138172646801280 can be written as One hundred thirty-eight trillion, one hundred seventy-two billion, six hundred forty-six million, eight hundred one thousand, two hundred eighty.
Scientific notation
- Scientific notation: 1.3817264680128 × 1014
Factors of 138172646801280
Divisors of 138172646801280
- Number of divisors d(n): 1024
-
Complete list of divisors:
1 2 3 4 5 6 7 8 10 12 13 14 15 16 20 21 24 26 28 30 31 32 35 39 40 42 48 49 52 56 60 62 64 65 70 78 80 84 91 93 96 98 104 105 112 120 124 128 130 140 147 155 156 160 168 182 186 192 195 196 208 210 217 224 240 245 248 260 273 280 294 310 312 320 336 343 364 372 384 390 392 403 416 420 434 448 455 465 480 490 496 520 546 560 588 620 624 637 640 651 672 686 728 735 744 780 784 806 832 840 868 896 910 930 960 980 992 1029 1040 1085 1092 1120 1176 1209 1240 1248 1274 1302 1344 1365 1372 1456 1470 1488 1519 1560 1568 1612 1664 1680 1715 1736 1820 1860 1911 1920 1960 1984 2015 2058 2080 2170 2184 2240 2352 2418 2480 2496 2548 2604 2688 2730 2744 2821 2912 2940 2976 3038 3120 3136 3185 3224 3255 3360 3430 3472 3640 3720 3822 3920 3968 4030 4116 4160 4340 4368 4459 4480 4557 4704 4836 4960 4992 5096 5145 5208 5460 5488 5642 5824 5880 5952 6045 6076 6240 6272 6370 6448 6510 6720 6860 6944 7280 7440 7595 7644 7840 8060 8232 8320 8463 8680 8736 8918 9114 9408 9555 9672 9920 10192 10290 10416 10633 10920 10976 11284 11648 11760 11904 12090 12152 12480 12740 12896 13020 13377 13440 13720 13888 14105 14560 14880 15190 15288 15680 16120 16464 16926 17360 17472 17836 18228 18816 19110 19344 19747 19840 20384 20580 20832 21266 21840 21952 22295 22568 22785 23520 24180 24304 24960 25480 25792 26040 26754 27440 27776 28210 29120 29760 30380 30576 31360 31899 32240 32928 33852 34720 34944 35672 36456 38220 38688 39494 40768 41160 41664 42315 42532 43680 43904 44590 45136 45570 47040 48360 48608 50960 51584 52080 53165 53508 54880 56420 58240 59241 59520 60760 61152 63798 64480 65856 66885 67704 69440 71344 72912 76440 77376 78988 81536 82320 83328 84630 85064 87360 89180 90272 91140 94080 96720 97216 98735 101920 104160 106330 107016 109760 112840 118482 121520 122304 127596 128960 131712 133770 135408 138229 138880 142688 145824 152880 154752 157976 159495 164640 169260 170128 174720 178360 180544 182280 193440 194432 197470 203840 208320 212660 214032 219520 225680 236964 243040 244608 255192 257920 267540 270816 276458 285376 291648 296205 305760 315952 318990 329280 338520 340256 356720 361088 364560 386880 394940 407680 414687 416640 425320 428064 451360 473928 486080 510384 520621 535080 541632 552916 570752 583296 592410 611520 631904 637980 658560 677040 680512 691145 713440 729120 773760 789880 829374 850640 856128 902720 947856 972160 1020768 1041242 1070160 1083264 1105832 1184820 1223040 1263808 1275960 1354080 1361024 1382290 1426880 1458240 1561863 1579760 1658748 1701280 1712256 1805440 1895712 2041536 2073435 2082484 2140320 2211664 2369640 2527616 2551920 2603105 2708160 2764580 2853760 2916480 3123726 3159520 3317496 3402560 3644347 3791424 4083072 4146870 4164968 4280640 4423328 4739280 5103840 5206210 5416320 5529160 6247452 6319040 6634992 6768073 6805120 7288694 7582848 7809315 8293740 8329936 8561280 8846656 9478560 10207680 10412420 10933041 11058320 12494904 12638080 13269984 13536146 14577388 15618630 16139251 16587480 16659872 17693312 18221735 18957120 20304219 20415360 20824840 21866082 22116640 24989808 25510429 26539968 27072292 29154776 31237260 32278502 33174960 33319744 33840365 36443470 37914240 40608438 41649680 43732164 44233280 47376511 48417753 49979616 51020858 53079936 54144584 54665205 58309552 62474520 64557004 66349920 66639488 67680730 72886940 76531287 80696255 81216876 83299360 87464328 88466560 94753022 96835506 99959232 101521095 102041716 108289168 109330410 112974757 116619104 124949040 127552145 129114008 132699840 135361460 142129533 145773880 153062574 161392510 162433752 166598720 174928656 178573003 189506044 193671012 199918464 203042190 204083432 209810263 216578336 218660820 225949514 233238208 236882555 242088765 249898080 255104290 258228016 265399680 270722920 284259066 291547760 306125148 322785020 324867504 331635577 333197440 338924271 349857312 357146006 379012088 382656435 387342024 406084380 408166864 419620526 433156672 437321640 451899028 466476416 473765110 484177530 499796160 510208580 516456032 535719009 541445840 564873785 568518132 583095520 612250296 629430789 645570040 649735008 663271154 677848542 699714624 710647665 714292012 758024176 765312870 774684048 790823299 812168760 816333728 839241052 866313344 874643280 892865015 903798056 947530220 968355060 994906731 999592320 1020417160 1032912064 1049051315 1071438018 1082891680 1129747570 1137036264 1166191040 1224500592 1258861578 1291140080 1299470016 1326542308 1355697084 1399429248 1421295330 1428584024 1468671841 1516048352 1530625740 1549368096 1581646598 1624337520 1632667456 1658177885 1678482104 1694621355 1749286560 1785730030 1807596112 1895060440 1936710120 1989813462 2040834320 2065824128 2098102630 2142876036 2165783360 2259495140 2274072528 2321449039 2332382080 2372469897 2449001184 2517723156 2582280160 2598940032 2653084616 2678595045 2711394168 2842590660 2857168048 2937343682 3032096704 3061251480 3098736192 3147153945 3163293196 3248675040 3265334912 3316355770 3356964208 3389242710 3498573120 3571460060 3615192224 3790120880 3873420240 3954116495 3979626924 4081668640 4196205260 4285752072 4331566720 4406015523 4518990280 4548145056 4642898078 4744939794 4898002368 4974533655 5035446312 5164560320 5306169232 5357190090 5422788336 5535763093 5685181320 5714336096 5874687364 6064193408 6122502960 6197472384 6294307890 6326586392 6497350080 6632711540 6713928416 6778485420 6964347117 6997146240 7142920120 7230384448 7343359205 7580241760 7746840480 7908232990 7959253848 8163337280 8392410520 8571504144 8812031046 9037980560 9096290112 9285796156 9489879588 9796004736 9949067310 10070892624 10280702887 10329120640 10612338464 10714380180 10845576672 11071526186 11370362640 11428672192 11607245195 11749374728 11862349485 12245005920 12588615780 12653172784 12994700160 13265423080 13427856832 13556970840 13928694234 14285840240 14460768896 14686718410 15160483520 15493680960 15816465980 15918507696 16326674560 16607289279 16784821040 17143008288 17624062092 18075961120 18192580224 18571592312 18979759176 19898134620 20141785248 20561405774 21224676928 21428760360 21691153344 22030077615 22143052372 22740725280 22857344384 23214490390 23498749456 23724698970 24490011840 25177231560 25306345568 26530846160 26855713664 27113941680 27678815465 27857388468 28571680480 29373436820 30320967040 30842108661 30987361920 31632931960 31837015392 33214578558 33569642080 34286016576 34821735585 35248124184 36151922240 37143184624 37959518352 39796269240 40283570496 41122811548 42449353856 42857520720 43382306688 44060155230 44286104744 45481450560 46428980780 46997498912 47449397940 48980023680 50354463120 50612691136 51403514435 53061692320 54227883360 55357630930 55714776936 57143360960 58746873640 61684217322 63265863920 63674030784 66429157116 67139284160 68572033152 69643471170 70496248368 71964920209 72303844480 74286369248 75919036704 79592538480 80567140992 82245623096 83036446395 85715041440 88120310460 88572209488 90962901120 92857961560 93994997824 94898795880 100708926240 101225382272 102807028870 106123384640 108455766720 110715261860 111429553872 114286721920 117493747280 123368434644 126531727840 127348061568 132858314232 134278568320 139286942340 140992496736 143929840418 148572738496 151838073408 154210543305 159185076960 164491246192 166072892790 171430082880 176240620920 177144418976 185715923120 187989995648 189797591760 201417852480 205614057740 212246769280 215894760627 216911533440 221430523720 222859107744 234987494560 246736869288 253063455680 265716628464 278573884680 281984993472 287859680836 297145476992 303676146816 308421086610 318370153920 328982492384 332145785580 342860165760 352481241840 354288837952 359824601045 371431846240 379595183520 402835704960 411228115480 431789521254 442861047440 445718215488 469974989120 493473738576 506126911360 531433256928 557147769360 563969986944 575719361672 616842173220 636740307840 657964984768 664291571160 704962483680 708577675904 719649202090 742863692480 759190367040 822456230960 863579042508 885722094880 891436430976 939949978240 986947477152 1062866513856 1079473803135 1114295538720 1151438723344 1233684346440 1315929969536 1328583142320 1409924967360 1439298404180 1485727384960 1518380734080 1644912461920 1727158085016 1771444189760 1973894954304 2125733027712 2158947606270 2228591077440 2302877446688 2467368692880 2657166284640 2819849934720 2878596808360 3289824923840 3454316170032 3542888379520 3947789908608 4317895212540 4457182154880 4605754893376 4934737385760 5314332569280 5757193616720 6579649847680 6908632340064 8635790425080 9211509786752 9869474771520 10628665138560 11514387233440 13817264680128 17271580850160 19738949543040 23028774466880 27634529360256 34543161700320 46057548933760 69086323400640 138172646801280
- Sum of all divisors σ(n): 570968229888000
- Sum of proper divisors (its aliquot sum) s(n): 432795583086720
- 138172646801280 is an abundant number, because the sum of its proper divisors (432795583086720) is greater than itself. Its abundance is 294622936285440
Bases of 138172646801280
- Binary: 111110110101010110100111000011110111111100000002
- Hexadecimal: 0x7DAAD387BF80
- Base-36: 1CZ7MYE5XC
Squares and roots of 138172646801280
- 138172646801280 squared (1381726468012802) is 19091680324071272215809638400
- 138172646801280 cubed (1381726468012803) is 2637948002260846784716529771115153457152000
-
The
square root of 138172646801280 is 11754686.1634532803 -
The
cube root of 138172646801280 is 51698.0337389669
Scales and comparisons
How big is 138172646801280?- 138,172,646,801,280 seconds is equal to 4,393,462 years, 40 weeks, 1 day, 2 hours, 8 minutes.
-
To count from 1 to 138,172,646,801,280 would take you about ten million, nine hundred eighty-three thousand, six hundred fifty-six 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 138172646801280 cubic inches would be around 4308.2 feet tall.
Recreational maths with 138172646801280
- 138172646801280 backwards is 082108646271831
- The number of decimal digits it has is: 15
- The sum of 138172646801280's digits is 57
- 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 138172646801280 - Facts about the integer". Numbermatics.com. 2024. Web. 11 May 2024.
APA style:
Numbermatics. (2024). Number 138172646801280 - Facts about the integer. Retrieved 11 May 2024, from https://numbermatics.com/n/138172646801280/
Chicago style:
Numbermatics. 2024. "Number 138172646801280 - Facts about the integer". https://numbermatics.com/n/138172646801280/
The information we have on file for 138172646801280 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 138172646801280, math, Factors of 138172646801280, curriculum, school, college, exams, university, Prime factorization of 138172646801280, STEM, science, technology, engineering, physics, economics, calculator, one hundred thirty-eight trillion, one hundred seventy-two billion, six hundred forty-six million, eight hundred one thousand, two hundred eighty.