72138233970720
72,138,233,970,720 is an even composite number composed of seven prime numbers multiplied together.
What does the number 72138233970720 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 960 divisors.
72138233970720 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of nine hundred sixty divisors.
Prime factorization of 72138233970720:
25 × 34 × 5 × 61 × 149 × 757 × 809
(2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 5 × 61 × 149 × 757 × 809)See below for interesting mathematical facts about the number 72138233970720 from the Numbermatics database.
Names of 72138233970720
- Cardinal: 72138233970720 can be written as Seventy-two trillion, one hundred thirty-eight billion, two hundred thirty-three million, nine hundred seventy thousand, seven hundred twenty.
Scientific notation
- Scientific notation: 7.213823397072 × 1013
Factors of 72138233970720
Divisors of 72138233970720
- Number of divisors d(n): 960
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 32 36 40 45 48 54 60 61 72 80 81 90 96 108 120 122 135 144 149 160 162 180 183 216 240 244 270 288 298 305 324 360 366 405 432 447 480 488 540 549 596 610 648 720 732 745 757 809 810 864 894 915 976 1080 1098 1192 1220 1296 1341 1440 1464 1490 1514 1618 1620 1647 1788 1830 1952 2160 2196 2235 2271 2384 2427 2440 2592 2682 2745 2928 2980 3028 3236 3240 3294 3576 3660 3785 4023 4045 4320 4392 4470 4542 4768 4854 4880 4941 5364 5490 5856 5960 6056 6472 6480 6588 6705 6813 7152 7281 7320 7570 8046 8090 8235 8784 8940 9084 9089 9708 9760 9882 10728 10980 11355 11920 12069 12112 12135 12944 12960 13176 13410 13626 14304 14562 14640 15140 16092 16180 16470 17568 17880 18168 18178 19416 19764 20115 20439 21456 21843 21960 22710 23840 24138 24224 24270 24705 25888 26352 26820 27252 27267 29124 29280 30280 32184 32360 32940 34065 35760 36336 36356 36405 38832 39528 40230 40878 42912 43686 43920 45420 45445 46177 48276 48540 49349 49410 52704 53640 54504 54534 58248 60345 60560 61317 64368 64720 65529 65880 68130 71520 72672 72712 72810 77664 79056 80460 81756 81801 87372 87840 90840 90890 92354 96552 97080 98698 98820 102195 107280 109008 109068 109215 112793 116496 120541 120690 121120 122634 128736 129440 131058 131760 136260 136335 138531 145424 145620 148047 158112 160920 163512 163602 174744 181680 181780 184708 193104 194160 197396 197640 204390 214560 218016 218136 218430 225586 230885 232992 241082 241380 245268 245403 246745 262116 263520 272520 272670 277062 290848 291240 296094 306585 321840 327024 327204 327645 338379 349488 361623 363360 363560 369416 386208 388320 394792 395280 408780 409005 415593 436272 436860 444141 451172 461770 482164 482760 490536 490806 493490 524232 545040 545340 554124 563965 582480 592188 602705 612413 613170 643680 654048 654408 655290 676758 692655 698976 723246 727120 736209 738832 740235 789584 790560 817560 818010 831186 872544 873720 888282 902344 923540 964328 965520 981072 981612 986980 1015137 1048464 1084869 1090080 1090680 1108248 1127930 1164960 1184376 1205410 1224826 1226340 1227015 1246779 1308816 1310580 1332423 1353516 1385310 1446492 1454240 1472418 1477664 1480470 1579168 1635120 1636020 1662372 1691895 1747440 1776564 1804688 1808115 1837239 1847080 1928656 1931040 1962144 1963224 1973960 2030274 2077965 2096928 2169738 2181360 2216496 2220705 2255860 2368752 2410820 2449652 2452680 2454030 2493558 2617632 2621160 2664846 2707032 2770620 2892984 2944836 2960940 3045411 3062065 3254607 3270240 3272040 3324744 3383790 3494880 3553128 3609376 3616230 3674478 3681045 3694160 3740337 3857312 3926448 3947920 3997269 4060548 4155930 4339476 4362720 4432992 4441410 4511720 4737504 4821640 4899304 4905360 4908060 4987116 5075685 5242320 5329692 5414064 5424345 5511717 5541240 5785968 5889672 5921880 6090822 6124130 6233895 6509214 6544080 6649488 6662115 6767580 6880373 7106256 7232460 7348956 7353001 7362090 7388320 7480674 7852896 7895840 7994538 8121096 8311860 8678952 8882820 9023440 9136233 9186195 9643280 9763821 9798608 9810720 9816120 9974232 10151370 10484640 10659384 10828128 10848690 11023434 11082480 11571936 11779344 11843760 12181644 12248260 12467790 13018428 13088160 13298976 13324230 13535160 13760746 14212512 14464920 14697912 14706002 14724180 14961348 15227055 15989076 16242192 16273035 16535151 16623720 17357904 17765640 18046880 18272466 18372390 18701685 19286560 19527642 19597216 19632240 19948464 19986345 20302740 20641119 21318768 21697380 22046868 22059003 22164960 23558688 23687520 24363288 24496520 24935580 26036856 26648460 27070320 27521492 27558585 28929840 29395824 29412004 29448360 29922696 30454110 31978152 32484384 32546070 33070302 33247440 34401865 34715808 35531280 36544932 36744780 36765005 37357193 37403370 39055284 39264480 39896928 39972690 40605480 41282238 42637536 43394760 44093736 44118006 45681165 48726576 48819105 48993040 49605453 49871160 52073712 53296920 54140640 55042984 55117170 57859680 58791648 58824008 58896720 59845392 60908220 61923357 63956304 65092140 66140604 66177009 66494880 68803730 71062560 73089864 73489560 73530010 74714386 74806740 78110568 79945380 81210960 82564476 82675755 86789520 88187472 88236012 91249537 91362330 97453152 97638210 97986080 99210906 99742320 103205595 104147424 106593840 110085968 110234340 110295015 112071579 117648016 117793440 119690784 121816440 123846714 127912608 130184280 132281208 132354018 137607460 146179728 146979120 147060020 149428772 149613480 156221136 159890760 162421920 165128952 165351510 173579040 176374944 176472024 182499074 182724660 185770071 186785965 195276420 198421812 198531027 199484640 206411190 213187680 220171936 220468680 220590030 224143158 235296032 243632880 247693428 248027265 260368560 264562416 264708036 273748611 275214920 292359456 293958240 294120040 298857544 299226960 309616785 312442272 319781520 330257904 330703020 330885045 336214737 352944048 364998148 365449320 371540142 373571930 390552840 396843624 397062054 412822380 440937360 441180060 448286316 456247685 487265760 495386856 496054530 520737120 529124832 529416072 547497222 550429840 557310213 560357895 588240080 595593081 597715088 598453920 619233570 639563040 660515808 661406040 661770090 672429474 705888096 729996296 730898640 743080284 747143860 781105680 793687248 794124108 821245833 825644760 881874720 882360120 896572632 912495370 928850355 990773712 992109060 992655135 1008644211 1058832144 1094994444 1100859680 1114620426 1120715790 1176480160 1191186162 1195430176 1238467140 1322812080 1323540180 1344858948 1368743055 1459992592 1461797280 1486160568 1494287720 1562211360 1587374496 1588248216 1642491666 1651289520 1681073685 1764720240 1793145264 1824990740 1857700710 1981547424 1984218120 1985310270 2017288422 2117664288 2189988888 2229240852 2241431580 2382372324 2463737499 2476934280 2645624160 2647080360 2689717896 2737486110 2786551065 2919985184 2972321136 2977965405 2988575440 3025932633 3176496432 3284983332 3302579040 3362147370 3529440480 3586290528 3649981480 3715401420 3968436240 3970620540 4034576844 4106229165 4379977776 4458481704 4482863160 4764744648 4927474998 4953868560 5043221055 5294160720 5379435792 5474972220 5566221757 5573102130 5944642272 5955930810 5977150880 6051865266 6352992864 6569966664 6724294740 7299962960 7391212497 7430802840 7936872480 7941241080 8069153688 8212458330 8759955552 8916963408 8965726320 9529489296 9854949996 9907737120 10086442110 10588321440 10758871584 10949944440 11132443514 11146204260 11911861620 12103730532 12318687495 13139933328 13448589480 14599925920 14782424994 14861605680 15129663165 15882482160 16138307376 16424916660 16698665271 17833926816 17931452640 19058978592 19709899992 20172884220 21899888880 22264887028 22292408520 23823723240 24207461064 24637374990 26279866656 26897178960 27831108785 29564849988 29723211360 30259326330 31764964320 32276614752 32849833320 33397330542 36956062485 39419799984 40345768440 43799777760 44529774056 44584817040 47647446480 48414922128 49274749980 50095995813 53794357920 55662217570 59129699976 60518652660 65699666640 66794661084 73912124970 78839599968 80691536880 83493326355 89059548112 89169634080 95294892960 96829844256 98549499960 100191991626 111324435140 118259399952 121037305320 131399333280 133589322168 147824249940 150287987439 161383073760 166986652710 178119096224 197098999920 200383983252 222648870280 236518799904 242074610640 250479979065 267178644336 295648499880 300575974878 333973305420 394197999840 400767966504 445297740560 450863962317 484149221280 500959958130 534357288672 591296999760 601151949756 667946610840 751439937195 801535933008 890595481120 901727924634 1001919916260 1182593999520 1202303899512 1335893221680 1502879874390 1603071866016 1803455849268 2003839832520 2254319811585 2404607799024 2671786443360 3005759748780 3606911698536 4007679665040 4508639623170 4809215598048 6011519497560 7213823397072 8015359330080 9017279246340 12023038995120 14427646794144 18034558492680 24046077990240 36069116985360 72138233970720
- Sum of all divisors σ(n): 261164620332000
- Sum of proper divisors (its aliquot sum) s(n): 189026386361280
- 72138233970720 is an abundant number, because the sum of its proper divisors (189026386361280) is greater than itself. Its abundance is 116888152390560
Bases of 72138233970720
- Binary: 100000110011011111111011100111110000000001000002
- Hexadecimal: 0x419BFDCF8020
- Base-36: PKJUHYA00
Squares and roots of 72138233970720
- 72138233970720 squared (721382339707202) is 5203924800414341017817318400
- 72138233970720 cubed (721382339707203) is 375401944818322111142971978990014517248000
-
The
square root of 72138233970720 is 8493422.9831511393 -
The
cube root of 72138233970720 is 41628.2833523219
Scales and comparisons
How big is 72138233970720?- 72,138,233,970,720 seconds is equal to 2,293,772 years, 36 weeks, 3 days, 13 hours, 12 minutes.
-
To count from 1 to 72,138,233,970,720 would take you about five million, seven hundred thirty-four thousand, four hundred thirty-one 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 72138233970720 cubic inches would be around 3469 feet tall.
Recreational maths with 72138233970720
- 72138233970720 backwards is 02707933283127
- 72138233970720 is a
Harshad number . - The number of decimal digits it has is: 14
- The sum of 72138233970720's digits is 54
- 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 72138233970720 - Facts about the integer". Numbermatics.com. 2024. Web. 22 June 2024.
APA style:
Numbermatics. (2024). Number 72138233970720 - Facts about the integer. Retrieved 22 June 2024, from https://numbermatics.com/n/72138233970720/
Chicago style:
Numbermatics. 2024. "Number 72138233970720 - Facts about the integer". https://numbermatics.com/n/72138233970720/
The information we have on file for 72138233970720 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 72138233970720, math, Factors of 72138233970720, curriculum, school, college, exams, university, Prime factorization of 72138233970720, STEM, science, technology, engineering, physics, economics, calculator, seventy-two trillion, one hundred thirty-eight billion, two hundred thirty-three million, nine hundred seventy thousand, seven hundred twenty.