138074802001657400
138,074,802,001,657,400 is an even composite number composed of five prime numbers multiplied together.
What does the number 138074802001657400 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 864 divisors.
138074802001657400 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of eight hundred sixty-four divisors.
Prime factorization of 138074802001657400:
23 × 52 × 115 × 37 × 415
(2 × 2 × 2 × 5 × 5 × 11 × 11 × 11 × 11 × 11 × 37 × 41 × 41 × 41 × 41 × 41)See below for interesting mathematical facts about the number 138074802001657400 from the Numbermatics database.
Names of 138074802001657400
- Cardinal: 138074802001657400 can be written as One hundred thirty-eight quadrillion, seventy-four trillion, eight hundred two billion, one million, six hundred fifty-seven thousand, four hundred.
Scientific notation
- Scientific notation: 1.380748020016574 × 1017
Factors of 138074802001657400
Divisors of 138074802001657400
- Number of divisors d(n): 864
-
Complete list of divisors:
1 2 4 5 8 10 11 20 22 25 37 40 41 44 50 55 74 82 88 100 110 121 148 164 185 200 205 220 242 275 296 328 370 407 410 440 451 484 550 605 740 814 820 902 925 968 1025 1100 1210 1331 1480 1517 1628 1640 1681 1804 1850 2035 2050 2200 2255 2420 2662 3025 3034 3256 3362 3608 3700 4070 4100 4477 4510 4840 4961 5324 6050 6068 6655 6724 7400 7585 8140 8200 8405 8954 9020 9922 10175 10648 11275 12100 12136 13310 13448 14641 15170 16280 16687 16810 17908 18040 18491 19844 20350 22385 22550 24200 24805 26620 29282 30340 33275 33374 33620 35816 36982 37925 39688 40700 42025 44770 45100 49247 49610 53240 54571 58564 60680 62197 66550 66748 67240 68921 73205 73964 75850 81400 83435 84050 89540 90200 92455 98494 99220 109142 111925 117128 124025 124394 133100 133496 137842 146410 147928 151700 161051 166870 168100 179080 183557 184910 196988 198440 203401 218284 223850 246235 248050 248788 266200 272855 275684 292820 303400 310985 322102 333740 336200 344605 366025 367114 369820 393976 406802 417175 436568 447700 462275 492470 496100 497576 541717 545710 551368 585640 600281 621970 644204 667480 684167 689210 732050 734228 739640 758131 805255 813604 834350 895400 917785 924550 984940 992200 1017005 1083434 1091420 1200562 1231175 1243940 1288408 1364275 1368334 1378420 1464100 1468456 1516262 1554925 1610510 1627208 1668700 1723025 1835570 1849100 1969880 2019127 2034010 2166868 2182840 2237411 2401124 2462350 2487880 2550077 2708585 2728550 2736668 2756840 2825761 2928200 3001405 3032524 3109850 3221020 3337400 3420835 3446050 3671140 3698200 3790655 4026275 4038254 4068020 4333736 4474822 4588925 4802248 4924700 5085025 5100154 5417170 5457100 5473336 5651522 5958887 6002810 6065048 6219700 6442040 6603091 6841670 6892100 7342280 7525837 7581310 8052550 8076508 8136040 8339441 8949644 9177850 9849400 10095635 10170050 10200308 10834340 10914200 11187055 11303044 11917774 12005620 12439400 12750385 13206182 13542925 13683340 13784200 14128805 15007025 15051674 15162620 16105100 16153016 16678882 17104175 17899288 18355700 18953275 20191270 20340100 20400616 21668680 22210397 22374110 22606088 23835548 24011240 24611521 25500770 26412364 27085850 27366680 28050847 28257610 29794435 30014050 30103348 30325240 31083371 32210200 33015455 33357764 34208350 36711400 37629185 37906550 40382540 40680200 41697205 44420794 44748220 47671096 49223042 50478175 51001540 52824728 54171700 55935275 56101694 56515220 59588870 60028100 60206696 62166742 63751925 66030910 66715528 68416700 70644025 75258370 75813100 80765080 82784207 83394410 88841588 89496440 91733851 98446084 100956350 102003080 104553157 108343400 111051985 111870550 112203388 113030440 115856201 119177740 120056200 123057605 124333484 127503850 132061820 136833400 140254235 141288050 148972175 150516740 151626200 155416855 165077275 165568414 166788820 177683176 183467702 188145925 196892168 201912700 208486025 209106314 222103970 223741100 224406776 231712402 238355480 244314367 246115210 248666968 255007700 264123640 270726731 280508470 282576100 297944350 301033480 308559317 310833710 330154550 331136828 333577640 341917081 366935404 376291850 403825400 413921035 416972050 418212628 444207940 447482200 458669255 463424804 488628734 492230420 510015400 522765785 541453462 555259925 561016940 565152200 579281005 595888700 615288025 617118634 621667420 660309100 662273656 683834162 701271175 733870808 752583700 777084275 827842070 833944100 836425256 888415880 910626277 917338510 926849608 977257468 984460840 1009072361 1045531570 1082906924 1110519850 1122033880 1150084727 1158562010 1191777400 1221571835 1230576050 1234237268 1243334840 1274418211 1320618200 1353633655 1367668324 1402542350 1505167400 1542796585 1554168550 1655684140 1667888200 1709585405 1821252554 1834677020 1954514936 2018144722 2069605175 2091063140 2165813848 2221039700 2293346275 2300169454 2317124020 2443143670 2461152100 2468474536 2548836422 2613828925 2707267310 2735336648 2805084700 2896405025 3085593170 3108337100 3311368280 3394152487 3419170810 3642505108 3669354040 3761087891 4036289444 4139210350 4182126280 4286679437 4442079400 4553131385 4586692550 4600338908 4634248040 4886287340 4922304200 5045361805 5097672844 5227657850 5414534620 5610169400 5750423635 5792810050 6107859175 6171186340 6216674200 6372091055 6768168275 6788304974 6838341620 7285010216 7522175782 7713982925 8072578888 8278420700 8547927025 8573358874 9106262770 9173385100 9200677816 9772574680 10016889047 10090723610 10195345688 10455315700 10829069240 11099795971 11500847270 11585620100 12215718350 12342372680 12650931997 12744182110 13536336550 13576609948 13676683240 14018600321 15044351564 15427965850 16556841400 16970762435 17095854050 17146717748 18212525540 18346770200 18805439455 20033778094 20181447220 20910631400 21433397185 22199591942 22765656925 23001694540 23171240200 24431436700 25226809025 25301863994 25488364220 27072673100 27153219896 28037200642 28752118175 30088703128 30855931700 31860455275 33941524870 34191708100 34293435496 36425051080 37335677357 37610878910 40067556188 40362894440 41371966801 42866794370 44399183884 45531313850 46003389080 47153473807 48862873400 50084445235 50453618050 50603727988 50976728440 54145346200 55498979855 56074401284 57504236350 61711863400 63254659985 63720910550 67883049740 68383416200 70093001605 74671354714 75221757820 80135112376 82743933602 84853812175 85733588740 88798367768 91062627700 94027197275 94306947614 100168890470 100907236100 101207455976 107166985925 110997959710 112148802568 115008472700 126509319970 127441821100 135766099480 139160251967 140186003210 149342709428 150443515640 154204603531 165487867204 169707624350 171467177480 182125255400 186678386785 188054394550 188613895228 200337780940 201814472200 206859834005 214333971850 221995919420 230016945400 235767369035 250422226175 253018639940 254883642200 277494899275 278320503934 280372006420 298685418856 308409207062 316273299925 330975734408 339415248700 350465008025 373356773570 376108789100 377227790456 400675561880 410692450927 413719668010 428667943700 443991838840 455091634811 471534738070 500844452350 506037279880 518688211877 554989798550 556641007868 560744012840 616818414124 632546599850 678830497400 695801259835 700930016050 746713547140 752217578200 771023017655 821384901854 827439336020 857335887400 910183269622 933391933925 943069476140 1001688904700 1034299170025 1037376423754 1109979597100 1113282015736 1178836845175 1233636828248 1265093199700 1391602519670 1401860032100 1493427094280 1530762771637 1542046035310 1642769803708 1654878672040 1696250638841 1820366539244 1866783867850 1886138952280 2003377809400 2053462254635 2068598340050 2074752847508 2219959194200 2275458174055 2357673690350 2530186399400 2593441059385 2783205039340 2803720064200 3061525543274 3084092070620 3285539607416 3392501277682 3479006299175 3640733078488 3733567735700 3855115088275 4106924509270 4137196680100 4149505695016 4550916348110 4715347380700 5186882118770 5566410078680 5705570330647 6123051086548 6168184141240 6785002555364 6958012598350 7467135471400 7653813858185 7710230176550 8213849018540 8274393360200 8481253194205 9101832696220 9430694761400 10267311273175 10373764237540 11377290870275 11411140661294 12246102173096 12967205296925 13570005110728 13916025196700 15307627716370 15420460353100 16427698037080 16838390488007 16962506388410 18203665392440 18658757027251 20534622546350 20747528475080 22754581740550 22822281322588 25934410593850 27832050393400 28527851653235 30615255432740 30840920706200 33676780976014 33925012776820 37317514054502 38269069290925 41069245092700 42406265971025 45509163481100 45644562645176 51868821187700 57055703306470 61230510865480 62761273637117 67353561952028 67850025553640 74635028109004 76538138581850 82138490185400 84191952440035 84812531942050 91018326962200 93293785136255 103737642375400 114111406612940 125522547274234 134707123904056 142639258266175 149270056218008 153076277163700 168383904880070 169625063884100 186587570272510 228222813225880 251045094548468 285278516532350 306152554327400 313806368185585 336767809760140 339250127768200 373175140545020 420959762200175 466468925681275 502090189096936 570557033064700 627612736371170 673535619520280 690374010008287 746350281090040 841919524400350 932937851362550 1141114066129400 1255225472742340 1380748020016574 1569031840927925 1683839048800700 1865875702725100 2510450945484680 2761496040033148 3138063681855850 3367678097601400 3451870050041435 3731751405450200 5522992080066296 6276127363711700 6903740100082870 12552254727423400 13807480200165740 17259350250207175 27614960400331480 34518700500414350 69037401000828700 138074802001657400
- Sum of all divisors σ(n): 371736806933031120
- Sum of proper divisors (its aliquot sum) s(n): 233662004931373720
- 138074802001657400 is an abundant number, because the sum of its proper divisors (233662004931373720) is greater than itself. Its abundance is 95587202929716320
Bases of 138074802001657400
- Binary: 1111010101000101001001101000001011011110110111110001110002
- Hexadecimal: 0x1EA8A4D05BDBE38
- Base-36: 11RJFKDA1KXK
Squares and roots of 138074802001657400
- 138074802001657400 squared (1380748020016574002) is 19064650947796894353672346974760000
- 138074802001657400 cubed (1380748020016574003) is 2632347904847766276579105854117062545395967224000000
-
The
square root of 138074802001657400 is 371584178.8904062045 -
The
cube root of 138074802001657400 is 516858.2780592051
Scales and comparisons
How big is 138074802001657400?- 138,074,802,001,657,400 seconds is equal to 4,390,351,610 years, 12 weeks, 6 days, 7 hours, 3 minutes, 20 seconds.
-
To count from 1 to 138,074,802,001,657,400 would take you about thirteen billion, one hundred seventy-one million, fifty-four thousand, eight hundred thirty 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 138074802001657400 cubic inches would be around 43071.5 feet tall.
Recreational maths with 138074802001657400
- 138074802001657400 backwards is 004756100208470831
- The number of decimal digits it has is: 18
- The sum of 138074802001657400's digits is 56
- 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 138074802001657400 - Facts about the integer". Numbermatics.com. 2024. Web. 17 June 2024.
APA style:
Numbermatics. (2024). Number 138074802001657400 - Facts about the integer. Retrieved 17 June 2024, from https://numbermatics.com/n/138074802001657400/
Chicago style:
Numbermatics. 2024. "Number 138074802001657400 - Facts about the integer". https://numbermatics.com/n/138074802001657400/
The information we have on file for 138074802001657400 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 138074802001657400, math, Factors of 138074802001657400, curriculum, school, college, exams, university, Prime factorization of 138074802001657400, STEM, science, technology, engineering, physics, economics, calculator, one hundred thirty-eight quadrillion, seventy-four trillion, eight hundred two billion, one million, six hundred fifty-seven thousand, four hundred.