138318157074006000
138,318,157,074,006,000 is an even composite number composed of six prime numbers multiplied together.
138318157074006000 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of seven hundred twenty divisors.
Prime factorization of 138318157074006000:
24 × 32 × 53 × 7 × 132 × 6495639949
(2 × 2 × 2 × 2 × 3 × 3 × 5 × 5 × 5 × 7 × 13 × 13 × 6495639949)See below for interesting mathematical facts about the number 138318157074006000 from the Numbermatics database.
Names of 138318157074006000
- Cardinal: 138318157074006000 can be written as One hundred thirty-eight quadrillion, three hundred eighteen trillion, one hundred fifty-seven billion, seventy-four million, six thousand.
Scientific notation
- Scientific notation: 1.38318157074006 × 1017
Factors of 138318157074006000
- Number of distinct prime factors ω(n): 6
- Total number of prime factors Ω(n): 13
- Sum of prime factors: 6495639979
Divisors of 138318157074006000
- Number of divisors d(n): 720
-
Complete list of divisors:
1 2 3 4 5 6 7 8 9 10 12 13 14 15 16 18 20 21 24 25 26 28 30 35 36 39 40 42 45 48 50 52 56 60 63 65 70 72 75 78 80 84 90 91 100 104 105 112 117 120 125 126 130 140 144 150 156 168 169 175 180 182 195 200 208 210 225 234 240 250 252 260 273 280 300 312 315 325 336 338 350 360 364 375 390 400 420 450 455 468 500 504 507 520 525 546 560 585 600 624 630 650 676 700 720 728 750 780 819 840 845 875 900 910 936 975 1000 1008 1014 1040 1050 1092 1125 1170 1183 1200 1260 1300 1352 1365 1400 1456 1500 1521 1560 1575 1625 1638 1680 1690 1750 1800 1820 1872 1950 2000 2028 2100 2184 2250 2275 2340 2366 2520 2535 2600 2625 2704 2730 2800 2925 3000 3042 3120 3150 3250 3276 3380 3500 3549 3600 3640 3900 4056 4095 4200 4225 4368 4500 4550 4680 4732 4875 5040 5070 5200 5250 5460 5850 5915 6000 6084 6300 6500 6552 6760 6825 7000 7098 7280 7605 7800 7875 8112 8190 8400 8450 9000 9100 9360 9464 9750 10140 10500 10647 10920 11375 11700 11830 12168 12600 12675 13000 13104 13520 13650 14000 14196 14625 15210 15600 15750 16380 16900 17745 18000 18200 18928 19500 20280 20475 21000 21125 21294 21840 22750 23400 23660 24336 25200 25350 26000 27300 28392 29250 29575 30420 31500 32760 33800 34125 35490 36400 38025 39000 40560 40950 42000 42250 42588 45500 46800 47320 50700 53235 54600 56784 58500 59150 60840 63000 63375 65520 67600 68250 70980 76050 78000 81900 84500 85176 88725 91000 94640 101400 102375 106470 109200 117000 118300 121680 126000 126750 136500 141960 147875 152100 163800 169000 170352 177450 182000 190125 202800 204750 212940 234000 236600 253500 266175 273000 283920 295750 304200 327600 338000 354900 380250 409500 425880 443625 473200 507000 532350 546000 591500 608400 709800 760500 819000 851760 887250 1014000 1064700 1183000 1330875 1419600 1521000 1638000 1774500 2129400 2366000 2661750 3042000 3549000 4258800 5323500 7098000 10647000 21294000 6495639949 12991279898 19486919847 25982559796 32478199745 38973839694 45469479643 51965119592 58460759541 64956399490 77947679388 84443319337 90938959286 97434599235 103930239184 116921519082 129912798980 136408438929 155895358776 162390998725 168886638674 181877918572 194869198470 227347398215 233843038164 253329958011 259825597960 272816877858 292303797705 311790717552 324781997450 337773277348 363755837144 389738396940 409225316787 422216596685 454694796430 467686076328 487172996175 506659916022 519651195920 545633755716 584607595410 591103235359 649563994900 675546554696 682042194645 727511674288 759989874033 779476793880 811954993625 818450633574 844433193370 909389592860 935372152656 974345992350 1013319832044 1091267511432 1097763151381 1136736991075 1169215190820 1182206470718 1266649790055 1299127989800 1351093109392 1364084389290 1461518988525 1519979748066 1558953587760 1623909987250 1636901267148 1688866386740 1773309706077 1818779185720 1948691984700 2026639664088 2046126583935 2111082983425 2182535022864 2195526302762 2273473982150 2338430381640 2364412941436 2435864980875 2533299580110 2598255979600 2728168778580 2923037977050 2955516176795 3039959496132 3247819974500 3273802534296 3293289454143 3377732773480 3410210973225 3546619412154 3637558371440 3799949370165 3897383969400 4053279328176 4092253167870 4222165966850 4391052605524 4546947964300 4676860763280 4728825882872 4871729961750 5066599160220 5319929118231 5456337557160 5488815756905 5683684955375 5846075954100 5911032353590 6079918992264 6333248950275 6495639949000 6547605068592 6586578908286 6755465546960 6820421946450 7093238824308 7307594942625 7599898740330 7684342059667 7794767938800 8184506335740 8444331933700 8782105211048 8866548530385 9093895928600 9457651765744 9743459923500 9879868362429 10133198320440 10230632919675 10555414917125 10639858236462 10912675114320 10977631513810 11367369910750 11692151908200 11822064707180 12159837984528 12666497900550 12991279898000 13173157816572 13640843892900 14186477648616 14615189885250 14777580883975 15199797480660 15368684119334 16369012671480 16466447270715 16888663867400 17051054866125 17564210422096 17733097060770 18187791857200 18999746850825 19486919847000 19759736724858 20266396640880 20461265839350 21110829834250 21279716472924 21955263027620 22734739821500 23053026179001 23384303816400 23644129414360 25332995801100 26346315633144 26599645591155 27281687785800 27444078784525 28372955297232 29230379770500 29555161767950 30399594961320 30737368238668 31666244751375 32738025342960 32932894541430 33777327734800 34102109732250 35466194121540 37999493701650 38421710298335 38973839694000 39519473449716 40922531678700 42221659668500 42559432945848 43910526055240 44332742651925 45469479643000 46106052358002 47288258828720 49399341812145 50665991602200 51153164598375 52692631266288 53199291182310 54563375571600 54888157569050 58460759541000 59110323535900 60799189922640 61474736477336 63332489502750 65865789082860 68204219464500 69159078537003 70932388243080 73887904419875 75998987403300 76843420596670 79038946899432 81845063357400 82332236353575 84443319337000 85118865891696 87821052110480 88665485303850 90938959286000 92212104716004 94998734254125 98798683624290 101331983204400 102306329196750 106398582364620 109776315138100 115265130895005 116921519082000 118220647071800 122949472954672 126664979005500 131731578165720 132998227955775 136408438929000 137220393922625 138318157074006 141864776486160 147775808839750 151997974806600 153686841193340 158077893798864 163690126714800 164664472707150 168886638674000 177330970607700 184424209432008 189997468508250 192108551491675 197597367248580 204612658393500 212797164729240 219552630276200 221663713259625 230530261790010 236441294143600 246996709060725 253329958011000 263463156331440 265996455911550 272816877858000 274440787845250 276636314148012 295551617679500 303995949613200 307373682386680 329328945414300 345795392685015 354661941215400 368848418864016 379994937016500 384217102983350 395194734497160 409225316787000 411661181767875 425594329458480 439105260552400 443327426519250 461060523580020 493993418121450 506659916022000 531992911823100 548881575690500 553272628296024 576325654475025 591103235359000 614747364773360 658657890828600 664991139778875 691590785370030 709323882430800 759989874033000 768434205966700 790389468994320 818450633574000 823322363535750 886654853038500 922121047160040 960542757458375 987986836242900 1063985823646200 1097763151381000 1106545256592048 1152651308950050 1182206470718000 1234983545303625 1317315781657200 1329982279557750 1383181570740060 1519979748066000 1536868411933400 1646644727071500 1728976963425075 1773309706077000 1844242094320080 1921085514916750 1975973672485800 2127971647292400 2195526302762000 2305302617900100 2469967090607250 2659964559115500 2766363141480120 2881628272375125 3073736823866800 3293289454143000 3457953926850150 3546619412154000 3842171029833500 3951947344971600 4610605235800200 4939934181214500 5319929118231000 5532726282960240 5763256544750250 6586578908286000 6915907853700300 7684342059667000 8644884817125375 9221210471600400 9879868362429000 10639858236462000 11526513089500500 13831815707400600 15368684119334000 17289769634250750 19759736724858000 23053026179001000 27663631414801200 34579539268501500 46106052358002000 69159078537003000 138318157074006000
- Sum of all divisors σ(n): 597850594439342400
- Sum of proper divisors (its aliquot sum) s(n): 459532437365336400
- 138318157074006000 is an abundant number, because the sum of its proper divisors (459532437365336400) is greater than itself. Its abundance is 321214280291330400
Bases of 138318157074006000
- Binary: 1111010110110011110100001100010100110000111111111111100002
- Hexadecimal: 0x1EB67A18A61FFF0
- Base-36: 11TXP058VMK0
Squares and roots of 138318157074006000
- 138318157074006000 squared (1383181570740060002) is 19131912576349396059360888036000000
- 138318157074006000 cubed (1383181570740060003) is 2646290888861646573119174035791931531992216000000000
-
The
square root of 138318157074006000 is 371911490.9141770521 -
The
cube root of 138318157074006000 is 517161.7518739689
Scales and comparisons
How big is 138318157074006000?- 138,318,157,074,006,000 seconds is equal to 4,398,089,548 years, 41 weeks, 4 days, 23 hours.
-
To count from 1 to 138,318,157,074,006,000 would take you about thirteen billion, one hundred ninety-four million, two hundred sixty-eight thousand, six hundred forty-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 138318157074006000 cubic inches would be around 43096.8 feet tall.
Recreational maths with 138318157074006000
- 138318157074006000 backwards is 000600470751813831
- The number of decimal digits it has is: 18
- The sum of 138318157074006000'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 138318157074006000 - Facts about the integer". Numbermatics.com. 2024. Web. 23 September 2024.
APA style:
Numbermatics. (2024). Number 138318157074006000 - Facts about the integer. Retrieved 23 September 2024, from https://numbermatics.com/n/138318157074006000/
Chicago style:
Numbermatics. 2024. "Number 138318157074006000 - Facts about the integer". https://numbermatics.com/n/138318157074006000/
The information we have on file for 138318157074006000 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 138318157074006000, math, Factors of 138318157074006000, curriculum, school, college, exams, university, Prime factorization of 138318157074006000, STEM, science, technology, engineering, physics, economics, calculator, one hundred thirty-eight quadrillion, three hundred eighteen trillion, one hundred fifty-seven billion, seventy-four million, six thousand.