138448376511120
138,448,376,511,120 is an even composite number composed of seven prime numbers multiplied together.
What does the number 138448376511120 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 1440 divisors.
138448376511120 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of one thousand, four hundred forty divisors.
Prime factorization of 138448376511120:
24 × 33 × 5 × 13 × 19 × 892 × 1812
(2 × 2 × 2 × 2 × 3 × 3 × 3 × 5 × 13 × 19 × 89 × 89 × 181 × 181)See below for interesting mathematical facts about the number 138448376511120 from the Numbermatics database.
Names of 138448376511120
- Cardinal: 138448376511120 can be written as One hundred thirty-eight trillion, four hundred forty-eight billion, three hundred seventy-six million, five hundred eleven thousand, one hundred twenty.
Scientific notation
- Scientific notation: 1.3844837651112 × 1014
Factors of 138448376511120
Divisors of 138448376511120
- Number of divisors d(n): 1440
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 13 15 16 18 19 20 24 26 27 30 36 38 39 40 45 48 52 54 57 60 65 72 76 78 80 89 90 95 104 108 114 117 120 130 135 144 152 156 171 178 180 181 190 195 208 216 228 234 240 247 260 267 270 285 304 312 342 351 356 360 362 380 390 432 445 456 468 494 513 520 534 540 543 570 585 624 684 702 712 720 724 741 760 780 801 855 890 905 912 936 988 1026 1040 1068 1080 1086 1140 1157 1170 1235 1335 1368 1404 1424 1448 1482 1520 1560 1602 1629 1691 1710 1755 1780 1810 1872 1976 2052 2136 2160 2172 2223 2280 2314 2340 2353 2403 2470 2565 2670 2715 2736 2808 2896 2964 3120 3204 3258 3382 3420 3439 3471 3510 3560 3620 3705 3952 4005 4104 4272 4344 4446 4560 4628 4680 4706 4806 4887 4940 5073 5130 5340 5430 5616 5785 5928 6408 6516 6669 6764 6840 6878 6942 7020 7059 7120 7240 7410 7921 8010 8145 8208 8455 8688 8892 9256 9360 9412 9612 9774 9880 10146 10260 10317 10413 10680 10860 11115 11570 11765 11856 12015 12816 13032 13338 13528 13680 13756 13884 14040 14118 14480 14820 15219 15842 16020 16109 16290 16910 17195 17355 17784 18512 18824 19224 19548 19760 20292 20520 20634 20826 21177 21360 21720 21983 22230 23140 23530 23763 24030 24435 25365 26064 26676 27056 27512 27768 28080 28236 29640 30438 30951 31239 31684 32040 32218 32580 32761 33345 33820 34390 34710 35295 35568 37648 38448 39096 39605 40584 41040 41268 41652 42354 43440 43966 44460 44707 45657 46280 47060 47526 48060 48327 48870 50730 51585 52065 53352 55024 55536 56472 59280 60876 61902 62478 63368 63531 64080 64436 65160 65522 65949 66690 67640 68780 69420 70590 71289 76095 78192 79210 80545 81168 82536 83304 84708 87932 88920 89414 91314 92560 92853 94120 95052 96120 96654 97740 98283 101460 102973 103170 104130 105885 106704 109915 112944 118815 121752 123804 124956 126736 127062 128872 130320 131044 131898 133380 134121 135280 137560 138840 141180 142578 144981 150499 152190 154755 156195 158420 161090 163805 165072 166608 169416 175864 177840 178828 182628 185706 188240 190104 192240 193308 195480 196566 197847 202920 205946 206340 208260 209417 211770 213867 219830 223535 228285 237630 241635 243504 247608 249912 254124 257744 262088 263796 266760 268242 275120 277680 282360 285156 289962 294849 300998 304380 306071 308919 309510 312390 316840 317655 322180 327610 329745 338832 351728 356445 357656 365256 371412 380208 386616 390960 393132 395694 402363 405840 411892 412680 416520 418834 423540 425893 427734 434943 439660 447070 451497 456570 464265 475260 483270 491415 495216 499824 508248 514865 524176 527592 533520 536484 564720 570312 579924 589698 593541 601996 608760 612142 617838 619020 622459 624780 628251 633680 635310 644360 655220 659490 670605 712890 715312 724905 730512 742824 752495 773232 786264 791388 804726 823784 825360 833040 837668 847080 851786 855468 869886 879320 884547 894140 902994 913140 918213 926757 928530 950520 966540 982830 989235 1016496 1029730 1047085 1055184 1069335 1072968 1140624 1159848 1179396 1187082 1203992 1207089 1217520 1224284 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5364840 5417964 5509278 5560542 5602131 5654259 5703120 5734804 5799240 5831458 5869461 5896980 5935410 6019960 6035445 6121420 6178380 6224590 6282510 6388395 6437808 6772455 6814288 6959088 7076376 7168505 7223952 7345704 7414056 7428240 7469508 7539012 7666074 7825948 7862640 7913880 7957846 8047260 8091967 8126946 8237840 8263917 8376680 8517860 8554680 8602206 8698860 8747187 8845470 9029940 9182130 9267570 9336885 9423765 9496656 9656712 9782435 9959344 10052016 10221432 10729680 10835928 11018556 11121084 11204262 11308518 11469608 11499111 11598480 11662916 11738922 11793960 11870820 11936769 12039920 12070890 12242840 12356760 12449180 12565020 12776790 12903309 13544910 13773195 13901355 14152752 14337010 14578645 14691408 14828112 14939016 15078024 15332148 15651896 15827760 15915692 16094520 16183934 16253892 16527834 16753360 16806393 17035720 17109360 17204412 17397720 17494374 17608383 17690940 18059880 18364260 18535140 18638113 18673770 18847530 19165185 19313424 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997179318 1006458102 1023420879 1032264720 1037999524 1049662440 1056502980 1062372441 1074309210 1089612760 1092415545 1107977020 1118286780 1137134310 1165243248 1225814355 1259594928 1297499405 1307535312 1329572424 1341944136 1344511440 1364561172 1408670640 1416496588 1432412280 1440370126 1456554060 1470977226 1491049040 1495768977 1516179080 1548397080 1556999286 1574493660 1634419140 1661965530 1677430170 1705701465 1718894736 1747864872 1770620735 1819414896 1942072080 1961302968 1994358636 2012916204 2046841758 2075999048 2099324880 2113005960 2124744882 2148618420 2160555189 2179225520 2184831090 2215954040 2236573560 2274268620 2335498929 2451628710 2492948295 2516145255 2594998810 2659144848 2683888272 2729122344 2832993176 2864824560 2880740252 2913108120 2941954452 2991537954 3032358160 3096794160 3113998572 3148987320 3187117323 3268838280 3323931060 3354860340 3373498453 3411402930 3495729744 3541241470 3600925315 3677443065 3892498215 3922605936 3988717272 4025832408 4093683516 4151998096 4226011920 4249489764 4297236840 4321110378 4369662180 4431908080 4473147120 4548537240 4670997858 4903257420 4930497739 4985896590 5032290510 5117104395 5189997620 5311862205 5458244688 5665986352 5761480504 5826216240 5883908904 5983075908 6227997144 6297974640 6374234646 6481665567 6537676560 6647862120 6709720680 6746996906 6822805860 7006496787 7082482940 7201850630 7354886130 7478844885 7784996430 7977434544 8051664816 8187367032 8498979528 8594473680 8642220756 8739324360 9097074480 9341995716 9561351969 9806514840 9860995478 9971793180 10064581020 10120495359 10234208790 10379995240 10623724410 10802775945 11522961008 11677494645 11767817808 11966151816 12455994288 12748469292 12963331134 13295724240 13419441360 13493993812 13645611720 14012993574 14164965880 14403701260 14709772260 14791493217 14957689770 15569992860 15935586615 16374734064 16867492265 16997959056 17284441512 17478648720 18683991432 19122703938 19444996701 19613029680 19721990956 19943586360 20129162040 20240990718 20468417580 20759990480 21247448820 21605551890 23354989290 23932303632 24652488695 25496938584 25926662268 26987987624 27291223440 28025987148 28329931760 28807402520 29419544520 29582986434 29915379540 30361486077 31139985720 31871173230 32408327835 33734984530 34568883024 35032483935 37367982864 38245407876 38889993402 39443981912 39887172720 40258324080 40481981436 40936835160 42494897640 43211103780 44374479651 46709978580 47806759845 49304977390 50602476795 50993877168 51853324536 53975975248 56051974296 57614805040 58839089040 59165972868 59830759080 60722972154 62279971440 63742346460 64096470607 64816655670 67469969060 70064967870 73957466085 76490815752 77779986804 78887963824 80963962872 81873670320 84989795280 86422207560 88748959302 91084458231 93419957160 95613519690 97224983505 98609954780 101204953590 103706649072 112103948592 118331945736 119661518160 121445944308 127484692920 128192941214 129633311340 133123438953 134939938120 140129935740 147914932170 151807430385 152981631504 155559973608 161927925744 172844415120 177497918604 182168916462 186839914320 191227039380 192289411821 194449967010 197219909560 202409907180 221872398255 236663891472 242891888616 254969385840 256385882428 259266622680 266246877906 269879876240 280259871480 295829864340 303614860770 311119947216 320482353035 354995837208 364337832924 382454078760 384578823642 388899934020 394439819120 404819814360 443744796510 455422291155 485783777232 512771764856 518533245360 532493755812 560519742960 576868235463 591659728680 607229721540 640964706070 665617194765 709991674416 728675665848 764908157520 769157647284 777799868040 809639628720 887489593020 910844582310 961447059105 1025543529712 1064987511624 1153736470926 1183319457360 1214459443080 1281929412140 1331234389530 1457351331696 1538315294568 1555599736080 1730604706389 1774979186040 1821689164620 1922894118210 2129975023248 2307472941852 2428918886160 2563858824280 2662468779060 2884341177315 3076630589136 3461209412778 3549958372080 3643378329240 3845788236420 4614945883704 5127717648560 5324937558120 5768682354630 6922418825556 7286756658480 7691576472840 8653023531945 9229891767408 10649875116240 11537364709260 13844837651112 15383152945680 17306047063890 23074729418520 27689675302224 34612094127780 46149458837040 69224188255560 138448376511120
- Sum of all divisors σ(n): 549769756233600
- Sum of proper divisors (its aliquot sum) s(n): 411321379722480
- 138448376511120 is an abundant number, because the sum of its proper divisors (411321379722480) is greater than itself. Its abundance is 272873003211360
Bases of 138448376511120
- Binary: 111110111101011000001100100110100111010100100002
- Hexadecimal: 0x7DEB064D3A90
- Base-36: 1D2QB0QRO0
Squares and roots of 138448376511120
- 138448376511120 squared (1384483765111202) is 19167952958564844143483654400
- 138448376511120 cubed (1384483765111203) is 2653771968154822078540086072842619836928000
-
The
square root of 138448376511120 is 11766408.8196492647 -
The
cube root of 138448376511120 is 51732.3994708165
Scales and comparisons
How big is 138448376511120?- 138,448,376,511,120 seconds is equal to 4,402,230 years, 6 weeks, 3 days, 4 hours, 12 minutes.
-
To count from 1 to 138,448,376,511,120 would take you about eleven million, five thousand, five hundred seventy-five 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 138448376511120 cubic inches would be around 4311 feet tall.
Recreational maths with 138448376511120
- 138448376511120 backwards is 021115673844831
- 138448376511120 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 138448376511120's digits is 54
- More coming soon!
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"Number 138448376511120 - Facts about the integer". Numbermatics.com. 2024. Web. 15 June 2024.
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Numbermatics. (2024). Number 138448376511120 - Facts about the integer. Retrieved 15 June 2024, from https://numbermatics.com/n/138448376511120/
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The information we have on file for 138448376511120 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 138448376511120, math, Factors of 138448376511120, curriculum, school, college, exams, university, Prime factorization of 138448376511120, STEM, science, technology, engineering, physics, economics, calculator, one hundred thirty-eight trillion, four hundred forty-eight billion, three hundred seventy-six million, five hundred eleven thousand, one hundred twenty.