138126874224960
138,126,874,224,960 is an even composite number composed of five prime numbers multiplied together.
What does the number 138126874224960 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 1344 divisors.
138126874224960 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one thousand, three hundred forty-four divisors.
Prime factorization of 138126874224960:
26 × 37 × 5 × 312 × 593
(2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 5 × 31 × 31 × 59 × 59 × 59)See below for interesting mathematical facts about the number 138126874224960 from the Numbermatics database.
Names of 138126874224960
- Cardinal: 138126874224960 can be written as One hundred thirty-eight trillion, one hundred twenty-six billion, eight hundred seventy-four million, two hundred twenty-four thousand, nine hundred sixty.
Scientific notation
- Scientific notation: 1.3812687422496 × 1014
Factors of 138126874224960
Divisors of 138126874224960
- Number of divisors d(n): 1344
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 31 32 36 40 45 48 54 59 60 62 64 72 80 81 90 93 96 108 118 120 124 135 144 155 160 162 177 180 186 192 216 236 240 243 248 270 279 288 295 310 320 324 354 360 372 405 432 465 472 480 486 496 531 540 558 576 590 620 648 708 720 729 744 810 837 864 885 930 944 960 961 972 992 1062 1080 1116 1180 1215 1240 1296 1395 1416 1440 1458 1488 1593 1620 1674 1728 1770 1829 1860 1888 1922 1944 1984 2124 2160 2187 2232 2360 2430 2480 2511 2592 2655 2790 2832 2880 2883 2916 2976 3186 3240 3348 3481 3540 3645 3658 3720 3776 3844 3888 4185 4248 4320 4374 4464 4720 4779 4805 4860 4960 5022 5184 5310 5487 5580 5664 5766 5832 5952 6372 6480 6696 6962 7080 7290 7316 7440 7533 7688 7776 7965 8370 8496 8640 8649 8748 8928 9145 9440 9558 9610 9720 9920 10044 10443 10620 10935 10974 11160 11328 11532 11664 12555 12744 12960 13392 13924 14160 14337 14415 14580 14632 14880 15066 15376 15552 15930 16461 16740 16992 17298 17405 17496 17856 18290 18880 19116 19220 19440 20088 20886 21240 21870 21948 22320 22599 23064 23328 23895 25110 25488 25920 25947 26784 27435 27848 28320 28674 28830 29160 29264 29760 30132 30752 31329 31860 32922 33480 33984 34596 34810 34992 36580 37665 38232 38440 38880 40176 41772 42480 43011 43245 43740 43896 44640 45198 46128 46656 47790 49383 50220 50976 51894 52215 53568 54870 55696 56640 56699 57348 57660 58320 58528 60264 61504 62658 63720 65844 66960 67797 69192 69620 69984 71685 73160 75330 76464 76880 77760 77841 80352 82305 83544 84960 86022 86490 87480 87792 89280 90396 92256 93987 95580 98766 100440 101952 103788 104430 107911 109740 111392 112995 113398 114696 115320 116640 117056 120528 125316 127440 129033 129735 131688 133920 135594 138384 139240 139968 143370 146320 148149 150660 152928 153760 155682 156645 160704 164610 167088 169920 170097 172044 172980 174960 175584 180792 184512 187974 191160 197532 200880 205379 207576 208860 215055 215822 219480 222784 225990 226796 229392 230640 233280 233523 241056 246915 250632 254880 258066 259470 263376 267840 271188 276768 278480 281961 283495 286740 292640 296298 301320 305856 307520 311364 313290 323733 329220 334176 338985 340194 344088 345960 349920 351168 361584 375948 382320 389205 395064 401760 410758 415152 417720 430110 431644 438960 444447 451980 453592 458784 461280 467046 469935 482112 493830 501264 509760 510291 516132 518940 526752 539555 542376 553536 556960 563922 566990 573480 585280 592596 602640 616137 622728 626580 645165 647466 658440 668352 677970 680388 688176 691920 699840 700569 723168 740745 751896 764640 778410 790128 803520 821516 830304 835440 845883 850485 860220 863288 877920 888894 903960 907184 917568 922560 934092 939870 971199 987660 1002528 1020582 1026895 1032264 1037880 1053504 1079110 1084752 1113920 1127844 1133980 1146960 1167615 1185192 1205280 1232274 1245456 1253160 1290330 1294932 1316880 1333341 1355940 1360776 1376352 1383840 1401138 1409805 1446336 1481490 1503792 1529280 1530873 1556820 1580256 1618665 1643032 1660608 1670880 1691766 1700970 1720440 1726576 1755840 1777788 1807920 1814368 1848411 1868184 1879740 1942398 1975320 2005056 2041164 2053790 2064528 2075760 2101707 2158220 2169504 2222235 2255688 2267960 2293920 2335230 2370384 2410560 2464548 2490912 2506320 2537649 2551455 2580660 2589864 2633760 2666682 2711880 2721552 2752704 2767680 2802276 2819610 2913597 2962980 3007584 3061746 3080685 3113640 3160512 3237330 3286064 3341760 3345241 3383532 3401940 3440880 3453152 3502845 3555576 3615840 3628736 3696822 3736368 3759480 3884796 3950640 4000023 4082328 4107580 4129056 4151520 4203414 4229415 4316440 4339008 4444470 4511376 4535920 4587840 4592619 4670460 4740768 4855995 4929096 4981824 5012640 5075298 5102910 5161320 5179728 5267520 5333364 5423760 5443104 5545233 5604552 5639220 5827194 5925960 6015168 6123492 6161370 6227280 6366749 6474660 6572128 6666705 6690482 6767064 6803880 6881760 6906304 7005690 7111152 7231680 7393644 7472736 7518960 7612947 7654365 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2062826676 2097789840 2167716168 2204457120 2245819365 2292029640 2360013570 2368430628 2395540656 2408573520 2436143040 2438680689 2480014260 2517347808 2578533345 2645348544 2661711840 2709645210 2750435568 2797053120 2890288224 2960538285 2994425820 3056039520 3094240014 3146684760 3157907504 3194054208 3211431360 3251574252 3306685680 3438044460 3552645942 3593310984 3612860280 3667247424 3776021712 3947384380 3968022816 3992567760 4064467815 4125653352 4195579680 4335432336 4408914240 4491638730 4584059280 4641360021 4720027140 4736861256 4791081312 4817147040 4877361378 4960028520 5034695616 5157066690 5323423680 5328968913 5419290420 5500871136 5780576448 5921076570 5988851640 6112079040 6188480028 6293369520 6315815008 6503148504 6613371360 6876088920 7105291884 7186621968 7225720560 7316042067 7552043424 7735600035 7894768760 7936045632 7985135520 8128935630 8251306704 8391159360 8670864672 8881614855 8983277460 9168118560 9282720042 9440054280 9473722512 9582162624 9634294080 9754722756 9920057040 10314133380 10657937826 10838580840 11001742272 11842153140 11977703280 12193403445 12376960056 12586739040 12631630016 13006297008 13226742720 13752177840 13924080063 14210583768 14373243936 14451441120 14632084134 15104086848 15471200070 15789537520 15970271040 15986906739 16257871260 16502613408 17341729344 17763229710 17966554920 18336237120 18565440084 18880108560 18947445024 19509445512 19840114080 20628266760 21315875652 21677161680 23206800105 23684306280 23955406560 24386806890 24753920112 25173478080 26012594016 26644844565 27504355680 27848160126 28421167536 28746487872 28902882240 29264168268 30942400140 31579075040 31973813478 32515742520 33005226816 35526459420 35933109840 36580210335 37130880168 37760217120 37894890048 39018891024 39680228160 41256533520 42631751304 43354323360 46413600210 47368612560 47910813120 47960720217 48773613780 49507840224 52025188032 53289689130 55008711360 55696320252 56842335072 58528336536 61884800280 63158150080 63947626956 65031485040 69620400315 71052918840 71866219680 73160420670 74261760336 75520434240 78037782048 79934533695 82513067040 85263502608 86708646720 92827200420 94737225120 95921440434 97547227560 99015680448 106579378260 111392640504 113684670144 117056673072 123769600560 127895253912 130062970080 139240800630 142105837680 143732439360 143882160651 146320841340 148523520672 156075564096 159869067390 165026134080 170527005216 185654400840 189474450240 191842880868 195094455120 213158756520 222785281008 234113346144 239803601085 247539201120 255790507824 260125940160 278481601260 284211675360 287764321302 292641682680 297047041344 319738134780 341054010432 371308801680 383685761736 390188910240 426317513040 431646481953 445570562016 468226692288 479607202170 495078402240 511581015648 556963202520 568423350720 575528642604 585283365360 639476269560 719410803255 742617603360 767371523472 780377820480 852635026080 863292963906 891141124032 959214404340 1023162031296 1113926405040 1151057285208 1170566730720 1278952539120 1438821606510 1485235206720 1534743046944 1705270052160 1726585927812 1918428808680 2158232409765 2227852810080 2302114570416 2341133461440 2557905078240 2877643213020 3069486093888 3453171855624 3836857617360 4316464819530 4455705620160 4604229140832 5115810156480 5755286426040 6906343711248 7673715234720 8632929639060 9208458281664 11510572852080 13812687422496 15347430469440 17265859278120 23021145704160 27625374844992 34531718556240 46042291408320 69063437112480 138126874224960
- Sum of all divisors σ(n): 518511127161600
- Sum of proper divisors (its aliquot sum) s(n): 380384252936640
- 138126874224960 is an abundant number, because the sum of its proper divisors (380384252936640) is greater than itself. Its abundance is 242257378711680
Bases of 138126874224960
- Binary: 111110110100000001010110100010110101001010000002
- Hexadecimal: 0x7DA02B45A940
- Base-36: 1CYMLYL000
Squares and roots of 138126874224960
- 138126874224960 squared (1381268742249602) is 19079033383157919200687001600
- 138126874224960 cubed (1381268742249603) is 2635327244449266977410679686827546279936000
-
The
square root of 138126874224960 is 11752739.0094803007 -
The
cube root of 138126874224960 is 51692.3244238481
Scales and comparisons
How big is 138126874224960?- 138,126,874,224,960 seconds is equal to 4,392,007 years, 17 weeks, 6 days, 21 hours, 36 minutes.
-
To count from 1 to 138,126,874,224,960 would take you about ten million, nine hundred eighty thousand and eighteen 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 138126874224960 cubic inches would be around 4307.7 feet tall.
Recreational maths with 138126874224960
- 138126874224960 backwards is 069422478621831
- The number of decimal digits it has is: 15
- The sum of 138126874224960's digits is 63
- More coming soon!
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"Number 138126874224960 - Facts about the integer". Numbermatics.com. 2024. Web. 14 May 2024.
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Numbermatics. (2024). Number 138126874224960 - Facts about the integer. Retrieved 14 May 2024, from https://numbermatics.com/n/138126874224960/
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The information we have on file for 138126874224960 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 138126874224960, math, Factors of 138126874224960, curriculum, school, college, exams, university, Prime factorization of 138126874224960, STEM, science, technology, engineering, physics, economics, calculator, one hundred thirty-eight trillion, one hundred twenty-six billion, eight hundred seventy-four million, two hundred twenty-four thousand, nine hundred sixty.