138283392316536
138,283,392,316,536 is an even composite number composed of seven prime numbers multiplied together.
138283392316536 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of three hundred eighty-four divisors.
Prime factorization of 138283392316536:
23 × 32 × 31 × 37 × 73 × 137 × 167429
(2 × 2 × 2 × 3 × 3 × 31 × 37 × 73 × 137 × 167429)See below for interesting mathematical facts about the number 138283392316536 from the Numbermatics database.
Names of 138283392316536
- Cardinal: 138283392316536 can be written as One hundred thirty-eight trillion, two hundred eighty-three billion, three hundred ninety-two million, three hundred sixteen thousand, five hundred thirty-six.
Scientific notation
- Scientific notation: 1.38283392316536 × 1014
Factors of 138283392316536
Divisors of 138283392316536
- Number of divisors d(n): 384
-
Complete list of divisors:
1 2 3 4 6 8 9 12 18 24 31 36 37 62 72 73 74 93 111 124 137 146 148 186 219 222 248 274 279 292 296 333 372 411 438 444 548 558 584 657 666 744 822 876 888 1096 1116 1147 1233 1314 1332 1644 1752 2232 2263 2294 2466 2628 2664 2701 3288 3441 4247 4526 4588 4932 5069 5256 5402 6789 6882 8103 8494 9052 9176 9864 10001 10138 10323 10804 12741 13578 13764 15207 16206 16988 18104 20002 20276 20367 20646 21608 24309 25482 27156 27528 30003 30414 32412 33976 38223 40004 40552 40734 41292 45621 48618 50964 54312 60006 60828 64824 76446 80008 81468 82584 83731 90009 91242 97236 101928 120012 121656 152892 157139 162936 167429 167462 180018 182484 194472 240024 251193 305784 310031 314278 334858 334924 360036 364968 370037 471417 502287 502386 620062 628556 669716 669848 720072 740074 753579 930093 942834 1004574 1004772 1110111 1240124 1257112 1339432 1414251 1480148 1506861 1507158 1860186 1885668 2009148 2009544 2220222 2480248 2790279 2828502 2960296 3013722 3014316 3330333 3720372 3771336 4018296 4440444 5190299 5580558 5657004 6027444 6028632 6194873 6660666 7440744 8880888 10380598 11161116 11314008 11471147 12054888 12222317 12389746 13321332 15570897 18584619 20761196 22322232 22937773 22942294 24444634 24779492 26642664 31141794 34413441 36666951 37169238 41522392 45875546 45884588 46712691 48889268 49558984 55753857 62283588 68813319 68826882 73333902 74338476 91751092 91769176 93425382 97778536 103240323 110000853 111507714 124567176 137626638 137653764 146667804 148676952 183502184 186850764 192041063 206439957 206480646 220001706 223015428 275253276 275307528 293335608 373701528 378891827 384082126 412879914 412961292 440003412 446030856 452225729 550506552 576123189 711070963 757783654 768164252 825759828 825922584 848697601 880006824 904451458 1136675481 1152246378 1356677187 1422141926 1515567308 1536328504 1651519656 1674457429 1697395202 1728369567 1808902916 2133212889 2273350962 2304492756 2546092803 2713354374 2844283852 3031134616 3348914858 3394790404 3410026443 3456739134 3617805832 4070031561 4266425778 4546701924 4608985512 5023372287 5092185606 5426708748 5688567704 6399638667 6697829716 6789580808 6820052886 6913478268 7638278409 8140063122 8532851556 9093403848 10046744574 10184371212 10853417496 12799277334 13395659432 13640105772 13826956536 14018997599 15070116861 15276556818 16280126244 17065703112 20093489148 20368742424 25598554668 26309625631 27280211544 28037995198 30140233722 30553113636 32560252488 40186978296 42056992797 51197109336 51908180299 52619251262 56075990396 60280467444 61106227272 61954924873 78928876893 84113985594 103816360598 105238502524 112151980792 120560934888 123909849746 126170978391 155724540897 157857753786 168227971188 185864774619 207632721196 210477005048 236786630679 247819699492 252341956782 311449081794 315715507572 336455942376 371729549238 415265442392 467173622691 473573261358 495639398984 504683913564 557594323857 622898163588 631431015144 743459098476 934347245382 947146522716 1009367827128 1115188647714 1245796327176 1486918196952 1868694490764 1894293045432 1920602671063 2230377295428 3737388981528 3841205342126 4460754590856 5761808013189 7682410684252 11523616026378 15364821368504 17285424039567 23047232052756 34570848079134 46094464105512 69141696158268 138283392316536
- Sum of all divisors σ(n): 405426628339200
- Sum of proper divisors (its aliquot sum) s(n): 267143236022664
- 138283392316536 is an abundant number, because the sum of its proper divisors (267143236022664) is greater than itself. Its abundance is 128859843706128
Bases of 138283392316536
- Binary: 111110111000100100111000111101000110100011110002
- Hexadecimal: 0x7DC49C7A3478
- Base-36: 1D0MIHEWE0
Squares and roots of 138283392316536
- 138283392316536 squared (1382833923165362) is 19122296590569007640419039296
- 138283392316536 cubed (1382833923165363) is 2644296041426812860183412457699853054598656
-
The
square root of 138283392316536 is 11759395.9163103271 -
The
cube root of 138283392316536 is 51711.8420591601
Scales and comparisons
How big is 138283392316536?- 138,283,392,316,536 seconds is equal to 4,396,984 years, 7 weeks, 21 hours, 15 minutes, 36 seconds.
-
To count from 1 to 138,283,392,316,536 would take you about ten million, nine hundred ninety-two thousand, four hundred sixty 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 138283392316536 cubic inches would be around 4309.3 feet tall.
Recreational maths with 138283392316536
- 138283392316536 backwards is 635613293382831
- The number of decimal digits it has is: 15
- The sum of 138283392316536's digits is 63
- More coming soon!
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