138537770148864
138,537,770,148,864 is an even composite number composed of six prime numbers multiplied together.
What does the number 138537770148864 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 1584 divisors.
138537770148864 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one thousand, five hundred eighty-four divisors.
Prime factorization of 138537770148864:
210 × 35 × 17 × 532 × 89 × 131
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 17 × 53 × 53 × 89 × 131)See below for interesting mathematical facts about the number 138537770148864 from the Numbermatics database.
Names of 138537770148864
- Cardinal: 138537770148864 can be written as One hundred thirty-eight trillion, five hundred thirty-seven billion, seven hundred seventy million, one hundred forty-eight thousand, eight hundred sixty-four.
Scientific notation
- Scientific notation: 1.38537770148864 × 1014
Factors of 138537770148864
Divisors of 138537770148864
- Number of divisors d(n): 1584
-
Complete list of divisors:
1 2 3 4 6 8 9 12 16 17 18 24 27 32 34 36 48 51 53 54 64 68 72 81 89 96 102 106 108 128 131 136 144 153 159 162 178 192 204 212 216 243 256 262 267 272 288 306 318 324 356 384 393 408 424 432 459 477 486 512 524 534 544 576 612 636 648 712 768 786 801 816 848 864 901 918 954 972 1024 1048 1068 1088 1152 1179 1224 1272 1296 1377 1424 1431 1513 1536 1572 1602 1632 1696 1728 1802 1836 1908 1944 2096 2136 2176 2227 2304 2358 2403 2448 2544 2592 2703 2754 2809 2848 2862 3026 3072 3144 3204 3264 3392 3456 3537 3604 3672 3816 3888 4131 4192 4272 4293 4352 4454 4539 4608 4716 4717 4806 4896 5088 5184 5406 5508 5618 5696 5724 6052 6288 6408 6528 6681 6784 6912 6943 7074 7208 7209 7344 7632 7776 8109 8262 8384 8427 8544 8586 8704 8908 9078 9216 9432 9434 9612 9792 10176 10368 10611 10812 11016 11236 11392 11448 11659 12104 12576 12816 12879 13056 13362 13568 13617 13824 13886 14148 14151 14416 14418 14688 15264 15552 16218 16524 16768 16854 17088 17172 17408 17816 18156 18864 18868 19224 19584 20043 20352 20736 20829 21222 21624 21627 22032 22472 22784 22896 23318 24208 24327 25152 25281 25632 25758 26112 26724 27136 27234 27648 27772 28296 28302 28832 28836 29376 30528 31104 31833 32436 33048 33536 33708 34176 34344 34977 35632 36312 37728 37736 38448 39168 40086 40704 40851 41472 41658 42444 42453 43248 43254 44064 44944 45568 45792 46636 47753 48416 48654 50304 50562 51264 51516 52224 53448 54272 54468 55544 56592 56604 57664 57672 58752 60129 61056 62208 62487 63666 64872 66096 67072 67416 68352 68688 69954 71264 72624 72981 75456 75472 75843 76896 78336 80172 80189 81408 81702 82944 83316 84888 84906 86496 86508 88128 89888 91136 91584 93272 95506 96832 97308 100608 101124 102528 103032 104931 106896 108936 111088 113184 113208 115328 115344 117504 118031 120258 122112 122553 124416 124974 127332 127359 129744 132192 134144 134832 136704 137376 139908 142528 143259 145248 145962 150912 150944 151686 153792 156672 160344 160378 162816 163404 166632 169776 169812 172992 173016 176256 179776 180387 183168 186544 187461 191012 193664 194616 198203 201216 202248 205056 206064 209862 213792 217872 218943 222176 226368 226416 227529 230656 230688 235008 236062 240516 240567 244224 245106 248832 249948 250001 254664 254718 259488 264384 269664 273408 274752 279816 285056 286518 290496 291924 301824 301888 303372 307584 314793 320688 320756 326808 333264 339552 339624 345984 346032 352512 354093 359552 360774 366336 367659 367979 373088 374922 382024 382077 387328 389232 396406 402432 404496 410112 412128 419724 427584 429777 435744 437886 444352 452736 452832 455058 461312 461376 470016 472124 481032 481134 488448 490212 499896 500002 509328 509436 518976 528768 539328 541161 549504 559632 562383 570112 573036 580992 583848 594609 603648 603776 606744 615168 617927 629586 641376 641512 653616 666528 679104 679248 682587 691968 692064 705024 708186 719104 721548 721701 732672 735318 735958 746176 749844 750003 764048 764154 774656 778464 792812 808992 820224 824256 839448 855168 859554 871488 875772 888704 905472 905664 910116 922624 922752 944248 944379 962064 962268 980424 999792 1000004 1018656 1018872 1037952 1057536 1062279 1078656 1082322 1099008 1103937 1119264 1124766 1140224 1146072 1146231 1161984 1167696 1189218 1207296 1207552 1213488 1230336 1235854 1259172 1282752 1283024 1289331 1307232 1333056 1358208 1358496 1365174 1383936 1384128 1410048 1416372 1438208 1443096 1443402 1465344 1470636 1471916 1492352 1499688 1500006 1528096 1528308 1549312 1556928 1585624 1617984 1648512 1678896 1687149 1710336 1719108 1742976 1751544 1777408 1783827 1810944 1811328 1820232 1845504 1853781 1888496 1888758 1924128 1924536 1960848 1999584 2000008 2037312 2037744 2075904 2115072 2124558 2157312 2164644 2165103 2198016 2207874 2238528 2249532 2250009 2280448 2292144 2292462 2323968 2335392 2378436 2415104 2426976 2460672 2471708 2518344 2565504 2566048 2578662 2614464 2666112 2716416 2716992 2730348 2767872 2768256 2832744 2833137 2876416 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9513744 9560511 9707904 9886832 9935433 10073376 10262016 10264192 10314648 10457856 10504759 10664448 10702962 10865664 10867968 10921392 11073024 11122686 11330976 11332548 11544768 11547216 11603979 11765088 11775328 11938816 11997504 12000048 12224768 12226464 12455424 12511286 12684992 12747348 12750051 12943872 12990618 13188096 13247244 13431168 13497192 13500054 13752864 13943808 14012352 14270616 14490624 14561856 14830248 15107968 15110064 15393024 15396288 15471972 15686784 15996672 16000064 16054443 16298496 16301952 16684029 16996464 17000068 17317152 17320824 17662992 17908224 17996256 18000072 18337152 18339696 18683136 18766929 19027488 19121022 19415808 19485927 19773664 19870866 20146752 20250081 20524032 20528384 20629296 20915712 21009518 21328896 21405924 21735936 21842784 22146048 22245372 22661952 22665096 23089536 23094432 23207958 23530176 23550656 23995008 24000096 24449536 24452928 24910848 25022572 25369984 25494696 25500102 25887744 25981236 26494488 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77663232 77943708 79094656 79483464 80587008 81000324 82113536 82517184 84038072 85623696 87371136 88981488 89418897 90647808 90660384 92358144 92377728 92831832 94120704 94202624 94542831 95980032 96000384 96326658 97811712 98250393 100090288 100104174 101479936 101978784 102000408 103924944 105977952 107449344 107977536 108000432 110022912 112098816 112601574 114164928 114726132 114750459 116494848 118641984 119225196 120863744 120880512 121500486 123170304 123775776 125494272 126057108 128000512 128435544 130415616 131000524 133472232 135971712 136000544 138537216 138566592 141303936 143970048 144000576 146697216 146717568 150135432 150156261 152219904 152968176 153000612 155887416 158189312 158966928 161174016 162000648 165034368 168076144 168902361 171247392 174742272 177962976 178837794 181295616 181320768 184716288 184755456 185663664 188241408 188405248 189085662 191960064 192000768 192653316 195623424 196500786 200180576 200208348 202959872 203957568 204000816 207849888 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40086160344 40842502992 42444169776 43239004416 44064176256 45096930387 45782475264 48405929472 48643879968 49319248896 50304201216 51253337088 53448213792 54456670656 56592226368 57652005888 58752235008 60129240516 62208248832 63666254664 64858506624 66096264384 71264285056 72608894208 75456301824 76880005632 80172320688 81685005984 84888339552 86478008832 88128352512 90193860774 91564950528 96811858944 97287759936 100608402432 106896427584 108913341312 113184452736 117504470016 120258481032 127332509328 129717013248 132192528768 135290791161 142528570112 145217788416 150912603648 153760011264 160344641376 163370011968 169776679104 172956017664 176256705024 180387721548 194575519872 213792855168 217826682624 226368905472 240516962064 254665018656 259434026496 264385057536 270581582322 285057140224 290435576832 301825207296 320689282752 326740023936 339553358208 352513410048 360775443096 389151039744 427585710336 435653365248 452737810944 481033924128 509330037312 518868052992 528770115072 541163164644 570114280448 641378565504 653480047872 679106716416 721550886192 778302079488 855171420672 871306730496 905475621888 962067848256 1018660074624 1057540230144 1082326329288 1282757131008 1306960095744 1358213432832 1443101772384 1556604158976 1710342841344 1924135696512 2037320149248 2164652658576 2565514262016 2613920191488 2716426865664 2886203544768 3848271393024 4074640298496 4329305317152 5131028524032 5772407089536 7696542786048 8149280596992 8658610634304 11544814179072 15393085572096 17317221268608 23089628358144 34634442537216 46179256716288 69268885074432 138537770148864
- Sum of all divisors σ(n): 456172940583360
- Sum of proper divisors (its aliquot sum) s(n): 317635170434496
- 138537770148864 is an abundant number, because the sum of its proper divisors (317635170434496) is greater than itself. Its abundance is 179097400285632
Bases of 138537770148864
- Binary: 111110111111111110101101001001111100100000000002
- Hexadecimal: 0x7DFFD693E400
- Base-36: 1D3VDFEO00
Squares and roots of 138537770148864
- 138537770148864 squared (1385377701488642) is 19192713757819473208720490496
- 138537770148864 cubed (1385377701488643) is 2658915767113734021754919366365001017196544
-
The
square root of 138537770148864 is 11770206.8864087517 -
The
cube root of 138537770148864 is 51743.5313033021
Scales and comparisons
How big is 138537770148864?- 138,537,770,148,864 seconds is equal to 4,405,072 years, 29 weeks, 2 days, 18 hours, 14 minutes, 24 seconds.
-
To count from 1 to 138,537,770,148,864 would take you about eleven million, twelve thousand, six hundred eighty-one 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 138537770148864 cubic inches would be around 4312 feet tall.
Recreational maths with 138537770148864
- 138537770148864 backwards is 468841077735831
- 138537770148864 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 138537770148864's digits is 72
- More coming soon!
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"Number 138537770148864 - Facts about the integer". Numbermatics.com. 2024. Web. 7 June 2024.
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Numbermatics. (2024). Number 138537770148864 - Facts about the integer. Retrieved 7 June 2024, from https://numbermatics.com/n/138537770148864/
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The information we have on file for 138537770148864 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!
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