138132076635603600
138,132,076,635,603,600 is an even composite number composed of eight prime numbers multiplied together.
What does the number 138132076635603600 look like?
This visualization shows the relationship between its 8 prime factors (large circles) and 1920 divisors.
138132076635603600 is an even composite number. It is composed of eight distinct prime numbers multiplied together. It has a total of one thousand, nine hundred twenty divisors.
Prime factorization of 138132076635603600:
24 × 3 × 52 × 113 × 113 × 181 × 257 × 16453
(2 × 2 × 2 × 2 × 3 × 5 × 5 × 11 × 11 × 11 × 113 × 181 × 257 × 16453)See below for interesting mathematical facts about the number 138132076635603600 from the Numbermatics database.
Names of 138132076635603600
- Cardinal: 138132076635603600 can be written as One hundred thirty-eight quadrillion, one hundred thirty-two trillion, seventy-six billion, six hundred thirty-five million, six hundred three thousand, six hundred.
Scientific notation
- Scientific notation: 1.381320766356036 × 1017
Factors of 138132076635603600
Divisors of 138132076635603600
- Number of divisors d(n): 1920
-
Complete list of divisors:
1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 25 30 33 40 44 48 50 55 60 66 75 80 88 100 110 113 120 121 132 150 165 176 181 200 220 226 240 242 257 264 275 300 330 339 362 363 400 440 452 484 514 528 543 550 565 600 605 660 678 724 726 771 825 880 904 905 968 1028 1086 1100 1130 1200 1210 1243 1285 1320 1331 1356 1448 1452 1542 1650 1695 1808 1810 1815 1936 1991 2056 2172 2200 2260 2420 2486 2570 2640 2662 2712 2715 2825 2827 2896 2904 3025 3084 3300 3390 3620 3630 3729 3855 3982 3993 4112 4344 4400 4520 4525 4840 4972 5140 5324 5424 5430 5650 5654 5808 5973 6050 6168 6215 6425 6600 6655 6780 7240 7260 7458 7710 7964 7986 8475 8481 8688 9040 9050 9075 9680 9944 9955 10280 10648 10860 11300 11308 11946 12100 12336 12430 12850 13200 13310 13560 13575 13673 14135 14480 14520 14916 15420 15928 15972 16453 16950 16962 18100 18150 18645 19275 19888 19910 19965 20453 20560 21296 21720 21901 22600 22616 23892 24200 24860 25700 26620 27120 27150 27346 28270 29040 29041 29832 29865 30840 31075 31097 31856 31944 32906 33275 33900 33924 36200 36300 37290 38550 39820 39930 40906 41019 42405 43440 43802 45200 45232 46517 47784 48400 49359 49720 49775 51400 53240 54300 54692 56540 58082 59664 59730 61359 61680 62150 62194 63888 65703 65812 66550 67800 67848 68365 70675 72400 72600 74580 77100 79640 79860 81812 82038 82265 84810 87123 87604 93034 93225 93291 95568 98718 99440 99550 99825 102265 102800 106480 108600 109384 109505 113080 116164 119460 122718 124300 124388 131406 131624 133100 135600 135696 136730 139551 141350 145200 145205 149160 149325 150403 154200 155485 159280 159720 163624 164076 164530 169620 174246 175208 180983 186068 186450 186582 197436 199100 199650 204530 205095 212025 217200 218768 219010 224983 226160 232328 232585 238920 240911 245436 246795 248600 248776 262812 263248 266200 273460 279102 282700 290410 298320 298650 300806 306795 308400 310970 319440 319451 327248 328152 328515 329060 339240 341825 342067 348492 350416 361966 372136 372900 373164 394872 398200 399300 409060 410190 411325 424050 435615 438020 449966 451209 464656 465170 466455 477840 481822 490872 493590 497200 497552 511325 511687 525624 532400 542949 546920 547525 558204 565400 580820 597300 601612 613590 621940 638902 656304 657030 658120 674949 678480 683650 684134 696984 697755 722733 723932 726025 744272 745800 746328 752015 777425 789744 796400 798600 818120 820380 822650 848100 871230 876040 899932 902418 904915 930340 932910 958353 963644 981744 987180 1022650 1023374 1025475 1026201 1051248 1085898 1093840 1095050 1116408 1124915 1130800 1161640 1162925 1194600 1203224 1204555 1227180 1233975 1243880 1277804 1314060 1316240 1349898 1367300 1368268 1393968 1395510 1445466 1447864 1452050 1491600 1492656 1504030 1533975 1535061 1554850 1597200 1597255 1636240 1640760 1642575 1645300 1696200 1710335 1742460 1752080 1799864 1804836 1809830 1859189 1860680 1865820 1916706 1927288 1974360 1990813 2045300 2046748 2050950 2052402 2171796 2178075 2190100 2232816 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1018673131531 1037806736556 1049444452650 1051185460600 1110493589700 1111279779852 1125605670200 1156304006660 1189112604900 1221542948670 1261422552720 1262817931650 1271934407326 1297258420695 1343697243537 1350726804240 1383742315408 1387564807992 1389099724815 1399259270200 1445380008325 1480658119600 1481706373136 1484748335400 1576778190900 1585483473200 1628723931560 1679111124240 1683757242200 1688408505300 1729677894260 1734456009990 1791596324716 1852132966420 1902645683686 1907901610989 1954468717872 2020508690640 2035904914450 2037346263062 2075613473112 2098888905300 2102370921200 2162097367825 2220987179400 2222559559704 2239495405895 2251211340400 2312608013320 2315166208025 2378225209800 2443085897340 2525635863300 2543868814652 2594516841390 2687394487074 2775129615984 2778199449630 2798518540400 2853968525529 2890760016650 2969496670800 3053857371675 3056019394593 3153556381800 3179836018315 3257447863120 3367514484400 3376817010600 3459355788520 3468912019980 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15280096972965 15899180091575 16287239315600 16298770104496 17296778942600 17344560099900 17915963247160 18521329664200 19026456836860 19079016109890 20373462630620 20756134731120 20929102520546 21499155896592 22225595597040 22394954058950 22831748204232 23126080133200 23783071046075 24430858973400 24448155156744 25438688146520 25466828288275 25945168413900 26873944870740 27781994496300 28539685255290 30526425775824 30560193945930 31393653780819 31798360183150 33592431088425 34593557885200 34689120199800 35831926494320 37042659328400 38052913673720 38158032219780 40746925261240 41858205041092 44789908117900 45663496408464 47566142092150 47697540274725 48861717946800 48896310313488 50877376293040 50933656576550 51890336827800 52322756301365 53747889741480 55563988992600 57079370510580 61120387891860 62787307561638 63596720366300 67184862176850 69378240399600 71349213138225 76105827347440 76316064439560 76400484864825 81493850522480 83716410082184 89579816235800 95132284184300 95395080549450 101867313153100 103780673655600 104645512602730 107495779482960 111127977985200 114158741021160 115110063863003 122240775783720 125574615123276 127193440732600 134369724353700 142698426276450 152632128879120 152800969729650 156968268904095 167432820164368 179159632471600 190264568368600 190790161098900 203734626306200 209291025205460 228317482042320 230220127726006 244481551567440 251149230246552 254386881465200 261613781506825 268739448707400 285396852552900 305601939459300 313936537808190 345330191589009 380529136737200 381580322197800 407469252612400 418582050410920 460440255452012 502298460493104 523227563013650 537478897414800 570793705105800 575550319315015 611203878918600 627873075616380 690660383178018 763160644395600 784841344520475 837164100821840 920880510904024 1046455126027300 1141587410211600 1151100638630030 1222407757837200 1255746151232760 1381320766356036 1569682689040950 1726650957945045 1841761021808048 2092910252054600 2302201277260060 2511492302465520 2762641532712072 2877751596575075 3139365378081900 3453301915890090 4185820504109200 4604402554520120 5525283065424144 5755503193150150 6278730756163800 6906603831780180 8633254789725225 9208805109040240 11511006386300300 12557461512327600 13813207663560360 17266509579450450 23022012772600600 27626415327120720 34533019158900900 46044025545201200 69066038317801800 138132076635603600
- Sum of all divisors σ(n): 495669154934693376
- Sum of proper divisors (its aliquot sum) s(n): 357537078299089776
- 138132076635603600 is an abundant number, because the sum of its proper divisors (357537078299089776) is greater than itself. Its abundance is 219405001663486176
Bases of 138132076635603600
- Binary: 1111010101011111001100100010011111111001111000010100100002
- Hexadecimal: 0x1EABE644FF3C290
- Base-36: 11S3QFZ0B3IO
Squares and roots of 138132076635603600
- 138132076635603600 squared (1381320766356036002) is 19080470595664265966139136332960000
- 138132076635603600 cubed (1381320766356036003) is 2635625026563677457217296445954305179080174656000000
-
The
square root of 138132076635603600 is 371661239.0815103549 -
The
cube root of 138132076635603600 is 516929.7339560951
Scales and comparisons
How big is 138132076635603600?- 138,132,076,635,603,600 seconds is equal to 4,392,172,766 years, 23 weeks, 1 day, 3 hours, 40 minutes.
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To count from 1 to 138,132,076,635,603,600 would take you about thirteen billion, one hundred seventy-six million, five hundred eighteen thousand, two hundred ninety-nine 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 138132076635603600 cubic inches would be around 43077.5 feet tall.
Recreational maths with 138132076635603600
- 138132076635603600 backwards is 006306536670231831
- 138132076635603600 is a
Harshad number . - The number of decimal digits it has is: 18
- The sum of 138132076635603600's digits is 60
- More coming soon!
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The information we have on file for 138132076635603600 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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