138738072576
138,738,072,576 is an even composite number composed of six prime numbers multiplied together.
138738072576 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of three hundred fifty-two divisors.
Prime factorization of 138738072576:
210 × 3 × 23 × 31 × 97 × 653
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 23 × 31 × 97 × 653)See below for interesting mathematical facts about the number 138738072576 from the Numbermatics database.
Names of 138738072576
- Cardinal: 138738072576 can be written as One hundred thirty-eight billion, seven hundred thirty-eight million, seventy-two thousand, five hundred seventy-six.
Scientific notation
- Scientific notation: 1.38738072576 × 1011
Factors of 138738072576
Divisors of 138738072576
- Number of divisors d(n): 352
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Complete list of divisors:
1 2 3 4 6 8 12 16 23 24 31 32 46 48 62 64 69 92 93 96 97 124 128 138 184 186 192 194 248 256 276 291 368 372 384 388 496 512 552 582 653 713 736 744 768 776 992 1024 1104 1164 1306 1426 1472 1488 1536 1552 1959 1984 2139 2208 2231 2328 2612 2852 2944 2976 3007 3072 3104 3918 3968 4278 4416 4462 4656 5224 5704 5888 5952 6014 6208 6693 7836 7936 8556 8832 8924 9021 9312 10448 11408 11776 11904 12028 12416 13386 15019 15672 15872 17112 17664 17848 18042 18624 20243 20896 22816 23552 23808 24056 24832 26772 30038 31344 31744 34224 35328 35696 36084 37248 40486 41792 45057 45632 47616 48112 49664 53544 60076 60729 62688 63341 68448 69161 70656 71392 72168 74496 80972 83584 90114 91264 95232 96224 99328 107088 120152 121458 125376 126682 136896 138322 142784 144336 148992 161944 167168 180228 182528 190023 192448 207483 214176 240304 242916 250752 253364 273792 276644 285568 288672 297984 323888 334336 360456 365056 380046 384896 414966 428352 465589 480608 485832 501504 506728 547584 553288 571136 577344 647776 668672 720912 730112 760092 769792 829932 856704 931178 961216 971664 1003008 1013456 1095168 1106576 1142272 1154688 1295552 1396767 1441824 1456843 1520184 1539584 1659864 1713408 1862356 1922432 1943328 1963571 2006016 2026912 2190336 2213152 2284544 2309376 2591104 2793534 2883648 2913686 3040368 3079168 3319728 3426816 3724712 3844864 3886656 3927142 4053824 4370529 4426304 4618752 5182208 5587068 5767296 5827372 5890713 6080736 6639456 6853632 7449424 7689728 7773312 7854284 8107648 8741058 8852608 9237504 10364416 11174136 11534592 11654744 11781426 12161472 13278912 14898848 15379456 15546624 15708568 16215296 17482116 17705216 20728832 22348272 23069184 23309488 23562852 24322944 26557824 29797696 31093248 31417136 32430592 34964232 35410432 44696544 45162133 46138368 46618976 47125704 48645888 53115648 59595392 62186496 62834272 64861184 69928464 70820864 89393088 90324266 93237952 94251408 97291776 106231296 119190784 125668544 135486399 139856928 178786176 180648532 186475904 188502816 194583552 212462592 238381568 251337088 270972798 279713856 357572352 361297064 372951808 377005632 476763136 502674176 541945596 559427712 715144704 722594128 745903616 754011264 1005348352 1083891192 1118855424 1430289408 1445188256 1491807232 1508022528 2010696704 2167782384 2237710848 2890376512 3016045056 4335564768 4475421696 5780753024 6032090112 8671129536 11561506048 17342259072 23123012096 34684518144 46246024192 69369036288 138738072576
- Sum of all divisors σ(n): 403035107328
- Sum of proper divisors (its aliquot sum) s(n): 264297034752
- 138738072576 is an abundant number, because the sum of its proper divisors (264297034752) is greater than itself. Its abundance is 125558962176
Bases of 138738072576
- Binary: 100000010011010110111011111100000000002
- Hexadecimal: 0x204D6EFC00
- Base-36: 1RQH2DXC
Squares and roots of 138738072576
- 138738072576 squared (1387380725762) is 19248252782103443275776
- 138738072576 cubed (1387380725763) is 2670465491444661427134109870718976
-
The
square root of 138738072576 is 372475.5999740119 -
The
cube root of 138738072576 is 5176.8456789603
Scales and comparisons
How big is 138738072576?- 138,738,072,576 seconds is equal to 4,411 years, 22 weeks, 6 days, 17 hours, 29 minutes, 36 seconds.
-
To count from 1 to 138,738,072,576 would take you about eight thousand, eight hundred twenty-two 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 138738072576 cubic inches would be around 431.4 feet tall.
Recreational maths with 138738072576
- 138738072576 backwards is 675270837831
- The number of decimal digits it has is: 12
- The sum of 138738072576's digits is 57
- More coming soon!
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