138476810428006400
138,476,810,428,006,400 is an even composite number composed of seven prime numbers multiplied together.
138476810428006400 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of two thousand, one hundred sixty divisors.
Prime factorization of 138476810428006400:
214 × 52 × 72 × 17 × 31 × 941 × 13913
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 7 × 7 × 17 × 31 × 941 × 13913)See below for interesting mathematical facts about the number 138476810428006400 from the Numbermatics database.
Names of 138476810428006400
- Cardinal: 138476810428006400 can be written as One hundred thirty-eight quadrillion, four hundred seventy-six trillion, eight hundred ten billion, four hundred twenty-eight million, six thousand, four hundred.
Scientific notation
- Scientific notation: 1.384768104280064 × 1017
Factors of 138476810428006400
Divisors of 138476810428006400
- Number of divisors d(n): 2160
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Complete list of divisors:
1 2 4 5 7 8 10 14 16 17 20 25 28 31 32 34 35 40 49 50 56 62 64 68 70 80 85 98 100 112 119 124 128 136 140 155 160 170 175 196 200 217 224 238 245 248 256 272 280 310 320 340 350 392 400 425 434 448 476 490 496 512 527 544 560 595 620 640 680 700 775 784 800 833 850 868 896 941 952 980 992 1024 1054 1085 1088 1120 1190 1225 1240 1280 1360 1400 1519 1550 1568 1600 1666 1700 1736 1792 1882 1904 1960 1984 2048 2108 2170 2176 2240 2380 2450 2480 2560 2635 2720 2800 2975 3038 3100 3136 3200 3332 3400 3472 3584 3689 3764 3808 3920 3968 4096 4165 4216 4340 4352 4480 4705 4760 4900 4960 5120 5270 5425 5440 5600 5950 6076 6200 6272 6400 6587 6664 6800 6944 7168 7378 7528 7595 7616 7840 7936 8192 8330 8432 8680 8704 8960 9410 9520 9800 9920 10240 10540 10850 10880 11200 11900 12152 12400 12544 12800 13174 13175 13328 13600 13888 13913 14336 14756 15056 15190 15232 15680 15872 15997 16384 16660 16864 17360 17408 17920 18445 18820 19040 19600 19840 20480 20825 21080 21700 21760 22400 23525 23800 24304 24800 25088 25600 25823 26348 26350 26656 27200 27776 27826 28672 29171 29512 30112 30380 30464 31360 31744 31994 32935 33320 33728 34720 34816 35840 36890 37640 37975 38080 39200 39680 40960 41650 42160 43400 43520 44800 46109 47050 47600 48608 49600 50176 51200 51646 52696 52700 53312 54400 55552 55652 57344 58342 59024 60224 60760 60928 62720 63488 63988 65870 66640 67456 69440 69565 69632 71680 73780 75280 75950 76160 78400 79360 79985 81920 83300 84320 86800 87040 89600 92218 92225 94100 95200 97216 97391 99200 100352 102400 103292 105392 105400 106624 108800 111104 111304 111979 114688 116684 118048 120448 121520 121856 125440 126976 127976 129115 131740 133280 134912 138880 139130 139264 143360 145855 147560 150560 151900 152320 156800 158720 159970 164675 166600 168640 173600 174080 179200 184436 184450 188200 190400 194432 194782 198400 200704 204197 204800 206584 210784 210800 213248 217600 222208 222608 223958 230545 233368 236096 236521 240896 243040 243712 250880 253952 255952 258230 263480 266560 269824 277760 278260 278528 286720 291710 295120 301120 303800 304640 313600 317440 319940 329350 333200 337280 347200 347825 348160 358400 368872 368900 376400 380800 388864 389564 396800 399925 401408 408394 409600 413168 421568 421600 426496 431303 435200 444416 445216 447916 461090 466736 472192 473042 481792 486080 486955 487424 495907 501760 507904 511904 516460 526960 533120 539648 555520 556520 559895 573440 583420 590240 602240 607600 609280 627200 634880 639880 645575 658700 666400 674560 681737 694400 695650 696320 716800 729275 737744 737800 752800 761600 777728 779128 783853 793600 799850 802816 816788 826336 843136 843200 852992 862606 870400 888832 890432 895832 922180 933472 944384 946084 963584 972160 973910 974848 991814 1003520 1020985 1023808 1032920 1053920 1066240 1079296 1111040 1113040 1119790 1152725 1166840 1180480 1182605 1204480 1215200 1218560 1254400 1269760 1279760 1291150 1317400 1332800 1349120 1363474 1388800 1391300 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55837423559680 56521147113472 58183533793280 61820004655360 63638240086400 63814198353920 65691086540800 67615630091800 69796779449600 70651433891840 72729417241600 73579601715200 77275005819200 79767747942400 81456947310592 83119333990400 86548006517504 88314292364800 89339877695488 91163140505600 98912007448576 101821184138240 108185008146880 111674847119360 113042294226944 116367067586560 123640009310720 127276480172800 127628396707840 131382173081600 135231260183600 139593558899200 141302867783680 145458834483200 147159203430400 154550011638400 159535495884800 162913894621184 166238667980800 173096013035008 176628584729600 178679755390976 197824014897152 203642368276480 216370016293760 223349694238720 232734135173120 247280018621440 254552960345600 262764346163200 270462520367200 279187117798400 282605735567360 290917668966400 309100023276800 319070991769600 325827789242368 346192026070016 353257169459200 395648029794304 407284736552960 432740032587520 446699388477440 494560037242880 509105920691200 540925040734400 558374235596800 565211471134720 581835337932800 618200046553600 638141983539200 692384052140032 706514338918400 791296059588608 814569473105920 865480065175040 893398776954880 989120074485760 1018211841382400 1081850081468800 1116748471193600 1163670675865600 1236400093107200 1384768104280064 1413028677836800 1629138946211840 1730960130350080 1978240148971520 2036423682764800 2163700162937600 2233496942387200 2472800186214400 2769536208560128 2826057355673600 3461920260700160 3956480297943040 4072847365529600 4327400325875200 4466993884774400 4945600372428800 5539072417120256 6923840521400320 8145694731059200 8654800651750400 9891200744857600 13847681042800640 17309601303500800 19782401489715200 27695362085601280 34619202607001600 69238405214003200 138476810428006400
- Sum of all divisors σ(n): 437117924811762432
- Sum of proper divisors (its aliquot sum) s(n): 298641114383756032
- 138476810428006400 is an abundant number, because the sum of its proper divisors (298641114383756032) is greater than itself. Its abundance is 160164303955749632
Bases of 138476810428006400
- Binary: 1111010111111011111101100111001110011000011000000000000002
- Hexadecimal: 0x1EBF7ECE730C000
- Base-36: 11VHXKHNJIM8
Squares and roots of 138476810428006400
- 138476810428006400 squared (1384768104280064002) is 19175827026314022046357478440960000
- 138476810428006400 cubed (1384768104280064003) is 2655407363923128523804625579730011598192902144000000
-
The
square root of 138476810428006400 is 372124724.2901315205 -
The
cube root of 138476810428006400 is 517359.4075240229
Scales and comparisons
How big is 138476810428006400?- 138,476,810,428,006,400 seconds is equal to 4,403,134,234 years, 37 weeks, 6 hours, 13 minutes, 20 seconds.
-
To count from 1 to 138,476,810,428,006,400 would take you about thirteen billion, two hundred nine million, four hundred two thousand, seven hundred four 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 138476810428006400 cubic inches would be around 43113.3 feet tall.
Recreational maths with 138476810428006400
- 138476810428006400 backwards is 004600824018674831
- 138476810428006400 is a
Harshad number . - The number of decimal digits it has is: 18
- The sum of 138476810428006400's digits is 62
- More coming soon!
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"Number 138476810428006400 - Facts about the integer". Numbermatics.com. 2024. Web. 5 June 2024.
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Numbermatics. (2024). Number 138476810428006400 - Facts about the integer. Retrieved 5 June 2024, from https://numbermatics.com/n/138476810428006400/
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The information we have on file for 138476810428006400 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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