138648361600
138,648,361,600 is an even composite number composed of five prime numbers multiplied together.
What does the number 138648361600 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 288 divisors.
138648361600 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of two hundred eighty-eight divisors.
Prime factorization of 138648361600:
27 × 52 × 72 × 809 × 1093
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 7 × 7 × 809 × 1093)See below for interesting mathematical facts about the number 138648361600 from the Numbermatics database.
Names of 138648361600
- Cardinal: 138648361600 can be written as One hundred thirty-eight billion, six hundred forty-eight million, three hundred sixty-one thousand, six hundred.
Scientific notation
- Scientific notation: 1.386483616 × 1011
Factors of 138648361600
Divisors of 138648361600
- Number of divisors d(n): 288
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Complete list of divisors:
1 2 4 5 7 8 10 14 16 20 25 28 32 35 40 49 50 56 64 70 80 98 100 112 128 140 160 175 196 200 224 245 280 320 350 392 400 448 490 560 640 700 784 800 809 896 980 1093 1120 1225 1400 1568 1600 1618 1960 2186 2240 2450 2800 3136 3200 3236 3920 4045 4372 4480 4900 5465 5600 5663 6272 6472 7651 7840 8090 8744 9800 10930 11200 11326 12944 15302 15680 16180 17488 19600 20225 21860 22400 22652 25888 27325 28315 30604 31360 32360 34976 38255 39200 39641 40450 43720 45304 51776 53557 54650 56630 61208 64720 69952 76510 78400 79282 80900 87440 90608 103552 107114 109300 113260 122416 129440 139904 141575 153020 156800 158564 161800 174880 181216 191275 198205 214228 218600 226520 244832 258880 267785 283150 306040 317128 323600 349760 362432 382550 396410 428456 437200 453040 489664 517760 535570 566300 612080 634256 647200 699520 724864 765100 792820 856912 874400 884237 906080 979328 991025 1071140 1132600 1224160 1268512 1294400 1338925 1530200 1585640 1713824 1748800 1768474 1812160 1982050 2142280 2265200 2448320 2537024 2588800 2677850 3060400 3171280 3427648 3497600 3536948 3624320 3964100 4284560 4421185 4530400 4896640 5074048 5355700 6120800 6189659 6342560 6855296 7073896 7928200 8569120 8842370 9060800 10711400 12241600 12379318 12685120 14147792 15856400 17138240 17684740 18121600 21422800 22105925 24483200 24758636 25370240 28295584 30948295 31712800 34276480 35369480 42845600 43327613 44211850 49517272 56591168 61896590 63425600 70738960 85691200 86655226 88423700 99034544 113182336 123793180 126851200 141477920 154741475 171382400 173310452 176847400 198069088 216638065 247586360 282955840 309482950 346620904 353694800 396138176 433276130 495172720 565911680 618965900 693241808 707389600 792276352 866552260 990345440 1083190325 1237931800 1386483616 1414779200 1733104520 1980690880 2166380650 2475863600 2772967232 2829558400 3466209040 3961381760 4332761300 4951727200 5545934464 6932418080 8665522600 9903454400 13864836160 17331045200 19806908800 27729672320 34662090400 69324180800 138648361600
- Sum of all divisors σ(n): 399281391900
- Sum of proper divisors (its aliquot sum) s(n): 260633030300
- 138648361600 is an abundant number, because the sum of its proper divisors (260633030300) is greater than itself. Its abundance is 121984668700
Bases of 138648361600
- Binary: 100000010010000001011000011010100000002
- Hexadecimal: 0x2048161A80
- Base-36: 1ROZNKHS
Squares and roots of 138648361600
- 138648361600 squared (1386483616002) is 19223368174364354560000
- 138648361600 cubed (1386483616003) is 2665288501809200881185488896000000
-
The
square root of 138648361600 is 372355.1551946071 -
The
cube root of 138648361600 is 5175.7296190183
Scales and comparisons
How big is 138648361600?- 138,648,361,600 seconds is equal to 4,408 years, 30 weeks, 4 days, 9 hours, 46 minutes, 40 seconds.
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To count from 1 to 138,648,361,600 would take you about eight thousand, eight hundred seventeen 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 138648361600 cubic inches would be around 431.3 feet tall.
Recreational maths with 138648361600
- 138648361600 backwards is 006163846831
- The number of decimal digits it has is: 12
- The sum of 138648361600's digits is 46
- More coming soon!
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