138944002369720320
138,944,002,369,720,320 is an even composite number composed of five prime numbers multiplied together.
138944002369720320 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one thousand, two hundred forty-eight divisors.
Prime factorization of 138944002369720320:
212 × 32 × 5 × 193 × 4793
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 19 × 19 × 19 × 479 × 479 × 479)See below for interesting mathematical facts about the number 138944002369720320 from the Numbermatics database.
Names of 138944002369720320
- Cardinal: 138944002369720320 can be written as One hundred thirty-eight quadrillion, nine hundred forty-four trillion, two billion, three hundred sixty-nine million, seven hundred twenty thousand, three hundred twenty.
Scientific notation
- Scientific notation: 1.3894400236972032 × 1017
Factors of 138944002369720320
Divisors of 138944002369720320
- Number of divisors d(n): 1248
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 15 16 18 19 20 24 30 32 36 38 40 45 48 57 60 64 72 76 80 90 95 96 114 120 128 144 152 160 171 180 190 192 228 240 256 285 288 304 320 342 360 361 380 384 456 479 480 512 570 576 608 640 684 720 722 760 768 855 912 958 960 1024 1083 1140 1152 1216 1280 1368 1437 1440 1444 1520 1536 1710 1805 1824 1916 1920 2048 2166 2280 2304 2395 2432 2560 2736 2874 2880 2888 3040 3072 3249 3420 3610 3648 3832 3840 4096 4311 4332 4560 4608 4790 4864 5120 5415 5472 5748 5760 5776 6080 6144 6498 6840 6859 7185 7220 7296 7664 7680 8622 8664 9101 9120 9216 9580 9728 10240 10830 10944 11496 11520 11552 12160 12288 12996 13680 13718 14370 14440 14592 15328 15360 16245 17244 17328 18202 18240 18432 19160 19456 20480 20577 21555 21660 21888 22992 23040 23104 24320 25992 27303 27360 27436 28740 28880 29184 30656 30720 32490 34295 34488 34656 36404 36480 36864 38320 38912 41154 43110 43320 43776 45505 45984 46080 46208 48640 51984 54606 54720 54872 57480 57760 58368 61312 61440 61731 64980 68590 68976 69312 72808 72960 76640 77824 81909 82308 86220 86640 87552 91010 91968 92160 92416 97280 102885 103968 109212 109440 109744 114960 115520 116736 122624 123462 129960 136515 137180 137952 138624 145616 145920 153280 163818 164616 172440 172919 173280 175104 182020 183936 184320 184832 194560 205770 207936 218424 218880 219488 229441 229920 231040 233472 245248 246924 259920 273030 274360 275904 277248 291232 291840 306560 308655 327636 329232 344880 345838 346560 350208 364040 367872 369664 389120 409545 411540 415872 436848 437760 438976 458882 459840 462080 490496 493848 518757 519840 546060 548720 551808 554496 582464 583680 613120 617310 655272 658464 688323 689760 691676 693120 700416 728080 735744 739328 819090 823080 831744 864595 873696 875520 877952 917764 919680 924160 980992 987696 1037514 1039680 1092120 1097440 1103616 1108992 1147205 1164928 1167360 1226240 1234620 1310544 1316928 1376646 1379520 1383352 1386240 1456160 1471488 1478656 1556271 1638180 1646160 1663488 1729190 1747392 1751040 1755904 1835528 1839360 1848320 1961984 1975392 2064969 2075028 2079360 2184240 2194880 2207232 2217984 2294410 2329856 2452480 2469240 2593785 2621088 2633856 2753292 2759040 2766704 2772480 2912320 2942976 3112542 3276360 3285461 3292320 3326976 3441615 3458380 3494784 3502080 3511808 3671056 3678720 3696640 3950784 4129938 4150056 4158720 4359379 4368480 4389760 4414464 4435968 4588820 4659712 4904960 4938480 5187570 5242176 5267712 5506584 5518080 5533408 5544960 5824640 5885952 6225084 6552720 6570922 6584640 6653952 6883230 6916760 6989568 7023616 7342112 7357440 7393280 7781355 7901568 8259876 8300112 8317440 8718758 8736960 8779520 8828928 9177640 9319424 9809920 9856383 9876960 10324845 10375140 10484352 10535424 11013168 11036160 11066816 11089920 11649280 12450168 13078137 13105440 13141844 13169280 13307904 13766460 13833520 13979136 14047232 14684224 14714880 15562710 15803136 16427305 16519752 16600224 16634880 17437516 17473920 17559040 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964888905345280 1085500018513440 1157866686414336 1218807038330880 1447333358017920 1462568445997056 1543822248552448 1736800029621504 1828210557496320 1929777810690560 2171000037026880 2315733372828672 2437614076661760 2894666716035840 3087644497104896 3473600059243008 3656421114992640 3859555621381120 4342000074053760 4631466745657344 5789333432071680 6947200118486016 7312842229985280 7719111242762240 8684000148107520 9262933491314688 11578666864143360 13894400236972032 15438222485524480 17368000296215040 23157333728286720 27788800473944064 34736000592430080 46314667456573440 69472001184860160 138944002369720320
- Sum of all divisors σ(n): 509429689340083200
- Sum of proper divisors (its aliquot sum) s(n): 370485686970362880
- 138944002369720320 is an abundant number, because the sum of its proper divisors (370485686970362880) is greater than itself. Its abundance is 231541684600642560
Bases of 138944002369720320
- Binary: 1111011011010000011010101100000001110101100010000000000002
- Hexadecimal: 0x1EDA0D580EB1000
- Base-36: 1203JDI73LS0
Squares and roots of 138944002369720320
- 138944002369720320 squared (1389440023697203202) is 19305435794516845899734395020902400
- 138944002369720320 cubed (1389440023697203203) is 2682374516781832125414610092693541549539242016768000
-
The
square root of 138944002369720320 is 372751931.4097786401 -
The
cube root of 138944002369720320 is 517940.5754266251
Scales and comparisons
How big is 138944002369720320?- 138,944,002,369,720,320 seconds is equal to 4,417,989,493 years, 17 weeks, 4 days, 11 hours, 12 minutes.
-
To count from 1 to 138,944,002,369,720,320 would take you about thirteen billion, two hundred fifty-three million, nine hundred sixty-eight thousand, four hundred eighty 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 138944002369720320 cubic inches would be around 43161.7 feet tall.
Recreational maths with 138944002369720320
- 138944002369720320 backwards is 023027963200449831
- The number of decimal digits it has is: 18
- The sum of 138944002369720320's digits is 63
- More coming soon!
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MLA style:
"Number 138944002369720320 - Facts about the integer". Numbermatics.com. 2024. Web. 5 June 2024.
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Numbermatics. (2024). Number 138944002369720320 - Facts about the integer. Retrieved 5 June 2024, from https://numbermatics.com/n/138944002369720320/
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The information we have on file for 138944002369720320 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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