138331038935260800
138,331,038,935,260,800 is an even composite number composed of six prime numbers multiplied together.
What does the number 138331038935260800 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 2304 divisors.
138331038935260800 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of two thousand, three hundred four divisors.
Prime factorization of 138331038935260800:
27 × 32 × 52 × 31 × 413 × 1313
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 5 × 31 × 41 × 41 × 41 × 131 × 131 × 131)See below for interesting mathematical facts about the number 138331038935260800 from the Numbermatics database.
Names of 138331038935260800
- Cardinal: 138331038935260800 can be written as One hundred thirty-eight quadrillion, three hundred thirty-one trillion, thirty-eight billion, nine hundred thirty-five million, two hundred sixty thousand, eight hundred.
Scientific notation
- Scientific notation: 1.383310389352608 × 1017
Factors of 138331038935260800
Divisors of 138331038935260800
- Number of divisors d(n): 2304
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Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 25 30 31 32 36 40 41 45 48 50 60 62 64 72 75 80 82 90 93 96 100 120 123 124 128 131 144 150 155 160 164 180 186 192 200 205 225 240 246 248 262 279 288 300 310 320 328 360 369 372 384 393 400 410 450 465 480 492 496 524 558 576 600 615 620 640 655 656 720 738 744 775 786 800 820 900 930 960 984 992 1025 1048 1116 1152 1179 1200 1230 1240 1271 1310 1312 1395 1440 1476 1488 1550 1572 1600 1640 1681 1800 1845 1860 1920 1965 1968 1984 2050 2096 2232 2325 2358 2400 2460 2480 2542 2620 2624 2790 2880 2952 2976 3075 3100 3144 3200 3275 3280 3362 3600 3690 3720 3813 3930 3936 3968 4061 4100 4192 4464 4650 4716 4800 4920 4960 5043 5084 5240 5248 5371 5580 5760 5895 5904 5952 6150 6200 6288 6355 6550 6560 6724 6975 7200 7380 7440 7626 7860 7872 8122 8200 8384 8405 8928 9225 9300 9432 9600 9825 9840 9920 10086 10168 10480 10742 11160 11439 11790 11808 11904 12183 12300 12400 12576 12710 13100 13120 13448 13950 14400 14760 14880 15129 15252 15720 15744 16113 16244 16400 16768 16810 17161 17856 18450 18600 18864 19065 19650 19680 19840 20172 20305 20336 20960 21484 22320 22878 23580 23616 24366 24600 24800 25152 25215 25420 26200 26240 26855 26896 27900 28800 29475 29520 29760 30258 30504 31440 31775 32226 32488 32800 33620 34322 35712 36549 36900 37200 37728 38130 39300 39360 40344 40610 40672 41920 42025 42968 44640 45756 47160 47232 48339 48732 49200 49600 50304 50430 50840 51483 52111 52400 53710 53792 55800 57195 58950 59040 59520 60516 60915 61008 62880 63550 64452 64976 65600 67240 68644 68921 73098 73800 74400 75456 75645 76260 78600 78720 80565 80688 81220 81344 83840 84050 85805 85936 89280 91512 94320 95325 96678 97464 98400 99200 100860 101525 101680 102966 104222 104800 107420 107584 111600 114390 117900 118080 121032 121830 122016 125760 126075 127100 128904 129952 131200 134275 134480 137288 137842 146196 147600 148800 150912 151290 152520 154449 156333 157200 161130 161376 162440 162688 166501 168100 171610 171872 178560 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11155728946392 11246425929696 11354431497600 11620550985825 11715027010100 11732912547520 12092931107200 12395254384880 12877586942400 13199526615960 13604547495600 13715153572800 13944661182990 14058032412120 14079495057024 14409483222423 14666140684400 14874305261856 14995234572928 15494067981100 16458184287360 16499408269950 16869638894544 17031647246400 17572540515150 17599368821280 18139396660800 18592881577320 18744043216160 19212644296564 19832407015808 20572730359200 21087048618180 21119242585536 21767275992960 21999211026600 22311457892784 22492851859392 23241101971650 23430054020200 23465825095040 24015805370705 24790508769760 25755173884800 26358810772725 26399053231920 27209094991200 27430307145600 27889322365980 28116064824240 28818966444846 29332281368800 29748610523712 30988135962200 32998816539900 33739277789088 34063294492800 34861652957475 35145081030300 35198737642560 36278793321600 37185763154640 37488086432320 38425288593128 41145460718400 42174097236360 42238485171072 43228449667269 43998422053200 44622915785568 44985703718784 46482203943300 46860108040400 48031610741410 49581017539520 52717621545450 52798106463840 54418189982400 55778644731960 56232129648480 57637932889692 58664562737600 59497221047424 61976271924400 65997633079800 67478555578176 69723305914950 70290162060600 70397475285120 72047416112115 74371526309280 74976172864640 76850577186256 82290921436800 84348194472720 86456899334538 87996844106400 89245831571136 92964407886600 93720216080800 96063221482820 99162035079040 105435243090900 105596212927680 108836379964800 111557289463920 112464259296960 115275865779384 117329125475200 120079026853525 123952543848800 131995266159600 134957111156352 139446611829900 140580324121200 144094832224230 148743052618560 153701154372512 168696388945440 172913798669076 175993688212800 178491663142272 185928815773200 187440432161600 192126442965640 210870486181800 211192425855360 216142248336345 223114578927840 224928518593920 230551731558768 240158053707050 247905087697600 263990532319200 278893223659800 281160648242400 288189664448460 297486105237120 307402308745024 337392777890880 345827597338152 351987376425600 360237080560575 371857631546400 374880864323200 384252885931280 421740972363600 432284496672690 446229157855680 461103463117536 480316107414100 495810175395200 527981064638400 557786447319600 562321296484800 576379328896920 614804617490048 674785555781760 691655194676304 720474161121150 743715263092800 768505771862560 843481944727200 864568993345380 892458315711360 922206926235072 960632214828200 1055962129276800 1080711241681725 1115572894639200 1124642592969600 1152758657793840 1383310389352608 1440948322242300 1487430526185600 1537011543725120 1686963889454400 1729137986690760 1844413852470144 1921264429656400 2161422483363450 2231145789278400 2305517315587680 2766620778705216 2881896644484600 3074023087450240 3373927778908800 3458275973381520 3842528859312800 4322844966726900 4462291578556800 4611034631175360 5533241557410432 5763793288969200 6916551946763040 7685057718625600 8645689933453800 9222069262350720 11527586577938400 13833103893526080 15370115437251200 17291379866907600 23055173155876800 27666207787052160 34582759733815200 46110346311753600 69165519467630400 138331038935260800
- Sum of all divisors σ(n): 526274485807150080
- Sum of proper divisors (its aliquot sum) s(n): 387943446871889280
- 138331038935260800 is an abundant number, because the sum of its proper divisors (387943446871889280) is greater than itself. Its abundance is 249612407936628480
Bases of 138331038935260800
- Binary: 1111010110111001101011000110101010010010110011110100000002
- Hexadecimal: 0x1EB7358D5259E80
- Base-36: 11U29DZOGWW0
Squares and roots of 138331038935260800
- 138331038935260800 squared (1383310389352608002) is 19135476332908639404133564016640000
- 138331038935260800 cubed (1383310389352608003) is 2647030321652346551438697817082740861373939712000000
-
The
square root of 138331038935260800 is 371928808.9611515965 -
The
cube root of 138331038935260800 is 517177.8061632731
Scales and comparisons
How big is 138331038935260800?- 138,331,038,935,260,800 seconds is equal to 4,398,499,152 years, 7 weeks, 3 days, 8 hours.
-
To count from 1 to 138,331,038,935,260,800 would take you about thirteen billion, one hundred ninety-five million, four hundred ninety-seven thousand, four hundred fifty-six 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 138331038935260800 cubic inches would be around 43098.2 feet tall.
Recreational maths with 138331038935260800
- 138331038935260800 backwards is 008062539830133831
- The number of decimal digits it has is: 18
- The sum of 138331038935260800's digits is 63
- More coming soon!
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"Number 138331038935260800 - Facts about the integer". Numbermatics.com. 2024. Web. 11 May 2024.
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Numbermatics. (2024). Number 138331038935260800 - Facts about the integer. Retrieved 11 May 2024, from https://numbermatics.com/n/138331038935260800/
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The information we have on file for 138331038935260800 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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