138343822131200
138,343,822,131,200 is an even composite number composed of four prime numbers multiplied together.
What does the number 138343822131200 look like?
This visualization shows the relationship between its 4 prime factors (large circles) and 792 divisors.
138343822131200 is an even composite number. It is composed of four distinct prime numbers multiplied together. It has a total of seven hundred ninety-two divisors.
Prime factorization of 138343822131200:
221 × 52 × 75 × 157
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 7 × 7 × 7 × 7 × 7 × 157)See below for interesting mathematical facts about the number 138343822131200 from the Numbermatics database.
Names of 138343822131200
- Cardinal: 138343822131200 can be written as One hundred thirty-eight trillion, three hundred forty-three billion, eight hundred twenty-two million, one hundred thirty-one thousand, two hundred.
Scientific notation
- Scientific notation: 1.383438221312 × 1014
Factors of 138343822131200
Divisors of 138343822131200
- Number of divisors d(n): 792
-
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 98 100 112 128 140 157 160 175 196 200 224 245 256 280 314 320 343 350 392 400 448 490 512 560 628 640 686 700 784 785 800 896 980 1024 1099 1120 1225 1256 1280 1372 1400 1568 1570 1600 1715 1792 1960 2048 2198 2240 2401 2450 2512 2560 2744 2800 3136 3140 3200 3430 3584 3920 3925 4096 4396 4480 4802 4900 5024 5120 5488 5495 5600 6272 6280 6400 6860 7168 7693 7840 7850 8192 8575 8792 8960 9604 9800 10048 10240 10976 10990 11200 12005 12544 12560 12800 13720 14336 15386 15680 15700 16384 16807 17150 17584 17920 19208 19600 20096 20480 21952 21980 22400 24010 25088 25120 25600 27440 27475 28672 30772 31360 31400 32768 33614 34300 35168 35840 38416 38465 39200 40192 40960 43904 43960 44800 48020 50176 50240 51200 53851 54880 54950 57344 60025 61544 62720 62800 65536 67228 68600 70336 71680 76832 76930 78400 80384 81920 84035 87808 87920 89600 96040 100352 100480 102400 107702 109760 109900 114688 120050 123088 125440 125600 131072 134456 137200 140672 143360 153664 153860 156800 160768 163840 168070 175616 175840 179200 192080 192325 200704 200960 204800 215404 219520 219800 229376 240100 246176 250880 251200 262144 268912 269255 274400 281344 286720 307328 307720 313600 321536 327680 336140 351232 351680 358400 376957 384160 384650 401408 401920 409600 420175 430808 439040 439600 458752 480200 492352 501760 502400 524288 537824 538510 548800 562688 573440 614656 615440 627200 643072 655360 672280 702464 703360 716800 753914 768320 769300 802816 803840 819200 840350 861616 878080 879200 917504 960400 984704 1003520 1004800 1048576 1075648 1077020 1097600 1125376 1146880 1229312 1230880 1254400 1286144 1310720 1344560 1346275 1404928 1406720 1433600 1507828 1536640 1538600 1605632 1607680 1638400 1680700 1723232 1756160 1758400 1835008 1884785 1920800 1969408 2007040 2009600 2097152 2151296 2154040 2195200 2250752 2293760 2458624 2461760 2508800 2572288 2621440 2638699 2689120 2692550 2809856 2813440 2867200 3015656 3073280 3077200 3211264 3215360 3276800 3361400 3446464 3512320 3516800 3670016 3769570 3841600 3938816 4014080 4019200 4302592 4308080 4390400 4501504 4587520 4917248 4923520 5017600 5144576 5242880 5277398 5378240 5385100 5619712 5626880 5734400 6031312 6146560 6154400 6422528 6430720 6553600 6722800 6892928 7024640 7033600 7340032 7539140 7683200 7877632 8028160 8038400 8605184 8616160 8780800 9003008 9175040 9423925 9834496 9847040 10035200 10289152 10485760 10554796 10756480 10770200 11239424 11253760 11468800 12062624 12293120 12308800 12845056 12861440 13107200 13193495 13445600 13785856 14049280 14067200 14680064 15078280 15366400 15755264 16056320 16076800 17210368 17232320 17561600 18006016 18350080 18847850 19668992 19694080 20070400 20578304 21109592 21512960 21540400 22478848 22507520 22937600 24125248 24586240 24617600 25690112 25722880 26214400 26386990 26891200 27571712 28098560 28134400 30156560 30732800 31510528 32112640 32153600 34420736 34464640 35123200 36012032 36700160 37695700 39337984 39388160 40140800 41156608 42219184 43025920 43080800 44957696 45015040 45875200 48250496 49172480 49235200 51380224 51445760 52428800 52773980 53782400 55143424 56197120 56268800 60313120 61465600 63021056 64225280 64307200 65967475 68841472 68929280 70246400 72024064 73400320 75391400 78675968 78776320 80281600 82313216 84438368 86051840 86161600 89915392 90030080 91750400 96500992 98344960 98470400 102760448 102891520 105547960 107564800 110286848 112394240 112537600 120626240 122931200 126042112 128450560 128614400 131934950 137682944 137858560 140492800 144048128 150782800 157351936 157552640 160563200 164626432 168876736 172103680 172323200 179830784 180060160 183500800 193001984 196689920 196940800 205783040 211095920 215129600 220573696 224788480 225075200 241252480 245862400 252084224 256901120 257228800 263869900 275365888 275717120 280985600 288096256 301565600 314703872 315105280 321126400 329252864 337753472 344207360 344646400 359661568 360120320 367001600 386003968 393379840 393881600 411566080 422191840 430259200 441147392 449576960 450150400 482504960 491724800 504168448 513802240 514457600 527739800 550731776 551434240 561971200 576192512 603131200 629407744 630210560 642252800 675506944 688414720 689292800 719323136 720240640 772007936 786759680 787763200 823132160 844383680 860518400 882294784 899153920 900300800 965009920 983449600 1008336896 1028915200 1055479600 1101463552 1102868480 1123942400 1152385024 1206262400 1258815488 1260421120 1284505600 1351013888 1376829440 1378585600 1440481280 1544015872 1573519360 1575526400 1646264320 1688767360 1721036800 1764589568 1798307840 1800601600 1930019840 1966899200 2016673792 2057830400 2110959200 2202927104 2205736960 2247884800 2304770048 2412524800 2517630976 2520842240 2569011200 2702027776 2753658880 2757171200 2880962560 3088031744 3147038720 3151052800 3377534720 3442073600 3529179136 3596615680 3601203200 3860039680 3933798400 4033347584 4115660800 4221918400 4405854208 4411473920 4495769600 4825049600 5035261952 5041684480 5404055552 5507317760 5514342400 5761925120 6176063488 6294077440 6302105600 6755069440 6884147200 7058358272 7202406400 7720079360 7867596800 8066695168 8231321600 8443836800 8811708416 8822947840 8991539200 9650099200 10083368960 10808111104 11014635520 11028684800 11523850240 12352126976 12588154880 12604211200 13510138880 13768294400 14116716544 14404812800 15440158720 15735193600 16133390336 16887673600 17623416832 17645895680 17983078400 19300198400 20166737920 21616222208 22029271040 22057369600 24704253952 25176309760 25208422400 27020277760 27536588800 28233433088 28809625600 30880317440 31470387200 33775347200 35246833664 35291791360 38600396800 40333475840 43232444416 44058542080 44114739200 49408507904 50416844800 54040555520 55073177600 56466866176 57619251200 61760634880 62940774400 67550694400 70583582720 77200793600 80666951680 86464888832 88117084160 88229478400 98817015808 100833689600 108081111040 110146355200 112933732352 123521269760 125881548800 135101388800 141167165440 154401587200 172929777664 176234168320 176458956800 197634031616 201667379200 216162222080 220292710400 247042539520 270202777600 282334330880 308803174400 345859555328 352917913600 395268063232 403334758400 432324444160 440585420800 494085079040 540405555200 564668661760 617606348800 691719110656 705835827200 790536126464 864648888320 881170841600 988170158080 1080811110400 1235212697600 1383438221312 1411671654400 1729297776640 1976340316160 2161622220800 2470425395200 2766876442624 2823343308800 3458595553280 3952680632320 4323244441600 4940850790400 5533752885248 6917191106560 8646488883200 9881701580800 13834382213120 17292977766400 19763403161600 27668764426240 34585955532800 69171911065600 138343822131200
- Sum of all divisors σ(n): 402820793011152
- Sum of proper divisors (its aliquot sum) s(n): 264476970879952
- 138343822131200 is an abundant number, because the sum of its proper divisors (264476970879952) is greater than itself. Its abundance is 126133148748752
Bases of 138343822131200
- Binary: 111110111010010101011100110000000000000000000002
- Hexadecimal: 0x7DD2AE600000
- Base-36: 1D1E9VRJSW
Squares and roots of 138343822131200
- 138343822131200 squared (1383438221312002) is 19139013121869102910013440000
- 138343822131200 cubed (1383438221312003) is 2647764227098562001871807662761443328000000
-
The
square root of 138343822131200 is 11761965.0624884955 -
The
cube root of 138343822131200 is 51719.3736503627
Scales and comparisons
How big is 138343822131200?- 138,343,822,131,200 seconds is equal to 4,398,905 years, 32 weeks, 1 day, 53 minutes, 20 seconds.
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To count from 1 to 138,343,822,131,200 would take you about ten million, nine hundred ninety-seven thousand, two hundred sixty-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 138343822131200 cubic inches would be around 4309.9 feet tall.
Recreational maths with 138343822131200
- 138343822131200 backwards is 002131228343831
- The number of decimal digits it has is: 15
- The sum of 138343822131200's digits is 41
- More coming soon!
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The information we have on file for 138343822131200 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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