138437056576000
138,437,056,576,000 is an even composite number composed of six prime numbers multiplied together.
What does the number 138437056576000 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 640 divisors.
138437056576000 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of six hundred forty divisors.
Prime factorization of 138437056576000:
29 × 53 × 7 × 13 × 43 × 552793
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 5 × 7 × 13 × 43 × 552793)See below for interesting mathematical facts about the number 138437056576000 from the Numbermatics database.
Names of 138437056576000
- Cardinal: 138437056576000 can be written as One hundred thirty-eight trillion, four hundred thirty-seven billion, fifty-six million, five hundred seventy-six thousand.
Scientific notation
- Scientific notation: 1.38437056576 × 1014
Factors of 138437056576000
Divisors of 138437056576000
- Number of divisors d(n): 640
-
Complete list of divisors:
1 2 4 5 7 8 10 13 14 16 20 25 26 28 32 35 40 43 50 52 56 64 65 70 80 86 91 100 104 112 125 128 130 140 160 172 175 182 200 208 215 224 250 256 260 280 301 320 325 344 350 364 400 416 430 448 455 500 512 520 559 560 602 640 650 688 700 728 800 832 860 875 896 910 1000 1040 1075 1118 1120 1204 1280 1300 1376 1400 1456 1505 1600 1625 1664 1720 1750 1792 1820 2000 2080 2150 2236 2240 2275 2408 2560 2600 2752 2795 2800 2912 3010 3200 3250 3328 3440 3500 3584 3640 3913 4000 4160 4300 4472 4480 4550 4816 5200 5375 5504 5590 5600 5824 6020 6400 6500 6656 6880 7000 7280 7525 7826 8000 8320 8600 8944 8960 9100 9632 10400 10750 11008 11180 11200 11375 11648 12040 12800 13000 13760 13975 14000 14560 15050 15652 16000 16640 17200 17888 17920 18200 19264 19565 20800 21500 22016 22360 22400 22750 23296 24080 26000 27520 27950 28000 29120 30100 31304 32000 33280 34400 35776 36400 37625 38528 39130 41600 43000 44720 44800 45500 46592 48160 52000 55040 55900 56000 58240 60200 62608 64000 68800 69875 71552 72800 75250 77056 78260 83200 86000 89440 89600 91000 96320 97825 104000 110080 111800 112000 116480 120400 125216 137600 139750 143104 145600 150500 154112 156520 166400 172000 178880 182000 192640 195650 208000 223600 224000 232960 240800 250432 275200 279500 286208 291200 301000 313040 344000 357760 364000 385280 391300 416000 447200 448000 481600 489125 500864 550400 552793 559000 582400 602000 626080 688000 715520 728000 770560 782600 832000 894400 963200 978250 1001728 1105586 1118000 1164800 1204000 1252160 1376000 1431040 1456000 1565200 1788800 1926400 1956500 2003456 2211172 2236000 2408000 2504320 2752000 2763965 2912000 3130400 3577600 3852800 3869551 3913000 4422344 4472000 4816000 5008640 5527930 5824000 6260800 7155200 7186309 7739102 7826000 8844688 8944000 9632000 10017280 11055860 12521600 13819825 14372618 15478204 15652000 17689376 17888000 19264000 19347755 22111720 23770099 25043200 27639650 28745236 30956408 31304000 35378752 35776000 35931545 38695510 44223440 47540198 50086400 50304163 55279300 57490472 61912816 62608000 69099125 70757504 71863090 77391020 88446880 95080396 96738775 100608326 110558600 114980944 118850495 123825632 125216000 138198250 141515008 143726180 154782040 166390693 176893760 179657725 190160792 193477550 201216652 221117200 229961888 237700990 247651264 250432000 251520815 276396500 283030016 287452360 309011287 309564080 332781386 353787520 359315450 380321584 386955100 402433304 442234400 459923776 475401980 483693875 495302528 503041630 552793000 574904720 594252475 618022574 619128160 665562772 707575040 718630900 760643168 773910200 804866608 831953465 884468800 898288625 919847552 950803960 967387750 990605056 1006083260 1105586000 1149809440 1188504950 1236045148 1238256320 1257604075 1331125544 1415150080 1437261800 1521286336 1545056435 1547820400 1609733216 1663906930 1768937600 1796577250 1839695104 1901607920 1934775500 1981210112 2012166520 2163079009 2211172000 2299618880 2377009900 2472090296 2476512640 2515208150 2662251088 2874523600 2971262375 3042572672 3090112870 3095640800 3219466432 3327813860 3537875200 3593154500 3679390208 3803215840 3869551000 4024333040 4159767325 4326158018 4422344000 4599237760 4754019800 4944180592 4953025280 5030416300 5324502176 5749047200 5942524750 6085145344 6180225740 6191281600 6288020375 6438932864 6655627720 7075750400 7186309000 7606431680 7725282175 7739102000 8048666080 8319534650 8652316036 8844688000 9198475520 9508039600 9888361184 9906050560 10060832600 10649004352 10815395045 11498094400 11885049500 12170290688 12360451480 12382563200 12576040750 12877865728 13311255440 14372618000 15212863360 15450564350 15478204000 16097332160 16639069300 17304632072 17689376000 18396951040 19016079200 19776722368 20121665200 20798836625 21298008704 21630790090 22996188800 23770099000 24720902960 24765126400 25152081500 25755731456 26622510880 28745236000 30425726720 30901128700 30956408000 32194664320 33278138600 34609264144 35378752000 38032158400 38626410875 39553444736 40243330400 41597673250 42596017408 43261580180 45992377600 47540198000 49441805920 49530252800 50304163000 53245021760 54076975225 57490472000 60851453440 61802257400 61912816000 64389328640 66556277200 69218528288 76064316800 77252821750 79106889472 80486660800 83195346500 85192034816 86523160360 91984755200 95080396000 98883611840 100608326000 106490043520 108153950450 114980944000 123604514800 123825632000 128778657280 133112554400 138437056576 152128633600 154505643500 158213778944 160973321600 166390693000 173046320720 190160792000 197767223680 201216652000 212980087040 216307900900 229961888000 247209029600 247651264000 266225108800 270384876125 276874113152 304257267200 309011287000 321946643200 332781386000 346092641440 380321584000 395534447360 402433304000 425960174080 432615801800 459923776000 494418059200 532450217600 540769752250 553748226304 618022574000 643893286400 665562772000 692185282880 760643168000 791068894720 804866608000 865231603600 988836118400 1064900435200 1081539504500 1107496452608 1236045148000 1331125544000 1384370565760 1521286336000 1609733216000 1730463207200 1977672236800 2129800870400 2163079009000 2472090296000 2662251088000 2768741131520 3219466432000 3460926414400 3955344473600 4326158018000 4944180592000 5324502176000 5537482263040 6921852828800 8652316036000 9888361184000 10649004352000 13843705657600 17304632072000 19776722368000 27687411315200 34609264144000 69218528288000 138437056576000
- Sum of all divisors σ(n): 434744655561216
- Sum of proper divisors (its aliquot sum) s(n): 296307598985216
- 138437056576000 is an abundant number, because the sum of its proper divisors (296307598985216) is greater than itself. Its abundance is 157870542409216
Bases of 138437056576000
- Binary: 111110111101000011000111001010010111010000000002
- Hexadecimal: 0x7DE86394BA00
- Base-36: 1D2L3T59TS
Squares and roots of 138437056576000
- 138437056576000 squared (1384370565760002) is 19164818633426624843776000000
- 138437056576000 cubed (1384370565760003) is 2653121081424460668242545273470976000000000
-
The
square root of 138437056576000 is 11765927.7822023029 -
The
cube root of 138437056576000 is 51730.9895027561
Scales and comparisons
How big is 138437056576000?- 138,437,056,576,000 seconds is equal to 4,401,870 years, 9 weeks, 4 days, 9 hours, 46 minutes, 40 seconds.
-
To count from 1 to 138,437,056,576,000 would take you about eleven million, four thousand, six hundred seventy-five 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 138437056576000 cubic inches would be around 4310.9 feet tall.
Recreational maths with 138437056576000
- 138437056576000 backwards is 000675650734831
- The number of decimal digits it has is: 15
- The sum of 138437056576000's digits is 55
- More coming soon!
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The information we have on file for 138437056576000 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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