137379939076296
137,379,939,076,296 is an even composite number composed of seven prime numbers multiplied together.
137379939076296 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of three hundred eighty-four divisors.
Prime factorization of 137379939076296:
23 × 32 × 7 × 109 × 547 × 2287 × 1999
(2 × 2 × 2 × 3 × 3 × 7 × 109 × 547 × 2287 × 1999)See below for interesting mathematical facts about the number 137379939076296 from the Numbermatics database.
Names of 137379939076296
- Cardinal: 137379939076296 can be written as One hundred thirty-seven trillion, three hundred seventy-nine billion, nine hundred thirty-nine million, seventy-six thousand, two hundred ninety-six.
Scientific notation
- Scientific notation: 1.37379939076296 × 1014
Factors of 137379939076296
Divisors of 137379939076296
- Number of divisors d(n): 384
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Complete list of divisors:
1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 56 63 72 84 109 126 168 218 252 327 436 504 547 654 763 872 981 1094 1308 1526 1641 1962 1999 2188 2287 2289 2616 3052 3282 3829 3924 3998 4376 4574 4578 4923 5997 6104 6564 6861 6867 7658 7848 7996 9148 9156 9846 11487 11994 13128 13722 13734 13993 15316 15992 16009 17991 18296 18312 19692 20583 22974 23988 27444 27468 27986 30632 32018 34461 35982 39384 41166 41979 45948 47976 48027 54888 54936 55972 59623 64036 68922 71964 82332 83958 91896 96054 111944 119246 125937 128072 137844 143928 144081 164664 167916 178869 192108 217891 238492 249283 251874 275688 288162 335832 357738 384216 417361 435782 476984 498566 503748 536607 576324 653673 715476 747849 834722 871564 997132 1007496 1073214 1093453 1152648 1250989 1252083 1307346 1430952 1495698 1525237 1669444 1743128 1744981 1961019 1994264 2146428 2186906 2243547 2501978 2504166 2614692 2991396 3050474 3280359 3338888 3489962 3752967 3756249 3922038 4292856 4373812 4487094 4571713 4575711 5003956 5008332 5229384 5234943 5982792 6100948 6560718 6979924 7505934 7512498 7654171 7844076 8747624 8756923 8974188 9143426 9151422 9841077 10007912 10016664 10469886 11258901 12201896 13121436 13715139 13727133 13959848 15011868 15024996 15308342 15688152 15704829 17513846 17948376 18286852 18302844 19682154 20939772 22517802 22962513 26242872 26270769 27430278 27454266 30023736 30049992 30616684 31409658 32001991 35027692 36573704 36605688 39364308 41145417 41879544 45035604 45925026 52541538 54860556 54908532 61233368 62819316 64003982 68887539 70055384 78728616 78812307 82290834 90071208 91850052 96005973 105083076 109721112 109817064 119186377 125638632 128007964 136357801 137775078 157624614 164581668 183700104 192011946 210166152 238372754 256015928 272715602 275550156 288017919 315249228 329163336 357559131 384023892 409073403 476745508 498316717 545431204 551100312 576035838 630498456 715118262 768047784 818146806 834304639 953491016 954504607 996633434 1072677393 1090862408 1152071676 1227220209 1430236524 1494950151 1636293612 1668609278 1909009214 1993266868 2145354786 2304143352 2454440418 2500727011 2502913917 2860473048 2863513821 2989900302 3272587224 3337218556 3488217019 3818018428 3986533736 4290709572 4484850453 4908880836 5001454022 5005827834 5727027642 5979800604 6674437112 6976434038 7502181033 7508741751 7636036856 8581419144 8590541463 8969700906 9817761672 10002908044 10011655668 10464651057 11454055284 11959601208 13952868076 15004362066 15017483502 17181082926 17505089077 17939401812 20005816088 20023311336 20929302114 22506543099 22908110568 27905736152 30008724132 30034967004 31393953171 34362165852 35010178154 35878803624 41858604228 45013086198 52515267231 60017448264 60069934008 62787906342 68724331704 70020356308 83717208456 90026172396 105030534462 125575812684 140040712616 157545801693 180052344792 210061068924 251151625368 272579244199 315091603386 420122137848 545158488398 630183206772 817737732597 1090316976796 1260366413544 1635475465194 1908054709393 2180633953592 2453213197791 3270950930388 3816109418786 4906426395582 5724164128179 6541901860776 7632218837572 9812852791164 11448328256358 15264437675144 17172492384537 19625705582328 22896656512716 34344984769074 45793313025432 68689969538148 137379939076296
- Sum of all divisors σ(n): 430312396800000
- Sum of proper divisors (its aliquot sum) s(n): 292932457723704
- 137379939076296 is an abundant number, because the sum of its proper divisors (292932457723704) is greater than itself. Its abundance is 155552518647408
Bases of 137379939076296
- Binary: 111110011110010010000100111011111001000110010002
- Hexadecimal: 0x7CF24277C8C8
- Base-36: 1CP3H0OIQ0
Squares and roots of 137379939076296
- 137379939076296 squared (1373799390762962) is 18873247660606800657709079616
- 137379939076296 cubed (1373799390762963) is 2592805613786008280854889700372795362382336
-
The
square root of 137379939076296 is 11720918.8665520589 -
The
cube root of 137379939076296 is 51598.9787916969
Scales and comparisons
How big is 137379939076296?- 137,379,939,076,296 seconds is equal to 4,368,257 years, 6 weeks, 1 day, 3 hours, 51 minutes, 36 seconds.
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To count from 1 to 137,379,939,076,296 would take you about ten million, nine hundred twenty thousand, six hundred forty-two 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 137379939076296 cubic inches would be around 4299.9 feet tall.
Recreational maths with 137379939076296
- 137379939076296 backwards is 692670939973731
- The number of decimal digits it has is: 15
- The sum of 137379939076296's digits is 81
- More coming soon!
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