138166400264256
138,166,400,264,256 is an even composite number composed of six prime numbers multiplied together.
138166400264256 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of three hundred thirty-six divisors.
Prime factorization of 138166400264256:
26 × 32 × 7 × 13 × 6659 × 395849
(2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 7 × 13 × 6659 × 395849)See below for interesting mathematical facts about the number 138166400264256 from the Numbermatics database.
Names of 138166400264256
- Cardinal: 138166400264256 can be written as One hundred thirty-eight trillion, one hundred sixty-six billion, four hundred million, two hundred sixty-four thousand, two hundred fifty-six.
Scientific notation
- Scientific notation: 1.38166400264256 × 1014
Factors of 138166400264256
Divisors of 138166400264256
- Number of divisors d(n): 336
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Complete list of divisors:
1 2 3 4 6 7 8 9 12 13 14 16 18 21 24 26 28 32 36 39 42 48 52 56 63 64 72 78 84 91 96 104 112 117 126 144 156 168 182 192 208 224 234 252 273 288 312 336 364 416 448 468 504 546 576 624 672 728 819 832 936 1008 1092 1248 1344 1456 1638 1872 2016 2184 2496 2912 3276 3744 4032 4368 5824 6552 6659 7488 8736 13104 13318 17472 19977 26208 26636 39954 46613 52416 53272 59931 79908 86567 93226 106544 119862 139839 159816 173134 186452 213088 239724 259701 279678 319632 346268 372904 395849 419517 426176 479448 519402 559356 605969 639264 692536 745808 779103 791698 839034 958896 1038804 1118712 1187547 1211938 1278528 1385072 1491616 1558206 1583396 1678068 1817907 1917792 2077608 2237424 2375094 2423876 2770144 2770943 2983232 3116412 3166792 3356136 3562641 3635814 3835584 4155216 4474848 4750188 4847752 5146037 5453721 5540288 5541886 6232824 6333584 6712272 7125282 7271628 8310432 8312829 8949696 9500376 9695504 10292074 10907442 11083772 12465648 12667168 13424544 14250564 14543256 15438111 16620864 16625658 19000752 19391008 20584148 21814884 22167544 24931296 24938487 25334336 26849088 28501128 29086512 30876222 33251316 36022259 38001504 38782016 41168296 43629768 44335088 46314333 49862592 49876974 57002256 58173024 61752444 66502632 72044518 76003008 82336592 87259536 88670176 92628666 99753948 108066777 114004512 116346048 123504888 133005264 144089036 164673184 174519072 177340352 185257332 199507896 216133554 228009024 247009776 266010528 288178072 324200331 329346368 349038144 370514664 399015792 432267108 494019552 532021056 576356144 648400662 741029328 798031584 864534216 988039104 1152712288 1296801324 1482058656 1596063168 1729068432 2305424576 2593602648 2635958491 2964117312 3458136864 5187205296 5271916982 6916273728 7907875473 10374410592 10543833964 15815750946 18451709437 20748821184 21087667928 23723626419 31631501892 34267460383 36903418874 42175335856 47447252838 55355128311 63263003784 68534920766 73806837748 84350671712 94894505676 102802381149 110710256622 126526007568 137069841532 147613675496 166065384933 168701343424 189789011352 205604762298 221420513244 239872222681 253052015136 274139683064 295227350992 308407143447 332130769866 379578022704 411209524596 442841026488 479744445362 506104030272 548279366128 590454701984 616814286894 664261539732 719616668043 759156045408 822419049192 885682052976 959488890724 1096558732256 1180909403968 1233628573788 1328523079464 1439233336086 1518312090816 1644838098384 1771364105952 1918977781448 2158850004129 2193117464512 2467257147576 2657046158928 2878466672172 3289676196768 3542728211904 3837955562896 4317700008258 4934514295152 5314092317856 5756933344344 6579352393536 7675911125792 8635400016516 9869028590304 10628184635712 11513866688688 15351822251584 17270800033032 19738057180608 23027733377376 34541600066064 46055466754752 69083200132128 138166400264256
- Sum of all divisors σ(n): 487494785232000
- Sum of proper divisors (its aliquot sum) s(n): 349328384967744
- 138166400264256 is an abundant number, because the sum of its proper divisors (349328384967744) is greater than itself. Its abundance is 211161984703488
Bases of 138166400264256
- Binary: 111110110101001010111110011010100101000010000002
- Hexadecimal: 0x7DA95F352840
- Base-36: 1CZ4RND740
Squares and roots of 138166400264256
- 138166400264256 squared (1381664002642562) is 19089954161982600466631233536
- 138166400264256 cubed (1381664002642563) is 2637590247770787696141631734138493649289216
-
The
square root of 138166400264256 is 11754420.4563328429 -
The
cube root of 138166400264256 is 51697.2546688307
Scales and comparisons
How big is 138166400264256?- 138,166,400,264,256 seconds is equal to 4,393,264 years, 7 weeks, 6 days, 4 hours, 57 minutes, 36 seconds.
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To count from 1 to 138,166,400,264,256 would take you about ten million, nine hundred eighty-three thousand, one hundred sixty 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 138166400264256 cubic inches would be around 4308.1 feet tall.
Recreational maths with 138166400264256
- 138166400264256 backwards is 652462004661831
- The number of decimal digits it has is: 15
- The sum of 138166400264256's digits is 54
- More coming soon!
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