138189628420116
138,189,628,420,116 is an even composite number composed of eight prime numbers multiplied together.
138189628420116 is an even composite number. It is composed of eight distinct prime numbers multiplied together. It has a total of three hundred eighty-four divisors.
Prime factorization of 138189628420116:
22 × 3 × 7 × 13 × 31 × 227 × 1093 × 16453
(2 × 2 × 3 × 7 × 13 × 31 × 227 × 1093 × 16453)See below for interesting mathematical facts about the number 138189628420116 from the Numbermatics database.
Names of 138189628420116
- Cardinal: 138189628420116 can be written as One hundred thirty-eight trillion, one hundred eighty-nine billion, six hundred twenty-eight million, four hundred twenty thousand, one hundred sixteen.
Scientific notation
- Scientific notation: 1.38189628420116 × 1014
Factors of 138189628420116
Divisors of 138189628420116
- Number of divisors d(n): 384
-
Complete list of divisors:
1 2 3 4 6 7 12 13 14 21 26 28 31 39 42 52 62 78 84 91 93 124 156 182 186 217 227 273 364 372 403 434 454 546 651 681 806 868 908 1092 1093 1209 1302 1362 1589 1612 2186 2418 2604 2724 2821 2951 3178 3279 4372 4767 4836 5642 5902 6356 6558 7037 7651 8463 8853 9534 11284 11804 13116 14074 14209 15302 16453 16926 17706 19068 20657 21111 22953 28148 28418 30604 32906 33852 33883 35412 41314 42222 42627 45906 49259 49359 56836 61971 65812 67766 82628 84444 85254 91481 91812 98518 98718 99463 101649 115171 123942 135532 147777 170508 182962 197036 197436 198926 203298 213889 230342 237181 247884 248111 274443 295554 298389 345513 365924 397852 406596 427778 440479 460684 474362 496222 510043 548886 591108 596778 640367 641667 691026 711543 744333 855556 880958 948724 992444 1020086 1097772 1193556 1280734 1283334 1321437 1382052 1423086 1488666 1497223 1530129 1736777 1761916 1921101 2040172 2561468 2566668 2642874 2846172 2977332 2994446 3060258 3083353 3225443 3473554 3570301 3734831 3842202 4491669 5210331 5285748 5988892 6120516 6166706 6450886 6630559 6947108 7140602 7469662 7684404 7691441 8983338 9250059 9676329 10420662 10710903 11204493 12333412 12901772 13261118 14281204 14939324 15382882 17966676 17983129 18500118 19352658 19891677 20841324 21421806 22408986 22578101 23074323 26143817 26522236 30765764 35966258 37000236 38705316 39783354 42843612 44817972 45156202 46148646 46413913 48552803 52287634 53840087 53949387 67734303 71932516 78431451 79566708 90312404 92297292 92827826 97105606 99988733 104575268 107680174 107898774 115779761 125881903 135468606 139241739 145658409 156862902 161520261 185655652 194211212 199977466 215360348 215797548 231559522 233780677 251763806 270937212 278483478 291316818 299966199 313725804 323040522 339869621 347339283 377645709 399954932 463119044 467561354 503527612 556966956 557476999 582633636 599932398 646081044 679739242 694678566 699921131 701342031 755291418 810458327 935122708 1019608863 1114953998 1199864796 1359478484 1389357132 1399842262 1402684062 1505136893 1510582836 1620916654 1636464739 1672430997 2039217726 2099763393 2229907996 2431374981 2799684524 2805368124 3010273786 3241833308 3272929478 3344861994 3902338993 4078435452 4082170283 4199526786 4515410679 4862749962 4909394217 6020547572 6545858956 6689723988 7247200987 7804677986 8164340566 8399053572 9030821358 9725499924 9818788434 10535958251 11707016979 12246510849 14494401974 15609355972 16328681132 18061642716 19637576868 21071916502 21741602961 23414033958 24493021698 28575191981 28988803948 31607874753 42143833004 43483205922 46828067916 48986043396 50730406909 53068213679 57150383962 63215749506 85725575943 86966411844 101460813818 106136427358 114300767924 126431499012 126547278773 152191220727 159204641037 171451151886 202921627636 212272854716 253094557546 304382441454 318409282074 342902303772 371477495753 379641836319 506189115092 608764882908 636818564148 742954991506 759283672638 885830951411 1114432487259 1485909983012 1518567345276 1645114624049 1771661902822 2228864974518 2657492854233 3290229248098 3543323805644 4457729949036 4935343872147 5314985708466 6580458496196 9870687744294 10629971416932 11515802368343 19741375488588 23031604736686 34547407105029 46063209473372 69094814210058 138189628420116
- Sum of all divisors σ(n): 411860075053056
- Sum of proper divisors (its aliquot sum) s(n): 273670446632940
- 138189628420116 is an abundant number, because the sum of its proper divisors (273670446632940) is greater than itself. Its abundance is 135480818212824
Bases of 138189628420116
- Binary: 111110110101110110001111011011010110000000101002
- Hexadecimal: 0x7DAEC7B6B014
- Base-36: 1CZFFST6VO
Squares and roots of 138189628420116
- 138189628420116 squared (1381896284201162) is 19096373402889731690193453456
- 138189628420116 cubed (1381896284201163) is 2638920744717118155816067099877267260120896
-
The
square root of 138189628420116 is 11755408.4752558045 -
The
cube root of 138189628420116 is 51700.1515733349
Scales and comparisons
How big is 138189628420116?- 138,189,628,420,116 seconds is equal to 4,394,002 years, 38 weeks, 1 day, 14 hours, 28 minutes, 36 seconds.
-
To count from 1 to 138,189,628,420,116 would take you about ten million, nine hundred eighty-five thousand and 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 138189628420116 cubic inches would be around 4308.3 feet tall.
Recreational maths with 138189628420116
- 138189628420116 backwards is 611024826981831
- The number of decimal digits it has is: 15
- The sum of 138189628420116's digits is 60
- More coming soon!
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