104006811388616301120
104,006,811,388,616,301,120 is an even composite number composed of six prime numbers multiplied together.
104006811388616301120 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of two hundred twenty-four divisors.
Prime factorization of 104006811388616301120:
26 × 3 × 5 × 17 × 5569 × 1144364586839
(2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 17 × 5569 × 1144364586839)See below for interesting mathematical facts about the number 104006811388616301120 from the Numbermatics database.
Names of 104006811388616301120
- Cardinal: 104006811388616301120 can be written as One hundred four quintillion, six quadrillion, eight hundred eleven trillion, three hundred eighty-eight billion, six hundred sixteen million, three hundred one thousand, one hundred twenty.
Scientific notation
- Scientific notation: 1.0400681138861630112 × 1020
Factors of 104006811388616301120
- Number of distinct prime factors ω(n): 6
- Total number of prime factors Ω(n): 11
- Sum of prime factors: 1144364592435
Divisors of 104006811388616301120
- Number of divisors d(n): 224
-
Complete list of divisors:
1 2 3 4 5 6 8 10 12 15 16 17 20 24 30 32 34 40 48 51 60 64 68 80 85 96 102 120 136 160 170 192 204 240 255 272 320 340 408 480 510 544 680 816 960 1020 1088 1360 1632 2040 2720 3264 4080 5440 5569 8160 11138 16320 16707 22276 27845 33414 44552 55690 66828 83535 89104 94673 111380 133656 167070 178208 189346 222760 267312 284019 334140 356416 378692 445520 473365 534624 568038 668280 757384 891040 946730 1069248 1136076 1336560 1420095 1514768 1782080 1893460 2272152 2673120 2840190 3029536 3786920 4544304 5346240 5680380 6059072 7573840 9088608 11360760 15147680 18177216 22721520 30295360 45443040 90886080 1144364586839 2288729173678 3433093760517 4577458347356 5721822934195 6866187521034 9154916694712 11443645868390 13732375042068 17165468802585 18309833389424 19454197976263 22887291736780 27464750084136 34330937605170 36619666778848 38908395952526 45774583473560 54929500168272 58362593928789 68661875210340 73239333557696 77816791905052 91549166947120 97270989881315 109859000336544 116725187857578 137323750420680 155633583810104 183098333894240 194541979762630 219718000673088 233450375715156 274647500841360 291812969643945 311267167620208 366196667788480 389083959525260 466900751430312 549295001682720 583625939287890 622534335240416 778167919050520 933801502860624 1098590003365440 1167251878575780 1245068670480832 1556335838101040 1867603005721248 2334503757151560 3112671676202080 3735206011442496 4669007514303120 6225343352404160 6372966384106391 9338015028606240 12745932768212782 18676030057212480 19118899152319173 25491865536425564 31864831920531955 38237798304638346 50983731072851128 63729663841063910 76475596609276692 95594495761595865 101967462145702256 108340428529808647 127459327682127820 152951193218553384 191188991523191730 203934924291404512 216680857059617294 254918655364255640 305902386437106768 325021285589425941 382377983046383460 407869848582809024 433361714119234588 509837310728511280 541702142649043235 611804772874213536 650042571178851882 764755966092766920 866723428238469176 1019674621457022560 1083404285298086470 1223609545748427072 1300085142357703764 1529511932185533840 1625106427947129705 1733446856476938352 2039349242914045120 2166808570596172940 2600170284715407528 3059023864371067680 3250212855894259410 3466893712953876704 4333617141192345880 5200340569430815056 6118047728742135360 6500425711788518820 6933787425907753408 8667234282384691760 10400681138861630112 13000851423577037640 17334468564769383520 20801362277723260224 26001702847154075280 34668937129538767040 52003405694308150560 104006811388616301120
- Sum of all divisors σ(n): 349709212116610963200
- Sum of proper divisors (its aliquot sum) s(n): 245702400727994662080
- 104006811388616301120 is an abundant number, because the sum of its proper divisors (245702400727994662080) is greater than itself. Its abundance is 141695589339378360960
Bases of 104006811388616301120
- Binary: 10110100011011000100110101111100111111111111000011011011010010000002
- Hexadecimal: 0x5A3626BE7FF86DA40
- Base-36: LY70PLWI2JEIO
Squares and roots of 104006811388616301120
- 104006811388616301120 squared (1040068113886163011202) is 10817416815227205515236486136190513254400
- 104006811388616301120 cubed (1040068113886163011203) is 1125085030413382396488245933596154016355893546959261564928000
-
The
square root of 104006811388616301120 is 10198372977.5203015529 -
The
cube root of 104006811388616301120 is 4702772.0389331155
Scales and comparisons
How big is 104006811388616301120?- 104,006,811,388,616,301,120 seconds is equal to 293,274,701,009 years, 3 weeks, 3 days, 15 hours, 30 minutes, 7 seconds.
-
To count from 1 to 104,006,811,388,616,301,120 would take you about two hundred ninety-three billion, two hundred seventy-four million, seven hundred one thousand and nine 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 104006811388616301120 cubic inches would be around 391897.7 feet tall.
Recreational maths with 104006811388616301120
- 104006811388616301120 backwards is 021103616883118600401
- 104006811388616301120 is a
Harshad number . - The number of decimal digits it has is: 21
- The sum of 104006811388616301120's digits is 60
- More coming soon!
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