13838669557889195059770240
13,838,669,557,889,195,059,770,240 is an even composite number composed of eight prime numbers multiplied together.
What does the number 13838669557889195059770240 look like?
This visualization shows the relationship between its 8 prime factors (large circles) and 1536 divisors.
13838669557889195059770240 is an even composite number. It is composed of eight distinct prime numbers multiplied together. It has a total of one thousand, five hundred thirty-six divisors.
Prime factorization of 13838669557889195059770240:
27 × 32 × 5 × 7 × 31 × 503 × 3302237 × 6665548577
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 7 × 31 × 503 × 3302237 × 6665548577)See below for interesting mathematical facts about the number 13838669557889195059770240 from the Numbermatics database.
Names of 13838669557889195059770240
- Cardinal: 13838669557889195059770240 can be written as Thirteen septillion, eight hundred thirty-eight sextillion, six hundred sixty-nine quintillion, five hundred fifty-seven quadrillion, eight hundred eighty-nine trillion, one hundred ninety-five billion, fifty-nine million, seven hundred seventy thousand, two hundred forty.
Scientific notation
- Scientific notation: 1.383866955788919505977024 × 1025
Factors of 13838669557889195059770240
- Number of distinct prime factors ω(n): 8
- Total number of prime factors Ω(n): 15
- Sum of prime factors: 6668851365
Divisors of 13838669557889195059770240
- Number of divisors d(n): 1536
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Complete list of divisors:
1 2 3 4 5 6 7 8 9 10 12 14 15 16 18 20 21 24 28 30 31 32 35 36 40 42 45 48 56 60 62 63 64 70 72 80 84 90 93 96 105 112 120 124 126 128 140 144 155 160 168 180 186 192 210 217 224 240 248 252 279 280 288 310 315 320 336 360 372 384 420 434 448 465 480 496 503 504 558 560 576 620 630 640 651 672 720 744 840 868 896 930 960 992 1006 1008 1085 1116 1120 1152 1240 1260 1302 1344 1395 1440 1488 1509 1680 1736 1860 1920 1953 1984 2012 2016 2170 2232 2240 2480 2515 2520 2604 2688 2790 2880 2976 3018 3255 3360 3472 3521 3720 3906 3968 4024 4032 4340 4464 4480 4527 4960 5030 5040 5208 5580 5760 5952 6036 6510 6720 6944 7042 7440 7545 7812 8048 8064 8680 8928 9054 9765 9920 10060 10080 10416 10563 11160 11904 12072 13020 13440 13888 14084 14880 15090 15593 15624 16096 17360 17605 17856 18108 19530 19840 20120 20160 20832 21126 22320 22635 24144 26040 27776 28168 29760 30180 31186 31248 31689 32192 34720 35210 35712 36216 39060 40240 40320 41664 42252 44640 45270 46779 48288 52080 52815 56336 59520 60360 62372 62496 63378 64384 69440 70420 72432 77965 78120 80480 83328 84504 89280 90540 93558 96576 104160 105630 109151 112672 120720 124744 124992 126756 138880 140337 140840 144864 155930 156240 158445 160960 169008 178560 181080 187116 193152 208320 211260 218302 225344 233895 241440 249488 249984 253512 280674 281680 289728 311860 312480 316890 321920 327453 338016 362160 374232 416640 422520 436604 450688 467790 482880 498976 507024 545755 561348 563360 579456 623720 624960 633780 654906 676032 701685 724320 748464 845040 873208 935580 965760 982359 997952 1014048 1091510 1122696 1126720 1247440 1249920 1267560 1309812 1352064 1403370 1448640 1496928 1637265 1690080 1746416 1871160 1964718 1995904 2028096 2183020 2245392 2253440 2494880 2535120 2619624 2806740 2897280 2993856 3274530 3302237 3380160 3492832 3742320 3929436 4056192 4366040 4490784 4911795 4989760 5070240 5239248 5613480 5987712 6549060 6604474 6760320 6985664 7484640 7858872 8732080 8981568 9823590 9906711 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32949213233069512047072 36038201973669778801485 37200724617981707149920 38440748771914430721584 41186516541336890058840 43245842368403734561782 43932284310759349396096 44640869541578048579904 48050935964893038401980 49423819849604268070608 49600966157308942866560 54915355388449186745120 55801086926972560724880 57661123157871646082376 61779774812005335088260 63772670773682926542720 65898426466139024094144 72076403947339557602970 74401449235963414299840 76881497543828861443168 82373033082673780117680 86491684736807469123564 89281739083156097159808 96101871929786076803960 98847639699208536141216 108114605921009336404455 109830710776898373490240 111602173853945121449760 115322246315743292164752 123559549624010670176520 131796852932278048188288 144152807894679115205940 148802898471926828599680 153762995087657722886336 164746066165347560235360 172983369473614938247128 192203743859572153607920 197695279398417072282432 216229211842018672808910 219661421553796746980480 223204347707890242899520 230644492631486584329504 247119099248021340353040 288305615789358230411880 307525990175315445772672 329492132330695120470720 345966738947229876494256 384407487719144307215840 395390558796834144564864 432458423684037345617820 446408695415780485799040 461288985262973168659008 494238198496042680706080 576611231578716460823760 658984264661390240941440 691933477894459752988512 768814975438288614431680 864916847368074691235640 922577970525946337318016 988476396992085361412160 1153222463157432921647520 1383866955788919505977024 1537629950876577228863360 1729833694736149382471280 1976952793984170722824320 2306444926314865843295040 2767733911577839011954048 3459667389472298764942560 4612889852629731686590080 6919334778944597529885120 13838669557889195059770240
- Sum of all divisors σ(n): 56487135694353747807191040
- Sum of proper divisors (its aliquot sum) s(n): 42648466136464552747420800
- 13838669557889195059770240 is an abundant number, because the sum of its proper divisors (42648466136464552747420800) is greater than itself. Its abundance is 28809796578575357687650560
Bases of 13838669557889195059770240
- Binary: 1011011100100111001111000111101010101011011010001000101111001010010011110011100000002
- Hexadecimal: 0xB7273C7AAB688BCA4F380
- Base-36: 1QLIBVKJPNP2RVFK0
Squares and roots of 13838669557889195059770240
- 13838669557889195059770240 squared (138386695578891950597702402) is 191508775132449129457545099259487160686081589657600
- 13838669557889195059770240 cubed (138386695578891950597702403) is 2650226656494071067425704844517326284023424607822425363924450905416269824000
-
The
square root of 13838669557889195059770240 is 3720036230722.6518542869 -
The
cube root of 13838669557889195059770240 is 240084863.2638950615
Scales and comparisons
How big is 13838669557889195059770240?- 13,838,669,557,889,195,059,770,240 seconds is equal to 293,274,701,009 years, 3 weeks, 3 days, 15 hours, 30 minutes, 7 seconds.
-
To count from 1 to 13,838,669,557,889,195,059,770,240 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 13838669557889195059770240 cubic inches would be around 20007071.9 feet tall.
Recreational maths with 13838669557889195059770240
- 13838669557889195059770240 backwards is 04207795059198875596683831
- The number of decimal digits it has is: 26
- The sum of 13838669557889195059770240's digits is 135
- More coming soon!
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"Number 13838669557889195059770240 - Facts about the integer". Numbermatics.com. 2024. Web. 4 June 2024.
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Numbermatics. (2024). Number 13838669557889195059770240 - Facts about the integer. Retrieved 4 June 2024, from https://numbermatics.com/n/13838669557889195059770240/
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Numbermatics. 2024. "Number 13838669557889195059770240 - Facts about the integer". https://numbermatics.com/n/13838669557889195059770240/
The information we have on file for 13838669557889195059770240 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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