138474181722240
138,474,181,722,240 is an even composite number composed of seven prime numbers multiplied together.
What does the number 138474181722240 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 2560 divisors.
138474181722240 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of two thousand, five hundred sixty divisors.
Prime factorization of 138474181722240:
27 × 39 × 5 × 7 × 13 × 113 × 1069
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 5 × 7 × 13 × 113 × 1069)See below for interesting mathematical facts about the number 138474181722240 from the Numbermatics database.
Names of 138474181722240
- Cardinal: 138474181722240 can be written as One hundred thirty-eight trillion, four hundred seventy-four billion, one hundred eighty-one million, seven hundred twenty-two thousand, two hundred forty.
Scientific notation
- Scientific notation: 1.3847418172224 × 1014
Factors of 138474181722240
Divisors of 138474181722240
- Number of divisors d(n): 2560
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Complete list of divisors:
1 2 3 4 5 6 7 8 9 10 12 13 14 15 16 18 20 21 24 26 27 28 30 32 35 36 39 40 42 45 48 52 54 56 60 63 64 65 70 72 78 80 81 84 90 91 96 104 105 108 112 113 117 120 126 128 130 135 140 144 156 160 162 168 180 182 189 192 195 208 210 216 224 226 234 240 243 252 260 270 273 280 288 312 315 320 324 336 339 351 360 364 378 384 390 405 416 420 432 448 452 455 468 480 486 504 520 540 546 560 565 567 576 585 624 630 640 648 672 678 702 720 728 729 756 780 791 810 819 832 840 864 896 904 910 936 945 960 972 1008 1017 1040 1053 1069 1080 1092 1120 1130 1134 1152 1170 1215 1248 1260 1296 1344 1356 1365 1404 1440 1456 1458 1469 1512 1560 1582 1620 1638 1664 1680 1695 1701 1728 1755 1808 1820 1872 1890 1920 1944 2016 2034 2080 2106 2138 2160 2184 2187 2240 2260 2268 2340 2373 2430 2457 2496 2520 2592 2688 2712 2730 2808 2835 2880 2912 2916 2938 3024 3051 3120 3159 3164 3207 3240 3276 3360 3390 3402 3456 3510 3616 3640 3645 3744 3780 3888 3955 4032 4068 4095 4160 4212 4276 4320 4368 4374 4407 4480 4520 4536 4680 4746 4860 4914 4992 5040 5085 5103 5184 5265 5345 5424 5460 5616 5670 5760 5824 5832 5876 6048 6102 6240 6318 6328 6414 6480 6552 6561 6720 6780 6804 7020 7119 7232 7280 7290 7345 7371 7483 7488 7560 7776 7910 8064 8136 8190 8320 8424 8505 8552 8640 8736 8748 8814 9040 9072 9153 9360 9477 9492 9621 9720 9828 10080 10170 10206 10283 10368 10530 10690 10848 10920 10935 11232 11340 11648 11664 11752 11865 12096 12204 12285 12480 12636 12656 12828 12960 13104 13122 13221 13440 13560 13608 13897 14040 14238 14464 14560 14580 14690 14742 14966 14976 15120 15255 15309 15552 15795 15820 16035 16272 16380 16848 17010 17104 17280 17472 17496 17628 18080 18144 18306 18720 18954 18984 19242 19440 19656 19683 20160 20340 20412 20566 21060 21357 21380 21696 21840 21870 22035 22113 22449 22464 22680 23328 23504 23730 24192 24408 24570 24960 25272 25312 25515 25656 25920 26208 26244 26442 27120 27216 27459 27794 28080 28431 28476 28863 29120 29160 29380 29484 29932 30240 30510 30618 30849 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126807858720 128216834928 129536184960 131504446080 133148251656 136159470720 137375180280 142463149920 144243939294 146533525632 147942501840 152169430464 153179404560 154547077815 160271043660 164850216336 166435314570 169077144960 170955779904 175062176640 177531002208 183166907040 189950866560 190211788080 192325252392 197256669120 204239206080 206062770420 213694724880 216365908941 219800288448 221913752760 236708002944 240406565490 244222542720 245087047296 247275324504 253615717440 256433669856 266296503312 274750360560 284926299840 288487878588 295885003680 304338860928 306358809120 309094155630 320542087320 329700432672 332870629140 341911559808 355062004416 360609848235 366333814080 380423576160 384650504784 394513338240 408478412160 412125540840 427389449760 432731817882 439600576896 443827505520 480813130980 494550649008 507231434880 512867339712 532593006624 549500721120 569852599680 576975757176 591770007360 612717618240 618188311260 641084174640 659400865344 665741258280 710124008832 721219696470 732667628160 760847152320 769301009568 824251081680 854778899520 865463635764 887655011040 961626261960 989101298016 1025734679424 1065186013248 1081829544705 1099001442240 1153951514352 1183540014720 1225435236480 1236376622520 1282168349280 1318801730688 1331482516560 1442439392940 1521694304640 1538602019136 1648502163360 1709557799040 1730927271528 1775310022080 1923252523920 1978202596032 2130372026496 2163659089410 2198002884480 2307903028704 2472753245040 2564336698560 2662965033120 2884878785880 3077204038272 3297004326720 3461854543056 3550620044160 3846505047840 3956405192064 4327318178820 4615806057408 4945506490080 5128673397120 5325930066240 5769757571760 6594008653440 6923709086112 7693010095680 8654636357640 9231612114816 9891012980160 10651860132480 11539515143520 13847418172224 15386020191360 17309272715280 19782025960320 23079030287040 27694836344448 34618545430560 46158060574080 69237090861120 138474181722240
- Sum of all divisors σ(n): 617125197427200
- Sum of proper divisors (its aliquot sum) s(n): 478651015704960
- 138474181722240 is an abundant number, because the sum of its proper divisors (478651015704960) is greater than itself. Its abundance is 340176833982720
Bases of 138474181722240
- Binary: 111110111110001000010000110100110000000100000002
- Hexadecimal: 0x7DF108698080
- Base-36: 1D325SI000
Squares and roots of 138474181722240
- 138474181722240 squared (1384741817222402) is 19175099003643946492510617600
- 138474181722240 cubed (1384741817222403) is 2655256143972535010550034320715054055424000
-
The
square root of 138474181722240 is 11767505.3313028077 -
The
cube root of 138474181722240 is 51735.6133824839
Scales and comparisons
How big is 138474181722240?- 138,474,181,722,240 seconds is equal to 4,403,050 years, 33 weeks, 5 days, 14 hours, 24 minutes.
-
To count from 1 to 138,474,181,722,240 would take you about eleven million, seven thousand, six hundred twenty-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 138474181722240 cubic inches would be around 4311.3 feet tall.
Recreational maths with 138474181722240
- 138474181722240 backwards is 042227181474831
- 138474181722240 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 138474181722240's digits is 54
- More coming soon!
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"Number 138474181722240 - Facts about the integer". Numbermatics.com. 2024. Web. 7 June 2024.
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Numbermatics. (2024). Number 138474181722240 - Facts about the integer. Retrieved 7 June 2024, from https://numbermatics.com/n/138474181722240/
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The information we have on file for 138474181722240 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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