138742609056480
138,742,609,056,480 is an even composite number composed of nine prime numbers multiplied together.
What does the number 138742609056480 look like?
This visualization shows the relationship between its 9 prime factors (large circles) and 3072 divisors.
138742609056480 is an even composite number. It is composed of nine distinct prime numbers multiplied together. It has a total of three thousand and seventy-two divisors.
Prime factorization of 138742609056480:
25 × 33 × 5 × 11 × 13 × 19 × 31 × 97 × 3931
(2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 5 × 11 × 13 × 19 × 31 × 97 × 3931)See below for interesting mathematical facts about the number 138742609056480 from the Numbermatics database.
Names of 138742609056480
- Cardinal: 138742609056480 can be written as One hundred thirty-eight trillion, seven hundred forty-two billion, six hundred nine million, fifty-six thousand, four hundred eighty.
Scientific notation
- Scientific notation: 1.3874260905648 × 1014
Factors of 138742609056480
Divisors of 138742609056480
- Number of divisors d(n): 3072
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Complete list of divisors:
1 2 3 4 5 6 8 9 10 11 12 13 15 16 18 19 20 22 24 26 27 30 31 32 33 36 38 39 40 44 45 48 52 54 55 57 60 62 65 66 72 76 78 80 88 90 93 95 96 97 99 104 108 110 114 117 120 124 130 132 135 143 144 152 155 156 160 165 171 176 180 186 190 194 195 198 208 209 216 220 228 234 240 247 248 260 264 270 279 285 286 288 291 297 304 310 312 330 341 342 351 352 360 372 380 388 390 396 403 416 418 429 432 440 456 465 468 480 485 494 495 496 513 520 528 540 558 570 572 582 585 589 594 608 620 624 627 660 682 684 702 715 720 741 744 760 776 780 792 806 836 837 855 858 864 873 880 912 930 936 970 988 990 992 1023 1026 1040 1045 1056 1067 1080 1116 1140 1144 1164 1170 1178 1188 1209 1235 1240 1248 1254 1261 1287 1320 1364 1368 1395 1404 1430 1440 1455 1482 1485 1488 1520 1552 1560 1584 1612 1672 1674 1705 1710 1716 1746 1755 1760 1767 1824 1843 1860 1872 1881 1940 1976 1980 2015 2046 2052 2080 2090 2134 2145 2160 2223 2232 2280 2288 2328 2340 2356 2376 2418 2470 2480 2508 2522 2565 2574 2619 2640 2717 2728 2736 2790 2808 2860 2910 2945 2964 2970 2976 3007 3040 3069 3104 3120 3135 3168 3201 3224 3344 3348 3410 3420 3432 3492 3510 3534 3627 3686 3705 3720 3744 3762 3783 3861 3880 3931 3952 3960 4030 4092 4104 4180 4185 4268 4290 4320 4365 4433 4446 4464 4560 4576 4656 4680 4712 4752 4836 4940 4960 5016 5044 5115 5130 5148 5238 5280 5301 5335 5434 5456 5472 5529 5580 5616 5643 5720 5820 5890 5928 5940 6014 6045 6138 6240 6270 6305 6402 6435 6448 6479 6669 6688 6696 6820 6840 6864 6984 7020 7068 7254 7372 7410 7440 7524 7566 7657 7722 7760 7862 7904 7920 8060 8151 8184 8208 8360 8370 8536 8580 8730 8835 8866 8892 8928 9021 9120 9207 9215 9312 9360 9405 9424 9504 9603 9672 9880 10032 10088 10230 10260 10296 10476 10602 10670 10868 10881 10912 11058 11115 11160 11232 11286 11349 11440 11640 11780 11793 11856 11880 12028 12090 12276 12540 12610 12804 12870 12896 12958 13095 13299 13338 13392 13585 13640 13680 13728 13871 13968 14040 14136 14508 14744 14820 14880 15035 15048 15132 15314 15345 15444 15520 15724 15840 15903 16005 16120 16302 16368 16416 16587 16720 16740 17072 17160 17460 17670 17732 17784 18042 18135 18414 18430 18720 18810 18848 18915 19206 19305 19344 19437 19655 19760 20064 20176 20273 20460 20520 20592 20952 21204 21340 21736 21762 22116 22165 22230 22320 22572 22698 22880 22971 23280 23560 23586 23712 23760 23959 24056 24180 24453 24552 25080 25220 25608 25740 25916 26190 26505 26598 26676 26784 27063 27170 27280 27360 27645 27742 27936 28080 28215 28272 28809 29016 29488 29640 30070 30096 30264 30628 30690 30888 31448 31806 32010 32240 32395 32604 32736 33077 33174 33345 33440 33480 34047 34144 34320 34920 35340 35379 35464 35568 36084 36270 36828 36860 37620 37830 38285 38412 38610 38688 38874 39091 39310 39520 39897 40352 40546 40755 40920 41040 41184 41613 41904 42408 42680 43241 43472 43524 44232 44330 44460 44640 45105 45144 45396 45942 46035 46560 47120 47172 47520 47918 48015 48112 48360 48906 49104 49761 50160 50440 51103 51216 51480 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44468784954 44698005495 45207757920 45639016137 46139876640 46620500355 46714683184 46809247320 47111242464 47677872528 48511401768 49409761060 49728533712 50710017930 50858727660 51064633440 52554018582 52975413920 53901557520 54090685792 55012929840 55320019560 55944600426 56171096784 57379077360 58393353980 58889053080 59291713272 59597340660 60639252210 60852021516 62160667140 62412329760 64232689378 64681869024 65015280720 66384023472 66703177431 67613357240 67811636880 68854892832 70072024776 70213870980 71516808792 73760026080 74114641590 74592800568 75280851360 76065026895 78518737440 78831027873 79055617696 79463120880 80852336280 81136028688 81373964256 82880889520 82980029340 86068616040 87590030970 88937569908 89396010990 91278032274 93241000710 93429366368 93618494640 95355745056 96349034067 97022803536 98819522120 99457067424 101420035860 101717455320 105108037164 107803115040 110025859680 110640039120 111171962385 111889200852 112342193568 114758154720 116786707960 117778106160 118583426544 119194681320 121278504420 121704043032 124321334280 128465378756 130030561440 131385046455 132768046944 133406354862 135226714480 135623273760 139861501065 140144049552 140427741960 143033617584 148229283180 149185601136 152130053790 157662055746 158926241760 160581723445 161704672560 162272057376 165761779040 165960058680 172137232080 175180061940 177875139816 178792021980 182556064548 186482001420 187236989280 192698068134 194045607072 197639044240 202840071720 203434910640 210216074328 221280078240 222343924770 223778401704 228195080685 233573415920 235556212320 237166853088 238389362640 242557008840 243408086064 248642668560 256930757512 262770092910 266812709724 270453428960 279723002130 280288099104 280855483920 286067235168 289047102201 296458566360 298371202272 304260107580 315324111492 321163446890 323409345120 331920117360 333515887155 344274464160 350360123880 355750279632 357584043960 365112129096 372964002840 385396136268 394155139365 395278088480 405680143440 406869821280 420432148656 444687849540 447556803408 456390161370 467146831840 476778725280 481745170335 485114017680 486816172128 497285337120 513861515024 525540185820 533625419448 559446004260 561710967840 578094204402 592917132720 608520215160 630648222984 642326893780 663840234720 667031774310 700720247760 711500559264 715168087920 730224258192 745928005680 770792272536 788310278730 811360286880 840864297312 867141306603 889375699080 895113606816 912780322740 963490340670 970228035360 1027723030048 1051080371640 1067250838896 1118892008520 1156188408804 1185834265440 1217040430320 1261296445968 1284653787560 1334063548620 1401440495520 1430336175840 1445235511005 1460448516384 1491856011360 1541584545072 1576620557460 1734282613206 1778751398160 1825560645480 1926980681340 2102160743280 2134501677792 2237784017040 2312376817608 2434080860640 2522592891936 2569307575120 2668127097240 2890471022010 3083169090144 3153241114920 3468565226412 3557502796320 3651121290960 3853961362680 4204321486560 4335706533015 4475568034080 4624753635216 5138615150240 5336254194480 5780942044020 6306482229840 6937130452824 7302242581920 7707922725360 8671413066030 9249507270432 10672508388960 11561884088040 12612964459680 13874260905648 15415845450720 17342826132060 23123768176080 27748521811296 34685652264120 46247536352160 69371304528240 138742609056480
- Sum of all divisors σ(n): 626441660006400
- Sum of proper divisors (its aliquot sum) s(n): 487699050949920
- 138742609056480 is an abundant number, because the sum of its proper divisors (487699050949920) is greater than itself. Its abundance is 348956441893440
Bases of 138742609056480
- Binary: 111111000101111100001111110110110010010111000002
- Hexadecimal: 0x7E2F87ED92E0
- Base-36: 1D6HH37CO0
Squares and roots of 138742609056480
- 138742609056480 squared (1387426090564802) is 19249511567799246115829990400
- 138742609056480 cubed (1387426090564803) is 2670727457979360207692670489163031457792000
-
The
square root of 138742609056480 is 11778905.2571314963 -
The
cube root of 138742609056480 is 51769.0210279789
Scales and comparisons
How big is 138742609056480?- 138,742,609,056,480 seconds is equal to 4,411,585 years, 42 weeks, 10 hours, 48 minutes.
-
To count from 1 to 138,742,609,056,480 would take you about eleven million, twenty-eight thousand, nine hundred sixty-four 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 138742609056480 cubic inches would be around 4314.1 feet tall.
Recreational maths with 138742609056480
- 138742609056480 backwards is 084650906247831
- The number of decimal digits it has is: 15
- The sum of 138742609056480's digits is 63
- More coming soon!
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Cite this page
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"Number 138742609056480 - Facts about the integer". Numbermatics.com. 2024. Web. 31 May 2024.
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Numbermatics. (2024). Number 138742609056480 - Facts about the integer. Retrieved 31 May 2024, from https://numbermatics.com/n/138742609056480/
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Numbermatics. 2024. "Number 138742609056480 - Facts about the integer". https://numbermatics.com/n/138742609056480/
The information we have on file for 138742609056480 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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