138363409059840
138,363,409,059,840 is an even composite number composed of five prime numbers multiplied together.
What does the number 138363409059840 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 1248 divisors.
138363409059840 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one thousand, two hundred forty-eight divisors.
Prime factorization of 138363409059840:
212 × 33 × 5 × 193 × 1912
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 5 × 19 × 19 × 19 × 191 × 191)See below for interesting mathematical facts about the number 138363409059840 from the Numbermatics database.
Names of 138363409059840
- Cardinal: 138363409059840 can be written as One hundred thirty-eight trillion, three hundred sixty-three billion, four hundred nine million, fifty-nine thousand, eight hundred forty.
Scientific notation
- Scientific notation: 1.3836340905984 × 1014
Factors of 138363409059840
Divisors of 138363409059840
- Number of divisors d(n): 1248
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 15 16 18 19 20 24 27 30 32 36 38 40 45 48 54 57 60 64 72 76 80 90 95 96 108 114 120 128 135 144 152 160 171 180 190 191 192 216 228 240 256 270 285 288 304 320 342 360 361 380 382 384 432 456 480 512 513 540 570 573 576 608 640 684 720 722 760 764 768 855 864 912 955 960 1024 1026 1080 1083 1140 1146 1152 1216 1280 1368 1440 1444 1520 1528 1536 1710 1719 1728 1805 1824 1910 1920 2048 2052 2160 2166 2280 2292 2304 2432 2560 2565 2736 2865 2880 2888 3040 3056 3072 3249 3420 3438 3456 3610 3629 3648 3820 3840 4096 4104 4320 4332 4560 4584 4608 4864 5120 5130 5157 5415 5472 5730 5760 5776 6080 6112 6144 6498 6840 6859 6876 6912 7220 7258 7296 7640 7680 8208 8595 8640 8664 9120 9168 9216 9728 9747 10240 10260 10314 10830 10887 10944 11460 11520 11552 12160 12224 12288 12996 13680 13718 13752 13824 14440 14516 14592 15280 15360 16245 16416 17190 17280 17328 18145 18240 18336 18432 19456 19494 20480 20520 20577 20628 21660 21774 21888 22920 23040 23104 24320 24448 25785 25992 27360 27436 27504 27648 28880 29032 29184 30560 30720 32490 32661 32832 34295 34380 34560 34656 36290 36480 36481 36672 36864 38912 38988 41040 41154 41256 43320 43548 43776 45840 46080 46208 48640 48735 48896 51570 51984 54435 54720 54872 55008 55296 57760 58064 58368 61120 61440 61731 64980 65322 65664 68590 68760 68951 69120 69312 72580 72960 72962 73344 77824 77976 82080 82308 82512 86640 87096 87552 91680 92160 92416 97280 97470 97792 97983 102885 103140 103968 108870 109440 109443 109744 110016 110592 115520 116128 116736 122240 123462 129960 130644 131328 137180 137520 137902 138240 138624 145160 145920 145924 146688 155952 163305 164160 164616 165024 173280 174192 175104 182405 183360 184320 184832 185193 194560 194940 195584 195966 205770 206280 206853 207936 217740 218880 218886 219488 220032 231040 232256 233472 244480 246924 259920 261288 262656 274360 275040 275804 276480 277248 290320 291840 291848 293376 308655 311904 326610 328320 328329 329232 330048 344755 346560 348384 350208 364810 366720 369664 370386 389120 389880 391168 391932 411540 412560 413706 415872 435480 437760 437772 438976 440064 462080 464512 488960 489915 493848 519840 522576 525312 547215 548720 550080 551608 552960 554496 580640 583680 583696 586752 617310 620559 623808 653220 656640 656658 658464 660096 689510 693120 693139 696768 700416 729620 733440 739328 740772 779760 782336 783864 823080 825120 827412 831744 870960 875520 875544 877952 880128 924160 925965 929024 977920 979830 984987 987696 1034265 1039680 1045152 1050624 1094430 1097440 1100160 1103216 1108992 1161280 1167360 1167392 1173504 1234620 1241118 1247616 1306440 1310069 1313280 1313316 1316928 1320192 1379020 1386240 1386278 1393536 1459240 1466880 1478656 1481544 1559520 1567728 1641645 1646160 1650240 1654824 1663488 1741920 1751040 1751088 1755904 1760256 1848320 1851930 1858048 1861677 1955840 1959660 1969974 1975392 2068530 2079360 2079417 2090304 2101248 2188860 2194880 2200320 2206432 2217984 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36032137776 36220787712 37928566080 38127144960 38327814144 40035708640 40245319680 40457137152 42586460160 45040172220 45275984640 45514279296 47909767680 48042850368 48294383616 50571421440 53942849536 54048206664 56892849120 60053562960 60367979520 60685705728 63879690240 64057133824 67428561920 67560258330 72064275552 72441575424 75857132160 76655628288 80071417280 80490639360 80914274304 90080344440 90551969280 91028558592 95819535360 96085700736 101142842880 108096413328 113785698240 120107125920 120735959040 121371411456 127759380480 128114267648 134857123840 135120516660 144128551104 144883150848 151714264320 160142834560 161828548608 180160688880 181103938560 182057117184 191639070720 192171401472 202285685760 216192826656 227571396480 240214251840 241471918080 242742822912 256228535296 269714247680 270241033320 288257102208 303428528640 320285669120 360321377760 362207877120 364114234368 383278141440 384342802944 404571371520 432385653312 455142792960 480428503680 485485645824 512457070592 540482066640 576514204416 606857057280 640571338240 720642755520 724415754240 728228468736 768685605888 809142743040 864771306624 910285585920 960857007360 1024914141184 1080964133280 1153028408832 1213714114560 1281142676480 1441285511040 1456456937472 1537371211776 1729542613248 1820571171840 1921714014720 2161928266560 2306056817664 2427428229120 2562285352960 2882571022080 3074742423552 3459085226496 3641142343680 3843428029440 4323856533120 4612113635328 5124570705920 5765142044160 6918170452992 7282284687360 7686856058880 8647713066240 9224227270656 11530284088320 13836340905984 15373712117760 17295426132480 23060568176640 27672681811968 34590852264960 46121136353280 69181704529920 138363409059840
- Sum of all divisors σ(n): 521955132316800
- Sum of proper divisors (its aliquot sum) s(n): 383591723256960
- 138363409059840 is an abundant number, because the sum of its proper divisors (383591723256960) is greater than itself. Its abundance is 245228314197120
Bases of 138363409059840
- Binary: 111110111010111001111011101100011010000000000002
- Hexadecimal: 0x7DD73DD8D000
- Base-36: 1D1N9TBEO0
Squares and roots of 138363409059840
- 138363409059840 squared (1383634090598402) is 19144432966660613792700825600
- 138363409059840 cubed (1383634090598403) is 2648889009784748739115476676485687803904000
-
The
square root of 138363409059840 is 11762797.6714657473 -
The
cube root of 138363409059840 is 51721.8143710267
Scales and comparisons
How big is 138363409059840?- 138,363,409,059,840 seconds is equal to 4,399,528 years, 21 weeks, 6 days, 14 hours, 24 minutes.
-
To count from 1 to 138,363,409,059,840 would take you about ten million, nine hundred ninety-eight thousand, eight hundred twenty-one 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 138363409059840 cubic inches would be around 4310.2 feet tall.
Recreational maths with 138363409059840
- 138363409059840 backwards is 048950904363831
- The number of decimal digits it has is: 15
- The sum of 138363409059840's digits is 63
- More coming soon!
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"Number 138363409059840 - Facts about the integer". Numbermatics.com. 2024. Web. 3 May 2024.
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Numbermatics. (2024). Number 138363409059840 - Facts about the integer. Retrieved 3 May 2024, from https://numbermatics.com/n/138363409059840/
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The information we have on file for 138363409059840 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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