138277463246208000000
138,277,463,246,208,000,000 is an even composite number composed of seven prime numbers multiplied together.
What does the number 138277463246208000000 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 14112 divisors.
138277463246208000000 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of fourteen thousand, one hundred twelve divisors.
Prime factorization of 138277463246208000000:
213 × 32 × 56 × 113 × 13 × 37 × 4332
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 5 × 5 × 5 × 5 × 5 × 11 × 11 × 11 × 13 × 37 × 433 × 433)See below for interesting mathematical facts about the number 138277463246208000000 from the Numbermatics database.
Names of 138277463246208000000
- Cardinal: 138277463246208000000 can be written as One hundred thirty-eight quintillion, two hundred seventy-seven quadrillion, four hundred sixty-three trillion, two hundred forty-six billion, two hundred eight million.
Scientific notation
- Scientific notation: 1.38277463246208 × 1020
Factors of 138277463246208000000
Divisors of 138277463246208000000
- Number of divisors d(n): 14112
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Complete list of divisors:
1 2 3 4 5 6 8 9 10 11 12 13 15 16 18 20 22 24 25 26 30 32 33 36 37 39 40 44 45 48 50 52 55 60 64 65 66 72 74 75 78 80 88 90 96 99 100 104 110 111 117 120 121 125 128 130 132 143 144 148 150 156 160 165 176 180 185 192 195 198 200 208 220 222 225 234 240 242 250 256 260 264 275 286 288 296 300 312 320 325 330 333 352 360 363 370 375 384 390 396 400 407 416 429 433 440 444 450 468 480 481 484 495 500 512 520 528 550 555 572 576 585 592 600 605 624 625 640 650 660 666 704 715 720 726 740 750 768 780 792 800 814 825 832 858 866 880 888 900 925 936 960 962 968 975 990 1000 1024 1040 1056 1089 1100 1110 1125 1144 1152 1170 1184 1200 1210 1221 1248 1250 1280 1287 1299 1300 1320 1331 1332 1375 1408 1430 1440 1443 1452 1480 1500 1536 1560 1573 1584 1600 1625 1628 1650 1664 1665 1716 1732 1760 1776 1800 1815 1850 1872 1875 1920 1924 1936 1950 1980 2000 2035 2048 2080 2112 2145 2165 2178 2200 2220 2250 2288 2304 2340 2368 2400 2405 2420 2442 2475 2496 2500 2560 2574 2598 2600 2640 2662 2664 2750 2775 2816 2860 2880 2886 2904 2925 2960 3000 3025 3072 3120 3125 3146 3168 3200 3250 3256 3300 3328 3330 3432 3464 3520 3552 3575 3600 3630 3663 3700 3744 3750 3840 3848 3872 3897 3900 3960 3993 4000 4070 4096 4125 4160 4224 4290 4329 4330 4356 4400 4440 4477 4500 4576 4608 4625 4680 4719 4736 4763 4800 4810 4840 4875 4884 4950 4992 5000 5120 5148 5196 5200 5280 5291 5324 5328 5445 5500 5550 5625 5629 5632 5720 5760 5772 5808 5850 5920 6000 6050 6105 6144 6240 6250 6292 6336 6400 6435 6495 6500 6512 6600 6655 6656 6660 6864 6875 6928 7040 7104 7150 7200 7215 7260 7326 7400 7488 7500 7680 7696 7744 7794 7800 7865 7920 7986 8000 8125 8140 8192 8250 8320 8325 8448 8580 8658 8660 8712 8800 8880 8954 9000 9075 9152 9216 9250 9360 9375 9438 9472 9526 9600 9620 9680 9750 9768 9900 9984 10000 10175 10240 10296 10392 10400 10560 10582 10648 10656 10725 10825 10890 11000 11100 11250 11258 11264 11440 11520 11544 11616 11700 11840 11979 12000 12025 12100 12210 12288 12375 12480 12500 12584 12672 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368739901989888000 373722873638400000 380929650816000000 384104064572800000 392833702404000000 415247637376000000 419022615897600000 425469117680640000 432117072644400000 443196997584000000 460924877487360000 467153592048000000 480130080716000000 483487633728000000 502827139077120000 523778269872000000 531836397100800000 540146340805500000 553109852984832000 571394476224000000 576156096859200000 590929330112000000 614566503316480000 622871456064000000 628533923846400000 664795496376000000 691387316231040000 698371026496000000 709115196134400000 720195121074000000 747445747276800000 768208129145600000 785667404808000000 838045231795200000 864234145288800000 886393995168000000 921849754974720000 934307184096000000 960260161432000000 966975267456000000 1047556539744000000 1063672794201600000 1080292681611000000 1106219705969664000 1142788952448000000 1152312193718400000 1181858660224000000 1245742912128000000 1257067847692800000 1329590992752000000 1382774632462080000 1396742052992000000 1440390242148000000 1536416258291200000 1571334809616000000 1728468290577600000 1772787990336000000 1843699509949440000 1868614368192000000 1920520322864000000 2095113079488000000 2127345588403200000 2160585363222000000 2304624387436800000 2514135695385600000 2659181985504000000 2765549264924160000 2880780484296000000 3072832516582400000 3142669619232000000 3456936581155200000 3545575980672000000 3737228736384000000 3841040645728000000 4190226158976000000 4321170726444000000 4609248774873600000 5318363971008000000 5531098529848320000 5761560968592000000 6285339238464000000 6913873162310400000 7682081291456000000 8642341452888000000 9218497549747200000 10636727942016000000 11523121937184000000 12570678476928000000 13827746324620800000 15364162582912000000 17284682905776000000 23046243874368000000 27655492649241600000 34569365811552000000 46092487748736000000 69138731623104000000 138277463246208000000
- Sum of all divisors σ(n): 608827007567778513696
- Sum of proper divisors (its aliquot sum) s(n): 470549544321570513696
- 138277463246208000000 is an abundant number, because the sum of its proper divisors (470549544321570513696) is greater than itself. Its abundance is 332272081075362513696
Bases of 138277463246208000000
- Binary: 11101111110111111000011110000110010011100000101110001100000000000002
- Hexadecimal: 0x77EFC3C32705C6000
- Base-36: T6KF9SRBV30G0
Squares and roots of 138277463246208000000
- 138277463246208000000 squared (1382774632462080000002) is 19120656841806404281226379264000000000000
- 138277463246208000000 cubed (1382774632462080000003) is 2643955923686240600867793438573911617830912000000000000000000
-
The
square root of 138277463246208000000 is 11759143814.3347834471 -
The
cube root of 138277463246208000000 is 5171110.2979011419
Scales and comparisons
How big is 138277463246208000000?- 138,277,463,246,208,000,000 seconds is equal to 293,274,701,009 years, 3 weeks, 3 days, 15 hours, 30 minutes, 7 seconds.
-
To count from 1 to 138,277,463,246,208,000,000 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 138277463246208000000 cubic inches would be around 430925.9 feet tall.
Recreational maths with 138277463246208000000
- 138277463246208000000 backwards is 000000802642364772831
- The number of decimal digits it has is: 21
- The sum of 138277463246208000000's digits is 63
- More coming soon!
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The information we have on file for 138277463246208000000 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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