137382848870400
137,382,848,870,400 is an even composite number composed of six prime numbers multiplied together.
137382848870400 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of two thousand, five hundred ninety-two divisors.
Prime factorization of 137382848870400:
211 × 32 × 52 × 72 × 17 × 713
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 5 × 7 × 7 × 17 × 71 × 71 × 71)See below for interesting mathematical facts about the number 137382848870400 from the Numbermatics database.
Names of 137382848870400
- Cardinal: 137382848870400 can be written as One hundred thirty-seven trillion, three hundred eighty-two billion, eight hundred forty-eight million, eight hundred seventy thousand, four hundred.
Scientific notation
- Scientific notation: 1.373828488704 × 1014
Factors of 137382848870400
Divisors of 137382848870400
- Number of divisors d(n): 2592
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Complete list of divisors:
1 2 3 4 5 6 7 8 9 10 12 14 15 16 17 18 20 21 24 25 28 30 32 34 35 36 40 42 45 48 49 50 51 56 60 63 64 68 70 71 72 75 80 84 85 90 96 98 100 102 105 112 119 120 126 128 136 140 142 144 147 150 153 160 168 170 175 180 192 196 200 204 210 213 224 225 238 240 245 252 255 256 272 280 284 288 294 300 306 315 320 336 340 350 355 357 360 384 392 400 408 420 425 426 441 448 450 476 480 490 497 504 510 512 525 544 560 568 576 588 595 600 612 630 639 640 672 680 700 710 714 720 735 765 768 784 800 816 833 840 850 852 882 896 900 952 960 980 994 1008 1020 1024 1050 1065 1071 1088 1120 1136 1152 1176 1190 1200 1207 1224 1225 1260 1275 1278 1280 1344 1360 1400 1420 1428 1440 1470 1491 1530 1536 1568 1575 1600 1632 1666 1680 1700 1704 1764 1775 1785 1792 1800 1904 1920 1960 1988 2016 2040 2048 2100 2130 2142 2176 2205 2240 2272 2304 2352 2380 2400 2414 2448 2450 2485 2499 2520 2550 2556 2560 2688 2720 2800 2840 2856 2880 2940 2975 2982 3060 3072 3136 3150 3195 3200 3264 3332 3360 3400 3408 3479 3528 3550 3570 3584 3600 3621 3675 3808 3825 3840 3920 3976 4032 4080 4165 4200 4260 4284 4352 4410 4473 4480 4544 4608 4704 4760 4800 4828 4896 4900 4970 4998 5040 5041 5100 5112 5120 5325 5355 5376 5440 5600 5680 5712 5760 5880 5950 5964 6035 6120 6144 6272 6300 6390 6400 6528 6664 6720 6800 6816 6958 7056 7100 7140 7168 7200 7242 7350 7455 7497 7616 7650 7680 7840 7952 8064 8160 8330 8400 8449 8520 8568 8704 8820 8925 8946 8960 9088 9216 9408 9520 9600 9656 9792 9800 9940 9996 10080 10082 10200 10224 10240 10437 10650 10710 10752 10863 10880 11025 11200 11360 11424 11520 11760 11900 11928 12070 12240 12425 12495 12544 12600 12780 12800 13056 13328 13440 13600 13632 13916 14112 14200 14280 14336 14400 14484 14700 14910 14994 15123 15232 15300 15360 15680 15904 15975 16128 16320 16660 16800 16898 17040 17136 17395 17408 17640 17850 17892 17920 18105 18176 18432 18816 19040 19200 19312 19584 19600 19880 19992 20160 20164 20400 20448 20825 20874 21300 21420 21504 21726 21760 22050 22365 22400 22720 22848 23040 23520 23800 23856 24140 24480 24850 24990 25088 25200 25205 25347 25560 25600 26112 26656 26775 26880 27200 27264 27832 28224 28400 28560 28800 28968 29400 29820 29988 30175 30246 30464 30600 30720 31311 31360 31808 31950 32256 32640 33320 33600 33796 34080 34272 34790 34816 35280 35287 35700 35784 35840 36210 36352 37275 37485 37632 38080 38400 38624 39168 39200 39760 39984 40320 40328 40800 40896 41650 41748 42245 42600 42840 43008 43452 43520 44100 44730 44800 45369 45440 45696 46080 47040 47600 47712 48280 48960 49700 49980 50176 50400 50410 50694 51120 51200 52185 52224 53312 53550 53760 54315 54400 54528 55664 56448 56800 57120 57600 57936 58800 59143 59640 59976 60350 60492 60928 61200 62475 62622 62720 63616 63900 64512 65280 66640 67200 67592 68160 68544 69580 70560 70574 71400 71568 71680 72420 72704 74550 74970 75264 75615 76041 76160 76800 77248 78336 78400 79520 79968 80640 80656 81600 81792 83300 83496 84490 85200 85680 85697 86904 86975 87040 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14030111200 14227718400 14310713424 14430971520 14602768800 14906993150 15116950800 15332907240 15356902400 15393036288 15576286720 15783875100 16034412800 16124747520 16260249600 16355101056 16492538880 16836133440 17036563600 17276515200 17523322560 17888391780 17958542336 18038714400 18325043200 18428282880 18691544064 18970291200 19080951232 19166134050 19241295360 19349697024 19470358400 19744588800 20155934400 20203360128 20443876320 20615673600 21045166800 21466070136 21499663360 21806801408 21904153200 22360489725 22448177920 22764349440 23035353600 23089554432 23364430080 23851189040 24051619200 24187121280 24532651584 25254200160 25554845400 25655060480 25799596032 26832587670 26874579200 26937813504 27253094400 27258501760 27487564800 27642424320 28037316096 28060222400 28455436800 28621426848 28861943040 29205537600 29813986300 30233901600 30665814480 30713804800 31152573440 31567750200 32068825600 32249495040 32710202112 32985077760 33672266880 34073127200 34553030400 35046645120 35776783560 35917084672 36077428800 37383088128 37940582400 38161902464 38332268100 38482590720 38699394048 38940716800 39489177600 40311868800 40406720256 40887752640 41231347200 42090333600 42932140272 42999326720 43613602816 43808306400 44720979450 44896355840 46070707200 46179108864 46728860160 47702378080 48103238400 48374242560 49065303168 50508400320 51109690800 53665175340 53749158400 53875627008 54517003520 54975129600 55284848640 56074632192 56120444800 56910873600 57242853696 57723886080 58411075200 59627972600 60467803200 61331628960 62305146880 63135500400 64137651200 64498990080 65420404224 67081469175 67344533760 68146254400 69106060800 70093290240 71553567120 72154857600 76323804928 76664536200 76965181440 77398788096 77881433600 80623737600 80813440512 81775505280 82462694400 84180667200 85864280544 87227205632 87616612800 89441958900 89792711680 92141414400 93457720320 95404756160 96206476800 96748485120 98130606336 101016800640 102219381600 107330350680 107498316800 107751254016 109034007040 112149264384 112240889600 113821747200 114485707392 115447772160 116822150400 119255945200 120935606400 122663257920 126271000800 128275302400 128997980160 130840808448 134162938350 134689067520 136292508800 138212121600 140186580480 143107134240 144309715200 152647609856 153329072400 155762867200 161247475200 161626881024 163551010560 164925388800 168361334400 171728561088 175233225600 178883917800 179585423360 186915440640 190809512320 192412953600 193496970240 196261212672 202033601280 204438763200 214660701360 214996633600 218068014080 224481779200 228971414784 230895544320 233644300800 238511890400 241871212800 245326515840 252542001600 261681616896 268325876700 269378135040 272585017600 276424243200 280373160960 286214268480 288619430400 305295219712 306658144800 311525734400 322494950400 323253762048 327102021120 336722668800 343457122176 350466451200 357767835600 381619024640 384825907200 386993940480 392522425344 404067202560 408877526400 429321402720 436136028160 448963558400 457942829568 467288601600 477023780800 483742425600 490653031680 505084003200 536651753400 538756270080 545170035200 560746321920 572428536960 577238860800 610590439424 613316289600 644989900800 654204042240 673445337600 686914244352 700932902400 715535671200 763238049280 785044850688 808134405120 817755052800 858642805440 897927116800 915885659136 934577203200 954047561600 967484851200 981306063360 1010168006400 1073303506800 1090340070400 1144857073920 1154477721600 1226632579200 1308408084480 1346890675200 1373828488704 1401865804800 1431071342400 1526476098560 1616268810240 1635510105600 1717285610880 1831771318272 1908095123200 1934969702400 1962612126720 2020336012800 2146607013600 2180680140800 2289714147840 2453265158400 2693781350400 2747656977408 2803731609600 2862142684800 3052952197120 3271020211200 3434571221760 3816190246400 3925224253440 4040672025600 4293214027200 4579428295680 4906530316800 5495313954816 5724285369600 6542040422400 6869142443520 7632380492800 8081344051200 8586428054400 9158856591360 9813060633600 11448570739200 13738284887040 15264760985600 17172856108800 19626121267200 22897141478400 27476569774080 34345712217600 45794282956800 68691424435200 137382848870400
- Sum of all divisors σ(n): 614669481447840
- Sum of proper divisors (its aliquot sum) s(n): 477286632577440
- 137382848870400 is an abundant number, because the sum of its proper divisors (477286632577440) is greater than itself. Its abundance is 339903783707040
Bases of 137382848870400
- Binary: 111110011110010111011111110011110111000000000002
- Hexadecimal: 0x7CF2EFE7B800
- Base-36: 1CP4T53I80
Squares and roots of 137382848870400
- 137382848870400 squared (1373828488704002) is 18874047163747166555996160000
- 137382848870400 cubed (1373828488704003) is 2592970369069878744718637708202737664000000
-
The
square root of 137382848870400 is 11721042.9941366567 -
The
cube root of 137382848870400 is 51599.3430888067
Scales and comparisons
How big is 137382848870400?- 137,382,848,870,400 seconds is equal to 4,368,349 years, 33 weeks, 2 days, 8 hours.
-
To count from 1 to 137,382,848,870,400 would take you about ten million, nine hundred twenty thousand, eight hundred seventy-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 137382848870400 cubic inches would be around 4299.9 feet tall.
Recreational maths with 137382848870400
- 137382848870400 backwards is 004078848283731
- 137382848870400 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 137382848870400's digits is 63
- More coming soon!
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"Number 137382848870400 - Facts about the integer". Numbermatics.com. 2024. Web. 24 May 2024.
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Numbermatics. (2024). Number 137382848870400 - Facts about the integer. Retrieved 24 May 2024, from https://numbermatics.com/n/137382848870400/
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The information we have on file for 137382848870400 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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