137680694870400
137,680,694,870,400 is an even composite number composed of six prime numbers multiplied together.
What does the number 137680694870400 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 2592 divisors.
137680694870400 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 137680694870400:
27 × 33 × 52 × 112 × 192 × 1912
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 5 × 5 × 11 × 11 × 19 × 19 × 191 × 191)See below for interesting mathematical facts about the number 137680694870400 from the Numbermatics database.
Names of 137680694870400
- Cardinal: 137680694870400 can be written as One hundred thirty-seven trillion, six hundred eighty billion, six hundred ninety-four million, eight hundred seventy thousand, four hundred.
Scientific notation
- Scientific notation: 1.376806948704 × 1014
Factors of 137680694870400
Divisors of 137680694870400
- Number of divisors d(n): 2592
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Complete list of divisors:
1 2 3 4 5 6 8 9 10 11 12 15 16 18 19 20 22 24 25 27 30 32 33 36 38 40 44 45 48 50 54 55 57 60 64 66 72 75 76 80 88 90 95 96 99 100 108 110 114 120 121 128 132 135 144 150 152 160 165 171 176 180 190 191 192 198 200 209 216 220 225 228 240 242 264 270 275 285 288 297 300 304 320 330 342 352 360 361 363 380 382 384 396 400 418 432 440 450 456 475 480 484 495 513 528 540 550 570 573 576 594 600 605 608 627 640 660 675 684 704 720 722 726 760 764 792 800 825 836 855 864 880 900 912 950 955 960 968 990 1026 1045 1056 1080 1083 1089 1100 1140 1146 1152 1188 1200 1210 1216 1254 1320 1350 1368 1408 1425 1440 1444 1452 1485 1520 1528 1584 1600 1650 1672 1710 1719 1728 1760 1800 1805 1815 1824 1881 1900 1910 1920 1936 1980 2052 2090 2101 2112 2160 2166 2178 2200 2280 2292 2299 2376 2400 2420 2432 2475 2508 2565 2640 2700 2736 2850 2865 2880 2888 2904 2970 3025 3040 3056 3135 3168 3200 3249 3267 3300 3344 3420 3438 3456 3520 3600 3610 3629 3630 3648 3762 3800 3820 3872 3960 3971 4104 4180 4202 4224 4275 4320 4332 4356 4400 4560 4584 4598 4752 4775 4800 4840 4950 5016 5130 5157 5225 5280 5400 5415 5445 5472 5643 5700 5730 5760 5776 5808 5940 6050 6080 6112 6270 6303 6336 6498 6534 6600 6688 6840 6876 6897 7040 7200 7220 7258 7260 7296 7425 7524 7600 7640 7744 7920 7942 8208 8360 8404 8550 8595 8640 8664 8712 8800 9025 9075 9120 9168 9196 9405 9504 9550 9600 9680 9747 9900 10032 10260 10314 10450 10505 10560 10800 10830 10887 10890 10944 11286 11400 11460 11495 11552 11616 11880 11913 12100 12160 12224 12540 12606 12672 12825 12996 13068 13200 13376 13680 13752 13794 14325 14400 14440 14516 14520 14850 15048 15200 15280 15488 15675 15840 15884 16245 16335 16416 16720 16808 17100 17190 17280 17328 17424 17600 18050 18145 18150 18240 18336 18392 18810 18909 19008 19100 19360 19494 19800 19855 20064 20520 20628 20691 20900 21010 21120 21600 21660 21774 21780 21888 22572 22800 22920 22990 23104 23111 23232 23760 23826 24200 24448 25080 25212 25650 25785 25992 26136 26400 26752 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80515026240 82344913200 83442845376 86050434294 86919630600 90105166800 90579404520 92714272640 94821415200 95346741600 95611593660 96618031488 97784584425 100643782800 101985699904 104303556720 109793217600 113224255650 113785698240 114733912392 115892840800 119514492075 120140222400 120772539360 125164268064 126428553600 127128988800 127482124880 130379445900 131751861120 134191710400 139071408960 142232122800 143417390490 144168266880 144927047232 150965674200 152978549856 156455335080 159352656100 161030052480 164689826400 166885690752 172100868588 173839261200 180210333600 181158809040 189642830400 190693483200 191223187320 195569168850 201287565600 203971399808 208607113440 215126085735 219586435200 226448511300 227571396480 229467824784 231785681600 239028984150 240280444800 241545078720 250328536128 254964249760 260758891800 268383420800 278142817920 284464245600 286834780980 289854094464 301931348400 305957099712 312910670160 318705312200 329379652800 344201737176 347678522400 358543476225 360420667200 362317618080 379285660800 381386966400 382446374640 391138337700 402575131200 417214226880 430252171470 452897022600 458935649568 463571363200 478057968300 483090157440 500657072256 509928499520 521517783600 568928491200 573669561960 603862696800 611914199424 625821340320 637410624400 658759305600 688403474352 695357044800 717086952450 720841334400 724635236160 764892749280 782276675400 805150262400 834428453760 860504342940 905794045200 917871299136 956115936600 1019856999040 1043035567200 1075630428675 1137856982400 1147339123920 1207725393600 1251642680640 1274821248800 1376806948704 1390714089600 1434173904900 1449270472320 1529785498560 1564553350800 1721008685880 1811588090400 1835742598272 1912231873200 2086071134400 2151260857350 2294678247840 2415450787200 2503285361280 2549642497600 2753613897408 2868347809800 3059570997120 3129106701600 3442017371760 3623176180800 3824463746400 4172142268800 4302521714700 4589356495680 5099284995200 5507227794816 5736695619600 6258213403200 6884034743520 7246352361600 7648927492800 8605043429400 9178712991360 11473391239200 12516426806400 13768069487040 15297854985600 17210086858800 22946782478400 27536138974080 34420173717600 45893564956800 68840347435200 137680694870400
- Sum of all divisors σ(n): 587604239749800
- Sum of proper divisors (its aliquot sum) s(n): 449923544879400
- 137680694870400 is an abundant number, because the sum of its proper divisors (449923544879400) is greater than itself. Its abundance is 312242850009000
Bases of 137680694870400
- Binary: 111110100111000010010001110100100000001100000002
- Hexadecimal: 0x7D3848E90180
- Base-36: 1CSXMYWYO0
Squares and roots of 137680694870400
- 137680694870400 squared (1376806948704002) is 18955973739996188872796160000
- 137680694870400 cubed (1376806948704003) is 2609871636467730384654335824216817664000000
-
The
square root of 137680694870400 is 11733741.7250594023 -
The
cube root of 137680694870400 is 51636.6052968369
Scales and comparisons
How big is 137680694870400?- 137,680,694,870,400 seconds is equal to 4,377,820 years, 11 weeks, 4 days.
-
To count from 1 to 137,680,694,870,400 would take you about ten million, nine hundred forty-four thousand, five hundred fifty 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 137680694870400 cubic inches would be around 4303.1 feet tall.
Recreational maths with 137680694870400
- 137680694870400 backwards is 004078496086731
- The number of decimal digits it has is: 15
- The sum of 137680694870400's digits is 63
- More coming soon!
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"Number 137680694870400 - Facts about the integer". Numbermatics.com. 2024. Web. 3 May 2024.
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Numbermatics. (2024). Number 137680694870400 - Facts about the integer. Retrieved 3 May 2024, from https://numbermatics.com/n/137680694870400/
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The information we have on file for 137680694870400 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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