138441013118200
138,441,013,118,200 is an even composite number composed of seven prime numbers multiplied together.
138441013118200 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of three hundred eighty-four divisors.
Prime factorization of 138441013118200:
23 × 52 × 13 × 23 × 47 × 71 × 693757
(2 × 2 × 2 × 5 × 5 × 13 × 23 × 47 × 71 × 693757)See below for interesting mathematical facts about the number 138441013118200 from the Numbermatics database.
Names of 138441013118200
- Cardinal: 138441013118200 can be written as One hundred thirty-eight trillion, four hundred forty-one billion, thirteen million, one hundred eighteen thousand, two hundred.
Scientific notation
- Scientific notation: 1.384410131182 × 1014
Factors of 138441013118200
Divisors of 138441013118200
- Number of divisors d(n): 384
-
Complete list of divisors:
1 2 4 5 8 10 13 20 23 25 26 40 46 47 50 52 65 71 92 94 100 104 115 130 142 184 188 200 230 235 260 284 299 325 355 376 460 470 520 568 575 598 611 650 710 920 923 940 1081 1150 1175 1196 1222 1300 1420 1495 1633 1775 1846 1880 2162 2300 2350 2392 2444 2600 2840 2990 3055 3266 3337 3550 3692 4324 4600 4615 4700 4888 5405 5980 6110 6532 6674 7100 7384 7475 8165 8648 9230 9400 10810 11960 12220 13064 13348 14053 14200 14950 15275 16330 16685 18460 21229 21620 23075 24440 26696 27025 28106 29900 30550 32660 33370 36920 40825 42458 43240 43381 46150 54050 56212 59800 61100 65320 66740 70265 76751 81650 83425 84916 86762 92300 106145 108100 112424 122200 133480 140530 153502 163300 166850 169832 173524 184600 212290 216200 216905 281060 307004 326600 333700 347048 351325 383755 424580 433810 530725 562120 614008 667400 693757 702650 767510 849160 867620 997763 1061450 1084525 1387514 1405300 1535020 1735240 1918775 1995526 2122900 2169050 2775028 2810600 3070040 3468785 3837550 3991052 4245800 4338100 4988815 5550056 6937570 7675100 7982104 8676200 9018841 9977630 13875140 15350200 15956411 17343925 18037682 19955260 24944075 27750280 31912822 32606579 34687850 36075364 39910520 45094205 49256747 49888150 63825644 65213158 69375700 72150728 79782055 90188410 98513494 99776300 127651288 130426316 138751400 159564110 163032895 180376820 197026988 199552600 207433343 225471025 246283735 260852632 319128220 326065790 360753640 394053976 398910275 414866686 423885527 450942050 492567470 638256440 640337711 652131580 749951317 797820550 815164475 829733372 847771054 901884100 985134940 1037166715 1132905181 1231418675 1280675422 1304263160 1499902634 1595641100 1630328950 1659466744 1695542108 1803768200 1970269880 2074333430 2119427635 2265810362 2315067109 2462837350 2561350844 2999805268 3191282200 3201688555 3260657900 3391084216 3749756585 4148666860 4238855270 4531620724 4630134218 4925674700 5122701688 5185833575 5664525905 5999610536 6403377110 6521315800 7499513170 8297333720 8477710540 9063241448 9260268436 9749367121 9851349400 10371667150 10597138175 11329051810 11575335545 12806754220 14727767353 14999026340 16008442775 16955421080 18520536872 18748782925 19498734242 20743334300 21194276350 22658103620 23150671090 25613508440 28322629525 29455534706 29998052680 30095872417 32016885550 37497565850 38997468484 41486668600 42388552700 45316207240 46301342180 48746835605 53246543507 56645259050 57876677725 58911069412 60191744834 64033771100 73638836765 74995131700 77994936968 84777105400 92602684360 97493671210 106493087014 113290518100 115753355450 117822138824 120383489668 128067542200 147277673530 149990263400 150479362085 194987342420 212986174028 226581036200 231506710900 240766979336 243734178025 266232717535 294555347060 300958724170 368194183825 389974684840 425972348056 463013421800 487468356050 532465435070 589110694120 601917448340 692205065591 736388367650 752396810425 974936712100 1064930870140 1203834896680 1331163587675 1384410131182 1472776735300 1504793620850 1949873424200 2129861740280 2662327175350 2768820262364 2945553470600 3009587241700 3461025327955 5324654350700 5537640524728 6019174483400 6922050655910 10649308701400 13844101311820 17305126639775 27688202623640 34610253279550 69220506559100 138441013118200
- Sum of all divisors σ(n): 374605343723520
- Sum of proper divisors (its aliquot sum) s(n): 236164330605320
- 138441013118200 is an abundant number, because the sum of its proper divisors (236164330605320) is greater than itself. Its abundance is 97723317487120
Bases of 138441013118200
- Binary: 111110111101001010011110110100011000100111110002
- Hexadecimal: 0x7DE94F68C4F8
- Base-36: 1D2MX8RPBS
Squares and roots of 138441013118200
- 138441013118200 squared (1384410131182002) is 19165914113193624487171240000
- 138441013118200 cubed (1384410131182003) is 2653348567166933087325078384449760568000000
-
The
square root of 138441013118200 is 11766095.9165816765 -
The
cube root of 138441013118200 is 51731.4823233401
Scales and comparisons
How big is 138441013118200?- 138,441,013,118,200 seconds is equal to 4,401,995 years, 51 weeks, 3 days, 17 hours, 16 minutes, 40 seconds.
-
To count from 1 to 138,441,013,118,200 would take you about eleven million, four thousand, nine hundred eighty-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 138441013118200 cubic inches would be around 4311 feet tall.
Recreational maths with 138441013118200
- 138441013118200 backwards is 002811310144831
- The number of decimal digits it has is: 15
- The sum of 138441013118200's digits is 37
- More coming soon!
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