138531866400
138,531,866,400 is an even composite number composed of six prime numbers multiplied together.
138531866400 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of four hundred thirty-two divisors.
Prime factorization of 138531866400:
25 × 32 × 52 × 53 × 73 × 4973
(2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 5 × 53 × 73 × 4973)See below for interesting mathematical facts about the number 138531866400 from the Numbermatics database.
Names of 138531866400
- Cardinal: 138531866400 can be written as One hundred thirty-eight billion, five hundred thirty-one million, eight hundred sixty-six thousand, four hundred.
Scientific notation
- Scientific notation: 1.385318664 × 1011
Factors of 138531866400
Divisors of 138531866400
- Number of divisors d(n): 432
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Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 25 30 32 36 40 45 48 50 53 60 72 73 75 80 90 96 100 106 120 144 146 150 159 160 180 200 212 219 225 240 265 288 292 300 318 360 365 400 424 438 450 477 480 530 584 600 636 657 720 730 795 800 848 876 900 954 1060 1095 1168 1200 1272 1314 1325 1440 1460 1590 1696 1752 1800 1825 1908 2120 2190 2336 2385 2400 2544 2628 2650 2920 3180 3285 3504 3600 3650 3816 3869 3975 4240 4380 4770 4973 5088 5256 5300 5475 5840 6360 6570 7008 7200 7300 7632 7738 7950 8480 8760 9540 9946 10512 10600 10950 11607 11680 11925 12720 13140 14600 14919 15264 15476 15900 16425 17520 19080 19345 19892 21024 21200 21900 23214 23850 24865 25440 26280 29200 29838 30952 31800 32850 34821 35040 38160 38690 39784 42400 43800 44757 46428 47700 49730 52560 58035 58400 59676 61904 63600 65700 69642 74595 76320 77380 79568 87600 89514 92856 95400 96725 99460 105120 116070 119352 123808 124325 127200 131400 139284 149190 154760 159136 174105 175200 179028 185712 190800 193450 198920 223785 232140 238704 248650 262800 263569 278568 290175 298380 309520 348210 358056 363029 371424 372975 381600 386900 397840 447570 464280 477408 497300 525600 527138 557136 580350 596760 619040 696420 716112 726058 745950 773800 790707 795680 870525 895140 928560 994600 1054276 1089087 1114272 1118925 1160700 1193520 1317845 1392840 1432224 1452116 1491900 1547600 1581414 1741050 1790280 1815145 1857120 1989200 2108552 2178174 2237850 2321400 2372121 2387040 2635690 2785680 2904232 2983800 3095200 3162828 3267261 3482100 3580560 3630290 3953535 3978400 4217104 4356348 4475700 4642800 4744242 5271380 5445435 5571360 5808464 5967600 6325656 6534522 6589225 6964200 7161120 7260580 7907070 8434208 8712696 8951400 9075725 9285600 9488484 10542760 10890870 11616928 11860605 11935200 12651312 13069044 13178450 13928400 14521160 15814140 16336305 17425392 17902800 18151450 18976968 19240537 19767675 21085520 21781740 23721210 25302624 26138088 26356900 27227175 27856800 29042320 31628280 32672610 34850784 35805600 36302900 37953936 38481074 39535350 42171040 43563480 47442420 52276176 52713800 54454350 57721611 58084640 59303025 63256560 65345220 72605800 75907872 76962148 79070700 81681525 87126960 94884840 96202685 104552352 105427600 108908700 115443222 118606050 126513120 130690440 145211600 153924296 158141400 163363050 173164833 174253920 189769680 192405370 210855200 217817400 230886444 237212100 261380880 288608055 290423200 307848592 316282800 326726100 346329666 379539360 384810740 435634800 461772888 474424200 481013425 522761760 577216110 615697184 632565600 653452200 692659332 769621480 865824165 871269600 923545776 948848400 962026850 1154432220 1306904400 1385318664 1443040275 1539242960 1731648330 1847091552 1897696800 1924053700 2308864440 2613808800 2770637328 2886080550 3078485920 3463296660 3848107400 4329120825 4617728880 5541274656 5772161100 6926593320 7696214800 8658241650 9235457760 11544322200 13853186640 15392429600 17316483300 23088644400 27706373280 34632966600 46177288800 69265933200 138531866400
- Sum of all divisors σ(n): 504634404456
- Sum of proper divisors (its aliquot sum) s(n): 366102538056
- 138531866400 is an abundant number, because the sum of its proper divisors (366102538056) is greater than itself. Its abundance is 227570671656
Bases of 138531866400
- Binary: 100000010000010010010010000111001000002
- Hexadecimal: 0x2041248720
- Base-36: 1RN2AO80
Squares and roots of 138531866400
- 138531866400 squared (1385318664002) is 19191078008267448960000
- 138531866400 cubed (1385318664003) is 2658575854713284334795538944000000
-
The
square root of 138531866400 is 372198.6920987229 -
The
cube root of 138531866400 is 5174.2796280759
Scales and comparisons
How big is 138531866400?- 138,531,866,400 seconds is equal to 4,404 years, 46 weeks, 2 hours.
-
To count from 1 to 138,531,866,400 would take you about eight thousand, eight hundred 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 138531866400 cubic inches would be around 431.2 feet tall.
Recreational maths with 138531866400
- 138531866400 backwards is 004668135831
- 138531866400 is a
Harshad number . - The number of decimal digits it has is: 12
- The sum of 138531866400's digits is 45
- More coming soon!
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