138527406976000
138,527,406,976,000 is an even composite number composed of six prime numbers multiplied together.
138527406976000 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of seven hundred four divisors.
Prime factorization of 138527406976000:
210 × 53 × 7 × 73 × 281 × 7537
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 5 × 7 × 73 × 281 × 7537)See below for interesting mathematical facts about the number 138527406976000 from the Numbermatics database.
Names of 138527406976000
- Cardinal: 138527406976000 can be written as One hundred thirty-eight trillion, five hundred twenty-seven billion, four hundred six million, nine hundred seventy-six thousand.
Scientific notation
- Scientific notation: 1.38527406976 × 1014
Factors of 138527406976000
Divisors of 138527406976000
- Number of divisors d(n): 704
-
Complete list of divisors:
1 2 4 5 7 8 10 14 16 20 25 28 32 35 40 50 56 64 70 73 80 100 112 125 128 140 146 160 175 200 224 250 256 280 281 292 320 350 365 400 448 500 511 512 560 562 584 640 700 730 800 875 896 1000 1022 1024 1120 1124 1168 1280 1400 1405 1460 1600 1750 1792 1825 1967 2000 2044 2240 2248 2336 2555 2560 2800 2810 2920 3200 3500 3584 3650 3934 4000 4088 4480 4496 4672 5110 5120 5600 5620 5840 6400 7000 7025 7168 7300 7537 7868 8000 8176 8960 8992 9125 9344 9835 10220 11200 11240 11680 12775 12800 14000 14050 14600 15074 15736 16000 16352 17920 17984 18250 18688 19670 20440 20513 22400 22480 23360 25550 25600 28000 28100 29200 30148 31472 32000 32704 35125 35840 35968 36500 37376 37685 39340 40880 41026 44800 44960 46720 49175 51100 52759 56000 56200 58400 60296 62944 63875 64000 65408 70250 71936 73000 74752 75370 78680 81760 82052 89600 89920 93440 98350 102200 102565 105518 112000 112400 116800 120592 125888 127750 128000 130816 140500 143591 143872 146000 150740 157360 163520 164104 179200 179840 186880 188425 196700 204400 205130 211036 224000 224800 233600 241184 245875 251776 255500 261632 263795 281000 287182 287744 292000 301480 314720 327040 328208 359680 373760 376850 393400 408800 410260 422072 448000 449600 467200 482368 491750 503552 511000 512825 523264 527590 550201 562000 574364 584000 602960 629440 654080 656416 717955 719360 753700 786800 817600 820520 844144 896000 899200 934400 942125 964736 983500 1007104 1022000 1025650 1055180 1100402 1124000 1148728 1168000 1205920 1258880 1308160 1312832 1318975 1435910 1438720 1507400 1573600 1635200 1641040 1688288 1798400 1868800 1884250 1929472 1967000 2014208 2044000 2051300 2110360 2117897 2200804 2248000 2297456 2336000 2411840 2517760 2564125 2616320 2625664 2637950 2751005 2871820 3014800 3147200 3270400 3282080 3376576 3589775 3596800 3768500 3851407 3858944 3934000 4088000 4102600 4220720 4235794 4401608 4496000 4594912 4672000 4823680 5035520 5128250 5251328 5275900 5502010 5743640 6029600 6294400 6540800 6564160 6594875 6753152 7179550 7193600 7537000 7702814 7717888 7868000 8176000 8205200 8441440 8471588 8803216 8992000 9189824 9344000 9647360 10071040 10256500 10502656 10551800 10589485 11004020 11487280 12059200 12588800 13081600 13128320 13189750 13506304 13755025 14359100 14825279 15074000 15405628 15736000 16352000 16410400 16882880 16943176 17606432 17948875 17984000 18379648 19257035 19294720 20513000 21005312 21103600 21178970 22008040 22974560 24118400 25177600 26256640 26379500 27012608 27510050 28718200 29650558 30148000 30811256 31472000 32704000 32820800 33765760 33886352 35212864 35897750 35968000 36759296 38514070 38589440 41026000 42207200 42357940 44016080 45949120 48236800 50355200 52513280 52759000 52947425 54025216 55020100 57436400 59301116 60296000 61622512 62944000 65408000 65641600 67531520 67772704 68775125 70425728 71795500 73518592 74126395 77028140 82052000 84414400 84715880 88032160 91898240 96285175 96473600 105026560 105518000 105894850 110040200 114872800 118602232 120592000 123245024 125888000 131283200 135063040 135545408 137550250 140851456 143591000 147037184 148252790 154056280 154606481 164104000 168828800 169431760 176064320 183796480 192570350 192947200 211036000 211789700 220080400 229745600 237204464 241184000 246490048 251776000 262566400 264737125 270126080 271090816 275100500 281702912 287182000 296505580 308112560 309212962 328208000 337657600 338863520 352128640 367592960 370631975 385140700 422072000 423579400 440160800 459491200 474408928 481425875 482368000 492980096 525132800 529474250 542181632 550201000 563405824 574364000 593011160 616225120 618425924 656416000 675315200 677727040 704257280 735185920 741263950 770281400 773032405 844144000 847158800 880321600 918982400 948817856 962851750 964736000 985960192 1058948500 1082245367 1084363264 1100402000 1148728000 1186022320 1232450240 1236851848 1312832000 1350630400 1355454080 1408514560 1482527900 1540562800 1546064810 1688288000 1694317600 1760643200 1837964800 1853159875 1897635712 1925703500 1971920384 2117897000 2164490734 2168726528 2200804000 2297456000 2372044640 2464900480 2473703696 2625664000 2710908160 2817029120 2965055800 3081125600 3092129620 3376576000 3388635200 3521286400 3675929600 3706319750 3795271424 3851407000 3865162025 3943840768 4235794000 4328981468 4401608000 4594912000 4744089280 4929800960 4947407392 5411226835 5421816320 5930111600 6162251200 6184259240 6753152000 6777270400 7042572800 7412639500 7590542848 7702814000 7730324050 8471588000 8657962936 8803216000 9189824000 9488178560 9859601920 9894814784 10822453670 10843632640 11860223200 12324502400 12368518480 13554540800 14085145600 14825279000 15181085696 15405628000 15460648100 16943176000 17315925872 17606432000 18379648000 18976357120 19325810125 19719203840 19789629568 21644907340 23720446400 24649004800 24737036960 27056134175 27109081600 29650558000 30811256000 30921296200 33886352000 34631851744 35212864000 37952714240 38651620250 39579259136 43289814680 47440892800 49298009600 49474073920 54112268350 54218163200 59301116000 61622512000 61842592400 67772704000 69263703488 70425728000 75905428480 77303240500 79158518272 86579629360 94881785600 98596019200 98948147840 108224536700 118602232000 123245024000 123685184800 135280670875 135545408000 138527406976 154606481000 158317036544 173159258720 189763571200 197896295680 216449073400 237204464000 246490048000 247370369600 270561341750 271090816000 277054813952 309212962000 346318517440 379527142400 395792591360 432898146800 474408928000 492980096000 494740739200 541122683500 554109627904 618425924000 692637034880 791585182720 865796293600 948817856000 989481478400 1082245367000 1108219255808 1236851848000 1385274069760 1731592587200 1897635712000 1978962956800 2164490734000 2473703696000 2770548139520 3463185174400 3957925913600 4328981468000 4947407392000 5541096279040 6926370348800 8657962936000 9894814784000 13852740697600 17315925872000 19789629568000 27705481395200 34631851744000 69263703488000 138527406976000
- Sum of all divisors σ(n): 401855011893504
- Sum of proper divisors (its aliquot sum) s(n): 263327604917504
- 138527406976000 is an abundant number, because the sum of its proper divisors (263327604917504) is greater than itself. Its abundance is 124800197941504
Bases of 138527406976000
- Binary: 111110111111101011011001110001001101100000000002
- Hexadecimal: 0x7DFD6CE26C00
- Base-36: 1D3QM1FWN4
Squares and roots of 138527406976000
- 138527406976000 squared (1385274069760002) is 19189842483494333464576000000
- 138527406976000 cubed (1385274069760003) is 2658319119516354094437175631282176000000000
-
The
square root of 138527406976000 is 11769766.6491736361 -
The
cube root of 138527406976000 is 51742.2410642331
Scales and comparisons
How big is 138527406976000?- 138,527,406,976,000 seconds is equal to 4,404,743 years, 2 weeks, 3 days, 15 hours, 6 minutes, 40 seconds.
-
To count from 1 to 138,527,406,976,000 would take you about eleven million, eleven thousand, eight hundred fifty-seven 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 138527406976000 cubic inches would be around 4311.9 feet tall.
Recreational maths with 138527406976000
- 138527406976000 backwards is 000679604725831
- The number of decimal digits it has is: 15
- The sum of 138527406976000's digits is 58
- More coming soon!
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