137991667968
137,991,667,968 is an even composite number composed of six prime numbers multiplied together.
What does the number 137991667968 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 648 divisors.
137991667968 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of six hundred forty-eight divisors.
Prime factorization of 137991667968:
28 × 32 × 7 × 112 × 31 × 2281
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 7 × 11 × 11 × 31 × 2281)See below for interesting mathematical facts about the number 137991667968 from the Numbermatics database.
Names of 137991667968
- Cardinal: 137991667968 can be written as One hundred thirty-seven billion, nine hundred ninety-one million, six hundred sixty-seven thousand, nine hundred sixty-eight.
Scientific notation
- Scientific notation: 1.37991667968 × 1011
Factors of 137991667968
Divisors of 137991667968
- Number of divisors d(n): 648
-
Complete list of divisors:
1 2 3 4 6 7 8 9 11 12 14 16 18 21 22 24 28 31 32 33 36 42 44 48 56 62 63 64 66 72 77 84 88 93 96 99 112 121 124 126 128 132 144 154 168 176 186 192 198 217 224 231 242 248 252 256 264 279 288 308 336 341 352 363 372 384 396 434 448 462 484 496 504 528 558 576 616 651 672 682 693 704 726 744 768 792 847 868 896 924 968 992 1008 1023 1056 1089 1116 1152 1232 1302 1344 1364 1386 1408 1452 1488 1584 1694 1736 1792 1848 1936 1953 1984 2016 2046 2112 2178 2232 2281 2304 2387 2464 2541 2604 2688 2728 2772 2816 2904 2976 3069 3168 3388 3472 3696 3751 3872 3906 3968 4032 4092 4224 4356 4464 4562 4774 4928 5082 5208 5376 5456 5544 5808 5952 6138 6336 6776 6843 6944 7161 7392 7502 7623 7744 7812 7936 8064 8184 8448 8712 8928 9124 9548 9856 10164 10416 10912 11088 11253 11616 11904 12276 12672 13552 13686 13888 14322 14784 15004 15246 15488 15624 15967 16128 16368 17424 17856 18248 19096 19712 20328 20529 20832 21483 21824 22176 22506 23232 23808 24552 25091 25344 26257 27104 27372 27776 28644 29568 30008 30492 30976 31248 31934 32736 33759 34848 35712 36496 38192 40656 41058 41664 42966 43648 44352 45012 46464 47901 49104 50182 52514 54208 54744 55552 57288 59136 60016 60984 62496 63868 65472 67518 69696 70711 71424 72992 75273 76384 78771 81312 82116 83328 85932 87296 88704 90024 92928 95802 98208 100364 105028 108416 109488 114576 120032 121968 124992 127736 130944 135036 139392 141422 143703 145984 150546 152768 157542 162624 164232 166656 171864 175637 177408 180048 191604 196416 200728 210056 212133 216832 218976 225819 229152 236313 240064 243936 249984 255472 261888 270072 276001 278784 282844 287406 291968 301092 305536 315084 325248 328464 343728 351274 360096 383208 392832 401456 420112 424266 437952 451638 458304 472626 480128 487872 494977 499968 510944 526911 540144 552002 565688 574812 583936 602184 611072 630168 636399 650496 656928 687456 702548 720192 766416 777821 785664 802912 828003 840224 848532 875904 903276 916608 945252 960256 975744 989954 1021888 1053822 1080288 1104004 1131376 1149624 1204368 1260336 1272798 1313856 1374912 1405096 1440384 1484931 1532832 1555642 1580733 1605824 1656006 1680448 1697064 1751808 1806552 1833216 1890504 1932007 1951488 1979908 2043776 2107644 2160576 2208008 2262752 2299248 2333463 2408736 2484009 2520672 2545596 2627712 2749824 2810192 2880768 2969862 3065664 3111284 3161466 3211648 3312012 3360896 3394128 3613104 3781008 3864014 3959816 4087552 4215288 4321152 4416016 4454793 4525504 4598496 4666926 4817472 4968018 5041344 5091192 5255424 5444747 5499648 5620384 5796021 5939724 6131328 6222568 6322932 6423296 6624024 6721792 6788256 7000389 7226208 7562016 7728028 7919632 8430576 8556031 8642304 8832032 8909586 9051008 9196992 9333852 9634944 9936036 10082688 10182384 10889494 11240768 11592042 11879448 12262656 12445136 12645864 13248048 13576512 14000778 14452416 15124032 15456056 15839264 16334241 16861152 17112062 17388063 17664064 17819172 18102016 18393984 18667704 19269888 19872072 20165376 20364768 21778988 22481536 23184084 23758896 24890272 25291728 25668093 26496096 27153024 28001556 28904832 30248064 30912112 31678528 32668482 33722304 34224124 34776126 35328128 35638344 36787968 37335408 39744144 40729536 43557976 44963072 46368168 47517792 49002723 49780544 50583456 51336186 52992192 54306048 56003112 57809664 59892217 60496128 61824224 63357056 65336964 67444608 68448248 69552252 70656256 71276688 74670816 77004279 79488288 81459072 87115952 92736336 95035584 98005446 99561088 101166912 102672372 105984384 112006224 119784434 123648448 126714112 130673928 134889216 136896496 139104504 142553376 149341632 154008558 158976576 162918144 174231904 179676651 185472672 190071168 196010892 199122176 202333824 205344744 211968768 224012448 239568868 247296896 261347856 273792992 278209008 285106752 298683264 308017116 317953152 348463808 359353302 370945344 380142336 392021784 404667648 410689488 448024896 479137736 494593792 522695712 539029953 547585984 556418016 570213504 597366528 616034232 635906304 696927616 718706604 741890688 784043568 821378976 896049792 958275472 1045391424 1078059906 1095171968 1112836032 1140427008 1232068464 1393855232 1437413208 1483781376 1568087136 1642757952 1792099584 1916550944 2090782848 2156119812 2190343936 2225672064 2464136928 2874826416 3136174272 3285515904 3833101888 4181565696 4312239624 4451344128 4928273856 5749652832 6272348544 6571031808 7666203776 8624479248 9856547712 11499305664 12544697088 15332407552 17248958496 19713095424 22998611328 34497916992 45997222656 68995833984 137991667968
- Sum of all divisors σ(n): 516144731648
- Sum of proper divisors (its aliquot sum) s(n): 378153063680
- 137991667968 is an abundant number, because the sum of its proper divisors (378153063680) is greater than itself. Its abundance is 240161395712
Bases of 137991667968
- Binary: 100000001000001111000111000001000000002
- Hexadecimal: 0x2020F1C100
- Base-36: 1RE4OCG0
Squares and roots of 137991667968
- 137991667968 squared (1379916679682) is 19041700428590757249024
- 137991667968 cubed (1379916679683) is 2627596003088219068461008900063232
-
The
square root of 137991667968 is 371472.2977127637 -
The
cube root of 137991667968 is 5167.5452478093
Scales and comparisons
How big is 137991667968?- 137,991,667,968 seconds is equal to 4,387 years, 36 weeks, 5 days, 18 hours, 52 minutes, 48 seconds.
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To count from 1 to 137,991,667,968 would take you about eight thousand, seven hundred seventy-five 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 137991667968 cubic inches would be around 430.6 feet tall.
Recreational maths with 137991667968
- 137991667968 backwards is 869766199731
- 137991667968 is a
Harshad number . - The number of decimal digits it has is: 12
- The sum of 137991667968's digits is 72
- More coming soon!
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The information we have on file for 137991667968 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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