137215053031680
137,215,053,031,680 is an even composite number composed of seven prime numbers multiplied together.
What does the number 137215053031680 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 2592 divisors.
137215053031680 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of two thousand, five hundred ninety-two divisors.
Prime factorization of 137215053031680:
28 × 32 × 5 × 133 × 31 × 47 × 612
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 13 × 13 × 13 × 31 × 47 × 61 × 61)See below for interesting mathematical facts about the number 137215053031680 from the Numbermatics database.
Names of 137215053031680
- Cardinal: 137215053031680 can be written as One hundred thirty-seven trillion, two hundred fifteen billion, fifty-three million, thirty-one thousand, six hundred eighty.
Scientific notation
- Scientific notation: 1.3721505303168 × 1014
Factors of 137215053031680
Divisors of 137215053031680
- Number of divisors d(n): 2592
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Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 13 15 16 18 20 24 26 30 31 32 36 39 40 45 47 48 52 60 61 62 64 65 72 78 80 90 93 94 96 104 117 120 122 124 128 130 141 144 155 156 160 169 180 183 186 188 192 195 208 234 235 240 244 248 256 260 279 282 288 305 310 312 320 338 360 366 372 376 384 390 403 416 423 465 468 470 480 488 496 507 520 549 558 564 576 585 610 611 620 624 640 676 705 720 732 744 752 768 780 793 806 832 845 846 915 930 936 940 960 976 992 1014 1040 1098 1116 1128 1152 1170 1209 1220 1222 1240 1248 1280 1352 1395 1410 1440 1457 1464 1488 1504 1521 1560 1586 1612 1664 1690 1692 1830 1833 1860 1872 1880 1891 1920 1952 1984 2015 2028 2080 2115 2196 2197 2232 2256 2304 2340 2379 2418 2440 2444 2480 2496 2535 2704 2745 2790 2820 2867 2880 2914 2928 2976 3008 3042 3055 3120 3172 3224 3328 3380 3384 3627 3660 3666 3720 3721 3744 3760 3782 3840 3904 3965 3968 4030 4056 4160 4230 4371 4392 4394 4464 4512 4680 4758 4836 4880 4888 4960 4992 5070 5239 5408 5490 5499 5580 5640 5673 5734 5760 5828 5856 5952 6016 6045 6084 6110 6240 6344 6448 6591 6760 6768 7137 7254 7285 7320 7332 7440 7442 7488 7520 7564 7605 7808 7930 7936 7943 8060 8112 8320 8460 8601 8742 8784 8788 8928 9024 9165 9360 9455 9516 9672 9760 9776 9920 9984 10140 10309 10478 10816 10980 10985 10998 11160 11163 11280 11346 11468 11520 11656 11712 11895 11904 12032 12090 12168 12220 12480 12688 12896 13113 13182 13520 13536 14274 14335 14508 14570 14640 14664 14880 14884 14976 15040 15128 15210 15616 15717 15860 15886 16120 16224 16640 16920 17019 17202 17484 17568 17576 17856 18048 18135 18330 18605 18720 18910 18941 19032 19344 19520 19552 19773 19840 20280 20618 20956 21632 21855 21960 21970 21996 22320 22326 22560 22692 22936 23312 23424 23790 23808 23829 24180 24336 24440 24583 24960 25376 25792 25803 26195 26226 26364 27040 27072 27495 28365 28548 28670 29016 29140 29280 29328 29760 29768 29952 30080 30256 30420 30927 31434 31720 31772 32240 32448 32955 33489 33840 34038 34404 34968 35136 35152 35685 35712 36096 36270 36660 37210 37271 37440 37820 37882 38064 38688 39040 39104 39546 39680 39715 40560 41236 41912 43005 43264 43710 43920 43940 43992 44640 44652 45120 45384 45872 46624 46848 47151 47580 47658 48360 48373 48672 48880 49166 49920 50752 51545 51584 51606 52390 52452 52728 54080 54144 54990 55815 56730 56823 57096 57340 58032 58280 58560 58656 59520 59536 60160 60512 60840 61854 62868 63440 63544 64480 64896 65565 65910 66978 67680 68076 68107 68808 69936 70272 70304 71370 71424 71487 72540 73320 73749 74420 74542 74880 75640 75764 76128 77376 78080 78208 78585 79092 79430 81120 82472 83824 85095 86010 87420 87840 87880 87984 88877 89280 89304 90240 90768 91744 92781 93248 94302 94705 95160 95316 96720 96746 97344 97760 98332 98865 101504 103090 103168 103212 103259 104780 104904 105456 108160 108288 109980 111630 111813 113460 113646 114192 114680 115351 116064 116560 117120 117312 119040 119072 119145 121024 121680 122915 123708 125736 126880 127088 128960 129015 129792 131130 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56747333760 57677617920 58638911552 59555144545 60822275280 61476278240 62455645440 62484086080 64877093632 65968775496 67660282560 68096800512 69160813020 70294596840 71466173454 72562164480 72986730336 73298639440 73771533888 74858184960 74980903296 81096367040 81192339072 82460969370 85121000640 86516426880 87958367328 90213710080 91233412920 92214417360 93726129120 94176426240 95288231272 97315640448 98362045184 101490423840 107199260181 109947959160 110657300832 112287277440 112471354944 113494667520 117277823104 119110289090 121644550560 122952556480 124968172160 131937550992 135320565120 138321626040 140589193680 142932346908 145973460672 146597278880 147543067776 149961806592 162192734080 162384678144 164921938740 170242001280 173032853760 175916734656 178665433635 182466825840 184428834720 187452258240 190576462544 194631280896 202980847680 214398520362 219895918320 221314601664 224574554880 224942709888 234555646208 238220578180 243289101120 245905112960 249936344320 263875101984 270641130240 276643252080 281178387360 285864693816 291946921344 293194557760 295086135552 324385468160 329843877480 340484002560 351833469312 357330867270 364933651680 368857669440 374904516480 381152925088 405961695360 428797040724 439791836640 442629203328 449885419776 476441156360 486578202240 491810225920 527750203968 535996300905 553286504160 562356774720 571729387632 583893842688 586389115520 659687754960 703666938624 714661734540 729867303360 737715338880 749809032960 762305850176 811923390720 857594081448 879583673280 885258406656 952882312720 973156404480 1055500407936 1071992601810 1106573008320 1124713549440 1143458775264 1172778231040 1319375509920 1429323469080 1459734606720 1475430677760 1524611700352 1715188162896 1759167346560 1905764625440 2111000815872 2143985203620 2213146016640 2249427098880 2286917550528 2638751019840 2858646938160 2919469213440 3049223400704 3430376325792 3518334693120 3811529250880 4287970407240 4426292033280 4573835101056 5277502039680 5717293876320 6860752651584 7623058501760 8575940814480 9147670202112 10555004079360 11434587752640 13721505303168 15246117003520 17151881628960 22869175505280 27443010606336 34303763257920 45738351010560 68607526515840 137215053031680
- Sum of all divisors σ(n): 551213717483520
- Sum of proper divisors (its aliquot sum) s(n): 413998664451840
- 137215053031680 is an abundant number, because the sum of its proper divisors (413998664451840) is greater than itself. Its abundance is 276783611420160
Bases of 137215053031680
- Binary: 111110011001011110111100111111001101001000000002
- Hexadecimal: 0x7CCBDE7E6900
- Base-36: 1CMZQ3SCG0
Squares and roots of 137215053031680
- 137215053031680 squared (1372150530316802) is 18827970778486754759083622400
- 137215053031680 cubed (1372150530316803) is 2583481008848981428328121869815756357632000
-
The
square root of 137215053031680 is 11713882.9186431601 -
The
cube root of 137215053031680 is 51578.3271651441
Scales and comparisons
How big is 137215053031680?- 137,215,053,031,680 seconds is equal to 4,363,014 years, 13 weeks, 20 hours, 48 minutes.
-
To count from 1 to 137,215,053,031,680 would take you about ten million, nine hundred seven thousand, five hundred thirty-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 137215053031680 cubic inches would be around 4298.2 feet tall.
Recreational maths with 137215053031680
- 137215053031680 backwards is 086130350512731
- 137215053031680 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 137215053031680's digits is 45
- More coming soon!
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"Number 137215053031680 - Facts about the integer". Numbermatics.com. 2024. Web. 24 June 2024.
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Numbermatics. (2024). Number 137215053031680 - Facts about the integer. Retrieved 24 June 2024, from https://numbermatics.com/n/137215053031680/
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The information we have on file for 137215053031680 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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