137813738848256
137,813,738,848,256 is an even composite number composed of five prime numbers multiplied together.
137813738848256 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of six hundred twelve divisors.
Prime factorization of 137813738848256:
216 × 19 × 312 × 41 × 532
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 19 × 31 × 31 × 41 × 53 × 53)See below for interesting mathematical facts about the number 137813738848256 from the Numbermatics database.
Names of 137813738848256
- Cardinal: 137813738848256 can be written as One hundred thirty-seven trillion, eight hundred thirteen billion, seven hundred thirty-eight million, eight hundred forty-eight thousand, two hundred fifty-six.
Scientific notation
- Scientific notation: 1.37813738848256 × 1014
Factors of 137813738848256
Divisors of 137813738848256
- Number of divisors d(n): 612
-
Complete list of divisors:
1 2 4 8 16 19 31 32 38 41 53 62 64 76 82 106 124 128 152 164 212 248 256 304 328 424 496 512 589 608 656 779 848 961 992 1007 1024 1178 1216 1271 1312 1558 1643 1696 1922 1984 2014 2048 2173 2356 2432 2542 2624 2809 3116 3286 3392 3844 3968 4028 4096 4346 4712 4864 5084 5248 5618 6232 6572 6784 7688 7936 8056 8192 8692 9424 9728 10168 10496 11236 12464 13144 13568 15376 15872 16112 16384 17384 18259 18848 19456 20336 20992 22472 24149 24928 26288 27136 30752 31217 31744 32224 32768 34768 36518 37696 38912 39401 40672 41287 41984 44944 48298 49856 50933 52576 53371 54272 61504 62434 63488 64448 65536 67363 69536 73036 75392 77824 78802 81344 82574 83968 87079 89888 96596 99712 101866 105152 106742 108544 115169 123008 124868 126976 128896 134726 139072 146072 150784 155648 157604 162688 165148 167936 174158 179776 193192 199424 203732 210304 213484 217088 230338 246016 249736 253952 257792 269452 278144 292144 301568 311296 315208 325376 330296 335872 348316 359552 386384 398848 407464 420608 426968 434176 460676 492032 499472 507904 515584 538904 556288 584288 603136 622592 630416 650752 660592 671744 696632 719104 748619 772768 797696 814928 841216 853936 868352 921352 967727 984064 998944 1015808 1031168 1077808 1112576 1168576 1206272 1245184 1260832 1279897 1301504 1321184 1343488 1393264 1438208 1497238 1545536 1595392 1629856 1654501 1682432 1707872 1736704 1842704 1935454 1968128 1997888 2031616 2062336 2088253 2155616 2188211 2225152 2337152 2412544 2521664 2559794 2603008 2642368 2686976 2699449 2786528 2876416 2994476 3091072 3190784 3259712 3309002 3364864 3415744 3473408 3570239 3685408 3870908 3936256 3995776 4124672 4176506 4311232 4376422 4450304 4674304 4825088 5043328 5119588 5206016 5284736 5398898 5573056 5752832 5988952 6182144 6381568 6519424 6618004 6729728 6831488 7140478 7370816 7741816 7872512 7991552 8249344 8353012 8622464 8752844 8900608 9348608 9650176 10086656 10239176 10412032 10569472 10797796 11146112 11505664 11977904 12364288 12763136 13038848 13236008 13459456 13662976 14280956 14741632 15483632 15745024 15983104 16498688 16706024 17244928 17505688 17801216 18697216 19300352 20173312 20478352 20824064 21138944 21595592 22292224 23011328 23955808 24728576 25526272 26077696 26472016 26918912 27325952 28561912 29483264 30967264 31490048 31966208 32997376 33412048 34489856 35011376 35602432 37394432 38600704 39676807 40346624 40956704 41648128 42277888 43191184 44584448 46022656 47911616 49457152 51052544 51289531 52155392 52944032 53837824 54651904 57123824 58966528 61934528 62980096 63932416 65994752 66824096 67834541 68979712 70022752 71204864 74788864 79353614 80693248 81913408 83296256 84555776 86382368 89168896 92045312 95823232 98914304 102579062 104310784 105888064 107675648 109303808 110677409 114247648 117933056 123869056 127864832 133648192 135669082 137959424 140045504 142409728 149577728 158707228 161386496 163826816 169111552 172764736 178337792 184090624 191646464 197828608 205158124 208621568 211776128 218607616 221354818 228495296 235866112 247738112 255729664 267296384 271338164 275918848 280091008 299155456 317414456 322772992 327653632 338223104 345529472 356675584 383292928 395657216 410316248 417243136 423552256 437215232 442709636 456990592 471732224 495476224 511459328 534592768 542676328 551837696 560182016 598310912 634828912 645545984 655307264 676446208 691058944 713351168 766585856 791314432 820632496 834486272 847104512 874430464 885419272 913981184 943464448 990952448 1022918656 1069185536 1085352656 1103675392 1120364032 1196621824 1269657824 1291091968 1310614528 1352892416 1382117888 1426702336 1533171712 1582628864 1641264992 1668972544 1694209024 1748860928 1770838544 1827962368 1886928896 1981904896 2045837312 2102870771 2138371072 2170705312 2207350784 2240728064 2539315648 2582183936 2621229056 2705784832 2764235776 2853404672 3066343424 3282529984 3337945088 3388418048 3497721856 3541677088 3655924736 3773857792 3963809792 4205741542 4276742144 4341410624 4414701568 4481456128 5078631296 5242458112 5528471552 5706809344 6132686848 6565059968 6776836096 7083354176 7311849472 7547715584 7927619584 8411483084 8553484288 8682821248 8962912256 10157262592 10484916224 11056943104 12265373696 13130119936 13553672192 14166708352 14623698944 15855239168 16822966168 17106968576 17365642496 17925824512 20314525184 20969832448 22113886208 24530747392 26260239872 27107344384 28333416704 29247397888 31710478336 33645932336 34213937152 34731284992 35851649024 40629050368 41939664896 44227772416 49061494784 52520479744 54214688768 56666833408 58494795776 63420956672 67291864672 68427874304 69462569984 71703298048 81258100736 83879329792 88455544832 105040959488 108429377536 113333666816 116989591552 134583729344 136855748608 138925139968 143406596096 162516201472 176911089664 210081918976 226667333632 233979183104 269167458688 277850279936 325032402944 420163837952 453334667264 538334917376 555700559872 650064805888 840327675904 906669334528 1076669834752 1111401119744 1300129611776 1680655351808 1813338669056 2153339669504 2222802239488 2600259223552 3361310703616 3626677338112 4306679339008 4445604478976 7253354676224 8613358678016 17226717356032 34453434712064 68906869424128 137813738848256
- Sum of all divisors σ(n): 313008762434760
- Sum of proper divisors (its aliquot sum) s(n): 175195023586504
- 137813738848256 is an abundant number, because the sum of its proper divisors (175195023586504) is greater than itself. Its abundance is 37381284738248
Bases of 137813738848256
- Binary: 111110101010111010000101111001100000000000000002
- Hexadecimal: 0x7D5742F30000
- Base-36: 1CUMR9V4ZK
Squares and roots of 137813738848256
- 137813738848256 squared (1378137388482562) is 18992626615335305001394241536
- 137813738848256 cubed (1378137388482563) is 2617444884408255987830100117013695316361216
-
The
square root of 137813738848256 is 11739409.6464965393 -
The
cube root of 137813738848256 is 51653.2324831583
Scales and comparisons
How big is 137813738848256?- 137,813,738,848,256 seconds is equal to 4,382,050 years, 31 weeks, 4 days, 20 hours, 30 minutes, 56 seconds.
-
To count from 1 to 137,813,738,848,256 would take you about ten million, nine hundred fifty-five thousand, one hundred twenty-six 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 137813738848256 cubic inches would be around 4304.4 feet tall.
Recreational maths with 137813738848256
- 137813738848256 backwards is 652848837318731
- The number of decimal digits it has is: 15
- The sum of 137813738848256's digits is 74
- More coming soon!
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