137916144156672
137,916,144,156,672 is an even composite number composed of five prime numbers multiplied together.
What does the number 137916144156672 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 960 divisors.
137916144156672 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of nine hundred sixty divisors.
Prime factorization of 137916144156672:
219 × 33 × 7 × 109 × 1132
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 7 × 109 × 113 × 113)See below for interesting mathematical facts about the number 137916144156672 from the Numbermatics database.
Names of 137916144156672
- Cardinal: 137916144156672 can be written as One hundred thirty-seven trillion, nine hundred sixteen billion, one hundred forty-four million, one hundred fifty-six thousand, six hundred seventy-two.
Scientific notation
- Scientific notation: 1.37916144156672 × 1014
Factors of 137916144156672
Divisors of 137916144156672
- Number of divisors d(n): 960
-
Complete list of divisors:
1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 32 36 42 48 54 56 63 64 72 84 96 108 109 112 113 126 128 144 168 189 192 216 218 224 226 252 256 288 327 336 339 378 384 432 436 448 452 504 512 576 654 672 678 756 763 768 791 864 872 896 904 981 1008 1017 1024 1152 1308 1344 1356 1512 1526 1536 1582 1728 1744 1792 1808 1962 2016 2034 2048 2289 2304 2373 2616 2688 2712 2943 3024 3051 3052 3072 3164 3456 3488 3584 3616 3924 4032 4068 4096 4578 4608 4746 5232 5376 5424 5886 6048 6102 6104 6144 6328 6867 6912 6976 7119 7168 7232 7848 8064 8136 8192 9156 9216 9492 10464 10752 10848 11772 12096 12204 12208 12288 12317 12656 12769 13734 13824 13952 14238 14336 14464 15696 16128 16272 16384 18312 18432 18984 20601 20928 21357 21504 21696 23544 24192 24408 24416 24576 24634 25312 25538 27468 27648 27904 28476 28672 28928 31392 32256 32544 32768 36624 36864 36951 37968 38307 41202 41856 42714 43008 43392 47088 48384 48816 48832 49152 49268 50624 51076 54936 55296 55808 56952 57344 57856 62784 64512 65088 65536 73248 73728 73902 75936 76614 82404 83712 85428 86016 86219 86784 89383 94176 96768 97632 97664 98304 98536 101248 102152 109872 110592 110853 111616 113904 114688 114921 115712 125568 129024 130176 131072 146496 147456 147804 151872 153228 164808 167424 170856 172032 172438 173568 178766 188352 193536 195264 195328 196608 197072 202496 204304 219744 221184 221706 223232 227808 229376 229842 231424 251136 258048 258657 260352 262144 268149 292992 294912 295608 303744 306456 329616 332559 334848 341712 344064 344763 344876 347136 357532 376704 387072 390528 390656 393216 394144 404992 408608 439488 442368 443412 446464 455616 458752 459684 462848 502272 516096 517314 520704 524288 536298 585984 589824 591216 607488 612912 659232 665118 669696 683424 688128 689526 689752 694272 715064 753408 774144 775971 781056 781312 786432 788288 804447 809984 817216 878976 884736 886824 892928 911232 917504 919368 925696 1004544 1032192 1034628 1041408 1072596 1171968 1179648 1182432 1214976 1225824 1318464 1330236 1339392 1366848 1376256 1379052 1379504 1388544 1391821 1430128 1506816 1548288 1551942 1562112 1562624 1572864 1576576 1608894 1619968 1634432 1757952 1769472 1773648 1785856 1822464 1835008 1838736 1851392 2009088 2064384 2069256 2082816 2145192 2327913 2343936 2359296 2364864 2413341 2429952 2451648 2636928 2660472 2678784 2733696 2752512 2758104 2759008 2777088 2783642 2860256 3013632 3096576 3103884 3124224 3125248 3153152 3217788 3239936 3268864 3515904 3538944 3547296 3571712 3644928 3670016 3677472 3702784 4018176 4128768 4138512 4165632 4175463 4290384 4655826 4687872 4718592 4729728 4826682 4859904 4903296 5273856 5320944 5357568 5467392 5505024 5516208 5518016 5554176 5567284 5720512 6027264 6193152 6207768 6248448 6250496 6306304 6435576 6479872 6537728 7031808 7077888 7094592 7143424 7289856 7354944 7405568 8036352 8257536 8277024 8331264 8350926 8580768 9311652 9375744 9459456 9653364 9719808 9742747 9806592 10547712 10641888 10715136 10934784 11010048 11032416 11036032 11108352 11134568 11441024 12054528 12386304 12415536 12496896 12500992 12526389 12612608 12871152 12959744 13075456 14063616 14155776 14189184 14286848 14579712 14709888 14811136 16072704 16515072 16554048 16662528 16701852 17161536 18623304 18751488 18918912 19306728 19439616 19485494 19613184 21095424 21283776 21430272 21869568 22064832 22072064 22216704 22269136 22882048 24109056 24772608 24831072 24993792 25001984 25052778 25225216 25742304 25919488 26150912 28127232 28378368 28573696 29159424 29228241 29419776 29622272 32145408 33030144 33108096 33325056 33403704 34323072 37246608 37502976 37579167 37837824 38613456 38879232 38970988 39226368 42190848 42567552 42860544 43739136 44129664 44144128 44433408 44538272 45764096 48218112 49545216 49662144 49987584 50003968 50105556 50450432 51484608 51838976 52301824 56254464 56756736 57147392 58318848 58456482 58839552 59244544 64290816 66216192 66650112 66807408 68646144 74493216 75005952 75158334 75675648 77226912 77758464 77941976 78452736 84381696 85135104 85721088 87478272 87684723 88259328 88288256 88866816 89076544 91528192 96436224 99090432 99324288 99975168 100007936 100211112 100900864 102969216 103677952 104603648 112508928 113513472 116637696 116912964 117679104 128581632 132432384 133300224 133614816 137292288 148986432 150011904 150316668 151351296 154453824 155516928 155883952 156905472 168763392 170270208 171442176 174956544 175369446 176518656 176576512 177733632 178153088 183056384 192872448 198648576 199950336 200015872 200422224 201801728 205938432 207355904 209207296 225017856 227026944 233275392 233825928 235358208 257163264 263054169 264864768 266600448 267229632 274584576 297972864 300023808 300633336 302702592 308907648 311033856 311767904 313810944 337526784 340540416 349913088 350738892 353037312 353153024 356306176 366112768 385744896 397297152 399900672 400031744 400844448 403603456 411876864 414711808 418414592 450035712 454053888 466550784 467651856 470716416 514326528 526108338 529729536 533200896 534459264 549169152 595945728 600047616 601266672 605405184 617815296 622067712 623535808 627621888 675053568 681080832 699826176 701477784 706074624 706306048 712612352 732225536 771489792 794594304 799801344 801688896 807206912 823753728 836829184 900071424 908107776 933101568 935303712 941432832 1052216676 1059459072 1068918528 1098338304 1191891456 1200095232 1202533344 1210810368 1235630592 1244135424 1247071616 1255243776 1350107136 1362161664 1399652352 1402955568 1412149248 1412612096 1425224704 1464451072 1542979584 1589188608 1599602688 1603377792 1614413824 1647507456 1673658368 1800142848 1816215552 1866203136 1870607424 1882865664 2104433352 2118918144 2137837056 2196676608 2383782912 2405066688 2421620736 2471261184 2494143232 2510487552 2700214272 2724323328 2799304704 2805911136 2824298496 2825224192 2850449408 2928902144 3178377216 3206755584 3228827648 3295014912 3347316736 3600285696 3632431104 3732406272 3741214848 3765731328 4208866704 4237836288 4275674112 4393353216 4767565824 4810133376 4843241472 4942522368 4988286464 5020975104 5400428544 5448646656 5598609408 5611822272 5648596992 5650448384 5700898816 5857804288 6356754432 6413511168 6457655296 6590029824 6694633472 7264862208 7482429696 7531462656 8417733408 8475672576 8551348224 8786706432 9535131648 9620266752 9686482944 9885044736 9976572928 10041950208 10800857088 10897293312 11197218816 11223644544 11297193984 11300896768 11401797632 11715608576 12713508864 12827022336 13180059648 14529724416 14964859392 15062925312 16835466816 16951345152 17102696448 17573412864 19070263296 19240533504 19372965888 19770089472 19953145856 20083900416 21794586624 22447289088 22594387968 22601793536 22803595264 23431217152 25427017728 25654044672 26360119296 29059448832 29929718784 30125850624 33670933632 33902690304 34205392896 35146825728 38140526592 38481067008 39540178944 39906291712 43589173248 44894578176 45188775936 45203587072 45607190528 46862434304 50854035456 51308089344 52720238592 58118897664 59859437568 60251701248 67341867264 67805380608 68410785792 70293651456 76281053184 76962134016 79080357888 79812583424 87178346496 89789156352 90377551872 91214381056 101708070912 102616178688 105440477184 119718875136 134683734528 135610761216 136821571584 140587302912 152562106368 153924268032 158160715776 159625166848 174356692992 179578312704 180755103744 182428762112 203416141824 205232357376 210880954368 239437750272 269367469056 273643143168 305124212736 307848536064 316321431552 319250333696 359156625408 364857524224 406832283648 410464714752 421761908736 478875500544 538734938112 547286286336 610248425472 615697072128 632642863104 638500667392 718313250816 729715048448 820929429504 957751001088 1077469876224 1094572572672 1220496850944 1231394144256 1265285726208 1277001334784 1436626501632 1641858859008 1915502002176 2154939752448 2189145145344 2462788288512 2554002669568 2873253003264 3283717718016 3831004004352 4309879504896 4925576577024 5108005339136 5746506006528 6567435436032 7662008008704 8619759009792 9851153154048 11493012013056 15324016017408 17239518019584 19702306308096 22986024026112 34479036039168 45972048052224 68958072078336 137916144156672
- Sum of all divisors σ(n): 475509468720000
- Sum of proper divisors (its aliquot sum) s(n): 337593324563328
- 137916144156672 is an abundant number, because the sum of its proper divisors (337593324563328) is greater than itself. Its abundance is 199677180406656
Bases of 137916144156672
- Binary: 111110101101111000110101100100000000000000000002
- Hexadecimal: 0x7D6F1AC80000
- Base-36: 1CVXSVCAO0
Squares and roots of 137916144156672
- 137916144156672 squared (1379161441566722) is 19020862819043932250082115584
- 137916144156672 cubed (1379161441566723) is 2623284058535545522113820018192453308776448
-
The
square root of 137916144156672 is 11743770.4403940049 -
The
cube root of 137916144156672 is 51666.0233113561
Scales and comparisons
How big is 137916144156672?- 137,916,144,156,672 seconds is equal to 4,385,306 years, 40 weeks, 4 days, 11 hours, 31 minutes, 12 seconds.
-
To count from 1 to 137,916,144,156,672 would take you about ten million, nine hundred sixty-three thousand, two hundred sixty-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 137916144156672 cubic inches would be around 4305.5 feet tall.
Recreational maths with 137916144156672
- 137916144156672 backwards is 276651441619731
- 137916144156672 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 137916144156672's digits is 63
- More coming soon!
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The information we have on file for 137916144156672 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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