137920238190592
137,920,238,190,592 is an even composite number composed of five prime numbers multiplied together.
What does the number 137920238190592 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 864 divisors.
137920238190592 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of eight hundred sixty-four divisors.
Prime factorization of 137920238190592:
217 × 11 × 132 × 19 × 313
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 11 × 13 × 13 × 19 × 31 × 31 × 31)See below for interesting mathematical facts about the number 137920238190592 from the Numbermatics database.
Names of 137920238190592
- Cardinal: 137920238190592 can be written as One hundred thirty-seven trillion, nine hundred twenty billion, two hundred thirty-eight million, one hundred ninety thousand, five hundred ninety-two.
Scientific notation
- Scientific notation: 1.37920238190592 × 1014
Factors of 137920238190592
Divisors of 137920238190592
- Number of divisors d(n): 864
-
Complete list of divisors:
1 2 4 8 11 13 16 19 22 26 31 32 38 44 52 62 64 76 88 104 124 128 143 152 169 176 208 209 247 248 256 286 304 338 341 352 403 416 418 494 496 512 572 589 608 676 682 704 806 832 836 961 988 992 1024 1144 1178 1216 1352 1364 1408 1612 1664 1672 1859 1922 1976 1984 2048 2288 2356 2432 2704 2717 2728 2816 3211 3224 3328 3344 3718 3844 3952 3968 4096 4433 4576 4712 4864 5239 5408 5434 5456 5632 6422 6448 6479 6656 6688 7436 7657 7688 7904 7936 8192 8866 9152 9424 9728 10478 10571 10816 10868 10912 11264 12493 12844 12896 12958 13312 13376 14872 15314 15376 15808 15872 16384 17732 18259 18304 18848 19456 20956 21142 21632 21736 21824 22528 24986 25688 25792 25916 26624 26752 29744 29791 30628 30752 31616 31744 32768 35321 35464 36518 36608 37696 38912 41912 42284 43264 43472 43648 45056 49972 51376 51584 51832 53248 53504 57629 59488 59582 61256 61504 63232 63488 65536 70642 70928 73036 73216 75392 77824 83824 84227 84568 86528 86944 87296 90112 99541 99944 102752 103168 103664 106496 107008 115258 118976 119164 122512 123008 126464 126976 131072 137423 141284 141856 146072 146432 150784 155648 162409 167648 168454 169136 173056 173888 174592 180224 199082 199888 200849 205504 206336 207328 212992 214016 230516 237367 237952 238328 245024 246016 252928 253952 274846 282568 283712 292144 292864 301568 311296 324818 327701 335296 336908 338272 346112 347776 349184 360448 387283 398164 399776 401698 411008 412672 414656 425984 428032 461032 474734 475904 476656 490048 492032 505856 507904 549692 565136 566029 567424 584288 585728 603136 622592 649636 655402 670592 673816 676544 692224 695552 698368 720896 774566 796328 799552 803396 822016 825344 829312 851968 856064 922064 949468 951808 953312 980096 984064 1011712 1015808 1094951 1099384 1130272 1132058 1134848 1168576 1171456 1206272 1245184 1299272 1310804 1341184 1347632 1353088 1384448 1391104 1396736 1441792 1549132 1592656 1599104 1606792 1644032 1650688 1658624 1703936 1712128 1786499 1844128 1898936 1903616 1906624 1960192 1968128 2023424 2031616 2189902 2198768 2260544 2264116 2269696 2337152 2342912 2412544 2490368 2598544 2611037 2621608 2682368 2695264 2706176 2768896 2782208 2793472 3085771 3098264 3185312 3198208 3213584 3288064 3301376 3317248 3424256 3572998 3688256 3797872 3807232 3813248 3920384 3936256 4046848 4063232 4260113 4379804 4397536 4521088 4528232 4539392 4674304 4685824 4825088 5034679 5197088 5222074 5243216 5364736 5390528 5412352 5537792 5564416 5586944 6171542 6196528 6226319 6370624 6396416 6427168 6576128 6602752 6634496 6848512 7145996 7358377 7376512 7595744 7614464 7626496 7840768 7872512 8093696 8520226 8759608 8795072 9042176 9056464 9078784 9348608 9371648 9650176 10069358 10394176 10444148 10486432 10729472 10781056 10824704 11075584 11128832 11173888 12343084 12393056 12452638 12741248 12792832 12854336 13152256 13205504 13268992 13697024 14291992 14716754 14753024 15191488 15228928 15252992 15681536 15745024 16187392 17040452 17519216 17590144 18084352 18112928 18157568 18697216 18743296 19300352 20138716 20788352 20888296 20972864 21458944 21562112 21649408 22151168 22257664 22347776 24686168 24786112 24905276 25482496 25585664 25708672 26304512 26411008 26537984 27394048 28583984 29433508 29506048 30382976 30457856 30505984 31363072 31490048 32374784 33943481 34080904 35038432 35180288 36168704 36225856 36315136 37394432 38600704 40277432 41576704 41776592 41945728 42917888 43124224 43298816 44515328 44695552 49372336 49572224 49810552 50964992 51171328 51417344 52609024 52822016 53075968 55381469 57167968 58867016 59012096 60765952 60915712 61011968 62726144 62980096 67886962 68161808 70076864 70360576 72337408 72451712 72630272 74788864 77201408 80554864 80942147 83153408 83553184 83891456 85835776 86248448 86597632 89030656 95658901 98744672 99144448 99621104 101929984 102342656 102834688 105218048 106151936 110762938 114335936 117734032 118024192 121531904 121831424 122023936 125452288 125960192 135773924 136323616 140153728 140721152 144674816 144903424 145260544 149577728 161109728 161884294 166306816 167106368 167782912 171671552 172496896 173195264 178061312 191317802 197489344 198288896 199242208 203859968 204685312 205669376 210436096 212303872 221525876 228671872 235468064 236048384 243063808 243662848 244047872 250904576 271547848 272647232 280307456 281442304 289349632 289806848 290521088 299155456 322219456 323768588 332613632 334212736 335565824 343343104 344993792 346390528 356122624 382635604 394978688 396577792 398484416 407719936 409370624 411338752 420872192 424607744 443051752 457343744 470936128 472096768 486127616 488095744 501809152 543095696 545294464 560614912 562884608 578699264 579613696 581042176 598310912 644438912 647537176 665227264 668425472 671131648 686686208 689987584 692781056 765271208 789957376 793155584 796968832 815439872 818741248 822677504 849215488 886103504 914687488 941872256 944193536 972255232 976191488 1003618304 1052247911 1086191392 1090588928 1121229824 1125769216 1157398528 1159227392 1196621824 1288877824 1295074352 1330454528 1336850944 1342263296 1379975168 1385562112 1530542416 1579914752 1586311168 1593937664 1630879744 1637482496 1645355008 1772207008 1829374976 1883744512 1888387072 1944510464 1952382976 2104495822 2172382784 2181177856 2242459648 2251538432 2314797056 2318454784 2393243648 2577755648 2590148704 2660909056 2673701888 2684526592 2759950336 3061084832 3159829504 3172622336 3187875328 3261759488 3290710016 3544414016 3658749952 3767489024 3776774144 3889020928 3904765952 4208991644 4344765568 4362355712 4484919296 4503076864 4629594112 4636909568 5155511296 5180297408 5321818112 5347403776 5369053184 5519900672 6122169664 6319659008 6345244672 6375750656 6523518976 6581420032 7088828032 7317499904 7534978048 7553548288 7778041856 8417983288 8689531136 8724711424 8969838592 9006153728 9273819136 10311022592 10360594816 10643636224 10694807552 10738106368 11039801344 12244339328 12639318016 12690489344 12751501312 13047037952 13162840064 14177656064 14634999808 15069956096 15556083712 16835966576 17379062272 17449422848 17939677184 18012307456 18547638272 20622045184 20721189632 21287272448 21389615104 21476212736 24488678656 25278636032 25380978688 25503002624 26325680128 28355312128 29269999616 30139912192 31112167424 33671933152 34758124544 34898845696 35879354368 37095276544 41244090368 41442379264 42779230208 42952425472 48977357312 50557272064 50761957376 51006005248 56710624256 58539999232 60279824384 67343866304 69516249088 69797691392 71758708736 74190553088 82488180736 82884758528 85558460416 97954714624 101114544128 102012010496 113421248512 117079998464 120559648768 134687732608 139032498176 139595382784 143517417472 164976361472 165769517056 171116920832 195909429248 202229088256 204024020992 226842497024 234159996928 241119297536 269375465216 278064996352 279190765568 329952722944 331539034112 342233841664 391818858496 404458176512 408048041984 453684994048 482238595072 538750930432 556129992704 558381531136 659905445888 663078068224 783637716992 816096083968 907369988096 964477190144 1077501860864 1112259985408 1326156136448 1567275433984 1814739976192 2155003721728 2224519970816 2652312272896 3134550867968 3629479952384 4310007443456 4449039941632 5304624545792 6269101735936 7258959904768 8620014886912 10609249091584 12538203471872 17240029773824 34480059547648 68960119095296 137920238190592
- Sum of all divisors σ(n): 354426060119040
- Sum of proper divisors (its aliquot sum) s(n): 216505821928448
- 137920238190592 is an abundant number, because the sum of its proper divisors (216505821928448) is greater than itself. Its abundance is 78585583737856
Bases of 137920238190592
- Binary: 111110101110000000011101100111000000000000000002
- Hexadecimal: 0x7D700ECE0000
- Base-36: 1CVZOKTNGG
Squares and roots of 137920238190592
- 137920238190592 squared (1379202381905922) is 19021992102549632038117310464
- 137920238190592 cubed (1379202381905923) is 2623517681643205176318704000523624867954688
-
The
square root of 137920238190592 is 11743944.7457228781 -
The
cube root of 137920238190592 is 51666.5345407465
Scales and comparisons
How big is 137920238190592?- 137,920,238,190,592 seconds is equal to 4,385,436 years, 49 weeks, 6 days, 3 hours, 9 minutes, 52 seconds.
-
To count from 1 to 137,920,238,190,592 would take you about ten million, nine hundred sixty-three thousand, five hundred ninety-two 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 137920238190592 cubic inches would be around 4305.5 feet tall.
Recreational maths with 137920238190592
- 137920238190592 backwards is 295091832029731
- The number of decimal digits it has is: 15
- The sum of 137920238190592's digits is 61
- More coming soon!
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The information we have on file for 137920238190592 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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