137048008837562368
137,048,008,837,562,368 is an even composite number composed of five prime numbers multiplied together.
What does the number 137048008837562368 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 1134 divisors.
137048008837562368 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one thousand, one hundred thirty-four divisors.
Prime factorization of 137048008837562368:
220 × 7 × 132 × 232 × 4572
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 7 × 13 × 13 × 23 × 23 × 457 × 457)See below for interesting mathematical facts about the number 137048008837562368 from the Numbermatics database.
Names of 137048008837562368
- Cardinal: 137048008837562368 can be written as One hundred thirty-seven quadrillion, forty-eight trillion, eight billion, eight hundred thirty-seven million, five hundred sixty-two thousand, three hundred sixty-eight.
Scientific notation
- Scientific notation: 1.37048008837562368 × 1017
Factors of 137048008837562368
Divisors of 137048008837562368
- Number of divisors d(n): 1134
-
Complete list of divisors:
1 2 4 7 8 13 14 16 23 26 28 32 46 52 56 64 91 92 104 112 128 161 169 182 184 208 224 256 299 322 338 364 368 416 448 457 512 529 598 644 676 728 736 832 896 914 1024 1058 1183 1196 1288 1352 1456 1472 1664 1792 1828 2048 2093 2116 2366 2392 2576 2704 2912 2944 3199 3328 3584 3656 3703 3887 4096 4186 4232 4732 4784 5152 5408 5824 5888 5941 6398 6656 6877 7168 7312 7406 7774 8192 8372 8464 9464 9568 10304 10511 10816 11648 11776 11882 12796 13312 13754 14336 14624 14812 15548 16384 16744 16928 18928 19136 20608 21022 21632 23296 23552 23764 25592 26624 27209 27508 28672 29248 29624 31096 32768 33488 33856 37856 38272 41216 41587 42044 43264 46592 47104 47528 48139 51184 53248 54418 55016 57344 58496 59248 62192 65536 66976 67712 73577 75712 76544 77233 82432 83174 84088 86528 89401 93184 94208 95056 96278 102368 106496 108836 110032 114688 116992 118496 124384 131072 133952 135424 136643 147154 151424 153088 154466 164864 166348 168176 173056 178802 186368 188416 190112 192556 204736 208849 212992 217672 220064 229376 233984 236992 241753 248768 262144 267904 270848 273286 294308 302848 306176 308932 329728 332696 336352 346112 357604 372736 376832 380224 385112 409472 417698 425984 435344 440128 458752 467968 473984 483506 497536 524288 535808 540631 541696 546572 588616 605696 612352 617864 625807 659456 665392 672704 692224 715208 745472 753664 760448 770224 818944 835396 851968 870688 880256 917504 935936 947968 956501 967012 995072 1048576 1071616 1081262 1083392 1093144 1177232 1211392 1224704 1235728 1251614 1318912 1330784 1345408 1384448 1430416 1461943 1490944 1507328 1520896 1540448 1637888 1670792 1692271 1703936 1741376 1760512 1776359 1835008 1871872 1895936 1913002 1934024 1990144 2143232 2162524 2166784 2186288 2354464 2422784 2449408 2471456 2503228 2637824 2661568 2690816 2715037 2768896 2860832 2923886 2981888 3014656 3041792 3080896 3142789 3275776 3341584 3384542 3407872 3482752 3521024 3552718 3670016 3743744 3791872 3826004 3868048 3980288 4286464 4325048 4333568 4372576 4708928 4803527 4845568 4898816 4942912 5006456 5275648 5323136 5381632 5430074 5537792 5721664 5847772 5963776 6029312 6083584 6161792 6285578 6551552 6683168 6769084 6815744 6965504 7042048 7105436 7340032 7487488 7583744 7652008 7736096 7960576 8572928 8650096 8667136 8745152 9417856 9607054 9691136 9797632 9885824 10012912 10551296 10646272 10763264 10860148 11075584 11443328 11695544 11927552 12058624 12167168 12323584 12434513 12571156 13103104 13366336 13538168 13631488 13931008 14084096 14210872 14974976 15167488 15304016 15472192 15921152 17145856 17300192 17334272 17490304 18835712 19005259 19214108 19382272 19595264 19771648 20025824 21102592 21292544 21526528 21720296 21999523 22151168 22886656 23391088 23855104 24117248 24334336 24647168 24869026 25142312 26206208 26732672 27076336 27862016 28168192 28421744 29949952 30334976 30608032 30944384 31842304 33624689 34291712 34600384 34668544 34980608 35295481 37671424 38010518 38428216 38764544 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16191872499712 16369805164544 16729493266304 17629020946432 18504997142528 18742889611264 19119420875776 19928458461184 20590145558528 21420445270016 23068171829248 23275816718336 23531594924032 25341717610496 26600933392384 28647159037952 28961962983424 32383744999424 32739610329088 33458986532608 35258041892864 37009994285056 37485779222528 38238841751552 41180291117056 42840890540032 46551633436672 47063189848064 50683435220992 53201866784768 57294318075904 57923925966848 64767489998848 65479220658176 66917973065216 74971558445056 76477683503104 82360582234112 93103266873344 94126379696128 101366870441984 106403733569536 114588636151808 115847851933696 129534979997696 133835946130432 149943116890112 152955367006208 164721164468224 186206533746688 188252759392256 202733740883968 212807467139072 229177272303616 259069959995392 267671892260864 299886233780224 305910734012416 329442328936448 372413067493376 376505518784512 405467481767936 425614934278144 458354544607232 535343784521728 611821468024832 658884657872896 744826134986752 753011037569024 810934963535872 851229868556288 1070687569043456 1223642936049664 1317769315745792 1489652269973504 1506022075138048 2141375138086912 2447285872099328 2635538631491584 2979304539947008 4282750276173824 4894571744198656 5271077262983168 5958609079894016 8565500552347648 9789143488397312 10542154525966336 17131001104695296 19578286976794624 34262002209390592 68524004418781184 137048008837562368
- Sum of all divisors σ(n): 355369100388352344
- Sum of proper divisors (its aliquot sum) s(n): 218321091550789976
- 137048008837562368 is an abundant number, because the sum of its proper divisors (218321091550789976) is greater than itself. Its abundance is 81273082713227608
Bases of 137048008837562368
- Binary: 1111001101110010001110000000110111111000000000000000000002
- Hexadecimal: 0x1E6E4701BF00000
- Base-36: 11HFGQ3N5LOG
Squares and roots of 137048008837562368
- 137048008837562368 squared (1370480088375623682) is 18782156726340572921836608289767424
- 137048008837562368 cubed (1370480088375623683) is 2574057181020004312377385098479060790757425814700032
-
The
square root of 137048008837562368 is 370199957.9113460245 -
The
cube root of 137048008837562368 is 515573.8835763511
Scales and comparisons
How big is 137048008837562368?- 137,048,008,837,562,368 seconds is equal to 4,357,702,763 years, 36 weeks, 6 days, 7 hours, 19 minutes, 28 seconds.
-
To count from 1 to 137,048,008,837,562,368 would take you about thirteen billion, seventy-three million, one hundred eight thousand, two hundred ninety-one 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 137048008837562368 cubic inches would be around 42964.5 feet tall.
Recreational maths with 137048008837562368
- 137048008837562368 backwards is 863265738800840731
- The number of decimal digits it has is: 18
- The sum of 137048008837562368's digits is 79
- More coming soon!
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"Number 137048008837562368 - Facts about the integer". Numbermatics.com. 2024. Web. 14 June 2024.
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Numbermatics. (2024). Number 137048008837562368 - Facts about the integer. Retrieved 14 June 2024, from https://numbermatics.com/n/137048008837562368/
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Numbermatics. 2024. "Number 137048008837562368 - Facts about the integer". https://numbermatics.com/n/137048008837562368/
The information we have on file for 137048008837562368 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!
Keywords: Divisors of 137048008837562368, math, Factors of 137048008837562368, curriculum, school, college, exams, university, Prime factorization of 137048008837562368, STEM, science, technology, engineering, physics, economics, calculator, one hundred thirty-seven quadrillion, forty-eight trillion, eight billion, eight hundred thirty-seven million, five hundred sixty-two thousand, three hundred sixty-eight.