38128955341314816
38,128,955,341,314,816 is an even composite number composed of five prime numbers multiplied together.
What does the number 38128955341314816 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 1620 divisors.
38128955341314816 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one thousand, six hundred twenty divisors.
Prime factorization of 38128955341314816:
28 × 34 × 112 × 312 × 2513
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 11 × 11 × 31 × 31 × 251 × 251 × 251)See below for interesting mathematical facts about the number 38128955341314816 from the Numbermatics database.
Names of 38128955341314816
- Cardinal: 38128955341314816 can be written as Thirty-eight quadrillion, one hundred twenty-eight trillion, nine hundred fifty-five billion, three hundred forty-one million, three hundred fourteen thousand, eight hundred sixteen.
Scientific notation
- Scientific notation: 3.8128955341314816 × 1016
Factors of 38128955341314816
Divisors of 38128955341314816
- Number of divisors d(n): 1620
-
Complete list of divisors:
1 2 3 4 6 8 9 11 12 16 18 22 24 27 31 32 33 36 44 48 54 62 64 66 72 81 88 93 96 99 108 121 124 128 132 144 162 176 186 192 198 216 242 248 251 256 264 279 288 297 324 341 352 363 372 384 396 432 484 496 502 528 558 576 594 648 682 704 726 744 753 768 792 837 864 891 961 968 992 1004 1023 1056 1089 1116 1152 1188 1296 1364 1408 1452 1488 1506 1584 1674 1728 1782 1922 1936 1984 2008 2046 2112 2178 2232 2259 2304 2376 2511 2592 2728 2761 2816 2883 2904 2976 3012 3069 3168 3267 3348 3456 3564 3751 3844 3872 3968 4016 4092 4224 4356 4464 4518 4752 5022 5184 5456 5522 5766 5808 5952 6024 6138 6336 6534 6696 6777 6912 7128 7502 7688 7744 7781 7936 8032 8184 8283 8448 8649 8712 8928 9036 9207 9504 9801 10044 10368 10571 10912 11044 11253 11532 11616 11904 12048 12276 12672 13068 13392 13554 14256 15004 15376 15488 15562 16064 16368 16566 17298 17424 17856 18072 18414 19008 19602 20088 20331 20736 21142 21824 22088 22506 23064 23232 23343 23808 24096 24552 24849 25344 25947 26136 26784 27108 27621 28512 30008 30371 30752 30976 31124 31713 32128 32736 33132 33759 34596 34848 35712 36144 36828 38016 39204 40176 40662 42284 43648 44176 45012 46128 46464 46686 48192 49104 49698 51894 52272 53568 54216 55242 57024 60016 60742 61504 62248 63001 63426 64256 65472 66264 67518 69192 69696 70029 71424 72288 73656 74547 76032 77841 78408 80352 81324 84568 85591 87296 88352 90024 91113 92256 92928 93372 95139 96384 98208 99396 101277 103788 104544 107136 108432 110484 114048 116281 120032 121484 123008 124496 126002 126852 130944 132528 135036 138384 139392 140058 144576 147312 149094 155682 156816 160704 162648 169136 171182 176704 180048 182226 184512 186744 189003 190278 192768 196416 198792 202554 207576 209088 210087 214272 216864 220968 223641 228096 232562 240064 241211 242968 246016 248992 252004 253704 256773 261888 265056 270072 273339 276768 278784 280116 285417 289152 294624 298188 303831 311364 313632 321408 325296 338272 342364 348843 353408 360096 364452 369024 373488 378006 380556 392832 397584 405108 415152 418176 420174 433728 441936 447282 465124 480128 482422 485936 497984 504008 507408 513546 530112 540144 546678 553536 560232 567009 570834 578304 589248 596376 607662 622728 627264 630261 642816 650592 676544 684728 693011 697686 706816 720192 723633 728904 738048 746976 756012 761112 770319 785664 795168 810216 820017 830304 836352 840348 856251 867456 883872 894564 930248 941501 960256 964844 971872 995968 1008016 1014816 1027092 1046529 1060224 1080288 1093356 1107072 1120464 1134018 1141668 1178496 1192752 1215324 1245456 1254528 1260522 1301184 1353088 1369456 1386022 1395372 1440384 1447266 1457808 1493952 1512024 1522224 1540638 1590336 1620432 1640034 1660608 1680696 1701027 1712502 1734912 1767744 1789128 1860496 1883002 1929688 1943744 1953031 1991936 2016032 2029632 2054184 2079033 2093058 2120448 2160576 2170899 2186712 2214144 2240928 2268036 2283336 2310957 2356992 2385504 2430648 2460051 2490912 2509056 2521044 2602368 2653321 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2070650338944 2109835952928 2135358162036 2188300926384 2204240683392 2301639221376 2329481631312 2373565447044 2450132074368 2461838542182 2479770768816 2541252688704 2674590021136 2813114603904 2847144216048 2917734568512 3008913773778 3105975508416 3164753929392 3203037243054 3282451389576 3306361025088 3388336918272 3452458832064 3494222446968 3606939300096 3677561279062 3796192288064 3890312758016 4011885031704 4141300677888 4219671905856 4270716324072 4376601852768 4408481366784 4513370660667 4603278442752 4658963262624 4747130894088 4804555864581 4900264148736 4923677084364 4959541537632 5082505377408 5349180042272 5516341918593 5626229207808 5694288432096 5835469137024 6017827547556 6211951016832 6329507858784 6406074486108 6564902779152 6612722050176 6904917664128 6988444893936 7355122558124 7592384576128 8023770063408 8439343811712 8541432648144 8753203705536 9026741321334 9317926525248 9494261788176 9609111729162 9847354168728 9919083075264 10165010754816 10698360084544 11032683837186 11388576864192 11670938274048 12035655095112 12423902033664 12659015717568 12812148972216 13129805558304 13225444100352 13540111982001 13809835328256 13976889787872 14710245116248 15184769152256 16047540126816 16549025755779 16878687623424 17082865296288 17506407411072 18053482642668 18635853050496 18988523576352 19218223458324 19694708337456 19838166150528 21396720169088 22065367674372 22777153728384 24071310190224 25318031435136 25624297944432 26259611116608 27080223964002 27953779575744 29420490232496 32095080253632 33098051511558 34165730592576 35012814822144 36106965285336 37271706100992 37977047152704 38436446916648 39389416674912 39676332301056 42793440338176 44130735348744 45554307456768 48142620380448 49647077267337 50636062870272 51248595888864 52519222233216 54160447928004 55907559151488 58840980464992 64190160507264 66196103023116 68331461185152 72213930570672 75954094305408 76872893833296 78778833349824 88261470697488 96285240760896 99294154534674 102497191777728 105038444466432 108320895856008 111815118302976 117681960929984 128380321014528 132392206046232 136662922370304 144427861141344 148941231802011 151908188610816 153745787666592 157557666699648 176522941394976 192570481521792 198588309069348 204994383555456 216641791712016 235363921859968 264784412092464 288855722282688 297882463604022 307491575333184 315115333399296 353045882789952 385140963043584 397176618138696 409988767110912 433283583424032 470727843719936 529568824184928 577711444565376 595764927208044 614983150666368 706091765579904 794353236277392 866567166848064 1059137648369856 1155422889130752 1191529854416088 1229966301332736 1412183531159808 1588706472554784 1733134333696128 2118275296739712 2383059708832176 3177412945109568 3466268667392256 4236550593479424 4766119417664352 6354825890219136 9532238835328704 12709651780438272 19064477670657408 38128955341314816
- Sum of all divisors σ(n): 129646870232966856
- Sum of proper divisors (its aliquot sum) s(n): 91517914891652040
- 38128955341314816 is an abundant number, because the sum of its proper divisors (91517914891652040) is greater than itself. Its abundance is 53388959550337224
Bases of 38128955341314816
- Binary: 100001110111011000010101001101101100011010011011000000002
- Hexadecimal: 0x87761536C69B00
- Base-36: AFFL49PRK00
Squares and roots of 38128955341314816
- 38128955341314816 squared (381289553413148162) is 1453817235419979636690363621113856
- 38128955341314816 cubed (381289553413148163) is 55432532443762171873282255863805573614049475690496
-
The
square root of 38128955341314816 is 195266370.2261984897 -
The
cube root of 38128955341314816 is 336577.4136521619
Scales and comparisons
How big is 38128955341314816?- 38,128,955,341,314,816 seconds is equal to 1,212,382,839 years, 13 weeks, 10 hours, 33 minutes, 36 seconds.
-
To count from 1 to 38,128,955,341,314,816 would take you about three billion, six hundred thirty-seven million, one hundred forty-eight thousand, five hundred seventeen 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 38128955341314816 cubic inches would be around 28048.1 feet tall.
Recreational maths with 38128955341314816
- 38128955341314816 backwards is 61841314355982183
- 38128955341314816 is a
Harshad number . - The number of decimal digits it has is: 17
- The sum of 38128955341314816's digits is 72
- More coming soon!
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MLA style:
"Number 38128955341314816 - Facts about the integer". Numbermatics.com. 2024. Web. 4 June 2024.
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Numbermatics. (2024). Number 38128955341314816 - Facts about the integer. Retrieved 4 June 2024, from https://numbermatics.com/n/38128955341314816/
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The information we have on file for 38128955341314816 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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