47828741181312
47,828,741,181,312 is an even composite number composed of eight prime numbers multiplied together.
47828741181312 is an even composite number. It is composed of eight distinct prime numbers multiplied together. It has a total of two thousand and forty-eight divisors.
Prime factorization of 47828741181312:
27 × 3 × 7 × 133 × 23 × 31 × 37 × 307
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 7 × 13 × 13 × 13 × 23 × 31 × 37 × 307)See below for interesting mathematical facts about the number 47828741181312 from the Numbermatics database.
Names of 47828741181312
- Cardinal: 47828741181312 can be written as Forty-seven trillion, eight hundred twenty-eight billion, seven hundred forty-one million, one hundred eighty-one thousand, three hundred twelve.
Scientific notation
- Scientific notation: 4.7828741181312 × 1013
Factors of 47828741181312
Divisors of 47828741181312
- Number of divisors d(n): 2048
-
Complete list of divisors:
1 2 3 4 6 7 8 12 13 14 16 21 23 24 26 28 31 32 37 39 42 46 48 52 56 62 64 69 74 78 84 91 92 93 96 104 111 112 124 128 138 148 156 161 168 169 182 184 186 192 208 217 222 224 248 259 273 276 296 299 307 312 322 336 338 364 368 372 384 403 416 434 444 448 481 483 496 507 518 546 552 592 598 614 624 644 651 672 676 713 728 736 744 777 806 832 851 868 888 896 897 921 962 966 992 1014 1036 1092 1104 1147 1183 1184 1196 1209 1228 1248 1288 1302 1344 1352 1426 1443 1456 1472 1488 1554 1612 1664 1702 1736 1776 1794 1842 1924 1932 1984 2028 2072 2093 2139 2149 2184 2197 2208 2294 2366 2368 2392 2418 2456 2496 2553 2576 2604 2688 2704 2821 2852 2886 2912 2944 2976 3108 3224 3367 3404 3441 3472 3549 3552 3588 3684 3848 3864 3887 3968 3991 4056 4144 4186 4278 4298 4368 4394 4416 4588 4732 4736 4784 4836 4912 4991 4992 5106 5152 5208 5239 5408 5642 5704 5772 5824 5952 5957 6216 6253 6279 6447 6448 6591 6734 6808 6882 6944 7061 7098 7104 7176 7368 7696 7728 7774 7982 8029 8112 8288 8372 8463 8556 8596 8736 8788 8832 9176 9269 9464 9517 9568 9672 9824 9982 10101 10212 10304 10416 10478 10816 11063 11284 11359 11408 11544 11648 11661 11904 11914 11973 12432 12506 12558 12894 12896 13182 13468 13616 13764 13888 14122 14196 14208 14352 14736 14911 14973 15379 15392 15456 15548 15717 15964 16058 16224 16576 16744 16926 17112 17192 17472 17576 17871 18352 18538 18759 18928 19034 19136 19344 19648 19964 20202 20424 20608 20832 20956 21183 21632 22126 22568 22718 22816 23088 23322 23828 23946 24087 24864 25012 25116 25788 25792 26364 26381 26936 27209 27232 27528 27776 27807 27937 28244 28392 28551 28704 29472 29822 29946 30758 30784 30912 31096 31434 31928 32116 32448 33152 33189 33488 33852 34077 34224 34384 34944 35152 35742 36673 36704 37076 37518 37856 38068 38272 38688 39296 39928 40404 40848 41664 41912 42366 43771 44252 44733 45136 45436 45632 46137 46176 46644 47656 47892 48174 49427 49728 50024 50232 50531 51576 51584 51883 52728 52762 53872 54418 54464 55056 55614 55874 56488 56784 57102 57408 58944 59644 59892 61516 61568 61824 62192 62868 63856 64232 64883 64896 66378 66619 66976 67704 68107 68154 68448 68768 70304 71484 73346 73408 74152 75036 75712 76136 77376 77441 79143 79513 79856 80808 81289 81627 81696 83328 83811 83824 84732 87542 88504 89466 90272 90872 91264 91793 92274 92352 93288 95312 95784 96348 98854 99456 100048 100464 101062 103152 103766 104377 105456 105524 107744 108836 108928 110019 110112 111228 111748 112976 113568 114204 114816 117888 119288 119784 120497 123032 123721 124384 125736 127712 128464 129766 131313 132756 133238 133952 135408 136214 136308 136896 137536 140608 142968 143819 146692 146816 147667 148281 148304 150072 151424 151593 152272 154752 154882 155649 158286 159026 159712 161616 162578 163254 163392 167622 167648 169464 175084 177008 178932 180544 181744 183586 184548 184667 184704 186576 190624 191568 192696 193843 194649 197708 199857 200096 200928 202124 204321 206304 207532 208754 210912 211048 215488 217672 218891 220038 220224 222456 223496 225952 227136 228408 232323 238539 238576 239568 240994 243867 246064 247442 248768 251472 255424 256928 259532 261257 262626 265512 266476 267904 270816 272428 272616 273792 275072 275379 281216 285936 287638 293384 295334 296562 296608 300144 303186 304544 309764 311298 313131 316572 318052 319424 323232 325156 326508 326784 335244 335296 338928 342953 350168 352129 353717 354016 357864 361088 361491 363181 363488 367172 369096 369334 371163 373152 381248 383136 385392 387686 389298 395416 399714 400192 401856 404248 408642 412608 415064 417508 421824 422096 430976 431457 435344 437782 440076 440448 443001 444912 446992 451904 454272 456816 464646 476749 477078 477152 479136 481988 487734 492128 494884 497536 502944 510848 513856 519064 522514 525252 531024 532952 541632 544856 545232 550758 554001 569023 571872 575276 581529 586768 590668 593124 593216 600288 606372 609088 619528 622596 626262 633144 636104 638848 642551 646464 650312 653016 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13899663232 14050746528 14205150336 14835217488 15388912864 16071485612 16246175673 16424705076 16572675392 16770245856 16954534272 17688143928 17793430499 18367412128 18567057912 18734328704 19162155922 19474243152 19780289984 19995293136 20197948134 20215021632 20849494848 21661567564 21770023296 21899606768 22256277888 22360327808 22851763584 23083369296 23584191904 24107228418 24756077216 24859013088 25965657536 26660390848 26930597512 27551118192 28101493056 28743233883 29670434976 30777825728 32142971224 32492351346 32849410152 33145350784 33540491712 35376287856 35586860998 36734824256 37134115824 38324311844 38948486304 39560579968 39990586272 40395896268 40430043264 41698989696 43323135128 43799213536 46166738592 47168383808 48214456836 49512154432 49718026176 51931315072 53320781696 53380291497 53861195024 55102236384 56202986112 57486467766 59340869952 61555651456 64285942448 64984702692 65698820304 67080983424 70752575712 71173721996 73469648512 74268231648 76648623688 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3985728431776 5978592647664 6832677311616 7971456863552 11957185295328 15942913727104 23914370590656 47828741181312
- Sum of all divisors σ(n): 174567201177600
- Sum of proper divisors (its aliquot sum) s(n): 126738459996288
- 47828741181312 is an abundant number, because the sum of its proper divisors (126738459996288) is greater than itself. Its abundance is 78909718814976
Bases of 47828741181312
- Binary: 10101101111111111111110010000011001111100000002
- Hexadecimal: 0x2B7FFF20CF80
- Base-36: GYC7XLITC
Squares and roots of 47828741181312
- 47828741181312 squared (478287411813122) is 2287588482988930409258041344
- 47828741181312 cubed (478287411813123) is 109412477482227701439115811972861896163328
-
The
square root of 47828741181312 is 6915832.6455541129 -
The
cube root of 47828741181312 is 36299.1384165909
Scales and comparisons
How big is 47828741181312?- 47,828,741,181,312 seconds is equal to 1,520,806 years, 1 week, 2 days, 7 hours, 15 minutes, 12 seconds.
-
To count from 1 to 47,828,741,181,312 would take you about three million, eight hundred two thousand and fifteen 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 47828741181312 cubic inches would be around 3024.9 feet tall.
Recreational maths with 47828741181312
- 47828741181312 backwards is 21318114782874
- The number of decimal digits it has is: 14
- The sum of 47828741181312's digits is 57
- More coming soon!
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Cite this page
MLA style:
"Number 47828741181312 - Facts about the integer". Numbermatics.com. 2024. Web. 14 May 2024.
APA style:
Numbermatics. (2024). Number 47828741181312 - Facts about the integer. Retrieved 14 May 2024, from https://numbermatics.com/n/47828741181312/
Chicago style:
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The information we have on file for 47828741181312 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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