45842006303705664
45,842,006,303,705,664 is an even composite number composed of five prime numbers multiplied together.
What does the number 45842006303705664 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 2016 divisors.
45842006303705664 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of two thousand and sixteen divisors.
Prime factorization of 45842006303705664:
26 × 33 × 132 × 235 × 293
(2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 13 × 13 × 23 × 23 × 23 × 23 × 23 × 29 × 29 × 29)See below for interesting mathematical facts about the number 45842006303705664 from the Numbermatics database.
Names of 45842006303705664
- Cardinal: 45842006303705664 can be written as Forty-five quadrillion, eight hundred forty-two trillion, six billion, three hundred three million, seven hundred five thousand, six hundred sixty-four.
Scientific notation
- Scientific notation: 4.5842006303705664 × 1016
Factors of 45842006303705664
Divisors of 45842006303705664
- Number of divisors d(n): 2016
-
Complete list of divisors:
1 2 3 4 6 8 9 12 13 16 18 23 24 26 27 29 32 36 39 46 48 52 54 58 64 69 72 78 87 92 96 104 108 116 117 138 144 156 169 174 184 192 207 208 216 232 234 261 276 288 299 312 338 348 351 368 377 414 416 432 464 468 507 522 529 552 576 598 621 624 667 676 696 702 736 754 783 828 832 841 864 897 928 936 1014 1044 1058 1104 1131 1196 1242 1248 1334 1352 1392 1404 1472 1508 1521 1566 1587 1656 1682 1728 1794 1856 1872 2001 2028 2088 2116 2208 2262 2392 2484 2496 2523 2668 2691 2704 2784 2808 3016 3042 3132 3174 3312 3364 3393 3588 3744 3887 4002 4056 4176 4232 4416 4524 4563 4761 4784 4901 4968 5046 5336 5382 5408 5568 5616 6003 6032 6084 6264 6348 6624 6728 6786 6877 7176 7488 7569 7774 8004 8073 8112 8352 8464 8671 9048 9126 9522 9568 9802 9936 10092 10179 10672 10764 10816 10933 11232 11661 12006 12064 12167 12168 12528 12696 13248 13456 13572 13754 14283 14352 14703 15138 15341 15548 16008 16146 16224 16704 16928 17342 18009 18096 18252 19044 19136 19343 19604 19872 20184 20358 20631 21344 21528 21866 22464 22707 23322 24012 24128 24334 24336 24389 25056 25392 26013 26912 27144 27508 28566 28704 29406 30276 30682 31096 32016 32292 32448 32799 33856 34684 34983 36018 36192 36501 36504 38088 38686 39208 39744 40368 40716 41262 42688 43056 43732 44109 45414 46023 46644 48024 48668 48672 48778 50112 50784 52026 53824 54288 55016 57132 57408 58029 58812 60552 61364 61893 62192 64032 64584 65598 69368 69966 72036 72384 73002 73008 73167 76176 77372 78039 78416 80736 81432 82524 86112 87464 88218 89401 90828 92046 93288 96048 97336 97344 97556 98397 101568 104052 104949 108576 109503 110032 112723 114264 116058 117624 121104 122728 123786 124384 128064 129168 131196 132327 138069 138736 139932 142129 144072 146004 146016 146334 152352 154744 156078 156832 158171 161472 162864 165048 172224 174087 174928 176436 178802 181656 184092 185679 186576 192096 194672 195112 196794 199433 208104 209898 217152 219006 219501 220064 225446 228528 232116 234117 235248 242208 245456 247572 248768 251459 258336 262392 264654 268203 276138 277472 279841 279864 284258 288144 292008 292032 292668 295191 304704 309488 312156 313664 316342 317057 325728 328509 330096 338169 348174 349856 352843 352872 357604 363312 368184 371358 373152 384192 389344 390224 393588 398866 414207 416208 419796 426387 438012 439002 440128 444889 450892 457056 464232 468234 470496 474513 484416 490912 495144 502918 516672 522261 524784 529308 536406 552276 554944 559682 559728 560947 568516 576288 584016 585336 590382 598299 618976 624312 632684 634114 651456 657018 658503 660192 676338 696348 699712 705686 705744 715208 726624 736368 742716 746304 754377 778688 780448 787176 797732 804609 828414 832416 839523 839592 852774 876024 878004 889778 901784 914112 928464 936468 940992 949026 951171 981824 990288 1005836 1014507 1044522 1049568 1058529 1058616 1072812 1104552 1119364 1119456 1121894 1137032 1152576 1168032 1170672 1180764 1196598 1237952 1248624 1265368 1268228 1279161 1314036 1317006 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146929507383672 153317746835136 159173632998978 166094225738064 175639870895424 195906009844896 197594854757352 212231510665304 220394261075508 221458967650752 238760449498467 249141338607096 263459806343136 271254475169856 293859014767344 318347265997956 332188451476128 391812019689792 395189709514704 424463021330608 440788522151016 477520898996934 498282677214192 526919612686272 587718029534688 636694531995912 664376902952256 716281348495401 790379419029408 848926042661216 881577044302032 955041797993868 996565354428384 1175436059069376 1273389063991824 1432562696990802 1580758838058816 1697852085322432 1763154088604064 1910083595987736 1993130708856768 2546778127983648 2865125393981604 3526308177208128 3820167191975472 5093556255967296 5730250787963208 7640334383950944 11460501575926416 15280668767901888 22921003151852832 45842006303705664
- Sum of all divisors σ(n): 158012877025785600
- Sum of proper divisors (its aliquot sum) s(n): 112170870722079936
- 45842006303705664 is an abundant number, because the sum of its proper divisors (112170870722079936) is greater than itself. Its abundance is 66328864418374272
Bases of 45842006303705664
- Binary: 101000101101110100001111110101011000011000001010010000002
- Hexadecimal: 0xA2DD0FD5860A40
- Base-36: CJDMUYRP5C0
Squares and roots of 45842006303705664
- 45842006303705664 squared (458420063037056642) is 2101489541948989834881098345680896
- 45842006303705664 cubed (458420063037056643) is 96336496829197120431232131581108042641694051794944
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The
square root of 45842006303705664 is 214107464.3811038735 -
The
cube root of 45842006303705664 is 357894.0999036793
Scales and comparisons
How big is 45842006303705664?- 45,842,006,303,705,664 seconds is equal to 1,457,634,001 years, 42 weeks, 5 days, 6 hours, 14 minutes, 24 seconds.
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To count from 1 to 45,842,006,303,705,664 would take you about four billion, three hundred seventy-two million, nine hundred two thousand and five 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 45842006303705664 cubic inches would be around 29824.5 feet tall.
Recreational maths with 45842006303705664
- 45842006303705664 backwards is 46650730360024854
- The number of decimal digits it has is: 17
- The sum of 45842006303705664's digits is 63
- More coming soon!
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The information we have on file for 45842006303705664 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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