48691456746349248
48,691,456,746,349,248 is an even composite number composed of seven prime numbers multiplied together.
48691456746349248 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of two thousand and sixteen divisors.
Prime factorization of 48691456746349248:
26 × 33 × 13 × 17 × 29 × 612 × 10872
(2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 13 × 17 × 29 × 61 × 61 × 1087 × 1087)See below for interesting mathematical facts about the number 48691456746349248 from the Numbermatics database.
Names of 48691456746349248
- Cardinal: 48691456746349248 can be written as Forty-eight quadrillion, six hundred ninety-one trillion, four hundred fifty-six billion, seven hundred forty-six million, three hundred forty-nine thousand, two hundred forty-eight.
Scientific notation
- Scientific notation: 4.8691456746349248 × 1016
Factors of 48691456746349248
Divisors of 48691456746349248
- Number of divisors d(n): 2016
-
Complete list of divisors:
1 2 3 4 6 8 9 12 13 16 17 18 24 26 27 29 32 34 36 39 48 51 52 54 58 61 64 68 72 78 87 96 102 104 108 116 117 122 136 144 153 156 174 183 192 204 208 216 221 232 234 244 261 272 288 306 312 348 351 366 377 408 416 432 442 459 464 468 488 493 522 544 549 576 612 624 663 696 702 732 754 783 793 816 832 864 884 918 928 936 976 986 1037 1044 1087 1088 1098 1131 1224 1248 1326 1392 1404 1464 1479 1508 1566 1586 1632 1647 1728 1768 1769 1836 1856 1872 1952 1972 1989 2074 2088 2174 2196 2262 2379 2448 2496 2652 2784 2808 2928 2958 3016 3111 3132 3172 3261 3264 3294 3393 3536 3538 3672 3721 3744 3904 3944 3978 4148 4176 4348 4392 4437 4524 4758 4896 5304 5307 5568 5616 5856 5916 5967 6032 6222 6264 6344 6409 6522 6588 6786 7072 7076 7137 7344 7442 7488 7888 7956 8296 8352 8696 8784 8874 9048 9333 9516 9783 9792 10179 10608 10614 11163 11232 11712 11832 11934 12064 12444 12528 12688 12818 13044 13176 13311 13481 13572 14131 14144 14152 14274 14688 14884 15776 15912 15921 16592 16704 17392 17568 17748 18096 18479 18666 19032 19227 19566 20358 21216 21228 21411 22326 22464 22997 23664 23868 24128 24888 25056 25376 25636 26088 26352 26622 26962 27144 27999 28262 28304 28548 29349 29376 29768 30073 31523 31552 31824 31842 33184 33489 34784 35136 35496 36192 36958 37332 38064 38454 39132 40443 40716 42393 42432 42456 42822 44652 45994 47328 47736 47763 48373 49776 50112 50752 51272 52176 52704 53244 53924 54288 55437 55998 56524 56608 57096 57681 58698 59536 60146 63046 63257 63648 63684 66307 66368 66978 68991 69568 70992 72384 73916 74664 76128 76908 78264 80886 81432 84786 84912 85644 89304 90219 91988 94569 94656 95472 95526 96746 99552 100467 102544 104352 105408 106488 107848 107909 108576 110874 111996 113048 113216 114192 115362 117396 119072 120292 121329 126092 126514 127179 127296 127368 132614 133956 137982 141984 145119 147832 149328 152256 153816 156528 161772 162864 166311 169572 169824 171288 173043 178608 180438 183976 189138 189771 190944 191052 193492 198921 199104 200934 205088 206973 208704 212976 215696 215818 217152 221748 223992 226096 228384 230724 234792 238144 240227 240584 242658 252184 253028 254358 254736 265228 267912 270657 275964 283707 283968 290238 295664 298656 307632 313056 323544 323727 325728 332622 339144 339648 342576 346086 357216 360876 363987 367952 378276 379542 381537 381888 382104 386984 390949 397842 401868 409799 410176 413946 425952 431392 431636 435357 443496 447984 452192 456768 461448 469584 480454 481168 485316 498933 504368 506056 508716 509472 530456 535824 535891 541314 551928 567414 569313 580476 591328 596763 597312 615264 620919 626112 647088 647454 651456 665244 678288 685152 692172 714432 720681 721752 727974 735904 756552 759084 763074 764208 773968 781898 795684 803736 811971 819598 822341 827892 851121 851904 861991 862784 863272 870714 886992 895968 904384 922896 939168 960908 962336 970632 971181 997866 1008736 1012112 1017432 1018944 1060912 1071648 1071782 1082628 1103856 1127219 1134828 1138626 1160952 1172847 1181569 1182656 1193526 1229397 1230528 1241838 1294176 1294908 1306071 1330488 1356576 1370304 1384344 1402817 1441362 1443504 1455948 1471808 1513104 1518168 1526148 1528416 1547936 1563796 1591368 1607472 1607673 1623942 1639196 1644682 1655784 1702242 1707939 1723982 1726544 1741428 1773984 1790289 1791936 1834453 1845792 1878336 1921816 1922903 1924672 1941264 1942362 1995732 2017472 2024224 2034864 2121824 2143296 2143564 2162043 2165256 2207712 2254438 2269656 2277252 2321904 2345694 2363138 2387052 2458794 2467023 2483676 2585973 2588352 2589816 2612142 2660976 2713152 2768688 2805634 2882724 2887008 2911896 2913543 3026208 3036336 3052296 3056832 3095872 3127592 3182736 3214944 3215346 3247884 3278392 3289364 3311568 3381657 3404484 3415878 3447964 3453088 3482856 3518541 3544707 3547968 3580578 3668906 3688191 3691584 3843632 3845806 3882528 3884724 3991464 4044727 4048448 4069728 4208451 4243648 4287128 4324086 4330512 4415424 4508876 4539312 4554504 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169067558147046 179012708626284 186557305541568 199555150599792 208083148488672 209876968734264 220323333693888 225423410862728 234093542049756 238683611501712 253601337220569 266073534133056 279835958312352 312124722733008 318244815335616 338135116294092 358025417252568 399110301199584 416166296977344 419753937468528 450846821725456 468187084099512 477367223003424 507202674441138 559671916624704 624249445466016 676270232588184 716050834505136 760804011661707 798220602399168 839507874937056 901693643450912 936374168199024 954734446006848 1014405348882276 1248498890932032 1352540465176368 1432101669010272 1521608023323414 1679015749874112 1803387286901824 1872748336398048 2028810697764552 2705080930352736 2864203338020544 3043216046646828 3745496672796096 4057621395529104 5410161860705472 6086432093293656 8115242791058208 12172864186587312 16230485582116416 24345728373174624 48691456746349248
- Sum of all divisors σ(n): 171822746109268800
- Sum of proper divisors (its aliquot sum) s(n): 123131289362919552
- 48691456746349248 is an abundant number, because the sum of its proper divisors (123131289362919552) is greater than itself. Its abundance is 74439832616570304
Bases of 48691456746349248
- Binary: 101011001111110010011111001101101111011001100010110000002
- Hexadecimal: 0xACFC9F36F662C0
- Base-36: DBFOIFEM9C0
Squares and roots of 48691456746349248
- 48691456746349248 squared (486914567463492482) is 2370857960081599696287375990165504
- 48691456746349248 cubed (486914567463492483) is 115440527815051023643106083341711532887103305940992
-
The
square root of 48691456746349248 is 220661407.4693380723 -
The
cube root of 48691456746349248 is 365160.8892168317
Scales and comparisons
How big is 48691456746349248?- 48,691,456,746,349,248 seconds is equal to 1,548,237,711 years, 50 weeks, 2 days, 19 hours, 40 minutes, 48 seconds.
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To count from 1 to 48,691,456,746,349,248 would take you about four billion, six hundred forty-four million, seven hundred thirteen thousand, one hundred thirty-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 48691456746349248 cubic inches would be around 30430.1 feet tall.
Recreational maths with 48691456746349248
- 48691456746349248 backwards is 84294364765419684
- The number of decimal digits it has is: 17
- The sum of 48691456746349248's digits is 90
- More coming soon!
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The information we have on file for 48691456746349248 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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