47988120919680
47,988,120,919,680 is an even composite number composed of seven prime numbers multiplied together.
What does the number 47988120919680 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 1920 divisors.
47988120919680 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of one thousand, nine hundred twenty divisors.
Prime factorization of 47988120919680:
27 × 34 × 5 × 192 × 61 × 127 × 331
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 5 × 19 × 19 × 61 × 127 × 331)See below for interesting mathematical facts about the number 47988120919680 from the Numbermatics database.
Names of 47988120919680
- Cardinal: 47988120919680 can be written as Forty-seven trillion, nine hundred eighty-eight billion, one hundred twenty million, nine hundred nineteen thousand, six hundred eighty.
Scientific notation
- Scientific notation: 4.798812091968 × 1013
Factors of 47988120919680
Divisors of 47988120919680
- Number of divisors d(n): 1920
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 15 16 18 19 20 24 27 30 32 36 38 40 45 48 54 57 60 61 64 72 76 80 81 90 95 96 108 114 120 122 127 128 135 144 152 160 162 171 180 183 190 192 216 228 240 244 254 270 285 288 304 305 320 324 331 342 360 361 366 380 381 384 405 432 456 480 488 508 513 540 549 570 576 608 610 635 640 648 662 684 720 722 732 760 762 810 855 864 912 915 960 976 993 1016 1026 1080 1083 1098 1140 1143 1152 1159 1216 1220 1270 1296 1324 1368 1440 1444 1464 1520 1524 1539 1620 1647 1655 1710 1728 1805 1824 1830 1905 1920 1952 1986 2032 2052 2160 2166 2196 2280 2286 2318 2413 2432 2440 2540 2565 2592 2648 2736 2745 2880 2888 2928 2979 3040 3048 3078 3240 3249 3294 3310 3420 3429 3456 3477 3610 3648 3660 3810 3904 3972 4064 4104 4320 4332 4392 4560 4572 4636 4826 4880 4941 4965 5080 5130 5184 5296 5415 5472 5490 5715 5760 5776 5795 5856 5958 6080 6096 6156 6289 6480 6498 6588 6620 6840 6858 6954 7220 7239 7296 7320 7620 7695 7747 7808 7944 8128 8208 8235 8640 8664 8784 8937 9120 9144 9272 9652 9747 9760 9882 9930 10160 10260 10287 10368 10431 10592 10830 10944 10980 11430 11552 11590 11712 11916 12065 12160 12192 12312 12578 12960 12996 13176 13240 13680 13716 13908 14440 14478 14640 14895 15240 15390 15494 15888 16245 16256 16416 16470 17145 17280 17328 17385 17568 17874 18240 18288 18544 18867 19304 19494 19520 19764 19860 20191 20320 20520 20574 20862 21184 21660 21717 21888 21960 22021 22860 23104 23180 23241 23424 23832 24130 24384 24624 24705 25156 25920 25992 26352 26480 26811 27360 27432 27816 28880 28956 29241 29280 29790 30480 30780 30988 31293 31445 31776 32490 32832 32940 34290 34656 34770 35136 35748 36195 36480 36576 37088 37734 38608 38735 38988 39040 39528 39720 40382 40640 41040 41148 41724 42037 42368 43320 43434 43920 44042 44685 45720 45847 46208 46360 46482 47664 48260 48735 48768 49248 49410 50312 51435 51840 51984 52155 52704 52960 53622 54720 54864 55632 56601 57760 57912 58482 58560 59580 60573 60960 61560 61976 62586 62890 63552 64980 65151 65664 65880 66063 68580 69312 69540 69723 70272 71496 72390 73152 74176 75468 77216 77470 77976 79056 79440 80764 81280 82080 82296 83448 84074 86640 86868 87840 88084 89370 91440 91694 92720 92964 93879 94335 95328 96520 97470 98496 98820 100624 100955 102870 103968 104310 105408 105920 107244 108585 109440 109728 110105 111264 113202 115520 115824 116205 116964 117120 119160 119491 121146 121920 123120 123952 125172 125780 126111 127104 129960 130302 131760 132126 134055 137160 137541 138624 139080 139446 142992 144780 146205 146304 147193 148352 150936 154432 154940 155952 156465 158112 158880 161528 164160 164592 166896 168148 169803 173280 173736 175680 176168 178740 181719 182880 183388 185440 185928 187758 188670 190656 193040 194940 195453 196992 197640 198189 201248 201910 205740 207936 208620 209169 210185 210816 211840 214488 217170 219456 220210 222528 226404 229235 231040 231648 232410 233928 238320 238982 242292 243840 246240 247904 250344 251560 252222 259920 260604 263520 264252 268110 274320 275082 278160 278892 283005 285984 289560 292410 294386 301872 302865 308864 309880 311904 312930 316224 317760 323056 325755 328320 329184 330315 333792 336296 339606 346560 347472 348615 351360 352336 357480 358473 363438 365760 366776 370880 371856 375516 377340 378333 381312 383629 386080 389880 390906 395280 396378 402496 403820 411480 412623 415872 417240 418338 420370 428976 434340 438912 440420 441579 445056 452808 458470 463296 464820 467856 469395 476640 477964 484584 492480 495808 500688 503120 504444 509409 519840 521208 527040 528504 536220 545157 548640 550164 556320 557784 566010 571968 579120 584820 588772 594567 597455 603744 605730 619760 623808 625860 627507 630555 632448 635520 646112 651510 658368 660630 667584 672592 679212 687705 693120 694944 697230 704672 714960 716946 726876 731520 733552 735965 741760 743712 751032 754680 756666 767258 772160 779760 781812 790560 792756 798703 804992 807640 822960 825246 834480 836676 840740 849015 857952 868680 880840 883158 905616 908595 916940 926592 929640 935712 938790 953280 955928 969168 977265 984960 990945 991616 1001376 1006240 1008888 1018818 1039680 1042416 1045845 1054080 1057008 1072440 1075419 1090314 1097280 1100328 1112640 1115568 1132020 1134999 1143936 1150887 1158240 1169640 1177544 1189134 1194910 1207488 1211460 1237869 1239520 1247616 1251720 1255014 1261110 1292224 1303020 1316736 1321260 1324737 1335168 1345184 1358424 1375410 1389888 1394460 1409344 1429920 1433892 1453752 1467104 1471930 1487424 1502064 1509360 1513332 1534516 1544320 1559520 1563624 1581120 1585512 1597406 1615280 1635471 1645920 1650492 1668960 1673352 1681480 1698030 1715904 1737360 1761680 1766316 1783701 1792365 1811232 1817190 1833880 1859280 1871424 1877580 1891665 1906560 1911856 1918145 1938336 1954530 1981890 2002752 2012480 2017776 2037636 2063115 2079360 2084832 2091690 2114016 2144880 2150838 2180628 2194560 2200656 2207895 2225280 2231136 2264040 2269998 2301774 2316480 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93544095360 94464804960 98336313360 99975251916 105237107280 111083613240 118489187456 124969064895 125953073280 126284528736 131115084480 132931082880 133300335888 140316143040 144979217280 148111484320 149962877874 157338101376 157855660920 166625419860 168379371648 177733781184 188929609920 196672626720 199950503832 210474214560 222167226480 249938129790 252569057472 262230168960 266600671776 280632286080 296222968640 299925755748 315711321840 333250839720 355467562368 374907194685 377859219840 393345253440 399901007664 420948429120 444334452960 499876259580 505138114944 533201343552 592445937280 599851511496 631422643680 666501679440 749814389370 786690506880 799802015328 841896858240 888668905920 999752519160 1066402687104 1199703022992 1262845287360 1333003358880 1499628778740 1599604030656 1777337811840 1999505038320 2399406045984 2525690574720 2666006717760 2999257557480 3199208061312 3999010076640 4798812091968 5332013435520 5998515114960 7998020153280 9597624183936 11997030229920 15996040306560 23994060459840 47988120919680
- Sum of all divisors σ(n): 185840993986560
- Sum of proper divisors (its aliquot sum) s(n): 137852873066880
- 47988120919680 is an abundant number, because the sum of its proper divisors (137852873066880) is greater than itself. Its abundance is 89864752147200
Bases of 47988120919680
- Binary: 10101110100101000110101110011010011110100000002
- Hexadecimal: 0x2BA51AE69E80
- Base-36: H0DFS6G00
Squares and roots of 47988120919680
- 47988120919680 squared (479881209196802) is 2302859749401829249011302400
- 47988120919680 cubed (479881209196803) is 110509912115358964550938584658202591232000
-
The
square root of 47988120919680 is 6927345.8784501297 -
The
cube root of 47988120919680 is 36339.4135924203
Scales and comparisons
How big is 47988120919680?- 47,988,120,919,680 seconds is equal to 1,525,873 years, 42 weeks, 4 hours, 48 minutes.
-
To count from 1 to 47,988,120,919,680 would take you about three million, eight hundred fourteen thousand, six hundred eighty-four 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 47988120919680 cubic inches would be around 3028.3 feet tall.
Recreational maths with 47988120919680
- 47988120919680 backwards is 08691902188974
- 47988120919680 is a
Harshad number . - The number of decimal digits it has is: 14
- The sum of 47988120919680's digits is 72
- More coming soon!
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"Number 47988120919680 - Facts about the integer". Numbermatics.com. 2024. Web. 15 June 2024.
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Numbermatics. (2024). Number 47988120919680 - Facts about the integer. Retrieved 15 June 2024, from https://numbermatics.com/n/47988120919680/
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The information we have on file for 47988120919680 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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