480648438441990
480,648,438,441,990 is an even composite number composed of eight prime numbers multiplied together.
What does the number 480648438441990 look like?
This visualization shows the relationship between its 8 prime factors (large circles) and 2112 divisors.
480648438441990 is an even composite number. It is composed of eight distinct prime numbers multiplied together. It has a total of two thousand, one hundred twelve divisors.
Prime factorization of 480648438441990:
2 × 310 × 5 × 7 × 13 × 232 × 37 × 457
(2 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 5 × 7 × 13 × 23 × 23 × 37 × 457)See below for interesting mathematical facts about the number 480648438441990 from the Numbermatics database.
Names of 480648438441990
- Cardinal: 480648438441990 can be written as Four hundred eighty trillion, six hundred forty-eight billion, four hundred thirty-eight million, four hundred forty-one thousand, nine hundred ninety.
Scientific notation
- Scientific notation: 4.8064843844199 × 1014
Factors of 480648438441990
Divisors of 480648438441990
- Number of divisors d(n): 2112
-
Complete list of divisors:
1 2 3 5 6 7 9 10 13 14 15 18 21 23 26 27 30 35 37 39 42 45 46 54 63 65 69 70 74 78 81 90 91 105 111 115 117 126 130 135 138 161 162 182 185 189 195 207 210 222 230 234 243 259 270 273 299 315 322 333 345 351 370 378 390 405 414 455 457 481 483 486 518 529 546 555 567 585 598 621 630 666 690 702 729 777 805 810 819 851 897 910 914 945 962 966 999 1035 1053 1058 1110 1134 1170 1215 1242 1295 1365 1371 1443 1449 1458 1495 1554 1587 1610 1638 1665 1701 1702 1755 1794 1863 1890 1998 2070 2093 2106 2187 2285 2331 2405 2415 2430 2457 2553 2590 2645 2691 2730 2742 2835 2886 2898 2990 2997 3105 3159 3174 3199 3330 3367 3402 3510 3645 3703 3726 3885 4095 4113 4186 4255 4329 4347 4374 4485 4570 4662 4761 4810 4830 4914 4995 5103 5106 5265 5290 5382 5589 5670 5941 5957 5994 6210 6279 6318 6398 6561 6734 6855 6877 6993 7215 7245 7290 7371 7406 7659 7770 7935 8073 8190 8226 8505 8510 8658 8694 8970 8991 9315 9477 9522 9597 9990 10101 10206 10465 10511 10530 10935 11063 11109 11178 11655 11882 11914 12285 12339 12558 12765 12987 13041 13122 13455 13710 13754 13986 14283 14430 14490 14742 14985 15309 15318 15795 15870 15995 16146 16767 16835 16909 17010 17823 17871 17982 18515 18630 18837 18954 19194 19573 19683 20202 20565 20631 20930 20979 21022 21645 21735 21870 22113 22126 22218 22977 23310 23805 24219 24570 24678 25515 25530 25974 26082 26910 26973 27945 28431 28566 28791 29705 29785 29970 30303 30618 31395 31533 31590 31990 32805 33189 33327 33534 33670 33818 34385 34965 35646 35742 36855 37017 37030 37674 38295 38961 39123 39146 39366 40365 41130 41262 41587 41958 42849 43290 43470 44226 44955 45927 45954 47385 47610 47985 48139 48438 50301 50505 50727 51030 52555 53469 53613 53946 55315 55545 55890 56511 56862 57582 58719 59049 59410 59570 60606 61695 61893 62790 62937 63066 64935 65205 65610 66339 66378 66654 68770 68931 69930 71415 72657 73577 73710 74034 76545 76590 77441 77922 78246 80730 80919 83174 83835 84545 85293 85698 86373 89115 89355 89910 90909 91854 94185 94599 94770 95970 96278 97865 98415 99567 99981 100602 101010 101454 103155 104895 105110 106938 107226 110565 110630 111051 111090 113022 114885 116883 117369 117438 118098 118363 121095 123390 123786 124761 125874 128547 129870 130410 132678 134865 136643 137011 137781 137862 142155 142830 143955 144417 145314 147154 150903 151515 152181 153090 154882 157665 160407 160839 161838 165945 166635 167670 169090 169533 170586 172746 176157 178230 178710 181818 185085 185679 188370 188811 189198 194805 195615 195730 196830 199017 199134 199962 206310 206793 207935 209790 214245 217971 219817 220731 221130 222102 229635 229770 232323 233766 234738 236726 240695 241753 242190 242757 249522 251505 253635 254449 255879 257094 259119 267345 268065 269730 272727 273286 274022 275562 282555 283797 284310 287910 288834 293595 295245 298701 299943 301806 303030 304362 309465 314685 315330 320814 321678 331695 331890 333153 333270 339066 344655 350649 352107 352314 355089 363285 367885 370170 371358 374283 377622 385641 387205 388907 389610 391230 398034 404595 409929 411033 413343 413586 415870 426465 428490 431865 433251 435942 439634 441462 452709 454545 456543 459270 464646 472995 481221 481390 482517 483506 485514 497835 499905 503010 507270 508599 508898 511758 518238 528471 534690 536130 545454 555255 557037 565110 566433 567594 584415 586845 587190 590490 591815 597051 597402 599886 618930 620379 623805 629370 642735 653913 659451 662193 663390 666306 683215 685055 688905 689310 696969 701298 704214 710178 722085 725259 726570 728271 735770 748566 754515 760905 763347 767637 771282 774410 777357 777814 802035 804195 809190 818181 819858 822066 826686 847665 851391 852930 863730 866502 880785 896103 899829 905418 909090 913086 928395 944055 945990 956501 962442 965034 995085 995670 999459 999810 1017198 1033965 1051947 1056321 1056942 1065267 1089855 1099085 1103655 1110510 1114074 1122849 1132866 1156923 1161615 1166721 1168830 1173690 1183630 1194102 1208765 1213785 1229787 1233099 1240758 1247610 1272245 1279395 1285470 1295595 1299753 1307826 1318902 1324386 1358127 1363635 1366430 1369629 1370110 1377810 1393938 1418985 1443663 1444170 1447551 1450518 1456542 1493505 1499715 1509030 1521810 1525797 1526694 1535274 1538719 1554714 1585413 1604070 1608390 1636362 1665765 1671111 1692271 1695330 1699299 1702782 1753245 1760535 1761570 1775445 1781143 1791153 1792206 1799658 1856790 1861137 1871415 1888110 1913002 1928205 1944535 1961739 1978353 1986579 1990170 1998918 2049645 2055165 2066715 2067930 2090907 2103894 2112642 2130534 2166255 2175777 2179710 2184813 2198170 2207310 2245698 2263545 2282715 2290041 2313846 2323230 2332071 2333442 2406105 2412585 2417530 2427570 2454543 2459574 2466198 2542995 2544490 2554173 2558790 2591190 2599506 2642355 2688309 2699487 2716254 2722349 2727270 2739258 2785185 2832165 2837970 2869503 2887326 2895102 2985255 2987010 2998377 2999430 3051594 3077438 3101895 3142789 3155841 3168963 3170826 3195801 3269565 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2321973132570 2464863786882 2543113430910 2598099667254 2640925485945 2966965669395 2985394027590 3482959698855 3560358803274 3697295680323 3814670146365 4108106311470 4179551638626 4330166112090 4577604175638 5281850971890 5340538204911 5933931338790 6162159467205 6495249168135 6866406263457 6965919397710 7394591360646 7629340292730 8900897008185 10448879096565 10681076409822 11444010439095 12324318934410 12990498336270 13732812526914 16021614614733 17801794016370 18486478401615 20897758193130 22888020878190 26702691024555 32043229229466 34332031317285 36972956803230 48064843844199 53405382049110 68664062634570 80108073073665 96129687688398 160216146147330 240324219220995 480648438441990
- Sum of all divisors σ(n): 1718565496857216
- Sum of proper divisors (its aliquot sum) s(n): 1237917058415226
- 480648438441990 is an abundant number, because the sum of its proper divisors (1237917058415226) is greater than itself. Its abundance is 757268619973236
Bases of 480648438441990
- Binary: 11011010100100101101011110110111101101000000001102
- Hexadecimal: 0x1B525AF6F6806
- Base-36: 4QDIUE9UDI
Squares and roots of 480648438441990
- 480648438441990 squared (4806484384419902) is 231022921376723450418595160100
- 480648438441990 cubed (4806484384419903) is 111040806404028757020966207706939798612599000
-
The
square root of 480648438441990 is 21923695.8207778007 -
The
cube root of 480648438441990 is 78332.5946068531
Scales and comparisons
How big is 480648438441990?- 480,648,438,441,990 seconds is equal to 15,283,133 years, 31 weeks, 1 day, 2 hours, 46 minutes, 30 seconds.
-
To count from 1 to 480,648,438,441,990 would take you about thirty-eight million, two hundred seven thousand, eight hundred thirty-three 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 480648438441990 cubic inches would be around 6527.7 feet tall.
Recreational maths with 480648438441990
- 480648438441990 backwards is 099144834846084
- The number of decimal digits it has is: 15
- The sum of 480648438441990's digits is 72
- More coming soon!
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The information we have on file for 480648438441990 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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