648199132020

Names of 648199132020

• Cardinal: 648199132020 can be written as Six hundred forty-eight billion, one hundred ninety-nine million, one hundred thirty-two thousand and twenty.

Scientific notation

• Scientific notation: 6.4819913202 × 10¹¹

Factors of 648199132020

• Number of distinct prime factors ω(n): 6
• Total number of prime factors Ω(n): 14
• Sum of prime factors: 89

Divisors of 648199132020

• Number of divisors d(n): 864
• Complete list of divisors:
  1 2 3 4 5 6 9 10 11 12 15 18 20 22 27 30 31 33 36 37 44 45 54 55 60 62 66 74 81 90 93 99 108 110 111 121 124 132 135 148 155 162 165 180 185 186 198 220 222 242 243 270 279 297 310 324 330 333 341 363 370 372 396 405 407 444 465 484 486 495 540 555 558 594 605 620 660 666 682 726 740 810 814 837 891 930 961 972 990 999 1023 1089 1110 1116 1147 1188 1210 1215 1221 1332 1364 1395 1452 1485 1620 1628 1665 1674 1705 1782 1815 1860 1922 1980 1998 2035 2046 2178 2220 2294 2420 2430 2442 2511 2673 2790 2883 2970 2997 3069 3267 3330 3348 3410 3441 3564 3630 3663 3751 3844 3996 4070 4092 4185 4356 4455 4477 4588 4805 4860 4884 4995 5022 5115 5346 5445 5580 5735 5766 5940 5994 6105 6138 6534 6660 6820 6882 7260 7326 7502 7533 8140 8370 8649 8910 8954 8991 9207 9610 9801 9990 10044 10230 10323 10571 10692 10890 10989 11253 11470 11532 11988 12210 12276 12555 12617 13068 13365 13431 13764 14415 14652 14985 15004 15066 15345 16335 16740 17205 17298 17820 17908 17982 18315 18414 18755 19220 19602 19980 20460 20646 21142 21780 21978 22385 22506 22940 24420 25110 25234 25947 26730 26862 27621 28830 29403 29791 29970 30132 30690 30969 31713 32670 32967 33759 34410 34596 35557 35964 36630 36828 37510 37665 37851 39204 40293 41292 42284 43245 43956 44770 44955 45012 46035 49005 50220 50468 51615 51894 52855 53460 53724 54945 55242 56265 57660 58806 59582 59940 61380 61938 63085 63426 65340 65934 67155 67518 68820 71114 73260 75020 75330 75702 77841 80586 82863 86490 89373 89540 89910 92070 92907 95139 98010 98901 101277 103230 103788 105710 106671 109890 110484 112530 113553 116281 117612 119164 120879 123876 126170 126852 129735 131868 134310 135036 138105 138787 142228 147015 148955 150660 151404 154845 155682 158565 161172 164835 165726 168795 172980 177785 178746 179820 184140 185814 189255 190278 196020 197802 201465 202554 206460 211420 213342 219780 225060 227106 232562 233523 241758 252340 259470 268119 268620 276210 277574 278721 285417 294030 297910 303831 309690 311364 317130 320013 327701 329670 331452 337590 340659 348843 355570 357492 362637 371628 378510 380556 389205 391127 395604 402930 405108 414315 416361 426684 446865 454212 464535 465124 467046 475695 483516 494505 506385 518940 533355 536238 552420 555148 557442 567765 570834 581405 588060 595820 604395 607662 619380 634260 640026 655402 659340 675180 681318 693935 697686 711140 725274 757020 778410 782254 804357 805860 828630 832722 856251 893730 911493 929070 934092 951390 960039 983103 989010 1012770 1021977 1046529 1066710 1072476 1087911 1102267 1114884 1135530 1141668 1162810 1167615 1173381 1208790 1215324 1249083 1280052 1310804 1340595 1362636 1387870 1393605 1395372 1427085 1450548 1519155 1556820 1564508 1600065 1608714 1638505 1657260 1665444 1703295 1712502 1744215 1787460 1813185 1822986 1858140 1902780 1920078 1955635 1966206 1978020 2025540 2043954 2081805 2093058 2133420 2175822 2204534 2271060 2325620 2335230 2346762 2413071 2417580 2498166 2568753 2681190 2775740 2787210 2854170 2880117 2949309 3038310 3065931 3139587 3200130 3217428 3277010 3306801 3406590 3425004 3488430 3520143 3604711 3626370 3645972 3747249 3840156 3911270 3932412 4021785 4087908 4163610 4186116 4281255 4302397 4351644 4409068 4557465 4670460 4693524 4800195 4826142 4915515 4996332 5109885 5137506 5232645 5362380 5439555 5511335 5574420 5708340 5760234 5866905 5898618 6076620 6131862 6245415 6279174 6400260 6554020 6613602 6813180 6976860 7040286 7209422 7239213 7252740 7494498 7822540 8043570 8327220 8562510 8604794 8640351 8847927 9114930 9418761 9600390 9652284 9831030 9920403 10219770 10275012 10465290 10560429 10814133 10879110 11022670 11241747 11520468 11733810 11797236 12065355 12124937 12263724 12490830 12558348 12843765 12907191 13227204 14080572 14400585 14418844 14478426 14746545 14988996 15329655 15697935 16087140 16534005 17125020 17209588 17280702 17600715 17695854 18023555 18229860 18736245 18837522 19200780 19662060 19840806 20439540 20930580 21120858 21511985 21628266 21758220 22045340 22483494 23467620 24130710 24249874 24981660 25687530 25814382 26543781 28256283 28801170 28956852 29493090 29761209 30659310 31395870 31681287 32442399 33068010 33725241 34561404 35201430 35391708 36047110 36196065 36374811 37472490 37675044 38721573 39681612 42241716 43023970 43201755 43256532 44239635 44966988 47093805 48261420 48499748 49602015 51375060 51628764 52802145 53087562 54070665 56208735 56512566 57602340 58986180 59522418 60624685 61318620 62791740 63362574 64535955 64884798 66136020 67450482 70402860 72094220 72392130 72749622 74944980 77443146 79631343 86047940 86403510 88479270 89283627 94187610 95043861 97327197 99204030 105604290 106175124 108141330 109124433 112417470 113025132 116164719 119044836 121249370 126725148 129071910 129769596 132718905 133374307 134900964 141281415 144784260 145499244 148806045 154886292 158406435 159262686 162211995 168626205 172807020 176958540 178567254 181874055 188375220 190087722 193607865 194654394 198408060 211208580 216282660 218248866 224834940 232329438 242498740 258143820 265437810 266748614 267850881 282562830 291981591 297612090 316812870 318525372 324423990 327373299 337252410 348494157 357134508 363748110 380175444 387215730 389308788 398156715 400122921 436497732 446418135 464658876 475219305 486635985 530875620 533497228 535701762 545622165 565125660 580823595 583963182 595224180 633625740 648847980 654746598 666871535 674504820 696988314 727496220 774431460 796313430 800245842 875944773 892836270 950438610 973271970 982119897 1045482471 1071403524 1091244330 1161647190 1167926364 1200368763 1309493196 1333743070 1339254405 1393976628 1459907955 1592626860 1600491684 1636866495 1742470785 1751889546 1785672540 1900877220 1946543940 1964239794 2000614605 2090964942 2182488660 2323294380 2400737526 2667486140 2678508810 2919815910 2946359691 3273732990 3484941570 3503779092 3601106289 3928479588 4001229210 4181929884 4379723865 4801475052 4910599485 5227412355 5357017620 5839631820 5892719382 6001843815 6547465980 6969883140 7202212578 8002458420 8759447730 9821198970 10454824710 10803318867 11785438764 12003687630 14404425156 14731798455 17518895460 18005531445 19642397940 20909649420 21606637734 24007375260 29463596910 32409956601 36011062890 43213275468 54016594335 58927193820 64819913202 72022125780 108033188670 129639826404 162049783005 216066377340 324099566010 648199132020
• Sum of all divisors σ(n): 2378542752768
• Sum of proper divisors (its aliquot sum) s(n): 1730343620748
• 648199132020 is an abundant number, because the sum of its proper divisors (1730343620748) is greater than itself. Its abundance is 1082144488728

Bases of 648199132020

• Binary: 1001011011101011101011011101001101110100₂
• Hexadecimal: 0x96EBADD374
• Base-36: 89S10Z90

Squares and roots of 648199132020

• 648199132020 squared (648199132020²) is 420162114751481389280400
• 648199132020 cubed (648199132020³) is 272348718089597874540739012398408000
• The square root of 648199132020 is 805108.1492694009
• The cube root of 648199132020 is 8654.3837448579

Scales and comparisons

• 648,199,132,020 seconds is equal to 20,610 years, 37 weeks, 5 days, 18 hours, 27 minutes.
• To count from 1 to 648,199,132,020 would take you about forty-one thousand, two hundred twenty-one 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 648199132020 cubic inches would be around 721.2 feet tall.

Recreational maths with 648199132020

• 648199132020 backwards is 020231991846
• 648199132020 is a Harshad number.
• The number of decimal digits it has is: 12
• The sum of 648199132020's digits is 45
• More coming soon!