468984965040

Names of 468984965040

• Cardinal: 468984965040 can be written as Four hundred sixty-eight billion, nine hundred eighty-four million, nine hundred sixty-five thousand and forty.

Scientific notation

• Scientific notation: 4.6898496504 × 10¹¹

Factors of 468984965040

• Number of distinct prime factors ω(n): 6
• Total number of prime factors Ω(n): 13
• Sum of prime factors: 1041

Divisors of 468984965040

• Number of divisors d(n): 480
• Complete list of divisors:
  1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 36 40 45 48 54 60 72 80 81 90 108 120 135 137 144 162 180 216 240 243 270 274 293 324 360 405 411 432 486 540 548 586 601 648 685 720 810 822 879 972 1080 1096 1172 1202 1215 1233 1296 1370 1465 1620 1644 1758 1803 1944 2055 2160 2192 2344 2404 2430 2466 2637 2740 2930 3005 3240 3288 3516 3606 3699 3888 4110 4395 4688 4808 4860 4932 5274 5409 5480 5860 6010 6165 6480 6576 7032 7212 7398 7911 8220 8790 9015 9616 9720 9864 10548 10818 10960 11097 11720 12020 12330 13185 14064 14424 14796 15822 16227 16440 17580 18030 18495 19440 19728 21096 21636 22194 23440 23733 24040 24660 26370 27045 28848 29592 31644 32454 32880 33291 35160 36060 36990 39555 40141 42192 43272 44388 47466 48080 48681 49320 52740 54090 55485 59184 63288 64908 66582 70320 71199 72120 73980 79110 80282 81135 82337 86544 88776 94932 97362 98640 105480 108180 110970 118665 120423 126576 129816 133164 142398 144240 146043 147960 158220 160564 162270 164674 166455 176093 177552 189864 194724 200705 210960 216360 221940 237330 240846 243405 247011 259632 266328 284796 292086 295920 316440 321128 324540 329348 332910 352186 355995 361269 379728 389448 401410 411685 432720 443880 474660 481692 486810 494022 528279 532656 569592 584172 602115 632880 642256 649080 658696 665820 704372 711990 722538 730215 741033 778896 802820 823370 880465 887760 949320 963384 973620 988044 1056558 1083807 1139184 1168344 1204230 1235055 1298160 1317392 1331640 1408744 1423980 1445076 1460430 1482066 1584837 1605640 1646740 1760930 1806345 1898640 1926768 1947240 1976088 2113116 2167614 2223099 2336688 2408460 2470110 2641395 2663280 2817488 2847960 2890152 2920860 2964132 3169674 3211280 3251421 3293480 3521860 3612690 3705165 3894480 3952176 4226232 4335228 4446198 4754511 4816920 4940220 5282790 5419035 5695920 5780304 5841720 5928264 6339348 6502842 6586960 6669297 7043720 7225380 7410330 7924185 8452464 8670456 8892396 9509022 9633840 9754263 9880440 10565580 10838070 11115495 11683440 11856528 12678696 13005684 13338594 14087440 14263533 14450760 14820660 15848370 16257105 17340912 17784792 19018044 19508526 19760880 20007891 21131160 21676140 22230990 23772555 24124741 25357392 26011368 26677188 28527066 28901520 29641320 31696740 32514210 33346485 35569584 38036088 39017052 40015782 42262320 42790599 43352280 44461980 47545110 48249482 48771315 52022736 53354376 57054132 59282640 63393480 65028420 66692970 71317665 72374223 76072176 78034104 80031564 85581198 86704560 88923960 95090220 96498964 97542630 100039455 106708752 114108264 120623705 126786960 130056840 133385940 142635330 144748446 156068208 160063128 171162396 177847920 190180440 192997928 195085260 200078910 213952995 217122669 228216528 241247410 260113680 266771880 285270660 289496892 320126256 342324792 361871115 380360880 385995856 390170520 400157820 427905990 434245338 482494820 533543760 570541320 578993784 651368007 684649584 723742230 780341040 800315640 855811980 868490676 964989640 1085613345 1141082640 1157987568 1302736014 1447484460 1600631280 1711623960 1736981352 1929979280 1954104021 2171226690 2605472028 2894968920 3256840035 3423247920 3473962704 3908208042 4342453380 5210944056 5789937840 5862312063 6513680070 7816416084 8684906760 9770520105 10421888112 11724624126 13027360140 15632832168 17369813520 19541040210 23449248252 26054720280 29311560315 31265664336 39082080420 46898496504 52109440560 58623120630 78164160840 93796993008 117246241260 156328321680 234492482520 468984965040
• Sum of all divisors σ(n): 1653625786176
• Sum of proper divisors (its aliquot sum) s(n): 1184640821136
• 468984965040 is an abundant number, because the sum of its proper divisors (1184640821136) is greater than itself. Its abundance is 715655856096

Bases of 468984965040

• Binary: 110110100110001101011101010011110110000₂
• Hexadecimal: 0x6D31AEA7B0
• Base-36: 5ZG5JF00

Squares and roots of 468984965040

• 468984965040 squared (468984965040²) is 219946897433570022201600
• 468984965040 cubed (468984965040³) is 103151788003539302584609399832064000
• The square root of 468984965040 is 684824.7695870821
• The cube root of 468984965040 is 7769.3789876505

Scales and comparisons

• 468,984,965,040 seconds is equal to 14,912 years, 14 weeks, 17 hours, 24 minutes.
• To count from 1 to 468,984,965,040 would take you about twenty-nine thousand, eight hundred twenty-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 468984965040 cubic inches would be around 647.4 feet tall.

Recreational maths with 468984965040

• 468984965040 backwards is 040569489864
• The number of decimal digits it has is: 12
• The sum of 468984965040's digits is 63
• More coming soon!