468256588829120

Names of 468256588829120

• Cardinal: 468256588829120 can be written as Four hundred sixty-eight trillion, two hundred fifty-six billion, five hundred eighty-eight million, eight hundred twenty-nine thousand, one hundred twenty.

Scientific notation

• Scientific notation: 4.6825658882912 × 10¹⁴

Factors of 468256588829120

• Number of distinct prime factors ω(n): 6
• Total number of prime factors Ω(n): 13
• Sum of prime factors: 4407

Divisors of 468256588829120

• Number of divisors d(n): 504
• Complete list of divisors:
  1 2 4 5 7 8 10 13 14 16 20 26 28 32 35 40 49 52 56 64 65 70 80 91 98 104 112 127 130 140 160 182 196 208 224 245 254 260 280 320 364 392 416 448 455 490 508 520 560 635 637 728 784 832 889 910 980 1016 1040 1120 1270 1274 1456 1568 1651 1778 1820 1960 2032 2080 2240 2540 2548 2912 3136 3185 3302 3556 3640 3920 4064 4160 4253 4445 5080 5096 5824 6223 6370 6604 7112 7280 7840 8128 8255 8506 8890 10160 10192 11557 12446 12740 13208 14224 14560 15680 16510 17012 17780 20320 20384 21265 23114 24892 25480 26416 28448 29120 29771 31115 33020 34024 35560 40640 40768 42530 46228 49784 50960 52832 55289 56896 57785 59542 62230 66040 68048 71120 80899 85060 92456 99568 101920 105664 110578 115570 119084 124460 132080 136096 142240 148855 161798 170120 184912 199136 203840 208397 221156 231140 238168 248920 264160 272192 276445 284480 297710 323596 340240 369824 387023 398272 404495 416794 442312 462280 476336 497840 528320 540131 552890 595420 647192 680480 739648 774046 808990 833588 884624 924560 952672 995680 1041985 1080262 1105780 1190840 1294384 1360960 1548092 1617980 1667176 1769248 1849120 1905344 1935115 1991360 2083970 2160524 2211560 2381680 2588768 2700655 2709161 3096184 3235960 3334352 3538496 3698240 3780917 3870230 4167940 4321048 4423120 4763360 5177536 5401310 5418322 6192368 6471920 6668704 7021703 7561834 7740460 8335880 8642096 8846240 9526720 10802620 10836644 12384736 12943840 13337408 13545805 14043406 15123668 15480920 16671760 17284192 17692480 18088009 18904585 21605240 21673288 24769472 25887680 26466419 27091610 28086812 30247336 30961840 33343520 34568384 35108515 36176018 37809170 43210480 43346576 49151921 52932838 54183220 56173624 60494672 61923680 66687040 70217030 72352036 75618340 86420960 86693152 90440045 98303842 105865676 108366440 112347248 120989344 123847360 126616063 132332095 140434060 144704072 151236680 172841920 173386304 180880090 196607684 211731352 216732880 224694496 235144117 241978688 245759605 253232126 264664190 280868120 289408144 302473360 344063447 361760180 393215368 423462704 433465760 449388992 470288234 491519210 506464252 529328380 561736240 578816288 604946720 633080315 688126894 723520360 786430736 846925408 866931520 886312441 940576468 983038420 1012928504 1058656760 1123472480 1157632576 1175720585 1209893440 1266160630 1376253788 1447040720 1572861472 1646008819 1693850816 1720317235 1772624882 1881152936 1966076840 2025857008 2117313520 2246944960 2297177143 2351441170 2532321260 2752507576 2894081440 3145722944 3292017638 3440634470 3545249764 3762305872 3932153680 4051714016 4234627040 4431562205 4594354286 4702882340 5064642520 5505015152 5788162880 6584035276 6881268940 7090499528 7524611744 7864307360 8103428032 8230044095 8469254080 8863124410 9188708572 9405764680 10129285040 11010030304 11485885715 11522061733 13168070552 13762537880 14180999056 15049223488 15728614720 16080240001 16460088190 17726248820 18377417144 18811529360 20258570080 22020060608 22971771430 23044123466 26336141104 27525075760 28361998112 29863302859 32160480002 32920176380 35452497640 36754834288 37623058720 40517140160 45943542860 46088246932 52672282208 55050151520 56723996224 57610308665 59726605718 64320960004 65840352760 70904995280 73509668576 75246117440 80401200005 91887085720 92176493864 105344564416 110100303040 112561680007 115220617330 119453211436 128641920008 131680705520 141809990560 147019337152 149316514295 160802400010 183774171440 184352987728 209043120013 225123360014 230441234660 238906422872 257283840016 263361411040 283619981120 298633028590 321604800020 367548342880 368705975456 418086240026 450246720028 460882469320 477812845744 514567680032 526722822080 562808400035 597266057180 643209600040 735096685760 737411950912 836172480052 900493440056 921764938640 955625691488 1029135360064 1045215600065 1125616800070 1194532114360 1286419200080 1463301840091 1672344960104 1800986880112 1843529877280 1911251382976 2090431200130 2251233600140 2389064228720 2572838400160 2926603680182 3344689920208 3601973760224 3687059754560 4180862400260 4502467200280 4778128457440 5145676800320 5853207360364 6689379840416 7203947520448 7316509200455 8361724800520 9004934400560 9556256914880 11706414720728 13378759680832 14633018400910 16723449601040 18009868801120 23412829441456 29266036801820 33446899202080 36019737602240 46825658882912 58532073603640 66893798404160 93651317765824 117064147207280 234128294414560 468256588829120
• Sum of all divisors σ(n): 1408188277246464
• Sum of proper divisors (its aliquot sum) s(n): 939931688417344
• 468256588829120 is an abundant number, because the sum of its proper divisors (939931688417344) is greater than itself. Its abundance is 471675099588224

Bases of 468256588829120

• Binary: 1101010011110000001111011101001000001000111000000₂
• Hexadecimal: 0x1A9E07BA411C0
• Base-36: 4LZE3UYMRK

Squares and roots of 468256588829120

• 468256588829120 squared (468256588829120²) is 219264232981883549172559974400
• 468256588829120 cubed (468256588829120³) is 102671921788330217398812445127864273174528000
• The square root of 468256588829120 is 21639237.2515557951
• The cube root of 468256588829120 is 77653.5472003491

Scales and comparisons

• 468,256,588,829,120 seconds is equal to 14,889,111 years, 5 weeks, 5 days, 18 hours, 45 minutes, 20 seconds.
• To count from 1 to 468,256,588,829,120 would take you about thirty-seven million, two hundred twenty-two thousand, seven hundred seventy-seven 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 468256588829120 cubic inches would be around 6471.1 feet tall.

Recreational maths with 468256588829120

• 468256588829120 backwards is 021928885652864
• The number of decimal digits it has is: 15
• The sum of 468256588829120's digits is 74
• More coming soon!