468916864000

Names of 468916864000

• Cardinal: 468916864000 can be written as Four hundred sixty-eight billion, nine hundred sixteen million, eight hundred sixty-four thousand.

Scientific notation

• Scientific notation: 4.68916864 × 10¹¹

Factors of 468916864000

• Number of distinct prime factors ω(n): 5
• Total number of prime factors Ω(n): 17
• Sum of prime factors: 482

Divisors of 468916864000

• Number of divisors d(n): 528
• Complete list of divisors:
  1 2 4 5 8 10 13 16 20 25 26 32 40 50 52 53 64 65 80 100 104 106 125 128 130 160 169 200 208 212 250 256 260 265 320 325 338 400 409 416 424 500 512 520 530 640 650 676 689 800 818 832 845 848 1000 1024 1040 1060 1280 1300 1325 1352 1378 1600 1625 1636 1664 1690 1696 2000 2045 2080 2120 2560 2600 2650 2704 2756 3200 3250 3272 3328 3380 3392 3445 4000 4090 4160 4225 4240 5120 5200 5300 5317 5408 5512 6400 6500 6544 6625 6656 6760 6784 6890 8000 8180 8320 8450 8480 8957 10225 10400 10600 10634 10816 11024 12800 13000 13088 13250 13312 13520 13568 13780 16000 16360 16640 16900 16960 17225 17914 20450 20800 21125 21200 21268 21632 21677 22048 25600 26000 26176 26500 26585 27040 27136 27560 32000 32720 33280 33800 33920 34450 35828 40900 41600 42250 42400 42536 43264 43354 44096 44785 51125 52000 52352 53000 53170 54080 54272 55120 64000 65440 66560 67600 67840 68900 69121 71656 81800 83200 84500 84800 85072 86125 86528 86708 88192 89570 102250 104000 104704 106000 106340 108160 108385 110240 128000 130880 132925 135200 135680 137800 138242 143312 163600 166400 169000 169600 170144 172250 173056 173416 176384 179140 204500 208000 209408 212000 212680 216320 216770 220480 223925 261760 265850 270400 271360 275600 276484 281801 286624 327200 332800 338000 339200 340288 344500 345605 346832 352768 358280 409000 416000 418816 424000 425360 432640 433540 440960 447850 523520 531700 540800 541925 551200 552968 563602 573248 654400 664625 676000 678400 680576 689000 691210 693664 705536 716560 818000 832000 848000 850720 865280 867080 881920 895700 1047040 1063400 1081600 1083850 1102400 1105936 1119625 1127204 1146496 1308800 1329250 1352000 1356800 1361152 1378000 1382420 1387328 1409005 1433120 1636000 1664000 1696000 1701440 1728025 1734160 1763840 1791400 2094080 2126800 2163200 2167700 2204800 2211872 2239250 2254408 2292992 2617600 2658500 2704000 2709625 2722304 2756000 2764840 2774656 2818010 2866240 3272000 3392000 3402880 3456050 3468320 3527680 3582800 3663413 4253600 4326400 4335400 4409600 4423744 4478500 4508816 4585984 5235200 5317000 5408000 5419250 5444608 5512000 5529680 5549312 5636020 5732480 6544000 6784000 6805760 6912100 6936640 7045025 7165600 7326826 8507200 8640125 8670800 8819200 8847488 8957000 9017632 9171968 10470400 10634000 10816000 10838500 11024000 11059360 11098624 11272040 11464960 13088000 13611520 13824200 13873280 14090050 14331200 14653652 17014400 17280250 17341600 17638400 17694976 17914000 18035264 18317065 21268000 21632000 21677000 22048000 22118720 22197248 22544080 22929920 26176000 27223040 27648400 27746560 28180100 28662400 29307304 34028800 34560500 34683200 35225125 35389952 35828000 36070528 36634130 42536000 43354000 44096000 44237440 45088160 45859840 52352000 55296800 55493120 56360200 57324800 58614608 68057600 69121000 69366400 70450250 70779904 71656000 72141056 73268260 85072000 86708000 88192000 88474880 90176320 91585325 110593600 110986240 112720400 114649600 117229216 136115200 138242000 138732800 140900500 143312000 144282112 146536520 170144000 173416000 176949760 180352640 183170650 221187200 225440800 229299200 234458432 276484000 277465600 281801000 286624000 288564224 293073040 340288000 346832000 353899520 360705280 366341300 442374400 450881600 457926625 468916864 552968000 554931200 563602000 573248000 586146080 680576000 693664000 721410560 732682600 884748800 901763200 915853250 937833728 1105936000 1127204000 1146496000 1172292160 1387328000 1442821120 1465365200 1769497600 1803526400 1831706500 1875667456 2211872000 2254408000 2344584320 2774656000 2930730400 3607052800 3663413000 3751334912 4423744000 4508816000 4689168640 5861460800 7214105600 7326826000 8847488000 9017632000 9378337280 11722921600 14653652000 18035264000 18756674560 23445843200 29307304000 36070528000 46891686400 58614608000 93783372800 117229216000 234458432000 468916864000
• Sum of all divisors σ(n): 1293811917840
• Sum of proper divisors (its aliquot sum) s(n): 824895053840
• 468916864000 is an abundant number, because the sum of its proper divisors (824895053840) is greater than itself. Its abundance is 355978189840

Bases of 468916864000

• Binary: 110110100101101100111111000010000000000₂
• Hexadecimal: 0x6D2D9F8400
• Base-36: 5ZF0ZRWG

Squares and roots of 468916864000

• 468916864000 squared (468916864000²) is 219883025343594496000000
• 468916864000 cubed (468916864000³) is 103106858690950853551980544000000000
• The square root of 468916864000 is 684775.0462743221
• The cube root of 468916864000 is 7769.0029070789

Scales and comparisons

• 468,916,864,000 seconds is equal to 14,910 years, 5 weeks, 3 days, 12 hours, 26 minutes, 40 seconds.
• To count from 1 to 468,916,864,000 would take you about twenty-nine thousand, eight hundred twenty 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 468916864000 cubic inches would be around 647.4 feet tall.

Recreational maths with 468916864000

• 468916864000 backwards is 000468619864
• 468916864000 is a Harshad number.
• The number of decimal digits it has is: 12
• The sum of 468916864000's digits is 52
• More coming soon!