664943040400800

Names of 664943040400800

• Cardinal: 664943040400800 can be written as Six hundred sixty-four trillion, nine hundred forty-three billion, forty million, four hundred thousand, eight hundred.

Scientific notation

• Scientific notation: 6.649430404008 × 10¹⁴

Factors of 664943040400800

• Number of distinct prime factors ω(n): 7
• Total number of prime factors Ω(n): 12
• Sum of prime factors: 7380408

Divisors of 664943040400800

• Number of divisors d(n): 576
• Complete list of divisors:
  1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 25 28 30 31 32 35 40 42 48 50 56 60 62 70 75 80 84 93 96 100 105 112 120 124 140 150 155 160 168 173 175 186 200 210 217 224 240 248 280 300 310 336 346 350 372 400 420 434 465 480 496 519 525 560 600 620 651 672 692 700 744 775 800 840 865 868 930 992 1038 1050 1085 1120 1200 1211 1240 1302 1384 1400 1488 1550 1680 1730 1736 1860 2076 2100 2170 2325 2400 2422 2480 2595 2604 2768 2800 2976 3100 3255 3360 3460 3472 3633 3720 4152 4200 4325 4340 4650 4844 4960 5190 5208 5363 5425 5536 5600 6055 6200 6510 6920 6944 7266 7440 8304 8400 8650 8680 9300 9688 10380 10416 10726 10850 12110 12400 12975 13020 13840 14532 14880 16089 16275 16608 16800 17300 17360 18165 18600 19376 20760 20832 21452 21700 24220 24800 25950 26040 26815 27680 29064 30275 32178 32550 34600 34720 36330 37200 37541 38752 41520 42904 43400 48440 51900 52080 53630 58128 60550 64356 65100 69200 72660 74400 75082 80445 83040 85808 86800 90825 96880 103800 104160 107260 112623 116256 121100 128712 130200 134075 138400 145320 150164 160890 171616 173600 181650 187705 193760 207600 214520 225246 242200 257424 260400 268150 290640 300328 321780 363300 375410 402225 415200 429040 450492 484400 514848 520800 536300 563115 581280 600656 643560 726600 750820 804450 858080 900984 938525 968800 1072600 1126230 1201312 1287120 1453200 1501640 1608900 1801968 1877050 2145200 2252460 2574240 2815575 2906400 3003280 3217800 3603936 3754100 4290400 4504920 5631150 6006560 6435600 7380187 7508200 9009840 11262300 12871200 14760374 15016400 18019680 22140561 22524600 29520748 30032800 36900935 44281122 45049200 51661309 59041496 73801870 88562244 90098400 103322618 110702805 118082992 147603740 154983927 177124488 184504675 206645236 221405610 228785797 236165984 258306545 295207480 309967854 354248976 369009350 413290472 442811220 457571594 516613090 553514025 590414960 619935708 686357391 708497952 738018700 774919635 826580944 885622440 915143188 1033226180 1107028050 1143928985 1180829920 1239871416 1276772351 1291532725 1372714782 1476037400 1549839270 1601500579 1653161888 1771244880 1830286376 2066452360 2214056100 2287857970 2479742832 2553544702 2583065450 2745429564 2952074800 3099678540 3203001158 3431786955 3542489760 3660572752 3830317053 3874598175 4132904720 4428112200 4575715940 4804501737 4959485664 5107089404 5166130900 5490859128 5719644925 5904149600 6199357080 6383861755 6406002316 6863573910 7321145504 7660634106 7749196350 8007502895 8265809440 8856224400 8937406457 9151431880 9609003474 10214178808 10332261800 10981718256 11439289850 12398714160 12767723510 12812004632 13727147820 15321268212 15498392700 16015005790 17158934775 17712448800 17874812914 18302863760 19151585265 19218006948 20428357616 20664523600 21963436512 22878579700 24022508685 24797428320 25535447020 25624009264 26812219371 27454295640 30642536424 30996785400 31919308775 32030011580 34317869550 35749625828 36605727520 38303170530 38436013896 39579942881 40037514475 40856715232 41329047200 44687032285 45757159400 48045017370 51070894040 51248018528 53624438742 54908591280 61285072848 61993570800 63838617550 64060023160 68635739100 71499251656 76606341060 76872027792 79159885762 80075028950 89374064570 91514318800 95757926325 96090034740 102141788080 107248877484 109817182560 118739828643 120112543425 122570145696 123987141600 127677235100 128120046320 134061096855 137271478200 142998503312 153212682120 153744055584 158319771524 160150057900 178748129140 183028637600 191515852650 192180069480 197899714405 204283576160 214497754968 223435161425 237479657286 240225086850 255354470200 256240092640 268122193710 274542956400 277059600167 285997006624 306425364240 316639543048 320300115800 357496258280 383031705300 384360138960 395799428810 428995509936 446870322850 474959314572 480450173700 510708940400 536244387420 549085912800 554119200334 593699143215 612850728480 633279086096 640600231600 670305484275 714992516560 766063410600 768720277920 791598857620 831178800501 857991019872 893740645700 949918629144 960900347400 989498572025 1021417880800 1072488774840 1108238400668 1187398286430 1266558172192 1281200463200 1340610968550 1385298000835 1429985033120 1532126821200 1583197715240 1662357601002 1787481291400 1899837258288 1921800694800 1978997144050 2144977549680 2216476801336 2374796572860 2681221937100 2770596001670 2968495716075 3064253642400 3166395430480 3324715202004 3574962582800 3799674516576 3843601389600 3957994288100 4155894002505 4289955099360 4432953602672 4749593145720 5362443874200 5541192003340 5936991432150 6332790860960 6649430404008 6926490004175 7149925165600 7915988576200 8311788005010 8865907205344 9499186291440 10724887748400 11082384006680 11873982864300 13298860808016 13852980008350 15831977152400 16623576010020 18998372582880 20779470012525 21449775496800 22164768013360 23747965728600 26597721616032 27705960016700 31663954304800 33247152020040 41558940025050 44329536026720 47495931457200 55411920033400 66494304040080 83117880050100 94991862914400 110823840066800 132988608080160 166235760100200 221647680133600 332471520200400 664943040400800
• Sum of all divisors σ(n): 2568141052452864
• Sum of proper divisors (its aliquot sum) s(n): 1903198012052064
• 664943040400800 is an abundant number, because the sum of its proper divisors (1903198012052064) is greater than itself. Its abundance is 1238254971651264

Bases of 664943040400800

• Binary: 10010111001100001100011101101110000000110110100000₂
• Hexadecimal: 0x25CC31DB80DA0
• Base-36: 6JPAM5XMLC

Squares and roots of 664943040400800

• 664943040400800 squared (664943040400800²) is 442149246977459941024640640000
• 664943040400800 cubed (664943040400800³) is 294004064596116442851711206431821568512000000
• The square root of 664943040400800 is 25786489.4935468097
• The cube root of 664943040400800 is 87282.6951858237

Scales and comparisons

• 664,943,040,400,800 seconds is equal to 21,143,131 years, 45 weeks, 5 days, 15 hours, 20 minutes.
• To count from 1 to 664,943,040,400,800 would take you about fifty-two million, eight hundred fifty-seven thousand, eight hundred twenty-nine 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 664943040400800 cubic inches would be around 7273.6 feet tall.

Recreational maths with 664943040400800

• 664943040400800 backwards is 008004040349466
• 664943040400800 is a Harshad number.
• The number of decimal digits it has is: 15
• The sum of 664943040400800's digits is 48
• More coming soon!