468744080400

Names of 468744080400

• Cardinal: 468744080400 can be written as Four hundred sixty-eight billion, seven hundred forty-four million, eighty thousand, four hundred.

Scientific notation

• Scientific notation: 4.687440804 × 10¹¹

Factors of 468744080400

• Number of distinct prime factors ω(n): 6
• Total number of prime factors Ω(n): 12
• Sum of prime factors: 405

Divisors of 468744080400

• Number of divisors d(n): 540
• Complete list of divisors:
  1 2 3 4 5 6 8 9 10 12 15 16 17 18 20 24 25 30 34 36 40 45 48 50 51 60 68 72 75 80 85 90 97 100 102 120 136 144 150 153 170 180 194 200 204 225 240 255 272 281 291 300 306 340 360 388 400 408 425 450 485 510 562 582 600 612 680 720 765 776 816 843 850 873 900 970 1020 1124 1164 1200 1224 1275 1360 1405 1455 1530 1552 1649 1686 1700 1746 1800 1940 2040 2248 2328 2425 2448 2529 2550 2810 2910 3060 3298 3372 3400 3492 3600 3825 3880 4080 4215 4365 4496 4656 4777 4850 4947 5058 5100 5620 5820 6120 6596 6744 6800 6984 7025 7275 7650 7760 8245 8430 8730 9554 9700 9894 10116 10200 11240 11640 12240 12645 13192 13488 13968 14050 14331 14550 14841 15300 16490 16860 17460 19108 19400 19788 20232 20400 21075 21825 22480 23280 23885 24735 25290 26384 27257 28100 28662 29100 29682 30600 32980 33720 34920 38216 38800 39576 40464 41225 42150 42993 43650 47770 49470 50580 54514 56200 57324 58200 59364 61200 63225 65960 67440 69840 71655 74205 76432 78961 79152 81771 82450 84300 85986 87300 95540 98940 101160 109028 112400 114648 116400 118728 119425 123675 126450 131920 136285 143310 148410 157922 163542 164900 168600 171972 174600 191080 197880 202320 214965 218056 229296 236883 237456 238850 245313 247350 252900 272570 286620 296820 315844 327084 329800 337200 343944 349200 358275 371025 382160 394805 395760 408855 429930 436112 463369 473766 477700 490626 494700 505800 545140 573240 593640 631688 654168 659600 681425 687888 710649 716550 742050 789610 817710 859860 926738 947532 955400 981252 989400 1011600 1074825 1090280 1146480 1184415 1187280 1226565 1263376 1308336 1342337 1362850 1390107 1421298 1433100 1484100 1579220 1635420 1719720 1853476 1895064 1910800 1962504 1974025 1978800 2044275 2149650 2180560 2316845 2368830 2453130 2684674 2725700 2780214 2842596 2866200 2968200 3158440 3270840 3439440 3553245 3706952 3790128 3925008 3948050 4027011 4088550 4170321 4299300 4633690 4737660 4906260 5369348 5451400 5560428 5685192 5732400 5922075 5936400 6132825 6316880 6541680 6711685 6950535 7106490 7413904 7659217 7896100 8054022 8177100 8340642 8598600 9267380 9475320 9812520 10738696 10902800 11120856 11370384 11584225 11844150 12081033 12265650 13423370 13901070 14212980 15318434 15792200 16108044 16354200 16681284 17197200 17766225 18534760 18950640 19625040 20135055 20851605 21477392 22241712 22977651 23168450 23688300 24162066 24531300 26846740 27802140 28425960 30636868 31584400 32216088 32708400 33362568 33558425 34752675 35532450 37069520 38296085 40270110 41703210 45955302 46336900 47376600 48324132 49062600 53693480 55604280 56851920 60405165 61273736 64432176 66725136 67116850 68932953 69505350 71064900 76592170 80540220 83406420 91910604 92673800 94753200 96648264 98125200 100675275 104258025 107386960 111208560 114888255 120810330 122547472 130206689 134233700 137865906 139010700 142129800 153184340 161080440 166812840 183821208 185347600 191480425 193296528 201350550 208516050 229776510 241620660 260413378 268467400 275731812 278021400 284259600 302025825 306368680 322160880 333625680 344664765 367642416 382960850 390620067 402701100 417032100 459553020 483241320 520826756 536934800 551463624 556042800 574441275 604051650 612737360 651033445 689329530 765921700 781240134 805402200 834064200 919106040 966482640 1041653512 1102927248 1148882550 1171860201 1208103300 1302066890 1378659060 1531843400 1562480268 1610804400 1668128400 1723323825 1838212080 1953100335 2083307024 2297765100 2343720402 2416206600 2604133780 2757318120 3063686800 3124960536 3255167225 3446647650 3906200670 4595530200 4687440804 4832413200 5208267560 5514636240 5859301005 6249921072 6510334450 6893295300 7812401340 9191060400 9374881608 9765501675 10416535120 11718602010 13020668900 13786590600 15624802680 18749763216 19531003350 23437204020 26041337800 27573181200 29296505025 31249605360 39062006700 46874408040 52082675600 58593010050 78124013400 93748816080 117186020100 156248026800 234372040200 468744080400
• Sum of all divisors σ(n): 1746329657436
• Sum of proper divisors (its aliquot sum) s(n): 1277585577036
• 468744080400 is an abundant number, because the sum of its proper divisors (1277585577036) is greater than itself. Its abundance is 808841496636

Bases of 468744080400

• Binary: 110110100100011010100110000110000010000₂
• Hexadecimal: 0x6D23530C10
• Base-36: 5ZC64F80

Squares and roots of 468744080400

• 468744080400 squared (468744080400²) is 219721012910041664160000
• 468744080400 cubed (468744080400³) is 102992924141074007792364838464000000
• The square root of 468744080400 is 684648.8738032073
• The cube root of 468744080400 is 7768.0485650607

Scales and comparisons

• 468,744,080,400 seconds is equal to 14,904 years, 31 weeks, 5 days, 17 hours.
• To count from 1 to 468,744,080,400 would take you about twenty-nine thousand, eight hundred 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 468744080400 cubic inches would be around 647.3 feet tall.

Recreational maths with 468744080400

• 468744080400 backwards is 004080447864
• 468744080400 is a Harshad number.
• The number of decimal digits it has is: 12
• The sum of 468744080400's digits is 45
• More coming soon!