468906070421600

Names of 468906070421600

• Cardinal: 468906070421600 can be written as Four hundred sixty-eight trillion, nine hundred six billion, seventy million, four hundred twenty-one thousand, six hundred.

Scientific notation

• Scientific notation: 4.689060704216 × 10¹⁴

Factors of 468906070421600

• Number of distinct prime factors ω(n): 5
• Total number of prime factors Ω(n): 15
• Sum of prime factors: 3500

Divisors of 468906070421600

• Number of divisors d(n): 504
• Complete list of divisors:
  1 2 4 5 7 8 10 14 16 17 20 25 28 32 34 35 40 50 56 68 70 80 85 100 112 119 136 140 160 170 175 200 224 238 272 280 289 340 350 400 425 476 544 560 578 595 680 700 800 850 952 1120 1156 1190 1360 1400 1445 1700 1904 2023 2312 2380 2720 2800 2890 2975 3400 3469 3808 4046 4624 4760 4913 5600 5780 5950 6800 6938 7225 8092 9248 9520 9826 10115 11560 11900 13600 13876 14450 16184 17345 19040 19652 20230 23120 23800 24283 24565 27752 28900 32368 34391 34690 39304 40460 46240 47600 48566 49130 50575 55504 57800 58973 64736 68782 69380 78608 80920 83521 86725 95200 97132 98260 101150 111008 115600 117946 121415 122825 137564 138760 157216 161840 167042 171955 173450 194264 196520 202300 231200 235892 242830 245650 275128 277520 294865 323680 334084 343910 346900 388528 393040 404600 412811 417605 471784 485660 491300 550256 555040 584647 589730 607075 668168 687820 693800 777056 786080 809200 825622 835210 859775 943568 971320 982600 1002541 1100512 1169294 1179460 1214150 1336336 1375640 1387600 1419857 1474325 1618400 1651244 1670420 1719550 1887136 1942640 1965200 2005082 2064055 2088025 2338588 2358920 2428300 2672672 2751280 2775200 2839714 2923235 2948650 3302488 3340840 3439100 3885280 3930400 4010164 4128110 4176050 4677176 4717840 4856600 5012705 5502560 5679428 5846470 5897300 6604976 6681680 6878200 7017787 7099285 8020328 8256220 8352100 9354352 9435680 9713200 9938999 10025410 10320275 11358856 11692940 11794600 13209952 13363360 13756400 14035574 14198570 14616175 16040656 16512440 16704200 17043197 18708704 19426400 19877998 20050820 20640550 22717712 23385880 23589200 24137569 25063525 27512800 28071148 28397140 29232350 32081312 33024880 33408400 34086394 35088935 35496425 39755996 40101640 41281100 45435424 46771760 47178400 48275138 49694995 50127050 56142296 56794280 58464700 66049760 66816800 68172788 70177870 70992850 79511992 80203280 82562200 85215985 93543520 96550276 99389990 100254100 112284592 113588560 116929400 119302379 120687845 136345576 140355740 141985700 159023984 160406560 165124400 168962983 170431970 175444675 193100552 198779980 200508200 224569184 227177120 233858800 238604758 241375690 248474975 272691152 280711480 283971400 289734349 318047968 330248800 337925966 340863940 350889350 386201104 397559960 401016400 426079925 467717600 477209516 482751380 496949950 545382304 561422960 567942800 579468698 596511895 603439225 675851932 681727880 701778700 772402208 795119920 802032800 844814915 852159850 954419032 965502760 993899900 1122845920 1135885600 1158937396 1193023790 1206878450 1351703864 1363455760 1403557400 1448671745 1590239840 1689629830 1704319700 1908838064 1931005520 1987799800 2028140443 2317874792 2386047580 2413756900 2703407728 2726911520 2807114800 2897343490 2982559475 3379259660 3408639400 3817676128 3862011040 3975599600 4056280886 4224074575 4635749584 4772095160 4827513800 4925483933 5406815456 5614229600 5794686980 5965118950 6758519320 6817278800 7243358725 7951199200 8112561772 8448149150 9271499168 9544190320 9655027600 9850967866 10140702215 11589373960 11930237900 13517038640 13634557600 14486717450 16225123544 16896298300 19088380640 19310055200 19701935732 20281404430 23178747920 23860475800 24627419665 27034077280 28973434900 32450247088 33792596600 34478387531 39403871464 40562808860 46357495840 47720951600 49254839330 50703511075 57946869800 64900494176 67585193200 68956775062 78807742928 81125617720 83733226861 95441903200 98509678660 101407022150 115893739600 123137098325 135170386400 137913550124 157615485856 162251235440 167466453722 172391937655 197019357320 202814044300 231787479200 246274196650 275827100248 324502470880 334932907444 344783875310 394038714640 405628088600 418666134305 492548393300 551654200496 586132588027 669865814888 689567750620 788077429280 811256177200 837332268610 861959688275 985096786600 1103308400992 1172265176054 1339731629776 1379135501240 1622512354400 1674664537220 1723919376550 1970193573200 2093330671525 2344530352108 2679463259552 2758271002480 2930662940135 3349329074440 3447838753100 3940387146400 4186661343050 4689060704216 5516542004960 5861325880270 6698658148880 6895677506200 8373322686100 9378121408432 11722651760540 13397316297760 13791355012400 14653314700675 16746645372200 18756242816864 23445303521080 27582710024800 29306629401350 33493290744400 46890607042160 58613258802700 66986581488800 93781214084320 117226517605400 234453035210800 468906070421600
• Sum of all divisors σ(n): 1390414124831760
• Sum of proper divisors (its aliquot sum) s(n): 921508054410160
• 468906070421600 is an abundant number, because the sum of its proper divisors (921508054410160) is greater than itself. Its abundance is 452601983988560

Bases of 468906070421600

• Binary: 1101010100111011110110011110000101011000001100000₂
• Hexadecimal: 0x1AA77B3C2B060
• Base-36: 4M7OH3J6U8

Squares and roots of 468906070421600

• 468906070421600 squared (468906070421600²) is 219872902878226498401746560000
• 468906070421600 cubed (468906070421600³) is 103099738880819291788884552311795549696000000
• The square root of 468906070421600 is 21654239.0866453675
• The cube root of 468906070421600 is 77689.4329737547

Scales and comparisons

• 468,906,070,421,600 seconds is equal to 14,909,762 years, 32 weeks, 20 hours, 13 minutes, 20 seconds.
• To count from 1 to 468,906,070,421,600 would take you about thirty-seven million, two hundred seventy-four thousand, four hundred six 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 468906070421600 cubic inches would be around 6474.1 feet tall.

Recreational maths with 468906070421600

• 468906070421600 backwards is 006124070609864
• The number of decimal digits it has is: 15
• The sum of 468906070421600's digits is 53
• More coming soon!