46381984026624

Names of 46381984026624

• Cardinal: 46381984026624 can be written as Forty-six trillion, three hundred eighty-one billion, nine hundred eighty-four million, twenty-six thousand, six hundred twenty-four.

Scientific notation

• Scientific notation: 4.6381984026624 × 10¹³

Factors of 46381984026624

• Number of distinct prime factors ω(n): 4
• Total number of prime factors Ω(n): 18
• Sum of prime factors: 533

Divisors of 46381984026624

• Number of divisors d(n): 351
• Complete list of divisors:
  1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 79 96 128 144 158 192 237 256 288 316 384 449 474 512 576 632 711 768 898 948 1024 1152 1264 1347 1422 1536 1796 1896 2048 2304 2528 2694 2844 3072 3592 3792 4041 4096 4608 5056 5388 5688 6144 6241 7184 7584 8082 9216 10112 10776 11376 12288 12482 14368 15168 16164 18432 18723 20224 21552 22752 24964 28736 30336 32328 35471 36864 37446 40448 43104 45504 49928 56169 57472 60672 64656 70942 74892 80896 86208 91008 99856 106413 112338 114944 121344 129312 141884 149784 161792 172416 182016 199712 201601 212826 224676 229888 242688 258624 283768 299568 319239 323584 344832 364032 399424 403202 425652 449352 459776 485376 517248 567536 599136 604803 638478 689664 728064 798848 806404 851304 898704 919552 970752 1034496 1135072 1198272 1209606 1276956 1379328 1456128 1597696 1612808 1702608 1797408 1814409 1839104 2068992 2270144 2396544 2419212 2553912 2758656 2802209 2912256 3195392 3225616 3405216 3594816 3628818 4137984 4540288 4793088 4838424 5107824 5517312 5604418 6390784 6451232 6810432 7189632 7257636 8275968 8406627 9080576 9586176 9676848 10215648 11208836 12781568 12902464 13620864 14379264 14515272 15926479 16551936 16813254 18161152 19172352 19353696 20431296 22417672 25219881 25563136 25804928 27241728 28758528 29030544 31852958 33626508 36322304 38344704 38707392 40862592 44835344 47779437 50439762 51609856 54483456 57517056 58061088 63705916 67253016 72644608 76689408 77414784 81725184 89670688 95558874 100879524 103219712 108966912 115034112 116122176 127411832 134506032 143338311 145289216 154829568 163450368 179341376 191117748 201759048 206439424 217933824 230068224 232244352 254823664 269012064 286676622 309659136 326900736 358682752 382235496 403518096 412878848 435867648 464488704 509647328 538024128 573353244 619318272 653801472 717365504 764470992 807036192 825757696 928977408 1019294656 1076048256 1146706488 1238636544 1258191841 1307602944 1434731008 1528941984 1614072384 1857954816 2038589312 2152096512 2293412976 2477273088 2516383682 2869462016 3057883968 3228144768 3715909632 3774575523 4077178624 4304193024 4586825952 5032767364 5738924032 6115767936 6456289536 7431819264 7549151046 8154357248 8608386048 9173651904 10065534728 11323726569 11477848064 12231535872 12912579072 15098302092 16308714496 17216772096 18347303808 20131069456 22647453138 24463071744 25825158144 30196604184 32617428992 34433544192 36694607616 40262138912 45294906276 48926143488 51650316288 60393208368 65234857984 73389215232 80524277824 90589812552 97852286976 103300632576 120786416736 146778430464 161048555648 181179625104 195704573952 241572833472 293556860928 322097111296 362359250208 483145666944 587113721856 644194222592 724718500416 966291333888 1288388445184 1449437000832 1932582667776 2576776890368 2898874001664 3865165335552 5153553780736 5797748003328 7730330671104 11595496006656 15460661342208 23190992013312 46381984026624
• Sum of all divisors σ(n): 135996293717193
• Sum of proper divisors (its aliquot sum) s(n): 89614309690569
• 46381984026624 is an abundant number, because the sum of its proper divisors (89614309690569) is greater than itself. Its abundance is 43232325663945

Bases of 46381984026624

• Binary: 1010100010111100100101101011101001000000000000₂
• Hexadecimal: 0x2A2F25AE9000
• Base-36: GFVL7QPS0

Squares and roots of 46381984026624

• 46381984026624 squared (46381984026624²) is 2151288442246003884740837376
• 46381984026624 cubed (46381984026624³) is 99781026164914979732344970747574038298624
• 46381984026624 is a perfect square number. Its square root is 6810432
• The cube root of 46381984026624 is 35929.3842147971

Scales and comparisons

• 46,381,984,026,624 seconds is equal to 1,474,803 years, 32 weeks, 2 days, 19 hours, 50 minutes, 24 seconds.
• To count from 1 to 46,381,984,026,624 would take you about three million, six hundred eighty-seven thousand and 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 46381984026624 cubic inches would be around 2994.1 feet tall.

Recreational maths with 46381984026624

• 46381984026624 backwards is 42662048918364
• The number of decimal digits it has is: 14
• The sum of 46381984026624's digits is 63
• More coming soon!