470920321536372864

Names of 470920321536372864

• Cardinal: 470920321536372864 can be written as Four hundred seventy quadrillion, nine hundred twenty trillion, three hundred twenty-one billion, five hundred thirty-six million, three hundred seventy-two thousand, eight hundred sixty-four.

Scientific notation

• Scientific notation: 4.70920321536372864 × 10¹⁷

Factors of 470920321536372864

• Number of distinct prime factors ω(n): 5
• Total number of prime factors Ω(n): 13
• Sum of prime factors: 338118280722

Divisors of 470920321536372864

• Number of divisors d(n): 256
• Complete list of divisors:
  1 2 3 4 6 8 9 12 13 16 18 24 26 27 31 32 36 39 48 52 54 62 64 72 78 93 96 104 108 117 124 128 144 156 186 192 208 216 234 248 279 288 312 351 372 384 403 416 432 468 496 558 576 624 702 744 806 832 837 864 936 992 1116 1152 1209 1248 1404 1488 1612 1664 1674 1728 1872 1984 2232 2418 2496 2808 2976 3224 3348 3456 3627 3744 3968 4464 4836 4992 5616 5952 6448 6696 7254 7488 8928 9672 10881 11232 11904 12896 13392 14508 14976 17856 19344 21762 22464 25792 26784 29016 35712 38688 43524 44928 51584 53568 58032 77376 87048 107136 116064 154752 174096 232128 348192 464256 696384 1392768 338118280673 676236561346 1014354842019 1352473122692 2028709684038 2704946245384 3043064526057 4057419368076 4395537648749 5409892490768 6086129052114 8114838736152 8791075297498 9129193578171 10481666700863 10819784981536 12172258104228 13186612946247 16229677472304 17582150594996 18258387156342 20963333401726 21639569963072 24344516208456 26373225892494 31445000102589 32459354944608 35164301189992 36516774312684 39559838838741 41926666803452 43279139926144 48689032416912 52746451784988 62890000205178 64918709889216 70328602379984 73033548625368 79119677677482 83853333606904 94335000307767 97378064833824 105492903569976 118679516516223 125780000410356 129837419778432 136261667111219 140657204759968 146067097250736 158239355354964 167706667213808 188670000615534 194756129667648 210985807139952 237359033032446 251560000820712 272523334222438 281314409519936 283005000923301 292134194501472 316478710709928 335413334427616 377340001231068 389512259335296 408785001333657 421971614279904 474718066064892 503120001641424 545046668444876 562628819039872 566010001846602 584268389002944 632957421419856 670826668855232 754680002462136 817570002667314 843943228559808 949436132129784 1006240003282848 1090093336889752 1132020003693204 1168536778005888 1226355004000971 1265914842839712 1341653337710464 1509360004924272 1635140005334628 1687886457119616 1898872264259568 2012480006565696 2180186673779504 2264040007386408 2452710008001942 2531829685679424 3018720009848544 3270280010669256 3679065012002913 3797744528519136 4024960013131392 4360373347559008 4528080014772816 4905420016003884 5063659371358848 6037440019697088 6540560021338512 7358130024005826 7595489057038272 8720746695118016 9056160029545632 9810840032007768 12074880039394176 13081120042677024 14716260048011652 15190978114076544 17441493390236032 18112320059091264 19621680064015536 26162240085354048 29432520096023304 36224640118182528 39243360128031072 52324480170708096 58865040192046608 78486720256062144 117730080384093216 156973440512124288 235460160768186432 470920321536372864
• Sum of all divisors σ(n): 1545065295367910400
• Sum of proper divisors (its aliquot sum) s(n): 1074144973831537536
• 470920321536372864 is an abundant number, because the sum of its proper divisors (1074144973831537536) is greater than itself. Its abundance is 603224652295164672

Bases of 470920321536372864

• Binary: 11010001001000010111000100110010010101100000011000010000000₂
• Hexadecimal: 0x6890B8992B03080
• Base-36: 3KSVBL4WD9C0

Squares and roots of 470920321536372864

• 470920321536372864 squared (470920321536372864²) is 221765949235920803868834537235562496
• 470920321536372864 cubed (470920321536372864³) is 104434092119998767017839055419166604311034514630508544
• The square root of 470920321536372864 is 686236345.2458437545
• The cube root of 470920321536372864 is 778005.1598226247

Scales and comparisons

• 470,920,321,536,372,864 seconds is equal to 14,973,809,572 years, 34 weeks, 2 days, 18 hours, 14 minutes, 24 seconds.
• To count from 1 to 470,920,321,536,372,864 would take you about forty-four billion, nine hundred twenty-one million, four hundred twenty-eight thousand, seven hundred seventeen 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 470920321536372864 cubic inches would be around 64833.8 feet tall.

Recreational maths with 470920321536372864

• 470920321536372864 backwards is 468273635123029074
• 470920321536372864 is a Harshad number.
• The number of decimal digits it has is: 18
• The sum of 470920321536372864's digits is 72
• More coming soon!