406138985396032

Names of 406138985396032

• Cardinal: 406138985396032 can be written as Four hundred six trillion, one hundred thirty-eight billion, nine hundred eighty-five million, three hundred ninety-six thousand and thirty-two.

Scientific notation

• Scientific notation: 4.06138985396032 × 10¹⁴

Factors of 406138985396032

• Number of distinct prime factors ω(n): 4
• Total number of prime factors Ω(n): 14
• Sum of prime factors: 231

Divisors of 406138985396032

• Number of divisors d(n): 336
• Complete list of divisors:
  1 2 4 7 8 14 16 28 32 49 56 64 83 98 112 139 166 196 224 278 332 343 392 448 556 581 664 686 784 973 1112 1162 1328 1372 1568 1946 2224 2324 2656 2744 3136 3892 4067 4448 4648 5312 5488 6811 6889 7784 8134 8896 9296 10976 11537 13622 13778 15568 16268 18592 19321 21952 23074 27244 27556 28469 31136 32536 37184 38642 46148 47677 48223 54488 55112 56938 62272 65072 77284 80759 92296 95354 96446 108976 110224 113876 130144 135247 154568 161518 184592 190708 192892 217952 220448 227752 260288 270494 309136 323036 337561 369184 381416 385784 435904 440896 455504 540988 565313 618272 646072 675122 738368 762832 771568 911008 946729 957571 1081976 1130626 1236544 1292144 1350244 1525664 1543136 1603643 1822016 1893458 1915142 2163952 2261252 2362927 2584288 2685619 2700488 3051328 3086272 3207286 3786916 3830284 3957191 4327904 4522504 4725854 5168576 5371238 5400976 6414572 6627103 6702997 7573832 7660568 7914382 8655808 9045008 9451708 10742476 10801952 11225501 12829144 13254206 13405994 15147664 15321136 15828764 18090016 18799333 18903416 21484952 21603904 22451002 25658288 26508412 26811988 30295328 30642272 31657528 36180032 37598666 37806832 42969904 44902004 46920979 51316576 53016824 53623976 60590656 61284544 63315056 75197332 75613664 78578507 85939808 89804008 93841958 102633152 106033648 107247952 126630112 131595331 133102369 150394664 151227328 157157014 171879616 179608016 187683916 212067296 214495904 222906377 253260224 263190662 266204738 300789328 314314028 328446853 359216032 375367832 424134592 428991808 445812754 526381324 532409476 550049549 601578656 628628056 656893706 718432064 750735664 891625508 921167317 931716583 1052762648 1064818952 1100099098 1203157312 1257256112 1313787412 1501471328 1560344639 1783251016 1842334634 1863433166 2105525296 2129637904 2200198196 2514512224 2627574824 3002942656 3120689278 3566502032 3684669268 3726866332 4211050592 4259275808 4400396392 5029024448 5255149648 6241378556 6522016081 7133004064 7369338536 7453732664 8422101184 8518551616 8800792784 10510299296 10922412473 12482757112 13044032162 14266008128 14738677072 14907465328 17601585568 18501229291 21020598592 21844824946 24965514224 26088064324 29477354144 29814930656 35203171136 37002458582 43689649892 45654112567 49931028448 52176128648 58954708288 59629861312 74004917164 76456887311 87379299784 91308225134 99862056896 104352257296 129508605037 148009834328 152913774622 174758599568 182616450268 208704514592 259017210074 296019668656 305827549244 349517199136 365232900536 417409029184 518034420148 592039337312 611655098488 699034398272 730465801072 906560235259 1036068840296 1184078674624 1223310196976 1460931602144 1813120470518 2072137680592 2446620393952 2921863204288 3626240941036 4144275361184 4893240787904 6345921646813 7252481882072 8288550722368 12691843293626 14504963764144 25383686587252 29009927528288 50767373174504 58019855056576 101534746349008 203069492698016 406138985396032
• Sum of all divisors σ(n): 958216160272000
• Sum of proper divisors (its aliquot sum) s(n): 552077174875968
• 406138985396032 is an abundant number, because the sum of its proper divisors (552077174875968) is greater than itself. Its abundance is 145938189479936

Bases of 406138985396032

• Binary: 1011100010110000110011001111101000011011101000000₂
• Hexadecimal: 0x1716199F43740
• Base-36: 3ZYPO9PG74

Squares and roots of 406138985396032

• 406138985396032 squared (406138985396032²) is 164948875458518294171881345024
• 406138985396032 cubed (406138985396032³) is 66992168920939062644487222085960673472544768
• The square root of 406138985396032 is 20152890.2491933399
• The cube root of 406138985396032 is 74055.6548324469

Scales and comparisons

• 406,138,985,396,032 seconds is equal to 12,913,963 years, 24 weeks, 1 day, 8 hours, 13 minutes, 52 seconds.
• To count from 1 to 406,138,985,396,032 would take you about thirty-two million, two hundred eighty-four thousand, nine hundred eight 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 406138985396032 cubic inches would be around 6171.3 feet tall.

Recreational maths with 406138985396032

• 406138985396032 backwards is 230693589831604
• The number of decimal digits it has is: 15
• The sum of 406138985396032's digits is 67
• More coming soon!