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40314430344411 = 3317319731393319
BaseRepresentation
bin10010010101010011011110…
…10011001100110011011011
312021202000120222002111012000
421022221233103030303123
520241002423132010121
6221424105453452043
711330423110631136
oct1112515723146333
9167660528074160
1040314430344411
1111933287a30743
1246312591a1023
131965832c0c4b2
149d532bd1721d
1549da0e1b8526
hex24aa6f4cccdb

40314430344411 has 128 divisors (see below), whose sum is σ = 66162655641600. Its totient is φ = 24149324759040.

The previous prime is 40314430344401. The next prime is 40314430344431. The reversal of 40314430344411 is 11444303441304.

40314430344411 is a `hidden beast` number, since 40 + 3 + 144 + 3 + 0 + 34 + 441 + 1 = 666.

It is not a de Polignac number, because 40314430344411 - 27 = 40314430344283 is a prime.

It is not an unprimeable number, because it can be changed into a prime (40314430344401) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 431960010 + ... + 432053328.

It is an arithmetic number, because the mean of its divisors is an integer number (516895747200).

Almost surely, 240314430344411 is an apocalyptic number.

40314430344411 is a deficient number, since it is larger than the sum of its proper divisors (25848225297189).

40314430344411 is a wasteful number, since it uses less digits than its factorization.

40314430344411 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93786 (or 93780 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 36.

Adding to 40314430344411 its reverse (11444303441304), we get a palindrome (51758733785715).

The spelling of 40314430344411 in words is "forty trillion, three hundred fourteen billion, four hundred thirty million, three hundred forty-four thousand, four hundred eleven".

Divisors: 1 3 9 17 27 31 51 93 97 153 279 291 313 459 527 837 873 939 1581 1649 2619 2817 3007 4743 4947 5321 8451 9021 9703 14229 14841 15963 27063 29109 30361 44523 47889 51119 81189 87327 91083 93319 143667 153357 164951 261981 273249 279957 460071 494853 516137 819747 839871 941191 1380213 1484559 1548411 1586423 2519613 2823573 2892889 4453677 4645233 4759269 8470719 8678667 9051943 13935699 14277807 16000247 25412157 26036001 27155829 29208847 42833421 48000741 49179113 78108003 81467487 87626541 144002223 147537339 153883031 244402461 262879623 280610233 432006669 442612017 461649093 496550399 788638869 841830699 905474257 1327836051 1384947279 1489651197 2525492097 2716422771 2833258159 4154841837 4468953591 4770373961 7576476291 8149268313 8499774477 13406860773 14311121883 15393062369 24447804939 25499323431 42933365649 46179187107 48165388703 76497970293 87831002929 128800096947 138537561321 144496166109 263493008787 415612683963 433488498327 790479026361 1300465494981 1493127049793 2371437079083 4479381149379 13438143448137 40314430344411