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14404182151437 = 36131519909481
BaseRepresentation
bin1101000110011011110000…
…1010010001000100001101
31220000000201012221122000000
43101212330022101010031
53341444231112321222
650345105005154513
73014445030063651
oct321467412210415
956000635848000
1014404182151437
114653863343291
12174776355ba39
13806401b5bbc0
1437b247c3ca61
1519ea44a4c9ac
hexd19bc29110d

14404182151437 has 28 divisors (see below), whose sum is σ = 23257654893564. Its totient is φ = 8864112087360.

The previous prime is 14404182151427. The next prime is 14404182151441. The reversal of 14404182151437 is 73415128140441.

It is a happy number.

14404182151437 is a `hidden beast` number, since 1 + 4 + 4 + 0 + 418 + 215 + 14 + 3 + 7 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 7789173046281 + 6615009105156 = 2790909^2 + 2571966^2 .

It is not a de Polignac number, because 14404182151437 - 24 = 14404182151421 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 14404182151392 and 14404182151401.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14404182151427) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 759945264 + ... + 759964217.

It is an arithmetic number, because the mean of its divisors is an integer number (830630531913).

Almost surely, 214404182151437 is an apocalyptic number.

It is an amenable number.

14404182151437 is a deficient number, since it is larger than the sum of its proper divisors (8853472742127).

14404182151437 is an equidigital number, since it uses as much as digits as its factorization.

14404182151437 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1519909512 (or 1519909497 counting only the distinct ones).

The product of its (nonzero) digits is 430080, while the sum is 45.

The spelling of 14404182151437 in words is "fourteen trillion, four hundred four billion, one hundred eighty-two million, one hundred fifty-one thousand, four hundred thirty-seven".

Divisors: 1 3 9 13 27 39 81 117 243 351 729 1053 3159 9477 1519909481 4559728443 13679185329 19758823253 41037555987 59276469759 123112667961 177829409277 369338003883 533488227831 1108014011649 1600464683493 4801394050479 14404182151437