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1404314014411 = 71144940618807
BaseRepresentation
bin10100011011110111101…
…000110101001011001011
311222020210001120102201101
4110123313220311023023
5141002013341430121
62553044415002231
7203313132112360
oct24336750651313
94866701512641
101404314014411
114a1625718160
121a81b9b09377
13a25705c2219
144bd7d540467
15267e1c61491
hex146f7a352cb

1404314014411 has 16 divisors (see below), whose sum is σ = 1754732505600. Its totient is φ = 1091833505280.

The previous prime is 1404314014381. The next prime is 1404314014447. The reversal of 1404314014411 is 1144104134041.

It is a happy number.

It is not a de Polignac number, because 1404314014411 - 29 = 1404314013899 is a prime.

It is a super-3 number, since 3×14043140144113 (a number of 37 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 1404314014411.

It is not an unprimeable number, because it can be changed into a prime (1404314014471) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 20274831 + ... + 20343976.

It is an arithmetic number, because the mean of its divisors is an integer number (109670781600).

Almost surely, 21404314014411 is an apocalyptic number.

1404314014411 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

1404314014411 is a deficient number, since it is larger than the sum of its proper divisors (350418491189).

1404314014411 is a wasteful number, since it uses less digits than its factorization.

1404314014411 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40619274.

The product of its (nonzero) digits is 3072, while the sum is 28.

Adding to 1404314014411 its reverse (1144104134041), we get a palindrome (2548418148452).

The spelling of 1404314014411 in words is "one trillion, four hundred four billion, three hundred fourteen million, fourteen thousand, four hundred eleven".

Divisors: 1 7 11 77 449 3143 4939 34573 40618807 284331649 446806877 3127648139 18237844343 127664910401 200616287773 1404314014411