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1414134810431 = 7522738649179
BaseRepresentation
bin10100100101000001000…
…000001100011100111111
312000012010111010120012022
4110211001000030130333
5141132122002413211
63001351120430355
7204111402362630
oct24450100143477
95005114116168
101414134810431
114a5805263602
121aa09aa783bb
13a3477126c25
144c631975887
1526bb9021bdb
hex1494100c73f

1414134810431 has 8 divisors (see below), whose sum is σ = 1616463304320. Its totient is φ = 1211883625368.

The previous prime is 1414134810377. The next prime is 1414134810467. The reversal of 1414134810431 is 1340184314141.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-1414134810431 is a prime.

It is a super-2 number, since 2×14141348104312 (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1414134810391 and 1414134810400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1414134830431) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 19288001 + ... + 19361178.

It is an arithmetic number, because the mean of its divisors is an integer number (202057913040).

Almost surely, 21414134810431 is an apocalyptic number.

1414134810431 is a deficient number, since it is larger than the sum of its proper divisors (202328493889).

1414134810431 is an equidigital number, since it uses as much as digits as its factorization.

1414134810431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38654413.

The product of its (nonzero) digits is 18432, while the sum is 35.

The spelling of 1414134810431 in words is "one trillion, four hundred fourteen billion, one hundred thirty-four million, eight hundred ten thousand, four hundred thirty-one".

Divisors: 1 7 5227 36589 38649179 270544253 202019258633 1414134810431