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1314051431460 = 2235181120999211
BaseRepresentation
bin10011000111110011100…
…100011001110000100100
311122121210111121010111120
4103013303210121300210
5133012134131301320
62443400014333540
7163636263606015
oct23076344316044
94577714533446
101314051431460
11467316859669
121928091ba2b0
1396bb7273121
144785980d00c
15242ac817440
hex131f3919c24

1314051431460 has 48 divisors (see below), whose sum is σ = 3699671906112. Its totient is φ = 348477724800.

The previous prime is 1314051431453. The next prime is 1314051431467. The reversal of 1314051431460 is 641341504131.

It is an interprime number because it is at equal distance from previous prime (1314051431453) and next prime (1314051431467).

It is not an unprimeable number, because it can be changed into a prime (1314051431467) 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 15 ways as a sum of consecutive naturals, for example, 60488746 + ... + 60510465.

It is an arithmetic number, because the mean of its divisors is an integer number (77076498044).

Almost surely, 21314051431460 is an apocalyptic number.

1314051431460 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1314051431460 is an abundant number, since it is smaller than the sum of its proper divisors (2385620474652).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1314051431460 is a wasteful number, since it uses less digits than its factorization.

1314051431460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120999404 (or 120999402 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 33.

Adding to 1314051431460 its reverse (641341504131), we get a palindrome (1955392935591).

The spelling of 1314051431460 in words is "one trillion, three hundred fourteen billion, fifty-one million, four hundred thirty-one thousand, four hundred sixty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 181 362 543 724 905 1086 1810 2172 2715 3620 5430 10860 120999211 241998422 362997633 483996844 604996055 725995266 1209992110 1451990532 1814988165 2419984220 3629976330 7259952660 21900857191 43801714382 65702571573 87603428764 109504285955 131405143146 219008571910 262810286292 328512857865 438017143820 657025715730 1314051431460