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314034130144 = 2571401938081
BaseRepresentation
bin1001001000111011110…
…01001000110011100000
31010000120120121201002001
410210131321020303200
520121120214131034
6400133145133344
731455026030560
oct4443571106340
91100516551061
10314034130144
111111aa096a69
1250a4148a254
13237c852a627
14112b0d80da0
15827e7d4a14
hex491de48ce0

314034130144 has 24 divisors (see below), whose sum is σ = 706576793328. Its totient is φ = 134586055680.

The previous prime is 314034130063. The next prime is 314034130183. The reversal of 314034130144 is 441031430413.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is an unprimeable number.

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 3 ways as a sum of consecutive naturals, for example, 700968817 + ... + 700969264.

It is an arithmetic number, because the mean of its divisors is an integer number (29440699722).

Almost surely, 2314034130144 is an apocalyptic number.

It is an amenable number.

314034130144 is an abundant number, since it is smaller than the sum of its proper divisors (392542663184).

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

314034130144 is a wasteful number, since it uses less digits than its factorization.

314034130144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1401938098 (or 1401938090 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 28.

Adding to 314034130144 its reverse (441031430413), we get a palindrome (755065560557).

The spelling of 314034130144 in words is "three hundred fourteen billion, thirty-four million, one hundred thirty thousand, one hundred forty-four".

Divisors: 1 2 4 7 8 14 16 28 32 56 112 224 1401938081 2803876162 5607752324 9813566567 11215504648 19627133134 22431009296 39254266268 44862018592 78508532536 157017065072 314034130144