Search a number
-
+
314458857460 = 225114573127699
BaseRepresentation
bin1001001001101110011…
…01010101111111110100
31010001200011211002102101
410210313031111333310
520123002431414320
6400243240351444
731501404120616
oct4446715257764
91101604732371
10314458857460
111113a7910980
1250b3b775584
1323865518c77
1411311540db6
1582a6c2ec0a
hex4937355ff4

314458857460 has 48 divisors (see below), whose sum is σ = 721973246400. Its totient is φ = 114098423040.

The previous prime is 314458857403. The next prime is 314458857469. The reversal of 314458857460 is 64758854413.

It is a Harshad number since it is a multiple of its sum of digits (55).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (314458857469) 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, 1463310 + ... + 1664389.

It is an arithmetic number, because the mean of its divisors is an integer number (15041109300).

Almost surely, 2314458857460 is an apocalyptic number.

It is an amenable number.

314458857460 is an abundant number, since it is smaller than the sum of its proper divisors (407514388940).

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

314458857460 is a wasteful number, since it uses less digits than its factorization.

314458857460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3128176 (or 3128174 counting only the distinct ones).

The product of its (nonzero) digits is 12902400, while the sum is 55.

The spelling of 314458857460 in words is "three hundred fourteen billion, four hundred fifty-eight million, eight hundred fifty-seven thousand, four hundred sixty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 220 457 914 1828 2285 4570 5027 9140 10054 20108 25135 50270 100540 3127699 6255398 12510796 15638495 31276990 34404689 62553980 68809378 137618756 172023445 344046890 688093780 1429358443 2858716886 5717433772 7146792215 14293584430 15722942873 28587168860 31445885746 62891771492 78614714365 157229428730 314458857460