Search a number
-
+
14153414130 = 2325373421609
BaseRepresentation
bin11010010111001101…
…11111010111110010
31100112101010221012100
431023212333113302
5212441233223010
610300232441230
71010510015022
oct151346772762
940471127170
1014153414130
116003262579
1228abb49216
131447334a7b
14983a0da82
1557c8392c0
hex34b9bf5f2

14153414130 has 48 divisors (see below), whose sum is σ = 36897620760. Its totient is φ = 3764116224.

The previous prime is 14153414123. The next prime is 14153414147. The reversal of 14153414130 is 3141435141.

It can be written as a sum of positive squares in 4 ways, for example, as 12868406721 + 1285007409 = 113439^2 + 35847^2 .

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 14153414094 and 14153414103.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 177235 + ... + 244374.

Almost surely, 214153414130 is an apocalyptic number.

14153414130 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

14153414130 is an abundant number, since it is smaller than the sum of its proper divisors (22744206630).

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

14153414130 is a wasteful number, since it uses less digits than its factorization.

14153414130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 421995 (or 421992 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

Adding to 14153414130 its reverse (3141435141), we get a palindrome (17294849271).

The spelling of 14153414130 in words is "fourteen billion, one hundred fifty-three million, four hundred fourteen thousand, one hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 373 746 1119 1865 2238 3357 3730 5595 6714 11190 16785 33570 421609 843218 1264827 2108045 2529654 3794481 4216090 6324135 7588962 12648270 18972405 37944810 157260157 314520314 471780471 786300785 943560942 1415341413 1572601570 2358902355 2830682826 4717804710 7076707065 14153414130