Search a number
-
+
14337600020 = 2251129634969
BaseRepresentation
bin11010101101001011…
…00110101000010100
31101000012201112201222
431112211212220110
5213330411200040
610330412305512
71015204406102
oct152645465024
941005645658
1014337600020
116098224117
122941772298
131476542cc3
149a0276c72
1558dabcbb5
hex356966a14

14337600020 has 24 divisors (see below), whose sum is σ = 30135676200. Its totient is φ = 5729951232.

The previous prime is 14337600007. The next prime is 14337600023. The reversal of 14337600020 is 2000673341.

It can be written as a sum of positive squares in 4 ways, for example, as 973315204 + 13364284816 = 31198^2 + 115604^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14337600023) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 294905 + ... + 340064.

It is an arithmetic number, because the mean of its divisors is an integer number (1255653175).

Almost surely, 214337600020 is an apocalyptic number.

14337600020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14337600020 is an abundant number, since it is smaller than the sum of its proper divisors (15798076180).

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

14337600020 is a wasteful number, since it uses less digits than its factorization.

14337600020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 636107 (or 636105 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 26.

The spelling of 14337600020 in words is "fourteen billion, three hundred thirty-seven million, six hundred thousand, twenty".

Divisors: 1 2 4 5 10 20 1129 2258 4516 5645 11290 22580 634969 1269938 2539876 3174845 6349690 12699380 716880001 1433760002 2867520004 3584400005 7168800010 14337600020