Search a number
-
+
1456161626130 = 235218843221797
BaseRepresentation
bin10101001100001001111…
…111110001100000010010
312011012121102000000010220
4111030021333301200102
5142324204334014010
63032541301133510
7210130020412251
oct25141177614022
95135542000126
101456161626130
11511611304242
121b62696ba296
13a7414082303
145069b3bc798
1527d28916970
hex15309ff1812

1456161626130 has 32 divisors (see below), whose sum is σ = 3494819628864. Its totient is φ = 388306241856.

The previous prime is 1456161626099. The next prime is 1456161626137. The reversal of 1456161626130 is 316261616541.

It is not an unprimeable number, because it can be changed into a prime (1456161626137) 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, 6454392 + ... + 6676188.

It is an arithmetic number, because the mean of its divisors is an integer number (109213113402).

Almost surely, 21456161626130 is an apocalyptic number.

1456161626130 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1456161626130 is an abundant number, since it is smaller than the sum of its proper divisors (2038658002734).

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

1456161626130 is a wasteful number, since it uses less digits than its factorization.

1456161626130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 440650.

The product of its (nonzero) digits is 155520, while the sum is 42.

The spelling of 1456161626130 in words is "one trillion, four hundred fifty-six billion, one hundred sixty-one million, six hundred twenty-six thousand, one hundred thirty".

Divisors: 1 2 3 5 6 10 15 30 218843 221797 437686 443594 656529 665391 1094215 1108985 1313058 1330782 2188430 2217970 3282645 3326955 6565290 6653910 48538720871 97077441742 145616162613 242693604355 291232325226 485387208710 728080813065 1456161626130