Search a number
-
+
157146316308 = 22325382361801
BaseRepresentation
bin1001001001011010100…
…1100111111000010100
3120000121210111222220100
42102112221213320110
510033313424110213
6200105250534100
714232142435452
oct2222651477024
9500553458810
10157146316308
1160710aa9393
1226557b97330
1311a84c946a7
14786a9179d2
15414b19b773
hex2496a67e14

157146316308 has 36 divisors (see below), whose sum is σ = 404725895028. Its totient is φ = 51393763200.

The previous prime is 157146316247. The next prime is 157146316309. The reversal of 157146316308 is 803613641751.

157146316308 is a `hidden beast` number, since 1 + 5 + 7 + 1 + 4 + 6 + 3 + 1 + 630 + 8 = 666.

157146316308 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 102802314384 + 54344001924 = 320628^2 + 233118^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (157146316309) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 41178993 + ... + 41182808.

It is an arithmetic number, because the mean of its divisors is an integer number (11242385973).

Almost surely, 2157146316308 is an apocalyptic number.

157146316308 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

157146316308 is an abundant number, since it is smaller than the sum of its proper divisors (247579578720).

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

157146316308 is a wasteful number, since it uses less digits than its factorization.

157146316308 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82361864 (or 82361859 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The spelling of 157146316308 in words is "one hundred fifty-seven billion, one hundred forty-six million, three hundred sixteen thousand, three hundred eight".

Divisors: 1 2 3 4 6 9 12 18 36 53 106 159 212 318 477 636 954 1908 82361801 164723602 247085403 329447204 494170806 741256209 988341612 1482512418 2965024836 4365175453 8730350906 13095526359 17460701812 26191052718 39286579077 52382105436 78573158154 157146316308