Search a number
-
+
195234025140 = 2233572112172211
BaseRepresentation
bin1011010111010011011…
…0101100111010110100
3200122221012021002002000
42311310312230322310
511144314402301030
6225404514415300
720051036555400
oct2656466547264
9618835232060
10195234025140
1175886576800
1231a07591530
1315544acb9cb
14964113c100
155129d48860
hex2d74daceb4

195234025140 has 1296 divisors, whose sum is σ = 828915030720. Its totient is φ = 38000793600.

The previous prime is 195234025139. The next prime is 195234025159. The reversal of 195234025140 is 41520432591.

195234025140 is a `hidden beast` number, since 1 + 9 + 523 + 40 + 2 + 51 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 195234025095 and 195234025104.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 431 ways as a sum of consecutive naturals, for example, 925279635 + ... + 925279845.

Almost surely, 2195234025140 is an apocalyptic number.

195234025140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 195234025140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (414457515360).

195234025140 is an abundant number, since it is smaller than the sum of its proper divisors (633681005580).

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

195234025140 is a wasteful number, since it uses less digits than its factorization.

195234025140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 299 (or 256 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The spelling of 195234025140 in words is "one hundred ninety-five billion, two hundred thirty-four million, twenty-five thousand, one hundred forty".