Search a number
-
+
423173147040 = 25355723671009
BaseRepresentation
bin1100010100001110001…
…01011100100110100000
31111110021122221012200000
412022013011130212200
523413124311201130
6522223021100000
742400424254320
oct6120705344640
91443248835600
10423173147040
11153515233796
126a01b9b7600
1330b9c542077
14166a5a83280
15b01b00b260
hex628715c9a0

423173147040 has 1152 divisors, whose sum is σ = 1814365163520. Its totient is φ = 91048624128.

The previous prime is 423173147027. The next prime is 423173147057. The reversal of 423173147040 is 40741371324.

423173147040 is a `hidden beast` number, since 4 + 231 + 7 + 314 + 70 + 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 = 423173146986 and 423173147004.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 419398056 + ... + 419399064.

It is an arithmetic number, because the mean of its divisors is an integer number (1574969760).

Almost surely, 2423173147040 is an apocalyptic number.

423173147040 is a gapful number since it is divisible by the number (40) 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 423173147040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (907182581760).

423173147040 is an abundant number, since it is smaller than the sum of its proper divisors (1391192016480).

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

423173147040 is a wasteful number, since it uses less digits than its factorization.

423173147040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1136 (or 1116 counting only the distinct ones).

The product of its (nonzero) digits is 56448, while the sum is 36.

The spelling of 423173147040 in words is "four hundred twenty-three billion, one hundred seventy-three million, one hundred forty-seven thousand, forty".