Search a number
-
+
14346329088 = 2103713193773
BaseRepresentation
bin11010101110001101…
…11001110000000000
31101000211011000202210
431113012321300000
5213340130012323
610331323342120
71015341533220
oct152706716000
941024130683
1014346329088
1160a2146423
122944681940
1314782ab230
149a14aa080
1558e744293
hex3571b9c00

14346329088 has 704 divisors, whose sum is σ = 51575229440. Its totient is φ = 3439853568.

The previous prime is 14346329077. The next prime is 14346329089. The reversal of 14346329088 is 88092364341.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14346329089) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 196525020 + ... + 196525092.

Almost surely, 214346329088 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14346329088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25787614720).

14346329088 is an abundant number, since it is smaller than the sum of its proper divisors (37228900352).

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

14346329088 is a wasteful number, since it uses less digits than its factorization.

14346329088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 172 (or 154 counting only the distinct ones).

The product of its (nonzero) digits is 995328, while the sum is 48.

The spelling of 14346329088 in words is "fourteen billion, three hundred forty-six million, three hundred twenty-nine thousand, eighty-eight".