Search a number
-
+
148030848000 = 2103353729211
BaseRepresentation
bin1000100111011101010…
…0110111110000000000
3112011002112011020011000
42021313110313300000
54411131344114000
6152000542452000
713460225306220
oct2116724676000
9464075136130
10148030848000
1157863611102
1224833294000
1310c61616069
147244046080
153cb5cb2000
hex2277537c00

148030848000 has 1408 divisors, whose sum is σ = 649904486400. Its totient is φ = 32514048000.

The previous prime is 148030847989. The next prime is 148030848001. The reversal of 148030848000 is 848030841.

148030848000 is a `hidden beast` number, since 148 + 0 + 30 + 8 + 480 + 0 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (148030848001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 701567895 + ... + 701568105.

Almost surely, 2148030848000 is an apocalyptic number.

148030848000 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 148030848000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (324952243200).

148030848000 is an abundant number, since it is smaller than the sum of its proper divisors (501873638400).

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

148030848000 is a wasteful number, since it uses less digits than its factorization.

148030848000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 291 (or 257 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 36.

Adding to 148030848000 its reverse (848030841), we get a palindrome (148878878841).

The spelling of 148030848000 in words is "one hundred forty-eight billion, thirty million, eight hundred forty-eight thousand".