Search a number
-
+
148146110112 = 253711134732801
BaseRepresentation
bin1000100111111000110…
…0100011111010100000
3112011101120001011001010
42021332030203322200
54411400401010422
6152020221140520
713463125105320
oct2117614437240
9464346034033
10148146110112
1157912687250
12248659ba740
1310c7c4715b0
14725548b280
153cc0e7db0c
hex227e323ea0

148146110112 has 384 divisors, whose sum is σ = 533262901248. Its totient is φ = 34762752000.

The previous prime is 148146110111. The next prime is 148146110113. The reversal of 148146110112 is 211011641841.

It is an interprime number because it is at equal distance from previous prime (148146110111) and next prime (148146110113).

It is a self number, because there is not a number n which added to its sum of digits gives 148146110112.

It is not an unprimeable number, because it can be changed into a prime (148146110111) 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, 4500112 + ... + 4532912.

It is an arithmetic number, because the mean of its divisors is an integer number (1388705472).

Almost surely, 2148146110112 is an apocalyptic number.

148146110112 is a gapful number since it is divisible by the number (12) 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 148146110112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (266631450624).

148146110112 is an abundant number, since it is smaller than the sum of its proper divisors (385116791136).

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

148146110112 is a wasteful number, since it uses less digits than its factorization.

148146110112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32892 (or 32884 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 30.

Adding to 148146110112 its reverse (211011641841), we get a palindrome (359157751953).

The spelling of 148146110112 in words is "one hundred forty-eight billion, one hundred forty-six million, one hundred ten thousand, one hundred twelve".