Search a number
-
+
150431065152 = 26343531272707
BaseRepresentation
bin1000110000011001100…
…0111110010001000000
3112101021210120220002120
42030012120332101000
54431040323041102
6153035043444240
713603551645654
oct2140630762100
9471253526076
10150431065152
1158885461845
12251a3086680
13112549797b4
1473d0b20a64
153da687c6bc
hex230663e440

150431065152 has 224 divisors, whose sum is σ = 418377940992. Its totient is φ = 47657465856.

The previous prime is 150431065097. The next prime is 150431065157. The reversal of 150431065152 is 251560134051.

150431065152 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (150431065157) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 55569783 + ... + 55572489.

Almost surely, 2150431065152 is an apocalyptic number.

150431065152 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 150431065152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (209188970496).

150431065152 is an abundant number, since it is smaller than the sum of its proper divisors (267946875840).

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

150431065152 is a wasteful number, since it uses less digits than its factorization.

150431065152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2945 (or 2935 counting only the distinct ones).

The product of its (nonzero) digits is 18000, while the sum is 33.

The spelling of 150431065152 in words is "one hundred fifty billion, four hundred thirty-one million, sixty-five thousand, one hundred fifty-two".