Search a number
-
+
149831439030 = 232572133078513
BaseRepresentation
bin1000101110001010100…
…1100101001010110110
3112022202000021201200200
42023202221211022312
54423323322022110
6152455343421330
713552651134600
oct2134251451266
9468660251620
10149831439030
11585a7a39869
12250562b4846
131118a682140
147375234170
153d6ddd56c0
hex22e2a652b6

149831439030 has 288 divisors, whose sum is σ = 489669564384. Its totient is φ = 31506112512.

The previous prime is 149831439019. The next prime is 149831439031. The reversal of 149831439030 is 30934138941.

149831439030 is a `hidden beast` number, since 1 + 498 + 3 + 1 + 43 + 90 + 30 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (149831439031) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 17596054 + ... + 17604566.

It is an arithmetic number, because the mean of its divisors is an integer number (1700241543).

Almost surely, 2149831439030 is an apocalyptic number.

149831439030 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 149831439030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (244834782192).

149831439030 is an abundant number, since it is smaller than the sum of its proper divisors (339838125354).

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

149831439030 is a wasteful number, since it uses less digits than its factorization.

149831439030 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8860 (or 8850 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 45.

The spelling of 149831439030 in words is "one hundred forty-nine billion, eight hundred thirty-one million, four hundred thirty-nine thousand, thirty".