Search a number
-
+
150690344112 = 243371116072819
BaseRepresentation
bin1000110001010111011…
…0000010110010110000
3112101221212110121222000
42030111312002302300
54432103212002422
6153120505014000
713613150535210
oct2142566026260
9471855417860
10150690344112
11589a8852980
1225255a84300
13112965ba7b9
147417334240
153dbe4e5cac
hex2315d82cb0

150690344112 has 320 divisors, whose sum is σ = 539794022400. Its totient is φ = 39102117120.

The previous prime is 150690344107. The next prime is 150690344131. The reversal of 150690344112 is 211443096051.

It is a happy number.

150690344112 is a `hidden beast` number, since 1 + 506 + 9 + 0 + 34 + 4 + 112 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 53453839 + ... + 53456657.

It is an arithmetic number, because the mean of its divisors is an integer number (1686856320).

Almost surely, 2150690344112 is an apocalyptic number.

150690344112 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 150690344112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (269897011200).

150690344112 is an abundant number, since it is smaller than the sum of its proper divisors (389103678288).

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

150690344112 is a wasteful number, since it uses less digits than its factorization.

150690344112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4461 (or 4449 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The spelling of 150690344112 in words is "one hundred fifty billion, six hundred ninety million, three hundred forty-four thousand, one hundred twelve".