Search a number
-
+
150114333824 = 2771329071093
BaseRepresentation
bin1000101111001110000…
…0101111010010000000
3112100110201121021101122
42023303200233102000
54424413232140244
6152543411051412
713562654533010
oct2136340572200
9470421537348
10150114333824
115873269a914
1225114ba0b68
1311204171300
1473a0a33c40
153d88b661ee
hex22f382f480

150114333824 has 192 divisors, whose sum is σ = 370838168640. Its totient is φ = 59266142208.

The previous prime is 150114333797. The next prime is 150114333857. The reversal of 150114333824 is 428333411051.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 137341022 + ... + 137342114.

It is an arithmetic number, because the mean of its divisors is an integer number (1931448795).

Almost surely, 2150114333824 is an apocalyptic number.

150114333824 is a gapful number since it is divisible by the number (14) 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 150114333824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185419084320).

150114333824 is an abundant number, since it is smaller than the sum of its proper divisors (220723834816).

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

150114333824 is a wasteful number, since it uses less digits than its factorization.

150114333824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2047 (or 2022 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 35.

Adding to 150114333824 its reverse (428333411051), we get a palindrome (578447744875).

The spelling of 150114333824 in words is "one hundred fifty billion, one hundred fourteen million, three hundred thirty-three thousand, eight hundred twenty-four".