Search a number
-
+
150074855040 = 27351148714591
BaseRepresentation
bin1000101111000100101…
…0001000111010000000
3112100100222022112200110
42023301022020322000
54424323130330130
6152535440551320
713561665135345
oct2136112107200
9470328275613
10150074855040
1158712385920
1225103922540
13111c8c2aa96
1473996b87cc
153d85468ab0
hex22f1288e80

150074855040 has 256 divisors, whose sum is σ = 522958602240. Its totient is φ = 36304588800.

The previous prime is 150074855023. The next prime is 150074855041. The reversal of 150074855040 is 40558470051.

150074855040 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 150074855040.

It is not an unprimeable number, because it can be changed into a prime (150074855041) 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, 10278145 + ... + 10292735.

It is an arithmetic number, because the mean of its divisors is an integer number (2042807040).

Almost surely, 2150074855040 is an apocalyptic number.

150074855040 is a gapful number since it is divisible by the number (10) 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 150074855040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (261479301120).

150074855040 is an abundant number, since it is smaller than the sum of its proper divisors (372883747200).

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

150074855040 is a wasteful number, since it uses less digits than its factorization.

150074855040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15111 (or 15099 counting only the distinct ones).

The product of its (nonzero) digits is 112000, while the sum is 39.

The spelling of 150074855040 in words is "one hundred fifty billion, seventy-four million, eight hundred fifty-five thousand, forty".