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150240328290 = 2325131728126881
BaseRepresentation
bin1000101111101100000…
…1010111101001100010
3112100210111200110022100
42023323001113221202
54430143011001130
6153004111351230
713566044501553
oct2137301275142
9470714613270
10150240328290
1158797826378
122514b222516
13112242b6850
1473b367032a
153d94c52c60
hex22fb057a62

150240328290 has 192 divisors, whose sum is σ = 447020132832. Its totient is φ = 34681651200.

The previous prime is 150240328283. The next prime is 150240328309. The reversal of 150240328290 is 92823042051.

It is a happy number.

150240328290 is a `hidden beast` number, since 1 + 5 + 0 + 2 + 40 + 328 + 290 = 666.

150240328290 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 16 ways, for example, as 35833354209 + 114406974081 = 189297^2 + 338241^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5575650 + ... + 5602530.

Almost surely, 2150240328290 is an apocalyptic number.

150240328290 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 150240328290, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (223510066416).

150240328290 is an abundant number, since it is smaller than the sum of its proper divisors (296779804542).

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

150240328290 is a wasteful number, since it uses less digits than its factorization.

150240328290 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27205 (or 27202 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The spelling of 150240328290 in words is "one hundred fifty billion, two hundred forty million, three hundred twenty-eight thousand, two hundred ninety".