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150144311105 = 5732331765469
BaseRepresentation
bin1000101111010101001…
…1000101111101000001
3112100112211000021111022
42023311103011331001
54424443420423410
6152550401355225
713563500405225
oct2136523057501
9470484007438
10150144311105
1158748605228
1225123038b15
131120a438b49
1473a49d8785
153d8b5d8455
hex22f54c5f41

150144311105 has 16 divisors (see below), whose sum is σ = 183425271120. Its totient is φ = 117961509888.

The previous prime is 150144311087. The next prime is 150144311113. The reversal of 150144311105 is 501113441051.

150144311105 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 8 ways, for example, as 548636929 + 149595674176 = 23423^2 + 386776^2 .

It is a cyclic number.

It is not a de Polignac number, because 150144311105 - 210 = 150144310081 is a prime.

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 15 ways as a sum of consecutive naturals, for example, 797690 + ... + 967779.

It is an arithmetic number, because the mean of its divisors is an integer number (11464079445).

Almost surely, 2150144311105 is an apocalyptic number.

It is an amenable number.

150144311105 is a deficient number, since it is larger than the sum of its proper divisors (33280960015).

150144311105 is a wasteful number, since it uses less digits than its factorization.

150144311105 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1765780.

The product of its (nonzero) digits is 1200, while the sum is 26.

Adding to 150144311105 its reverse (501113441051), we get a palindrome (651257752156).

The spelling of 150144311105 in words is "one hundred fifty billion, one hundred forty-four million, three hundred eleven thousand, one hundred five".

Divisors: 1 5 73 233 365 1165 17009 85045 1765469 8827345 128879237 411354277 644396185 2056771385 30028862221 150144311105