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150044312000 = 26531117100297
BaseRepresentation
bin1000101110111101010…
…1101000000111000000
3112100021211211210111202
42023233111220013000
54424242320441000
6152532430200332
713561144415522
oct2135725500700
9470254753452
10150044312000
11586a7114440
12250b56530a8
13111c27c588b
147395607a12
153d82933dd5
hex22ef5681c0

150044312000 has 224 divisors, whose sum is σ = 429214458816. Its totient is φ = 51351552000.

The previous prime is 150044311987. The next prime is 150044312003. The reversal of 150044312000 is 213440051.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (150044312003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1445852 + ... + 1546148.

Almost surely, 2150044312000 is an apocalyptic number.

150044312000 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 150044312000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (214607229408).

150044312000 is an abundant number, since it is smaller than the sum of its proper divisors (279170146816).

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

150044312000 is a wasteful number, since it uses less digits than its factorization.

150044312000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100352 (or 100332 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 20.

Adding to 150044312000 its reverse (213440051), we get a palindrome (150257752051).

The spelling of 150044312000 in words is "one hundred fifty billion, forty-four million, three hundred twelve thousand".