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145063215528 = 233711417326227
BaseRepresentation
bin1000011100011001110…
…0010000000110101000
3111212102201000212201020
42013012130100012220
54334042140344103
6150350252052440
713323541662420
oct2070634200650
9455381025636
10145063215528
1156580448990
1224145464120
13108aa85530a
147041c67480
153b904b3753
hex21c67101a8

145063215528 has 256 divisors, whose sum is σ = 469535754240. Its totient is φ = 36254822400.

The previous prime is 145063215523. The next prime is 145063215529. The reversal of 145063215528 is 825512360541.

145063215528 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a self number, because there is not a number n which added to its sum of digits gives 145063215528.

It is not an unprimeable number, because it can be changed into a prime (145063215523) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5517951 + ... + 5544177.

It is an arithmetic number, because the mean of its divisors is an integer number (1834124040).

Almost surely, 2145063215528 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 145063215528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (234767877120).

145063215528 is an abundant number, since it is smaller than the sum of its proper divisors (324472538712).

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

145063215528 is a wasteful number, since it uses less digits than its factorization.

145063215528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26368 (or 26364 counting only the distinct ones).

The product of its (nonzero) digits is 288000, while the sum is 42.

The spelling of 145063215528 in words is "one hundred forty-five billion, sixty-three million, two hundred fifteen thousand, five hundred twenty-eight".