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145052522280 = 2335537403327
BaseRepresentation
bin1000011100010111001…
…1011101011100101000
3111212101221220121100000
42013011303131130220
54334031421203110
6150345230543000
713323352044651
oct2070563353450
9455357817300
10145052522280
1156575404996
1224141967a60
13108a8580053
147040682528
153b8e5a01c0
hex21c5cdd728

145052522280 has 192 divisors, whose sum is σ = 502094960640. Its totient is φ = 37635155712.

The previous prime is 145052522249. The next prime is 145052522297. The reversal of 145052522280 is 82225250541.

145052522280 is a `hidden beast` number, since 1 + 4 + 5 + 0 + 52 + 522 + 2 + 80 = 666.

145052522280 is digitally balanced in base 2, 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 (36).

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 47 ways as a sum of consecutive naturals, for example, 157977 + ... + 561303.

It is an arithmetic number, because the mean of its divisors is an integer number (2615077920).

Almost surely, 2145052522280 is an apocalyptic number.

145052522280 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 145052522280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (251047480320).

145052522280 is an abundant number, since it is smaller than the sum of its proper divisors (357042438360).

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

145052522280 is a wasteful number, since it uses less digits than its factorization.

145052522280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 403390 (or 403374 counting only the distinct ones).

The product of its (nonzero) digits is 64000, while the sum is 36.

The spelling of 145052522280 in words is "one hundred forty-five billion, fifty-two million, five hundred twenty-two thousand, two hundred eighty".