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145446545244 = 2237112131773887
BaseRepresentation
bin1000011101110101001…
…0100010011101011100
3111220102102100001020010
42013131102202131130
54340333303421434
6150452304123220
713336205143650
oct2073522423534
9456372301203
10145446545244
1156757868200
1224231906510
131093c0aac30
14707ab2ca60
153bb3e829e9
hex21dd4a275c

145446545244 has 576 divisors, whose sum is σ = 493338359808. Its totient is φ = 32334888960.

The previous prime is 145446545203. The next prime is 145446545273. The reversal of 145446545244 is 442545644541.

145446545244 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 145446545193 and 145446545202.

It is a congruent number.

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 191 ways as a sum of consecutive naturals, for example, 163975369 + ... + 163976255.

It is an arithmetic number, because the mean of its divisors is an integer number (856490208).

Almost surely, 2145446545244 is an apocalyptic number.

145446545244 is a gapful number since it is divisible by the number (14) 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 145446545244, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (246669179904).

145446545244 is an abundant number, since it is smaller than the sum of its proper divisors (347891814564).

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

145446545244 is a wasteful number, since it uses less digits than its factorization.

145446545244 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1026 (or 1013 counting only the distinct ones).

The product of its digits is 6144000, while the sum is 48.

The spelling of 145446545244 in words is "one hundred forty-five billion, four hundred forty-six million, five hundred forty-five thousand, two hundred forty-four".