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145053244440 = 233251361508103
BaseRepresentation
bin1000011100010111011…
…0001101110000011000
3111212102000021021221200
42013011312031300120
54334032112310230
6150345254234200
713323361143246
oct2070566156030
9455360237850
10145053244440
1156575858515
1224142055960
13108a8773970
1470407cd796
153b8e694160
hex21c5d8dc18

145053244440 has 192 divisors, whose sum is σ = 516010098240. Its totient is φ = 35120010240.

The previous prime is 145053244411. The next prime is 145053244513. The reversal of 145053244440 is 44442350541.

145053244440 is a `hidden beast` number, since 1 + 45 + 0 + 532 + 4 + 44 + 40 = 666.

145053244440 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 (36).

It is a junction number, because it is equal to n+sod(n) for n = 145053244395 and 145053244404.

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 31429 + ... + 539531.

It is an arithmetic number, because the mean of its divisors is an integer number (2687552595).

Almost surely, 2145053244440 is an apocalyptic number.

145053244440 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 145053244440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (258005049120).

145053244440 is an abundant number, since it is smaller than the sum of its proper divisors (370956853800).

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

145053244440 is a wasteful number, since it uses less digits than its factorization.

145053244440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 508194 (or 508187 counting only the distinct ones).

The product of its (nonzero) digits is 153600, while the sum is 36.

Adding to 145053244440 its reverse (44442350541), we get a palindrome (189495594981).

The spelling of 145053244440 in words is "one hundred forty-five billion, fifty-three million, two hundred forty-four thousand, four hundred forty".