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45234434421204 = 223714925137338603
BaseRepresentation
bin10100100100011111101100…
…11001010011000111010100
312221011100222111202122220120
422102033312121103013110
521412110110202434304
6240112225020031540
712346036311361350
oct1222176631230724
9187140874678816
1045234434421204
111345a8a7a76076
1250a68a06925b0
131c31786968452
14b255032a6460
155369b89740d9
hex2923f66531d4

45234434421204 has 192 divisors, whose sum is σ = 122248553011200. Its totient is φ = 12751630272000.

The previous prime is 45234434421203. The next prime is 45234434421221. The reversal of 45234434421204 is 40212443443254.

45234434421204 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 (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45234434421203) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1171766167 + ... + 1171804769.

It is an arithmetic number, because the mean of its divisors is an integer number (636711213600).

Almost surely, 245234434421204 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 45234434421204, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61124276505600).

45234434421204 is an abundant number, since it is smaller than the sum of its proper divisors (77014118589996).

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

45234434421204 is a wasteful number, since it uses less digits than its factorization.

45234434421204 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39390 (or 39388 counting only the distinct ones).

The product of its (nonzero) digits is 1474560, while the sum is 42.

Adding to 45234434421204 its reverse (40212443443254), we get a palindrome (85446877864458).

The spelling of 45234434421204 in words is "forty-five trillion, two hundred thirty-four billion, four hundred thirty-four million, four hundred twenty-one thousand, two hundred four".