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45224032050414 = 2327495772406877
BaseRepresentation
bin10100100100001100010100…
…10111011001110011101110
312221010101010112212110211100
422102012022113121303232
521411422304201103124
6240103344501103530
712345220446601620
oct1222061227316356
9187111115773740
1045224032050414
111345644a116a18
1250a48789b7ba6
131c307b97b9569
14b24bd7922c10
155365aa5d51c9
hex29218a5d9cee

45224032050414 has 48 divisors (see below), whose sum is σ = 112005909950688. Its totient is φ = 12918545188416.

The previous prime is 45224032050367. The next prime is 45224032050433. The reversal of 45224032050414 is 41405023042254.

45224032050414 is a `hidden beast` number, since 4 + 5 + 2 + 2 + 403 + 205 + 0 + 41 + 4 = 666.

45224032050414 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 35578857 + ... + 36828020.

It is an arithmetic number, because the mean of its divisors is an integer number (2333456457306).

Almost surely, 245224032050414 is an apocalyptic number.

45224032050414 is an abundant number, since it is smaller than the sum of its proper divisors (66781877900274).

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

45224032050414 is a wasteful number, since it uses less digits than its factorization.

45224032050414 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72411849 (or 72411846 counting only the distinct ones).

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

Adding to 45224032050414 its reverse (41405023042254), we get a palindrome (86629055092668).

The spelling of 45224032050414 in words is "forty-five trillion, two hundred twenty-four billion, thirty-two million, fifty thousand, four hundred fourteen".

Divisors: 1 2 3 6 7 9 14 18 21 42 63 126 4957 9914 14871 29742 34699 44613 69398 89226 104097 208194 312291 624582 72406877 144813754 217220631 434441262 506848139 651661893 1013696278 1303323786 1520544417 3041088834 4561633251 9123266502 358920889289 717841778578 1076762667867 2153525335734 2512446225023 3230288003601 5024892450046 6460576007202 7537338675069 15074677350138 22612016025207 45224032050414