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45352544041120 = 255283453400257
BaseRepresentation
bin10100100111111011101100…
…10001101111100010100000
312221120122211202212000102211
422103331312101233202200
521421024002233303440
6240242400543051504
712360420214521511
oct1223756621574240
9187518752760384
1045352544041120
11134a59a68556a8
1251057632a0b94
131c3c95a309804
14b2b10952aa08
15539acc9bbeea
hex293f7646f8a0

45352544041120 has 24 divisors (see below), whose sum is σ = 107145385297524. Its totient is φ = 18141017616384.

The previous prime is 45352544041099. The next prime is 45352544041153. The reversal of 45352544041120 is 2114044525354.

It can be written as a sum of positive squares in 2 ways, for example, as 45311799811216 + 40744229904 = 6731404^2 + 201852^2 .

It is a Harshad number since it is a multiple of its sum of digits (40).

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 141726699969 + ... + 141726700288.

Almost surely, 245352544041120 is an apocalyptic number.

45352544041120 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

45352544041120 is an abundant number, since it is smaller than the sum of its proper divisors (61792841256404).

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

45352544041120 is a wasteful number, since it uses less digits than its factorization.

45352544041120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 283453400272 (or 283453400264 counting only the distinct ones).

The product of its (nonzero) digits is 384000, while the sum is 40.

Adding to 45352544041120 its reverse (2114044525354), we get a palindrome (47466588566474).

The spelling of 45352544041120 in words is "forty-five trillion, three hundred fifty-two billion, five hundred forty-four million, forty-one thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 283453400257 566906800514 1133813601028 1417267001285 2267627202056 2834534002570 4535254404112 5669068005140 9070508808224 11338136010280 22676272020560 45352544041120