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54433114144 = 252964790659
BaseRepresentation
bin110010101100011101…
…110110100000100000
312012111112111200222121
4302230131312200200
51342434334123034
641001202314024
73634621556533
oct625435664040
9165445450877
1054433114144
11210a308a352
12a671658914
1351963282a6
1428c53c8a1a
151638b701b4
hexcac776820

54433114144 has 48 divisors (see below), whose sum is σ = 111033115200. Its totient is φ = 26237150464.

The previous prime is 54433114123. The next prime is 54433114157. The reversal of 54433114144 is 44141133445.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 555087 + ... + 645745.

It is an arithmetic number, because the mean of its divisors is an integer number (2313189900).

Almost surely, 254433114144 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 54433114144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55516557600).

54433114144 is an abundant number, since it is smaller than the sum of its proper divisors (56600001056).

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

54433114144 is a wasteful number, since it uses less digits than its factorization.

54433114144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 91345 (or 91337 counting only the distinct ones).

The product of its digits is 46080, while the sum is 34.

Adding to 54433114144 its reverse (44141133445), we get a palindrome (98574247589).

The spelling of 54433114144 in words is "fifty-four billion, four hundred thirty-three million, one hundred fourteen thousand, one hundred forty-four".

Divisors: 1 2 4 8 16 29 32 58 116 232 464 647 928 1294 2588 5176 10352 18763 20704 37526 75052 90659 150104 181318 300208 362636 600416 725272 1450544 2629111 2901088 5258222 10516444 21032888 42065776 58656373 84131552 117312746 234625492 469250984 938501968 1701034817 1877003936 3402069634 6804139268 13608278536 27216557072 54433114144